
Time bar (total: 12.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 40% | 37.4% | 56.2% | 0.1% | 0% | 6.2% | 0% | 7 |
| 48.3% | 45.2% | 48.4% | 0.1% | 0% | 6.2% | 0% | 8 |
| 53% | 48.4% | 42.9% | 0.1% | 0% | 8.6% | 0% | 9 |
| 58.1% | 50.3% | 36.3% | 0.1% | 0% | 13.3% | 0% | 10 |
| 66.1% | 56.8% | 29.1% | 0.1% | 0% | 14% | 0% | 11 |
| 70.4% | 58.8% | 24.7% | 0.1% | 0% | 16.4% | 0% | 12 |
Compiled 19 to 16 computations (15.8% saved)
| 581.0ms | 5 520× | 0 | valid |
| 298.0ms | 1 231× | 2 | valid |
| 209.0ms | 955× | 0 | invalid |
| 194.0ms | 1 320× | 1 | valid |
| 66.0ms | 185× | 3 | valid |
ival-mult: 366.0ms (37.7% of total)ival-sqrt: 185.0ms (19.1% of total)ival-sub: 175.0ms (18% of total)ival-div: 100.0ms (10.3% of total)adjust: 75.0ms (7.7% of total)ival-neg: 49.0ms (5% of total)exact: 9.0ms (0.9% of total)ival-true: 7.0ms (0.7% of total)ival-assert: 4.0ms (0.4% of total)| 1× | egg-herbie |
| 1 418× | times-frac |
| 1 146× | distribute-rgt-in |
| 1 120× | lower-fma.f64 |
| 1 120× | lower-fma.f32 |
| 974× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 158 |
| 1 | 189 | 151 |
| 2 | 590 | 147 |
| 3 | 1942 | 144 |
| 4 | 4692 | 144 |
| 5 | 5896 | 144 |
| 6 | 6384 | 144 |
| 7 | 6472 | 144 |
| 8 | 6511 | 144 |
| 9 | 6782 | 144 |
| 0 | 14 | 17 |
| 0 | 23 | 17 |
| 1 | 45 | 17 |
| 2 | 104 | 17 |
| 3 | 247 | 16 |
| 4 | 409 | 16 |
| 5 | 743 | 16 |
| 6 | 1570 | 16 |
| 7 | 2082 | 16 |
| 8 | 2242 | 16 |
| 9 | 2312 | 16 |
| 10 | 2322 | 16 |
| 11 | 2322 | 16 |
| 12 | 2328 | 16 |
| 0 | 2328 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 111 | 0 | - | 1 | (-4.792509295656241e-141 -6.030816241202453e-222 4.4563888972311437e-178) | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| 64 | 0 | - | 0 | - | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
| 11 | 0 | - | 0 | - | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 5 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) (*.f64 a c)) |
| 0 | 0 | - | 0 | - | (*.f64 a c) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) a) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) | oflow-rescue | 105 | 0 |
| ↳ | (*.f64 b b) | overflow | 86 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | overflow | 30 | |
| ↳ | (*.f64 a c) | overflow | 30 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | overflow | 105 | |
-.f64 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | cancellation | 64 | 0 |
/.f64 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) | u/n | 11 | 0 |
| ↳ | (*.f64 b b) | underflow | 33 | |
| ↳ | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | underflow | 22 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | underflow | 36 | |
| ↳ | (*.f64 a c) | underflow | 36 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | underflow | 5 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | nan-rescue | 5 | 0 |
| ↳ | (*.f64 b b) | overflow | 86 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | overflow | 30 | |
| ↳ | (*.f64 a c) | overflow | 30 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) | uflow-rescue | 5 | 0 |
| ↳ | (*.f64 b b) | underflow | 33 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | underflow | 36 | |
| ↳ | (*.f64 a c) | underflow | 36 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | underflow | 5 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 125 | 1 |
| - | 21 | 109 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 125 | 0 | 1 |
| - | 21 | 0 | 109 |
| number | freq |
|---|---|
| 0 | 110 |
| 1 | 104 |
| 2 | 40 |
| 3 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 43.0ms | 76× | 1 | valid |
| 32.0ms | 346× | 0 | valid |
| 19.0ms | 80× | 2 | valid |
| 3.0ms | 10× | 3 | valid |
Compiled 184 to 60 computations (67.4% saved)
ival-sub: 20.0ms (37.7% of total)ival-mult: 13.0ms (24.5% of total)ival-div: 6.0ms (11.3% of total)ival-sqrt: 6.0ms (11.3% of total)adjust: 5.0ms (9.4% of total)ival-neg: 2.0ms (3.8% of total)exact: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.2% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
Compiled 20 to 14 computations (30% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f64 b) |
| ✓ | cost-diff | 0 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 1 120× | lower-fma.f64 |
| 1 120× | lower-fma.f32 |
| 744× | lower-*.f32 |
| 736× | lower-*.f64 |
| 456× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 70 |
| 0 | 23 | 70 |
| 1 | 45 | 70 |
| 2 | 104 | 70 |
| 3 | 247 | 69 |
| 4 | 409 | 69 |
| 5 | 743 | 69 |
| 6 | 1570 | 69 |
| 7 | 2082 | 69 |
| 8 | 2242 | 69 |
| 9 | 2312 | 69 |
| 10 | 2322 | 69 |
| 11 | 2322 | 69 |
| 12 | 2328 | 69 |
| 0 | 2328 | 65 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
(*.f64 b b) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
#s(literal 4 binary64) |
(*.f64 a c) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) |
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(*.f64 b b) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
#s(literal 4 binary64) |
(*.f64 a c) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.4% | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
| ✓ | accuracy | 96.2% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | accuracy | 77.2% | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
| ✓ | accuracy | 59.6% | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| 17.0ms | 173× | 0 | valid |
| 9.0ms | 40× | 2 | valid |
| 6.0ms | 38× | 1 | valid |
| 1.0ms | 5× | 3 | valid |
Compiled 72 to 16 computations (77.8% saved)
ival-mult: 6.0ms (30% of total)ival-sub: 4.0ms (20% of total)ival-div: 3.0ms (15% of total)ival-sqrt: 3.0ms (15% of total)adjust: 2.0ms (10% of total)ival-neg: 1.0ms (5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (patch (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (/ c (pow b 2)) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor -inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) (taylor -inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) (taylor -inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) (taylor -inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor 0 a) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 b) (/ (* a c) b)) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
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#s(alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 b) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | b | @ | 0 | (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) |
| 1.0ms | a | @ | inf | (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) |
| 1.0ms | b | @ | 0 | (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) |
| 1.0ms | a | @ | -inf | (sqrt (- (* b b) (* 4 (* a c)))) |
| 1.0ms | b | @ | inf | (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) |
| 1× | egg-herbie |
| 9 868× | lower-fma.f64 |
| 9 868× | lower-fma.f32 |
| 7 984× | lower-*.f64 |
| 7 984× | lower-*.f32 |
| 2 264× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 545 | 3138 |
| 1 | 1718 | 3109 |
| 2 | 5758 | 3070 |
| 0 | 8120 | 2910 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -4 (* a c)) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* -4 (* a c)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* -4 (* a c)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
| Outputs |
|---|
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(fma.f64 b (fma.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))) |
(* -1 (/ b a)) |
(neg.f64 (/.f64 b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(fma.f64 b (fma.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 c (*.f64 b b))) (neg.f64 (/.f64 b a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(fma.f64 b (fma.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c (*.f64 b b)))) (neg.f64 (/.f64 b a))) |
(* -1 (/ c b)) |
(/.f64 c (neg.f64 b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) c)) (neg.f64 b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) c))) (neg.f64 b)) |
(* -1 (/ b a)) |
(neg.f64 (/.f64 b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/.f64 (fma.f64 a (fma.f64 c (*.f64 c (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 c b)) (neg.f64 b)) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))) (/.f64 c b)) (neg.f64 b)) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)) (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 b #s(literal 1/2 binary64))) a)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) a)) a)) |
(* -1 (/ b a)) |
(neg.f64 (/.f64 b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(-.f64 (fma.f64 c (*.f64 c (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 c b)) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(fma.f64 (*.f64 c c) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b)))) (-.f64 (/.f64 c b) (/.f64 b a))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(*.f64 c (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(*.f64 c (fma.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a)))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(*.f64 c (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a))) (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(*.f64 (-.f64 (/.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) c))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))))) c)) c))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(- (pow b 2) (* 4 (* a c))) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(- (pow b 2) (* 4 (* a c))) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(- (pow b 2) (* 4 (* a c))) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
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b |
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b |
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(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 c (*.f64 c (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 c b)) b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 a (fma.f64 a (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 (/.f64 c b) #s(literal -2 binary64))) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(*.f64 a (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(*.f64 a (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64))))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (neg.f64 a)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 c (*.f64 #s(literal -2 binary64) (/.f64 a b)) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 a (*.f64 c (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 a b)) b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 c (fma.f64 c (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 a b))) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c)))))))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(neg.f64 (*.f64 c (fma.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c)))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(neg.f64 (*.f64 c (fma.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)) (fma.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c)))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))))) |
| 1× | batch-egg-rewrite |
| 5 318× | lower-fma.f64 |
| 5 318× | lower-fma.f32 |
| 4 626× | lower-*.f32 |
| 4 618× | lower-*.f64 |
| 3 036× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 51 |
| 0 | 23 | 51 |
| 1 | 81 | 51 |
| 2 | 591 | 48 |
| 0 | 8093 | 44 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))) |
(+.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))) |
(+.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 b (*.f64 a #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 #s(literal 2 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) (/.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a (*.f64 #s(literal 2 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) |
(-.f64 (/.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) |
(-.f64 (/.f64 (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a))))) (/.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) (/.f64 (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))))) |
(fma.f64 b (/.f64 #s(literal 1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 b (/.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))) |
(fma.f64 b (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))) |
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(fma.f64 b (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 b (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 (fma.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) |
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(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
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(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 1/2 binary64)) a) |
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(/.f64 (fma.f64 b (*.f64 a #s(literal 2 binary64)) (*.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -1/2 binary64)) (neg.f64 a)) |
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(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
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(/.f64 (fma.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 b (*.f64 b b))) (neg.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) |
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(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(*.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(*.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(*.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal 1 binary64))) |
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(*.f64 (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(*.f64 (fma.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (fma.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b (*.f64 b b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b (*.f64 b b))) (fma.f64 (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (*.f64 b b) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b (*.f64 b b))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (-.f64 (*.f64 b b) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 b (*.f64 b b)))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
b |
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) |
(+.f64 b #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) b) |
(-.f64 #s(literal 0 binary64) b) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) b) |
(-.f64 (/.f64 #s(literal 0 binary64) b) b) |
(fma.f64 b #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 b #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) b #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) b #s(literal 0 binary64)) |
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(neg.f64 b) |
(/.f64 (*.f64 b b) b) |
(/.f64 (*.f64 b (*.f64 b b)) (*.f64 b b)) |
(/.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b))) |
(pow.f64 b #s(literal 1 binary64)) |
(*.f64 b #s(literal 1 binary64)) |
(*.f64 b #s(literal -1 binary64)) |
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 #s(literal 1 binary64) b) |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(fabs.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) (neg.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))) |
(pow.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))) |
(*.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
Compiled 25 299 to 2 233 computations (91.2% saved)
19 alts after pruning (19 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 646 | 19 | 665 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 647 | 19 | 666 |
| Status | Accuracy | Program |
|---|---|---|
| 19.0% | (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) | |
| 27.3% | (/.f64 (/.f64 (fma.f64 b (*.f64 a #s(literal 2 binary64)) (*.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64))) | |
| 22.9% | (/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) | |
| 19.6% | (/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (*.f64 a a)) | |
| 45.2% | (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 52.2% | (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) |
| 32.0% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) | |
| 47.7% | (/.f64 (-.f64 (neg.f64 b) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) | |
| 28.1% | (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 19.7% | (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) |
| 31.1% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) | |
| 31.2% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a)) | |
| ▶ | 31.1% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
| ▶ | 36.6% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))) |
| 26.9% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))) | |
| 36.7% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)) | |
| 35.2% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) | |
| 36.8% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) | |
| ▶ | 36.7% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a))) |
Compiled 748 to 450 computations (39.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) |
| ✓ | cost-diff | 0 | #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) |
| ✓ | cost-diff | 0 | (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | cost-diff | 320 | (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | cost-diff | 0 | (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) a) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 b b) |
| ✓ | cost-diff | 0 | (/.f64 c (*.f64 b b)) |
| ✓ | cost-diff | 0 | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))) |
| ✓ | cost-diff | 640 | (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a))) |
| ✓ | cost-diff | 0 | (/.f64 b a) |
| ✓ | cost-diff | 0 | (neg.f64 (/.f64 b a)) |
| ✓ | cost-diff | 0 | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
| ✓ | cost-diff | 0 | (neg.f64 b) |
| ✓ | cost-diff | 128 | (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) |
| 5 338× | lower-fma.f32 |
| 5 332× | lower-fma.f64 |
| 3 436× | lower-*.f32 |
| 3 418× | lower-*.f64 |
| 2 376× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 398 |
| 0 | 77 | 398 |
| 1 | 151 | 389 |
| 2 | 345 | 383 |
| 3 | 816 | 377 |
| 4 | 1791 | 377 |
| 5 | 3401 | 377 |
| 6 | 5774 | 377 |
| 0 | 8421 | 371 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(neg.f64 b) |
b |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(*.f64 a #s(literal -4 binary64)) |
a |
#s(literal -4 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a))) |
(neg.f64 (/.f64 b a)) |
(/.f64 b a) |
b |
a |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))) |
(fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a))) |
b |
(/.f64 c (*.f64 b b)) |
c |
(*.f64 b b) |
(neg.f64 (/.f64 b a)) |
(/.f64 b a) |
a |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
b |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(*.f64 a #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) |
(*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) |
#s(literal -2 binary64) |
(fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) |
c |
a |
(/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) |
(*.f64 c (*.f64 c (*.f64 a a))) |
(*.f64 c (*.f64 a a)) |
(*.f64 a a) |
(*.f64 b b) |
b |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 b #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) a) |
(-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) b) |
(neg.f64 b) |
b |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(*.f64 a #s(literal -4 binary64)) |
a |
#s(literal -4 binary64) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b (neg.f64 a))) |
(neg.f64 (/.f64 b a)) |
(/.f64 b (neg.f64 a)) |
(/.f64 b a) |
b |
a |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
b |
(/.f64 c (*.f64 b b)) |
c |
(*.f64 b b) |
(neg.f64 (/.f64 b a)) |
(/.f64 b (neg.f64 a)) |
(/.f64 b a) |
a |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(*.f64 a #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 c (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c a) (/.f64 a (*.f64 b b)) a))) b)) (*.f64 a #s(literal 2 binary64))) |
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 c (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c a) (/.f64 a (*.f64 b b)) a))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) |
(/.f64 (*.f64 c (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c a) (/.f64 a (*.f64 b b)) a))) b) |
(*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) |
(*.f64 c (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c a) (/.f64 a (*.f64 b b)) a))) |
#s(literal -2 binary64) |
(fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) |
(*.f64 c (fma.f64 (*.f64 c a) (/.f64 a (*.f64 b b)) a)) |
c |
a |
(/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) |
(*.f64 c (*.f64 c (*.f64 a a))) |
(*.f64 c (*.f64 a a)) |
(*.f64 a a) |
(*.f64 b b) |
b |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 92.7% | (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) |
| ✓ | accuracy | 89.2% | (*.f64 c (*.f64 a a)) |
| ✓ | accuracy | 77.5% | (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) |
| ✓ | accuracy | 35.6% | #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) |
| ✓ | accuracy | 98.0% | (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
| ✓ | accuracy | 93.3% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
| ✓ | accuracy | 77.9% | (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | accuracy | 59.6% | (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | accuracy | 100.0% | (neg.f64 (/.f64 b a)) |
| ✓ | accuracy | 93.7% | (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a))) |
| ✓ | accuracy | 88.1% | (/.f64 c (*.f64 b b)) |
| ✓ | accuracy | 36.8% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))) |
| ✓ | accuracy | 100.0% | (/.f64 b a) |
| ✓ | accuracy | 100.0% | (neg.f64 (/.f64 b a)) |
| ✓ | accuracy | 36.7% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a))) |
| ✓ | accuracy | 97.8% | (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | accuracy | 96.2% | (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | accuracy | 77.2% | (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
| ✓ | accuracy | 62.1% | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| 65.0ms | 80× | 2 | valid |
| 43.0ms | 78× | 1 | valid |
| 25.0ms | 86× | 0 | valid |
| 11.0ms | 12× | 3 | valid |
Compiled 359 to 45 computations (87.5% saved)
ival-div: 27.0ms (26.4% of total)ival-mult: 24.0ms (23.5% of total)adjust: 17.0ms (16.7% of total)ival-sqrt: 15.0ms (14.7% of total)ival-sub: 9.0ms (8.8% of total)ival-add: 7.0ms (6.9% of total)ival-neg: 3.0ms (2.9% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (patch (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a))) (patch #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (/.f64 b a)) (patch (neg.f64 (/.f64 b a)) #<representation binary64>) () ()) |
#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ()) |
#s(alt (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a))) (patch (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))) (patch #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))) #<representation binary64>) () ()) |
#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) a) (patch (/.f64 #s(literal 1/2 binary64) a) #<representation binary64>) () ()) |
#s(alt (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) (patch (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (*.f64 c (*.f64 a a)) (patch (*.f64 c (*.f64 a a)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (/ c (pow b 2)) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor -inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) (taylor -inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) (taylor -inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) (taylor -inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor 0 a) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 b) (/ (* a c) b)) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
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#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor 0 c) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ a (/ (* (pow a 2) c) (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ a (/ (* (pow a 2) c) (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ a (/ (* (pow a 2) c) (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (pow c 2)) (pow b 2)) (taylor inf c) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) (taylor inf c) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) (taylor inf c) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) (taylor inf c) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (pow c 2)) (pow b 2)) (taylor -inf c) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) (taylor -inf c) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) (taylor -inf c) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) (taylor -inf c) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor 0 a) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ c (/ (* a (pow c 2)) (pow b 2)))) (taylor 0 a) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ c (/ (* a (pow c 2)) (pow b 2)))) (taylor 0 a) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ c (/ (* a (pow c 2)) (pow b 2)))) (taylor 0 a) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (pow c 2)) (pow b 2)) (taylor inf a) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) (taylor inf a) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) (taylor inf a) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) (taylor inf a) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (pow c 2)) (pow b 2)) (taylor -inf a) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) (taylor -inf a) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) (taylor -inf a) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) (taylor -inf a) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (pow c 2)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor inf b) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) (taylor inf b) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) (taylor inf b) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) (taylor inf b) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor -inf b) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) (taylor -inf b) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) (taylor -inf b) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) (taylor -inf b) (#s(alt (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (patch (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor 0 b) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) (taylor 0 b) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor inf b) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (/ c (pow b 2)) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor -inf b) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) (taylor -inf b) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
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#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) (taylor inf c) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) (taylor inf c) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
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#s(alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
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#s(alt (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (taylor -inf c) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) (taylor -inf c) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) (taylor -inf c) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) (taylor -inf c) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* a c) b)) (taylor 0 a) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (taylor inf a) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (taylor -inf a) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (taylor 0 b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 3)) (taylor 0 b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 3)) (taylor 0 b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 3)) (taylor 0 b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* a c) b)) (taylor inf b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* a c) b)) (taylor -inf b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) (taylor -inf b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) (taylor -inf b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) (taylor -inf b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (taylor 0 b) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) (taylor 0 b) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4))))))) (taylor 0 b) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ 1 b) (taylor inf b) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b) (taylor inf b) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b) (taylor inf b) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ -1 b) (taylor -inf b) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* (pow a 2) (pow c 2)) (pow b 2)) (taylor inf a) (#s(alt (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) (patch (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (pow c 2)) (pow b 2)) (taylor inf a) (#s(alt (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) (patch (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (pow c 2)) (pow b 2)) (taylor inf a) (#s(alt (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) (patch (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (pow c 2)) (pow b 2)) (taylor -inf a) (#s(alt (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) (patch (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (pow c 2)) (pow b 2)) (taylor -inf a) (#s(alt (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) (patch (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (pow c 2)) (pow b 2)) (taylor -inf a) (#s(alt (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) (patch (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (pow c 2)) (pow b 2)) (taylor -inf a) (#s(alt (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) (patch (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (pow c 2)) (pow b 2)) (taylor 0 b) (#s(alt (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) (patch (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (pow c 2)) (pow b 2)) (taylor 0 b) (#s(alt (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) (patch (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (pow c 2)) (pow b 2)) (taylor 0 b) (#s(alt (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) (patch (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (pow c 2)) (pow b 2)) (taylor 0 b) (#s(alt (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) (patch (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (pow c 2)) (pow b 2)) (taylor inf b) (#s(alt (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) (patch (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (pow c 2)) (pow b 2)) (taylor inf b) (#s(alt (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) (patch (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (pow c 2)) (pow b 2)) (taylor inf b) (#s(alt (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) (patch (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (pow c 2)) (pow b 2)) (taylor inf b) (#s(alt (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) (patch (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (pow c 2)) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) (patch (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (pow c 2)) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) (patch (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (pow c 2)) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) (patch (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (pow c 2)) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) (patch (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) c) (taylor 0 c) (#s(alt (*.f64 c (*.f64 a a)) (patch (*.f64 c (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) c) (taylor 0 c) (#s(alt (*.f64 c (*.f64 a a)) (patch (*.f64 c (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) c) (taylor 0 c) (#s(alt (*.f64 c (*.f64 a a)) (patch (*.f64 c (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) c) (taylor 0 c) (#s(alt (*.f64 c (*.f64 a a)) (patch (*.f64 c (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) c) (taylor inf c) (#s(alt (*.f64 c (*.f64 a a)) (patch (*.f64 c (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) c) (taylor inf c) (#s(alt (*.f64 c (*.f64 a a)) (patch (*.f64 c (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) c) (taylor inf c) (#s(alt (*.f64 c (*.f64 a a)) (patch (*.f64 c (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) c) (taylor inf c) (#s(alt (*.f64 c (*.f64 a a)) (patch (*.f64 c (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) c) (taylor -inf c) (#s(alt (*.f64 c (*.f64 a a)) (patch (*.f64 c (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) c) (taylor -inf c) (#s(alt (*.f64 c (*.f64 a a)) (patch (*.f64 c (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) c) (taylor -inf c) (#s(alt (*.f64 c (*.f64 a a)) (patch (*.f64 c (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) c) (taylor -inf c) (#s(alt (*.f64 c (*.f64 a a)) (patch (*.f64 c (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) c) (taylor 0 a) (#s(alt (*.f64 c (*.f64 a a)) (patch (*.f64 c (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) c) (taylor 0 a) (#s(alt (*.f64 c (*.f64 a a)) (patch (*.f64 c (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) c) (taylor 0 a) (#s(alt (*.f64 c (*.f64 a a)) (patch (*.f64 c (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) c) (taylor 0 a) (#s(alt (*.f64 c (*.f64 a a)) (patch (*.f64 c (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) c) (taylor inf a) (#s(alt (*.f64 c (*.f64 a a)) (patch (*.f64 c (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) c) (taylor inf a) (#s(alt (*.f64 c (*.f64 a a)) (patch (*.f64 c (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) c) (taylor inf a) (#s(alt (*.f64 c (*.f64 a a)) (patch (*.f64 c (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) c) (taylor inf a) (#s(alt (*.f64 c (*.f64 a a)) (patch (*.f64 c (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) c) (taylor -inf a) (#s(alt (*.f64 c (*.f64 a a)) (patch (*.f64 c (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) c) (taylor -inf a) (#s(alt (*.f64 c (*.f64 a a)) (patch (*.f64 c (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) c) (taylor -inf a) (#s(alt (*.f64 c (*.f64 a a)) (patch (*.f64 c (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) c) (taylor -inf a) (#s(alt (*.f64 c (*.f64 a a)) (patch (*.f64 c (*.f64 a a)) #<representation binary64>) () ())) ()) |
186 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | c | @ | -inf | (+ (* b b) (* c (* a -4))) |
| 6.0ms | c | @ | inf | (sqrt (/ 1 (+ (* b b) (* c (* a -4))))) |
| 2.0ms | c | @ | -inf | (sqrt (/ 1 (+ (* b b) (* c (* a -4))))) |
| 2.0ms | c | @ | -inf | (+ (* c a) (/ (* c (* c (* a a))) (* b b))) |
| 2.0ms | b | @ | -inf | (/ b a) |
| 1× | egg-herbie |
| 9 538× | lower-fma.f64 |
| 9 538× | lower-fma.f32 |
| 8 552× | lower-*.f64 |
| 8 552× | lower-*.f32 |
| 5 072× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1098 | 13911 |
| 1 | 3506 | 13722 |
| 0 | 8913 | 13146 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ c b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (/ b a)) |
(- (/ c b) (/ b a)) |
(- (/ c b) (/ b a)) |
(- (/ c b) (/ b a)) |
(/ c b) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(/ c b) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (/ b a)) |
(/ (- (/ (* a c) b) b) a) |
(/ (- (/ (* a c) b) b) a) |
(/ (- (/ (* a c) b) b) a) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(/ c b) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)) |
(+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(/ c b) |
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) |
(/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ b a) |
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a)))) |
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))) |
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))) |
(/ c b) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))) |
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c)))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 (/ b a))) c))))) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- b (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* 2 (/ (* a c) b)) |
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b) |
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(* 2 b) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 2 (/ (* a c) b)) |
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* 2 (/ (* a c) b)) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* a c) |
(* c (+ a (/ (* (pow a 2) c) (pow b 2)))) |
(* c (+ a (/ (* (pow a 2) c) (pow b 2)))) |
(* c (+ a (/ (* (pow a 2) c) (pow b 2)))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(* a c) |
(* a (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(* a (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(* a (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2)) |
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2)) |
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2)) |
(* a c) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* a c) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) |
(* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) |
(* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) |
(* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) |
(* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) |
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4))))))) |
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4))))))))) |
(/ 1 b) |
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b) |
(/ -1 b) |
(* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)) |
(/ 1 b) |
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b)) |
(+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b)) |
(+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b)) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))) |
(+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(/ 1 b) |
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b)) |
(+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b)) |
(+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b)) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))) |
(+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(/ -1/4 (* a c)) |
(- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c)))) |
(- (* (pow b 2) (- (* -1/64 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c)))) |
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (/ (pow b 2) (* (pow a 4) (pow c 4)))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c)))) |
(/ 1 (pow b 2)) |
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2)) |
(/ 1 (pow b 2)) |
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2)) |
(/ 1 (pow b 2)) |
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2))) |
(+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2))) |
(+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2))) |
(/ -1/4 (* a c)) |
(/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c) |
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a)))) c) |
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 4) (pow c 3)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))))) c) |
(/ -1/4 (* a c)) |
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c)) |
(/ 1 (pow b 2)) |
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2))) |
(+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2))) |
(+ (* a (- (* a (- (* 64 (/ (* a (pow c 3)) (pow b 8))) (* -16 (/ (pow c 2) (pow b 6))))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2))) |
(/ -1/4 (* a c)) |
(/ (- (* -1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a) |
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c)))) a) |
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 3) (pow c 4)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))))) a) |
(/ -1/4 (* a c)) |
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a)) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -4 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -4 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
| Outputs |
|---|
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(fma.f64 b (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) a)))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(*.f64 b (+.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) a)))) |
(* -1 (/ c b)) |
(/.f64 c (neg.f64 b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (neg.f64 b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) c)) (neg.f64 b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64)) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) c))) (neg.f64 b)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(fma.f64 c (fma.f64 a (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) (/.f64 b (neg.f64 a))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(-.f64 (*.f64 c (fma.f64 c (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) b))) (/.f64 b a)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(*.f64 (*.f64 c #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a)))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(*.f64 c (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(*.f64 c (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(*.f64 (-.f64 (/.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 c a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)) c))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (/.f64 (fma.f64 (*.f64 #s(literal 1/128 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))))) c)) c))) (neg.f64 c)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/.f64 (fma.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)) (neg.f64 b)) a) |
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(*.f64 (neg.f64 b) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 c (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 a b))) b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))) (neg.f64 c)) |
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(*.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))) (neg.f64 c)) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)) b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(*.f64 a (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
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(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(*.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))))) (neg.f64 a)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a))) |
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(fma.f64 b (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
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(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) a)))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
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(* -1 (/ c b)) |
(/.f64 c (neg.f64 b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
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(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
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(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a) |
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(/.f64 (fma.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)) (neg.f64 b)) a) |
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(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
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(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
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(/ 1/2 a) |
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(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))) |
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(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
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(* 2 (/ (* a c) b)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) b) |
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(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c))) b) |
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(* 2 b) |
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(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
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(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
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(* -1 (* (sqrt (* a c)) (sqrt -4))) |
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(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
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(* 2 (/ (* a c) b)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) b) |
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(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) |
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(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
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b |
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b |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))) (neg.f64 c)) |
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(neg.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)) b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(*.f64 a (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(*.f64 a (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(neg.f64 (*.f64 a (fma.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(*.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))))) (neg.f64 a)) |
(* a c) |
(*.f64 c a) |
(* c (+ a (/ (* (pow a 2) c) (pow b 2)))) |
(*.f64 c (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a)) |
(* c (+ a (/ (* (pow a 2) c) (pow b 2)))) |
(*.f64 c (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a)) |
(* c (+ a (/ (* (pow a 2) c) (pow b 2)))) |
(*.f64 c (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(*.f64 (*.f64 c c) (+.f64 (/.f64 a c) (/.f64 (*.f64 a a) (*.f64 b b)))) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(*.f64 (*.f64 c c) (+.f64 (/.f64 a c) (/.f64 (*.f64 a a) (*.f64 b b)))) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(*.f64 (*.f64 c c) (+.f64 (/.f64 a c) (/.f64 (*.f64 a a) (*.f64 b b)))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(*.f64 (*.f64 c c) (+.f64 (/.f64 a c) (/.f64 (*.f64 a a) (*.f64 b b)))) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(*.f64 (*.f64 c c) (+.f64 (/.f64 a c) (/.f64 (*.f64 a a) (*.f64 b b)))) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(*.f64 (*.f64 c c) (+.f64 (/.f64 a c) (/.f64 (*.f64 a a) (*.f64 b b)))) |
(* a c) |
(*.f64 c a) |
(* a (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) |
(* a (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) |
(* a (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(*.f64 (*.f64 a a) (+.f64 (/.f64 c a) (/.f64 (*.f64 c c) (*.f64 b b)))) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(*.f64 (*.f64 a a) (+.f64 (/.f64 c a) (/.f64 (*.f64 c c) (*.f64 b b)))) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(*.f64 (*.f64 a a) (+.f64 (/.f64 c a) (/.f64 (*.f64 c c) (*.f64 b b)))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(*.f64 (*.f64 a a) (+.f64 (/.f64 c a) (/.f64 (*.f64 c c) (*.f64 b b)))) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(*.f64 (*.f64 a a) (+.f64 (/.f64 c a) (/.f64 (*.f64 c c) (*.f64 b b)))) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(*.f64 (*.f64 a a) (+.f64 (/.f64 c a) (/.f64 (*.f64 c c) (*.f64 b b)))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2)) |
(/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) |
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2)) |
(/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) |
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2)) |
(/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) |
(* a c) |
(*.f64 c a) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) |
(* a c) |
(*.f64 c a) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(fma.f64 b (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) a)))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(*.f64 b (+.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) a)))) |
(* -1 (/ c b)) |
(/.f64 c (neg.f64 b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (neg.f64 b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) c)) (neg.f64 b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64)) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) c))) (neg.f64 b)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
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(/ 1 (pow b 2)) |
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(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2)) |
(/.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)) |
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2)) |
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(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2)) |
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(/ 1 (pow b 2)) |
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(/ -1/4 (* a c)) |
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(/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c) |
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(/ -1/4 (* a c)) |
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(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 c (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a (*.f64 a a))))) (neg.f64 c)) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) c)) (neg.f64 c)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2))) |
(fma.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 c (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2))) |
(fma.f64 a (fma.f64 (*.f64 #s(literal 16 binary64) a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 c (pow.f64 b #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(+ (* a (- (* a (- (* 64 (/ (* a (pow c 3)) (pow b 8))) (* -16 (/ (pow c 2) (pow b 6))))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 8 binary64))) (*.f64 #s(literal 16 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 6 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 c (pow.f64 b #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(/ -1/4 (* a c)) |
(/.f64 #s(literal -1/4 binary64) (*.f64 c a)) |
(/ (- (* -1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a) |
(/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 c c))) (/.f64 #s(literal -1/4 binary64) c)) a) |
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c)))) a) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1/4 binary64) c))) a) |
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 3) (pow c 4)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))))) a) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1/4 binary64) c)))) a) |
(/ -1/4 (* a c)) |
(/.f64 #s(literal -1/4 binary64) (*.f64 c a)) |
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)) |
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1/4 binary64) c)) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c c)))) a)) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 c (*.f64 c c))))) (neg.f64 a)) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c c)))) a)) (neg.f64 a)) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c)) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
| 1× | batch-egg-rewrite |
| 5 002× | lower-*.f32 |
| 4 984× | lower-*.f64 |
| 4 490× | lower-/.f32 |
| 4 472× | lower-/.f64 |
| 4 154× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 311 |
| 0 | 77 | 315 |
| 1 | 297 | 284 |
| 2 | 2505 | 276 |
| 0 | 9290 | 276 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(neg.f64 b) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a))) |
(neg.f64 (/.f64 b a)) |
(/.f64 b a) |
(fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))) |
(/.f64 c (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(/.f64 #s(literal 1/2 binary64) a) |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) |
(*.f64 c (*.f64 a a)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) |
(neg.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64)))) |
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(pow.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal -1/2 binary64)) |
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(pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1/4 binary64)) |
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(pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) (fma.f64 b b (*.f64 a (*.f64 c #s(literal 4 binary64)))))) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 4 binary64)))) #s(literal -1/2 binary64))) |
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(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b (neg.f64 a))) |
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(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
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(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (+.f64 #s(literal 0 binary64) (/.f64 b a))) |
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(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 c a)) #s(literal 64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))) |
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(/.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
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(pow.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1/4 binary64)) |
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(pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1 binary64)) |
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) (fma.f64 b b (*.f64 a (*.f64 c #s(literal 4 binary64)))))) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 4 binary64)))) #s(literal -1/2 binary64))) |
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(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(+.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) (*.f64 c a)) |
(+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) |
(-.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 c (-.f64 a (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))))) (/.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 c (*.f64 c (*.f64 a a)))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 c (-.f64 a (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) (*.f64 c a)) |
(fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) |
(fma.f64 c (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)) (*.f64 c a)) |
(fma.f64 a c (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) |
(fma.f64 (*.f64 c (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 c a)) |
(fma.f64 (*.f64 c (*.f64 c (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 c a)) |
(fma.f64 (/.f64 c b) (/.f64 (*.f64 c (*.f64 a a)) b) (*.f64 c a)) |
(fma.f64 (neg.f64 (*.f64 c (*.f64 c (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 b b))) (*.f64 c a)) |
(fma.f64 (/.f64 (*.f64 c (*.f64 a a)) b) (/.f64 c b) (*.f64 c a)) |
(fma.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) b) (*.f64 c a)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 c a)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 a a)))) #s(literal -1 binary64)) (*.f64 c a)) |
(fma.f64 (*.f64 c c) (*.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (*.f64 c a)) |
(fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 c a)) |
(fma.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) b) (/.f64 #s(literal 1 binary64) b) (*.f64 c a)) |
(fma.f64 (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)) c (*.f64 c a)) |
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(pow.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 c (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a)) (/.f64 #s(literal -2 binary64) b)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 c (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a)) (/.f64 #s(literal -2 binary64) b)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 c (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a)) (/.f64 #s(literal -2 binary64) b))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 c (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a)) (/.f64 #s(literal -2 binary64) b))) (*.f64 a #s(literal 2 binary64)))) |
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(*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 c (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a)) (/.f64 #s(literal -2 binary64) b))) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (neg.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 c (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a)) (/.f64 #s(literal -2 binary64) b)))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 c (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a)) (/.f64 #s(literal -2 binary64) b))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 c (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a)) (/.f64 #s(literal -2 binary64) b)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 c (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a)) (/.f64 #s(literal -2 binary64) b)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 c (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a)) (/.f64 #s(literal -2 binary64) b))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 c (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a)) (/.f64 #s(literal -2 binary64) b))) |
(exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 (*.f64 c (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a)) #s(literal -2 binary64)))) #s(literal -1 binary64))) |
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(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a))) b)) |
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(/.f64 (*.f64 (*.f64 c (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a)) #s(literal -2 binary64)) b) |
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(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a))) (neg.f64 b)) |
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(*.f64 (/.f64 (*.f64 c (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a)) b) #s(literal -2 binary64)) |
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(pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal -1 binary64)) |
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(+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) (fma.f64 b b (*.f64 a (*.f64 c #s(literal 4 binary64)))))) (neg.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 a (*.f64 c #s(literal 4 binary64))))) (*.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 4 binary64)))) (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) #s(literal 16 binary64)))) (*.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 4 binary64)))) (fma.f64 b b (*.f64 a (*.f64 c #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a (*.f64 c #s(literal 4 binary64))) (fma.f64 b b (*.f64 a (*.f64 c #s(literal 4 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (fma.f64 (*.f64 a (*.f64 c #s(literal 4 binary64))) (fma.f64 b b (*.f64 a (*.f64 c #s(literal 4 binary64)))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))))) (*.f64 (fma.f64 (*.f64 a (*.f64 c #s(literal 4 binary64))) (fma.f64 b b (*.f64 a (*.f64 c #s(literal 4 binary64)))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 a (*.f64 c #s(literal 4 binary64))) (fma.f64 b b (*.f64 a (*.f64 c #s(literal 4 binary64)))) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(pow.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal -2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (fma.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 c a)) #s(literal 64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 4 binary64)))) (*.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) (fma.f64 b b (*.f64 a (*.f64 c #s(literal 4 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 c #s(literal 4 binary64))) (fma.f64 b b (*.f64 a (*.f64 c #s(literal 4 binary64)))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 c a)) #s(literal 64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(*.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 c a)) #s(literal 64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 c a)) #s(literal 64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 c #s(literal 4 binary64))) (fma.f64 b b (*.f64 a (*.f64 c #s(literal 4 binary64)))) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(*.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) (fma.f64 b b (*.f64 a (*.f64 c #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 c #s(literal 4 binary64)))))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 c a)) #s(literal 64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 c a)) #s(literal 64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 c #s(literal 4 binary64))) (fma.f64 b b (*.f64 a (*.f64 c #s(literal 4 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) (fma.f64 b b (*.f64 a (*.f64 c #s(literal 4 binary64))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 c #s(literal 4 binary64))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 c a)) #s(literal 64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) (fma.f64 b b (*.f64 a (*.f64 c #s(literal 4 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 c #s(literal 4 binary64)))))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/4 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/4 binary64)) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 a a))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (neg.f64 (*.f64 b b)))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 c (*.f64 c (*.f64 a a)))) (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 a a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 a a)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) b))) |
(/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 a a)))))) |
(/.f64 (neg.f64 (*.f64 c (*.f64 c (*.f64 a a)))) (neg.f64 (*.f64 b b))) |
(/.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) b) b) |
(/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) #s(literal 1 binary64)) (*.f64 b b)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 c (*.f64 c (*.f64 a a))))) (*.f64 b b)) |
(/.f64 (neg.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) b)) (neg.f64 b)) |
(/.f64 (*.f64 (/.f64 c b) (*.f64 c (*.f64 a a))) b) |
(pow.f64 (/.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 a a)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 a a)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) b)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) |
(*.f64 c (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))) |
(*.f64 (*.f64 c (*.f64 a a)) (/.f64 c (*.f64 b b))) |
(*.f64 (*.f64 c (*.f64 c (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (/.f64 c b) (/.f64 (*.f64 c (*.f64 a a)) b)) |
(*.f64 (neg.f64 (*.f64 c (*.f64 c (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 b b)))) |
(*.f64 (/.f64 (*.f64 c (*.f64 a a)) b) (/.f64 c b)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 c (*.f64 c (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 a a)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b))) |
(*.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)) c) |
(*.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b)) |
(*.f64 (pow.f64 (/.f64 b (*.f64 c c)) #s(literal -1 binary64)) (pow.f64 (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) |
(*.f64 c (*.f64 a a)) |
(*.f64 a (*.f64 c a)) |
(*.f64 (*.f64 a a) c) |
(*.f64 (*.f64 c a) a) |
Compiled 58 544 to 5 637 computations (90.4% saved)
34 alts after pruning (33 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 194 | 23 | 2 217 |
| Fresh | 4 | 10 | 14 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 202 | 34 | 2 236 |
| Status | Accuracy | Program |
|---|---|---|
| 19.0% | (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) | |
| 27.3% | (/.f64 (/.f64 (fma.f64 b (*.f64 a #s(literal 2 binary64)) (*.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64))) | |
| 22.9% | (/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) | |
| 19.6% | (/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (*.f64 a a)) | |
| ▶ | 45.2% | (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) |
| 18.6% | (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* b b) (* c (* a -4)))) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a))) (/.f64 #s(literal -1/4 binary64) a)) c))))) (*.f64 #s(literal 2 binary64) a)) | |
| 29.6% | (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* b b) (* c (* a -4)))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))) (*.f64 #s(literal 2 binary64) a)) | |
| 32.0% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) | |
| 22.4% | (/.f64 (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 c (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a)) (/.f64 #s(literal -2 binary64) b))) #s(literal 1/2 binary64)) a) | |
| 28.1% | (/.f64 #s(approx (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 11.4% | (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) |
| ▶ | 31.1% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
| 31.2% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a)) | |
| 18.1% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))))) | |
| 23.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) | |
| 31.0% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) | |
| 2.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (neg.f64 b)))) | |
| 35.2% | #s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 c (neg.f64 b))) | |
| 36.8% | #s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) | |
| 2.4% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a))) | |
| 35.5% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))) (neg.f64 (/.f64 b a)))) | |
| 36.6% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (exp.f64 (log.f64 (*.f64 b b)))) (neg.f64 (/.f64 b a)))) | |
| 26.9% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))) | |
| 1.5% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 b (/.f64 a b) (*.f64 (/.f64 (*.f64 b b) c) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 b b) c) (/.f64 a b)))) | |
| ▶ | 36.7% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)) |
| 24.5% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) | |
| 13.5% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (+.f64 #s(literal 0 binary64) (/.f64 b a)))) | |
| 36.6% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) | |
| 36.6% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))) | |
| ✓ | 36.7% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a))) |
| 16.5% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))) | |
| 10.5% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* b (/ c (* b b))) (neg (/ b a))) (/.f64 c b))) | |
| ▶ | 2.6% | #s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 b a)) |
| 2.2% | #s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b))) |
Compiled 1 228 to 733 computations (40.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) |
| ✓ | cost-diff | 0 | #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) |
| ✓ | cost-diff | 0 | (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | cost-diff | 640 | (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | cost-diff | 0 | (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | cost-diff | 0 | (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
| ✓ | cost-diff | 384 | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
| ✓ | cost-diff | 0 | (*.f64 c (/.f64 a b)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 c (/.f64 a b)) b) |
| ✓ | cost-diff | 0 | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)) |
| ✓ | cost-diff | 320 | (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a) |
| ✓ | cost-diff | 0 | (/.f64 b a) |
| ✓ | cost-diff | 0 | #s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 b a)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | cost-diff | 0 | (neg.f64 b) |
| ✓ | cost-diff | 0 | (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) |
| 9 240× | lower-fma.f32 |
| 9 236× | lower-fma.f64 |
| 3 888× | lower-*.f32 |
| 3 868× | lower-*.f64 |
| 2 146× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 525 |
| 0 | 90 | 525 |
| 1 | 163 | 505 |
| 2 | 347 | 491 |
| 3 | 751 | 489 |
| 4 | 1602 | 485 |
| 5 | 4368 | 485 |
| 0 | 8096 | 473 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(neg.f64 b) |
b |
(/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(*.f64 a #s(literal -4 binary64)) |
a |
#s(literal -4 binary64) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 b a)) |
(/.f64 b a) |
b |
a |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)) |
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a) |
(-.f64 (*.f64 c (/.f64 a b)) b) |
(*.f64 c (/.f64 a b)) |
c |
(/.f64 a b) |
a |
b |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
#s(literal 1/2 binary64) |
(/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
a |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
b |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(*.f64 a #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) |
(*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) |
#s(literal -2 binary64) |
#s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b))) |
(/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) |
(fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) |
a |
(*.f64 c (*.f64 b b)) |
c |
(*.f64 b b) |
b |
(*.f64 (*.f64 a (*.f64 c c)) a) |
(*.f64 a (*.f64 c c)) |
(*.f64 c c) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (/.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) a) |
(-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
(neg.f64 b) |
b |
(/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(/.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
c |
(*.f64 a #s(literal -4 binary64)) |
a |
#s(literal -4 binary64) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 b a)) |
(/.f64 b a) |
b |
a |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(-.f64 (*.f64 c (/.f64 a b)) b) |
(-.f64 (/.f64 (*.f64 c a) b) b) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 c a) b) |
c |
(/.f64 a b) |
a |
b |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))) b) (/.f64 #s(literal -1/2 binary64) a)) |
#s(literal 1/2 binary64) |
(/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
a |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
b |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
c |
(*.f64 a #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (*.f64 c (*.f64 a (fma.f64 b b (*.f64 c a)))) (*.f64 b b)))) b)) (*.f64 a #s(literal 2 binary64))) |
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (*.f64 c (*.f64 a (fma.f64 b b (*.f64 c a)))) (*.f64 b b)))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) |
(/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (*.f64 c (*.f64 a (fma.f64 b b (*.f64 c a)))) (*.f64 b b)))) b) |
(*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) |
(*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (*.f64 c (*.f64 a (fma.f64 b b (*.f64 c a)))) (*.f64 b b)))) |
#s(literal -2 binary64) |
#s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b))) |
#s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (*.f64 c (*.f64 a (fma.f64 b b (*.f64 c a)))) (*.f64 b b))) |
(/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) |
(/.f64 (*.f64 c (*.f64 a (fma.f64 b b (*.f64 c a)))) (*.f64 b b)) |
(fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) |
(*.f64 c (*.f64 a (fma.f64 b b (*.f64 c a)))) |
a |
(*.f64 c (*.f64 b b)) |
c |
(*.f64 b b) |
b |
(*.f64 (*.f64 a (*.f64 c c)) a) |
(*.f64 c (*.f64 c (*.f64 a a))) |
(*.f64 a (*.f64 c c)) |
(*.f64 c (*.f64 c a)) |
(*.f64 c c) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 85.0% | (*.f64 c (*.f64 b b)) |
| ✓ | accuracy | 84.6% | (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) |
| ✓ | accuracy | 62.4% | (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) |
| ✓ | accuracy | 35.6% | #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) |
| ✓ | accuracy | 98.0% | (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
| ✓ | accuracy | 93.5% | (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
| ✓ | accuracy | 77.9% | (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | accuracy | 59.6% | (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 c (/.f64 a b)) b) |
| ✓ | accuracy | 95.5% | (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a) |
| ✓ | accuracy | 91.8% | (*.f64 c (/.f64 a b)) |
| ✓ | accuracy | 36.8% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)) |
| ✓ | accuracy | 100.0% | (/.f64 b a) |
| ✓ | accuracy | 35.4% | #s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 b a)) |
| ✓ | accuracy | 96.2% | (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | accuracy | 77.2% | (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
| ✓ | accuracy | 59.6% | (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | accuracy | 59.4% | (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| 58.0ms | 77× | 2 | valid |
| 52.0ms | 86× | 0 | valid |
| 43.0ms | 78× | 1 | valid |
| 14.0ms | 15× | 3 | valid |
Compiled 394 to 51 computations (87.1% saved)
ival-mult: 36.0ms (28.6% of total)ival-div: 28.0ms (22.2% of total)adjust: 16.0ms (12.7% of total)ival-add: 16.0ms (12.7% of total)ival-sqrt: 16.0ms (12.7% of total)ival-sub: 11.0ms (8.7% of total)exact: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 b a)) (patch #s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 b a)) #<representation binary64>) () ()) |
#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a) (patch (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)) (patch #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 c (/.f64 a b)) b) (patch (-.f64 (*.f64 c (/.f64 a b)) b) #<representation binary64>) () ()) |
#s(alt (*.f64 c (/.f64 a b)) (patch (*.f64 c (/.f64 a b)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) #<representation binary64>) () ()) |
#s(alt (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ()) |
#s(alt (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ()) |
#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (/ c (pow b 2)) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor -inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) (taylor -inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) (taylor -inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) (taylor -inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor 0 a) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 b) (/ (* a c) b)) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
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#s(alt (* a (+ (* a (pow c 2)) (* (pow b 2) c))) (taylor 0 a) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* a (pow c 2)) (* (pow b 2) c))) (taylor 0 a) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* a (pow c 2)) (* (pow b 2) c))) (taylor 0 a) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (pow c 2)) (taylor inf a) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow a 2) (+ (/ (* (pow b 2) c) a) (pow c 2))) (taylor inf a) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (/ (* (pow b 2) c) a) (pow c 2))) (taylor inf a) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (pow c 2)) (taylor -inf a) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (/ (* (pow b 2) c) a) (pow c 2))) (taylor -inf a) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (/ (* (pow b 2) c) a) (pow c 2))) (taylor -inf a) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (/ (* (pow b 2) c) a) (pow c 2))) (taylor -inf a) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (* (pow b 2) c)) (taylor 0 c) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* a (pow b 2)) (* (pow a 2) c))) (taylor 0 c) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* a (pow b 2)) (* (pow a 2) c))) (taylor 0 c) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* a (pow b 2)) (* (pow a 2) c))) (taylor 0 c) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (pow c 2)) (taylor inf c) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (/ (* a (pow b 2)) c) (pow a 2))) (taylor inf c) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (/ (* a (pow b 2)) c) (pow a 2))) (taylor inf c) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (/ (* a (pow b 2)) c) (pow a 2))) (taylor inf c) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (pow c 2)) (taylor -inf c) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (/ (* a (pow b 2)) c) (pow a 2))) (taylor -inf c) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (/ (* a (pow b 2)) c) (pow a 2))) (taylor -inf c) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (/ (* a (pow b 2)) c) (pow a 2))) (taylor -inf c) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (pow c 2)) (taylor 0 b) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (taylor 0 b) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (taylor 0 b) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (taylor 0 b) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (* (pow b 2) c)) (taylor inf b) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))) (taylor inf b) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))) (taylor inf b) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))) (taylor inf b) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (* (pow b 2) c)) (taylor -inf b) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))) (taylor -inf b) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))) (taylor -inf b) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))) (taylor -inf b) (#s(alt (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (patch (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor 0 b) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) (taylor 0 b) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor inf b) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (/ c (pow b 2)) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor -inf b) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) (taylor -inf b) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) (taylor -inf b) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) (taylor -inf b) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 b) (/ (* a c) b)) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf a) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) (taylor inf a) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) (taylor inf a) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) (taylor inf a) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf a) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf c) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) (taylor inf c) (#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
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#s(alt (- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) (taylor -inf b) (#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) (taylor -inf b) (#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) #<representation binary64>) () ())) ()) |
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#s(alt (- (* 2 (/ (* a c) b)) (* 2 b)) (taylor 0 a) (#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) (taylor 0 a) (#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) (taylor 0 a) (#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) (taylor inf a) (#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 b) (taylor 0 c) (#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ (* a c) b)) (* 2 b)) (taylor 0 c) (#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) (taylor 0 c) (#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) (taylor 0 c) (#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* a c)) (sqrt -4))) (taylor inf c) (#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) (taylor inf c) (#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) (taylor inf c) (#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (taylor inf c) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) (taylor inf c) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) (taylor inf c) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) (taylor inf c) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (taylor -inf c) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) (taylor -inf c) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) (taylor -inf c) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) (taylor -inf c) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* a c) b)) (taylor 0 a) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (taylor inf a) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (taylor -inf a) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (taylor 0 b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 3)) (taylor 0 b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 3)) (taylor 0 b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 3)) (taylor 0 b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* a c) b)) (taylor inf b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* a c) b)) (taylor -inf b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) (taylor -inf b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) (taylor -inf b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) (taylor -inf b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) (patch (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -4 (* a c)) (taylor 0 b) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor inf b) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor -inf b) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor 0 c) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -4 (* a c)) (taylor -inf a) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
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#s(alt (* a (+ c (/ (* a (pow c 2)) (pow b 2)))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ c (/ (* a (pow c 2)) (pow b 2)))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) (taylor inf a) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) (taylor inf a) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) (taylor inf a) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (pow c 2)) (pow b 2)) (taylor -inf a) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor 0 c) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ a (/ (* (pow a 2) c) (pow b 2)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ a (/ (* (pow a 2) c) (pow b 2)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ a (/ (* (pow a 2) c) (pow b 2)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (pow c 2)) (pow b 2)) (taylor inf c) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) (taylor inf c) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) (taylor inf c) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) (taylor inf c) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (pow c 2)) (pow b 2)) (taylor -inf c) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (pow c 2)) (pow b 2)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor inf b) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) (taylor inf b) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) (taylor inf b) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) (taylor inf b) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor -inf b) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) (patch (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor 0 c) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor 0 c) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor 0 c) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor 0 c) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor inf c) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor inf c) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor inf c) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor inf c) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor -inf c) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor -inf c) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor -inf c) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor -inf c) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor 0 b) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor 0 b) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor 0 b) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor 0 b) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor inf b) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor inf b) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor inf b) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor inf b) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor -inf b) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor -inf b) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor -inf b) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor -inf b) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
177 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | -inf | (/ (+ (* a (* c (* b b))) (* (* a (* c c)) a)) (* b b)) |
| 1.0ms | a | @ | inf | (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))) |
| 1.0ms | c | @ | inf | (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))) |
| 1.0ms | c | @ | -inf | (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))) |
| 1.0ms | a | @ | -inf | (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))) |
| 1× | egg-herbie |
| 10 180× | lower-fma.f64 |
| 10 180× | lower-fma.f32 |
| 8 574× | lower-*.f64 |
| 8 574× | lower-*.f32 |
| 5 228× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1045 | 13285 |
| 1 | 3436 | 12952 |
| 0 | 9130 | 12410 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(/ c b) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)) |
(+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(/ c b) |
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) |
(/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ b a) |
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a)))) |
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))) |
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))) |
(/ c b) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))) |
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c)))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 (/ b a))) c))))) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
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(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(/ c b) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (/ b a)) |
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(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
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(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(* -1 (/ b a)) |
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(* b (- (/ c (pow b 2)) (/ 1 a))) |
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(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
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(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
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(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
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(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
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(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
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(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
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(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ b a)) |
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(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 b) |
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(- (/ (* a c) b) b) |
(- (/ (* a c) b) b) |
(/ (* a c) b) |
(* c (+ (* -1 (/ b c)) (/ a b))) |
(* c (+ (* -1 (/ b c)) (/ a b))) |
(* c (+ (* -1 (/ b c)) (/ a b))) |
(/ (* a c) b) |
(* -1 (* c (+ (* -1 (/ a b)) (/ b c)))) |
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(* -1 (* c (+ (* -1 (/ a b)) (/ b c)))) |
(* -1 b) |
(- (/ (* a c) b) b) |
(- (/ (* a c) b) b) |
(- (/ (* a c) b) b) |
(/ (* a c) b) |
(* a (+ (* -1 (/ b a)) (/ c b))) |
(* a (+ (* -1 (/ b a)) (/ c b))) |
(* a (+ (* -1 (/ b a)) (/ c b))) |
(/ (* a c) b) |
(* -1 (* a (+ (* -1 (/ c b)) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ c b)) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ c b)) (/ b a)))) |
(/ (* a c) b) |
(/ (+ (* -1 (pow b 2)) (* a c)) b) |
(/ (+ (* -1 (pow b 2)) (* a c)) b) |
(/ (+ (* -1 (pow b 2)) (* a c)) b) |
(* -1 b) |
(* b (- (/ (* a c) (pow b 2)) 1)) |
(* b (- (/ (* a c) (pow b 2)) 1)) |
(* b (- (/ (* a c) (pow b 2)) 1)) |
(* -1 b) |
(* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2)))))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
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(/ (* a c) b) |
(/ (* a c) b) |
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(/ (* a c) b) |
(/ (* a c) b) |
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(/ (* a c) b) |
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(/ (* a c) b) |
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(/ (* a c) b) |
(/ (* a c) b) |
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(/ (* a c) b) |
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(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ c b) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)) |
(+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(/ c b) |
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) |
(/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ b a) |
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a)))) |
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))) |
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))) |
(/ c b) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))) |
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c)))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 (/ b a))) c))))) |
(* 1/2 (/ b c)) |
(+ (* -1/2 (/ a b)) (* 1/2 (/ b c))) |
(+ (* 1/2 (/ b c)) (* a (- (* -1 (* a (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3))))) (* 1/2 (/ 1 b))))) |
(+ (* 1/2 (/ b c)) (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))))))) (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3))))) (* 1/2 (/ 1 b))))) |
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2)))) (/ b (* c (pow (sqrt -4) 2)))) |
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))) (/ b (* c (pow (sqrt -4) 2)))))) |
(* 1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* 1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) |
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (- (* -1 (* b (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* c (pow (sqrt -4) 2)))))) |
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4))))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* c (pow (sqrt -4) 2)))))) |
(* 1/2 (/ b c)) |
(* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* b (- (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) c)) (* (pow a 2) c)) (pow b 4))) (* 1/2 (/ 1 c))) (* 1/2 (/ a (pow b 2))))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* (pow a 2) c)) (* (pow a 2) c))))) (+ (* -1 (* (pow a 3) (pow c 2))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))))) (pow b 6))) (* 1/2 (/ 1 c))) (+ (* -1/2 (/ (* (pow a 2) c) (pow b 4))) (+ (* 1/2 (/ a (pow b 2))) (/ (* (pow a 2) c) (pow b 4)))))) |
(* 1/2 (/ a b)) |
(* -1 (/ (+ (* -1/2 a) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1/2 a) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b)) |
(* -1 (/ (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1/2 a) (+ (* -1/2 (/ (* (pow a 2) c) (pow b 2))) (* -1/2 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))) b)) |
(* 1/2 (/ b c)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/2 b)) c) |
(/ (+ (* 1/2 b) (* c (- (* -1 (* c (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))) (* 1/2 (/ a b))))) c) |
(/ (+ (* 1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)))))) (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))) (* 1/2 (/ a b))))) c) |
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c) |
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2)))) (/ b (pow (sqrt -4) 2))) c) |
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow c 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))) (/ b (pow (sqrt -4) 2))))) c) |
(* 1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (sqrt -1))) (* -1/4 b)) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* (pow b 3) c) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- b (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* 2 (/ (* a c) b)) |
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b) |
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(* 2 b) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 2 (/ (* a c) b)) |
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* 2 (/ (* a c) b)) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* a (* (pow b 2) c)) |
(* a (+ (* a (pow c 2)) (* (pow b 2) c))) |
(* a (+ (* a (pow c 2)) (* (pow b 2) c))) |
(* a (+ (* a (pow c 2)) (* (pow b 2) c))) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (+ (/ (* (pow b 2) c) a) (pow c 2))) |
(* (pow a 2) (+ (/ (* (pow b 2) c) a) (pow c 2))) |
(* (pow a 2) (+ (/ (* (pow b 2) c) a) (pow c 2))) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (+ (/ (* (pow b 2) c) a) (pow c 2))) |
(* (pow a 2) (+ (/ (* (pow b 2) c) a) (pow c 2))) |
(* (pow a 2) (+ (/ (* (pow b 2) c) a) (pow c 2))) |
(* a (* (pow b 2) c)) |
(* c (+ (* a (pow b 2)) (* (pow a 2) c))) |
(* c (+ (* a (pow b 2)) (* (pow a 2) c))) |
(* c (+ (* a (pow b 2)) (* (pow a 2) c))) |
(* (pow a 2) (pow c 2)) |
(* (pow c 2) (+ (/ (* a (pow b 2)) c) (pow a 2))) |
(* (pow c 2) (+ (/ (* a (pow b 2)) c) (pow a 2))) |
(* (pow c 2) (+ (/ (* a (pow b 2)) c) (pow a 2))) |
(* (pow a 2) (pow c 2)) |
(* (pow c 2) (+ (/ (* a (pow b 2)) c) (pow a 2))) |
(* (pow c 2) (+ (/ (* a (pow b 2)) c) (pow a 2))) |
(* (pow c 2) (+ (/ (* a (pow b 2)) c) (pow a 2))) |
(* (pow a 2) (pow c 2)) |
(+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) |
(+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) |
(+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) |
(* a (* (pow b 2) c)) |
(* (pow b 2) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))) |
(* (pow b 2) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))) |
(* (pow b 2) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))) |
(* a (* (pow b 2) c)) |
(* (pow b 2) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))) |
(* (pow b 2) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))) |
(* (pow b 2) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) |
(* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) |
(* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) |
(* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) |
(* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -4 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -4 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* a c) |
(* a (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(* a (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(* a (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* a c) |
(* c (+ a (/ (* (pow a 2) c) (pow b 2)))) |
(* c (+ a (/ (* (pow a 2) c) (pow b 2)))) |
(* c (+ a (/ (* (pow a 2) c) (pow b 2)))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2)) |
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2)) |
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2)) |
(* a c) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* a c) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
| Outputs |
|---|
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(fma.f64 b (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(*.f64 b (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(*.f64 b (+.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) a)))) |
(* -1 (/ c b)) |
(/.f64 c (neg.f64 b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (neg.f64 b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) c)) (neg.f64 b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64)) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) c))) (neg.f64 b)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(fma.f64 c (fma.f64 a (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) (/.f64 b (neg.f64 a))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(fma.f64 c (fma.f64 c (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) b)) (/.f64 b (neg.f64 a))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(*.f64 (*.f64 c #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a)))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(*.f64 c (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a) a))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(*.f64 c (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a) a))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(*.f64 (-.f64 (/.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 c a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)) c))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (/.f64 (fma.f64 #s(literal 1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))))) c)) c))) (neg.f64 c)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/.f64 (fma.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)) (neg.f64 b)) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))) (/.f64 c b)) (neg.f64 b)) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) (*.f64 b #s(literal 1/2 binary64))) a)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) a)) a)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(-.f64 (neg.f64 b) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(-.f64 (*.f64 b (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(-.f64 (*.f64 b (fma.f64 b (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a) a))) (*.f64 b b)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(*.f64 b (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 c (*.f64 b b)) #s(literal -2 binary64))) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 b (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 2 binary64)))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 b (+.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))))))) |
(* -2 (/ (* a c) b)) |
(*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c))) b) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a) a) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)))) (neg.f64 b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a) a)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 b)) |
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 c a) b) b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 c (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 a b))) (*.f64 b #s(literal -2 binary64))) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
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(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
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(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
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(* -2 b) |
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(- (* 2 (/ (* a c) b)) (* 2 b)) |
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(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
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(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
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(* -1 (* (sqrt (* a c)) (sqrt -4))) |
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(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
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(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
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(neg.f64 b) |
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(neg.f64 b) |
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(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
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(neg.f64 b) |
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(neg.f64 b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
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(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a) a))) (*.f64 b b)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
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b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(fma.f64 (*.f64 b #s(literal -2 binary64)) (/.f64 (*.f64 c a) (*.f64 b b)) b) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(fma.f64 (*.f64 b #s(literal -2 binary64)) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64)))) b) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(fma.f64 b (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a) a)) (pow.f64 b #s(literal 6 binary64)))) b) |
(* -1 b) |
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(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (neg.f64 b) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(neg.f64 (fma.f64 (*.f64 b #s(literal -2 binary64)) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64)))) b)) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 c (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 a b))) b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 c (fma.f64 c (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -2 binary64) a) b)) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))) (neg.f64 c)) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
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(* 2 (/ (* a c) b)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) b) |
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(* -1 (* (sqrt (* a c)) (sqrt -4))) |
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(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) |
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(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
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b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
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(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
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(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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(* -1 b) |
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(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (neg.f64 b) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
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(*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (+.f64 (/.f64 c (*.f64 a b)) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) |
(* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) |
(*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (+.f64 (/.f64 c (*.f64 a b)) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) |
(* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) |
(*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (+.f64 (/.f64 c (*.f64 a b)) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b (*.f64 b b))) |
(/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (fma.f64 a (*.f64 c c) (*.f64 c (*.f64 b b))))) (*.f64 b (*.f64 b b))) |
(/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (fma.f64 a (*.f64 c c) (*.f64 c (*.f64 b b))))) (*.f64 b (*.f64 b b))) |
(/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (fma.f64 a (*.f64 c c) (*.f64 c (*.f64 b b))))) (*.f64 b (*.f64 b b))) |
(* -2 (/ (* a c) b)) |
(*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c))) b) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c))) b) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c))) b) |
(* -2 (/ (* a c) b)) |
(*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64)) |
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c))) b) |
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c))) b) |
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c))) b) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b) b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b) b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b) b) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b) b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b) b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b) b) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(neg.f64 (*.f64 c (fma.f64 a #s(literal 4 binary64) (/.f64 (*.f64 b (neg.f64 b)) c)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(neg.f64 (*.f64 c (fma.f64 a #s(literal 4 binary64) (/.f64 (*.f64 b (neg.f64 b)) c)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(neg.f64 (*.f64 c (fma.f64 a #s(literal 4 binary64) (/.f64 (*.f64 b (neg.f64 b)) c)))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(neg.f64 (*.f64 a (fma.f64 c #s(literal 4 binary64) (/.f64 (*.f64 b (neg.f64 b)) a)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(neg.f64 (*.f64 a (fma.f64 c #s(literal 4 binary64) (/.f64 (*.f64 b (neg.f64 b)) a)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(neg.f64 (*.f64 a (fma.f64 c #s(literal 4 binary64) (/.f64 (*.f64 b (neg.f64 b)) a)))) |
(* a c) |
(*.f64 c a) |
(* a (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) |
(* a (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) |
(* a (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(*.f64 (*.f64 a a) (+.f64 (/.f64 c a) (/.f64 (*.f64 c c) (*.f64 b b)))) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(*.f64 (*.f64 a a) (+.f64 (/.f64 c a) (/.f64 (*.f64 c c) (*.f64 b b)))) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(*.f64 (*.f64 a a) (+.f64 (/.f64 c a) (/.f64 (*.f64 c c) (*.f64 b b)))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(*.f64 (*.f64 a a) (+.f64 (/.f64 c a) (/.f64 (*.f64 c c) (*.f64 b b)))) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(*.f64 (*.f64 a a) (+.f64 (/.f64 c a) (/.f64 (*.f64 c c) (*.f64 b b)))) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(*.f64 (*.f64 a a) (+.f64 (/.f64 c a) (/.f64 (*.f64 c c) (*.f64 b b)))) |
(* a c) |
(*.f64 c a) |
(* c (+ a (/ (* (pow a 2) c) (pow b 2)))) |
(*.f64 c (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a)) |
(* c (+ a (/ (* (pow a 2) c) (pow b 2)))) |
(*.f64 c (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a)) |
(* c (+ a (/ (* (pow a 2) c) (pow b 2)))) |
(*.f64 c (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(*.f64 (*.f64 c c) (+.f64 (/.f64 a c) (/.f64 (*.f64 a a) (*.f64 b b)))) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(*.f64 (*.f64 c c) (+.f64 (/.f64 a c) (/.f64 (*.f64 a a) (*.f64 b b)))) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(*.f64 (*.f64 c c) (+.f64 (/.f64 a c) (/.f64 (*.f64 a a) (*.f64 b b)))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(*.f64 (*.f64 c c) (+.f64 (/.f64 a c) (/.f64 (*.f64 a a) (*.f64 b b)))) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(*.f64 (*.f64 c c) (+.f64 (/.f64 a c) (/.f64 (*.f64 a a) (*.f64 b b)))) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(*.f64 (*.f64 c c) (+.f64 (/.f64 a c) (/.f64 (*.f64 a a) (*.f64 b b)))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) |
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2)) |
(/.f64 (*.f64 a (fma.f64 a (*.f64 c c) (*.f64 c (*.f64 b b)))) (*.f64 b b)) |
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2)) |
(/.f64 (*.f64 a (fma.f64 a (*.f64 c c) (*.f64 c (*.f64 b b)))) (*.f64 b b)) |
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2)) |
(/.f64 (*.f64 a (fma.f64 a (*.f64 c c) (*.f64 c (*.f64 b b)))) (*.f64 b b)) |
(* a c) |
(*.f64 c a) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) |
(* a c) |
(*.f64 c a) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
| 1× | batch-egg-rewrite |
| 4 738× | lower-*.f32 |
| 4 718× | lower-*.f64 |
| 4 362× | lower-/.f32 |
| 4 342× | lower-/.f64 |
| 4 132× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 375 |
| 0 | 91 | 384 |
| 1 | 333 | 359 |
| 2 | 2671 | 321 |
| 0 | 9364 | 318 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(neg.f64 b) |
(/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 b a)) |
(/.f64 b a) |
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)) |
(-.f64 (*.f64 c (/.f64 a b)) b) |
(*.f64 c (/.f64 a b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)) |
(*.f64 c (*.f64 b b)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal 2 binary64))))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal 2 binary64))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal 2 binary64))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal 2 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (neg.f64 (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
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(/.f64 (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c)))) (*.f64 b b)) |
(/.f64 (neg.f64 (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c))))) (neg.f64 (*.f64 b b))) |
(/.f64 (fma.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 a a) (*.f64 (*.f64 c (*.f64 c a)) (*.f64 c (*.f64 c a)))) (*.f64 (*.f64 c (*.f64 a (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (*.f64 b b) (fma.f64 a (*.f64 (*.f64 b (*.f64 b c)) (*.f64 c (*.f64 a (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) (-.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 c (*.f64 a (*.f64 b b)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c)))) b))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c))))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (/.f64 (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c)))) b)))) |
(/.f64 (*.f64 (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c)))) (*.f64 a (-.f64 (*.f64 b (*.f64 b c)) (*.f64 c (*.f64 c a))))) (*.f64 (*.f64 b b) (*.f64 a (-.f64 (*.f64 b (*.f64 b c)) (*.f64 c (*.f64 c a)))))) |
(/.f64 (/.f64 (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c)))) b) b) |
(/.f64 (*.f64 (fma.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 a a) (*.f64 (*.f64 c (*.f64 c a)) (*.f64 c (*.f64 c a)))) (*.f64 (*.f64 c (*.f64 a (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 a (*.f64 (*.f64 b (*.f64 b c)) (*.f64 c (*.f64 a (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) (-.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 c (*.f64 a (*.f64 b b)))))) (*.f64 b b))) |
(/.f64 (*.f64 (*.f64 (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c)))) (*.f64 a (-.f64 (*.f64 b (*.f64 b c)) (*.f64 c (*.f64 c a))))) #s(literal 1 binary64)) (*.f64 (*.f64 a (-.f64 (*.f64 b (*.f64 b c)) (*.f64 c (*.f64 c a)))) (*.f64 b b))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c)))))) (*.f64 b b)) |
(/.f64 (neg.f64 (/.f64 (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c)))) b)) (neg.f64 b)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 a a) (*.f64 (*.f64 c (*.f64 c a)) (*.f64 c (*.f64 c a)))) (*.f64 (*.f64 c (*.f64 a (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (*.f64 (*.f64 b b) (fma.f64 a (*.f64 (*.f64 b (*.f64 b c)) (*.f64 c (*.f64 a (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) (-.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 c (*.f64 a (*.f64 b b))))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c)))) (*.f64 a (-.f64 (*.f64 b (*.f64 b c)) (*.f64 c (*.f64 c a)))))) (neg.f64 (*.f64 (*.f64 b b) (*.f64 a (-.f64 (*.f64 b (*.f64 b c)) (*.f64 c (*.f64 c a))))))) |
(/.f64 (*.f64 (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c)))) #s(literal 1 binary64)) (*.f64 b b)) |
(/.f64 (*.f64 (fma.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 a a) (*.f64 (*.f64 c (*.f64 c a)) (*.f64 c (*.f64 c a)))) (*.f64 (*.f64 c (*.f64 a (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (fma.f64 a (*.f64 (*.f64 b (*.f64 b c)) (*.f64 c (*.f64 a (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) (-.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 c (*.f64 a (*.f64 b b))))))) |
(/.f64 (*.f64 (*.f64 (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c)))) (*.f64 a (-.f64 (*.f64 b (*.f64 b c)) (*.f64 c (*.f64 c a))))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (*.f64 a (-.f64 (*.f64 b (*.f64 b c)) (*.f64 c (*.f64 c a))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 a a) (*.f64 (*.f64 c (*.f64 c a)) (*.f64 c (*.f64 c a)))) (*.f64 (*.f64 c (*.f64 a (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 a (*.f64 (*.f64 b (*.f64 b c)) (*.f64 c (*.f64 a (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) (-.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 c (*.f64 a (*.f64 b b)))))) (*.f64 b b)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c)))) (*.f64 a (-.f64 (*.f64 b (*.f64 b c)) (*.f64 c (*.f64 c a))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 a (-.f64 (*.f64 b (*.f64 b c)) (*.f64 c (*.f64 c a)))) (*.f64 b b)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c))))))) (neg.f64 (*.f64 b b))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c)))) b))) (neg.f64 (neg.f64 b))) |
(/.f64 (neg.f64 (*.f64 (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c)))) #s(literal 1 binary64))) (neg.f64 (*.f64 b b))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 a a) (*.f64 (*.f64 c (*.f64 c a)) (*.f64 c (*.f64 c a)))) (*.f64 (*.f64 c (*.f64 a (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) (neg.f64 (fma.f64 a (*.f64 (*.f64 b (*.f64 b c)) (*.f64 c (*.f64 a (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) (-.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 c (*.f64 a (*.f64 b b)))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c)))) (*.f64 a (-.f64 (*.f64 b (*.f64 b c)) (*.f64 c (*.f64 c a))))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) (neg.f64 (*.f64 a (-.f64 (*.f64 b (*.f64 b c)) (*.f64 c (*.f64 c a)))))) |
(pow.f64 (/.f64 (*.f64 b b) (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (/.f64 (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c)))) b)) #s(literal -1 binary64)) |
(*.f64 (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c)))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (neg.f64 (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c))))) (/.f64 #s(literal -1 binary64) (*.f64 b b))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c)))) (*.f64 b b))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c)))) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c)))) b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (pow.f64 (/.f64 (*.f64 b b) (fma.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 a a) (*.f64 (*.f64 c (*.f64 c a)) (*.f64 c (*.f64 c a)))) (*.f64 (*.f64 c (*.f64 a (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 (*.f64 b (*.f64 b c)) (*.f64 c (*.f64 a (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) (-.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 c (*.f64 a (*.f64 b b)))))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c)))) (*.f64 a (-.f64 (*.f64 b (*.f64 b c)) (*.f64 c (*.f64 c a)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (*.f64 b (*.f64 b c)) (*.f64 c (*.f64 c a)))))) |
(*.f64 b (*.f64 b c)) |
(*.f64 c (*.f64 b b)) |
(*.f64 (*.f64 b b) c) |
(*.f64 (*.f64 b c) b) |
Compiled 63 203 to 5 422 computations (91.4% saved)
38 alts after pruning (35 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 947 | 16 | 1 963 |
| Fresh | 9 | 19 | 28 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 959 | 38 | 1 997 |
| Status | Accuracy | Program |
|---|---|---|
| 27.3% | (/.f64 (/.f64 (fma.f64 b (*.f64 a #s(literal 2 binary64)) (*.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64))) | |
| 19.6% | (/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (*.f64 a a)) | |
| ▶ | 28.2% | (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) |
| 18.6% | (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* b b) (* c (* a -4)))) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a))) (/.f64 #s(literal -1/4 binary64) a)) c))))) (*.f64 #s(literal 2 binary64) a)) | |
| 29.6% | (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* b b) (* c (* a -4)))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 32.0% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) |
| 22.4% | (/.f64 (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 c (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a)) (/.f64 #s(literal -2 binary64) b))) #s(literal 1/2 binary64)) a) | |
| 28.1% | (/.f64 #s(approx (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) | |
| 13.9% | (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (*.f64 a (fma.f64 b (*.f64 b c) (*.f64 c (*.f64 c a)))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 18.6% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b) b)))))) | |
| 23.6% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) | |
| 31.2% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a)) | |
| 10.5% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))) | |
| 18.1% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))))) | |
| 23.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) | |
| 31.0% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) | |
| 35.2% | #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b))) | |
| ▶ | 36.8% | #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
| 35.5% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))) (neg.f64 (/.f64 b a)))) | |
| 36.6% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (exp.f64 (log.f64 (*.f64 b b)))) (neg.f64 (/.f64 b a)))) | |
| 26.9% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))) | |
| ▶ | 35.2% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) b) (neg.f64 b)) a)) |
| 1.5% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 b (/.f64 a b) (*.f64 (/.f64 (*.f64 b b) c) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 b b) c) (/.f64 a b)))) | |
| 36.7% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (/.f64 c (/.f64 b a)) b) a)) | |
| ✓ | 36.7% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)) |
| 24.5% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) | |
| 13.5% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (+.f64 #s(literal 0 binary64) (/.f64 b a)))) | |
| 36.5% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(approx (- (* c (/ a b)) b) (*.f64 b (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) a)) | |
| 36.6% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) | |
| 36.6% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))) | |
| ✓ | 36.7% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a))) |
| 16.5% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))) | |
| ▶ | 10.5% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (/ (- (* c (/ a b)) b) a) (/.f64 c b))) |
| 2.2% | #s(approx (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))) (*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b))) | |
| 2.2% | #s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a)))) | |
| ✓ | 2.6% | #s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 b a)) |
| 2.6% | #s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 #s(literal 1 binary64) (/.f64 a b))) | |
| 2.6% | #s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
Compiled 1 260 to 766 computations (39.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | cost-diff | 0 | (neg.f64 b) |
| ✓ | cost-diff | 0 | (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | cost-diff | 0 | (neg.f64 b) |
| ✓ | cost-diff | 0 | (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | cost-diff | 0 | (*.f64 c a) |
| ✓ | cost-diff | 0 | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) b) (neg.f64 b)) a)) |
| ✓ | cost-diff | 320 | (fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) b) (neg.f64 b)) |
| ✓ | cost-diff | 320 | (/.f64 (fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) b) (neg.f64 b)) a) |
| ✓ | cost-diff | 0 | (/.f64 c b) |
| ✓ | cost-diff | 0 | #s(approx (/ (- (* c (/ a b)) b) a) (/.f64 c b)) |
| ✓ | cost-diff | 0 | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (/ (- (* c (/ a b)) b) a) (/.f64 c b))) |
| ✓ | cost-diff | 0 | (/.f64 b a) |
| ✓ | cost-diff | 0 | (/.f64 c b) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 c b) (/.f64 b a)) |
| ✓ | cost-diff | 0 | #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
| 6 102× | lower-fma.f32 |
| 6 098× | lower-fma.f64 |
| 3 810× | lower-*.f32 |
| 3 802× | lower-*.f64 |
| 2 282× | lower-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 387 |
| 0 | 75 | 386 |
| 1 | 134 | 373 |
| 2 | 300 | 373 |
| 3 | 767 | 362 |
| 4 | 2258 | 362 |
| 5 | 6171 | 362 |
| 0 | 8425 | 362 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
c |
b |
(/.f64 b a) |
a |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (/ (- (* c (/ a b)) b) a) (/.f64 c b))) |
#s(approx (/ (- (* c (/ a b)) b) a) (/.f64 c b)) |
(/.f64 c b) |
c |
b |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) b) (neg.f64 b)) a)) |
(/.f64 (fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) b) (neg.f64 b)) a) |
(fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) b) (neg.f64 b)) |
(*.f64 c a) |
c |
a |
(/.f64 #s(literal 1 binary64) b) |
#s(literal 1 binary64) |
b |
(neg.f64 b) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(*.f64 a #s(literal -4 binary64)) |
a |
#s(literal -4 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(neg.f64 b) |
b |
(/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(*.f64 a #s(literal -4 binary64)) |
a |
#s(literal -4 binary64) |
(sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
#s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
c |
b |
(/.f64 b a) |
a |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (/ (- (* c (/ a b)) b) a) (/.f64 c b))) |
#s(approx (/ (- (* c (/ a b)) b) a) (/.f64 c b)) |
(/.f64 c b) |
c |
b |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) b) (neg.f64 b)) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(/.f64 (fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) b) (neg.f64 b)) a) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) b) (neg.f64 b)) |
(-.f64 (/.f64 (*.f64 c a) b) b) |
(*.f64 c a) |
c |
a |
(/.f64 #s(literal 1 binary64) b) |
#s(literal 1 binary64) |
b |
(neg.f64 b) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 b (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(*.f64 a #s(literal -4 binary64)) |
a |
#s(literal -4 binary64) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 b (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal -2 binary64))) |
(-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(neg.f64 b) |
b |
(/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(*.f64 a #s(literal -4 binary64)) |
a |
#s(literal -4 binary64) |
(sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
#s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 77.2% | (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
| ✓ | accuracy | 59.6% | (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | accuracy | 59.4% | (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | accuracy | 36.2% | #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
| ✓ | accuracy | 96.2% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | accuracy | 77.2% | (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | accuracy | 59.6% | (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | accuracy | 36.2% | #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
| ✓ | accuracy | 100.0% | (neg.f64 b) |
| ✓ | accuracy | 95.5% | (/.f64 (fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) b) (neg.f64 b)) a) |
| ✓ | accuracy | 93.7% | (fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) b) (neg.f64 b)) |
| ✓ | accuracy | 36.8% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) b) (neg.f64 b)) a)) |
| ✓ | accuracy | 100.0% | (/.f64 c b) |
| ✓ | accuracy | 36.8% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (/ (- (* c (/ a b)) b) a) (/.f64 c b))) |
| ✓ | accuracy | 33.7% | #s(approx (/ (- (* c (/ a b)) b) a) (/.f64 c b)) |
| ✓ | accuracy | 100.0% | (/.f64 c b) |
| ✓ | accuracy | 100.0% | (/.f64 b a) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 c b) (/.f64 b a)) |
| ✓ | accuracy | 36.8% | #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
| 49.0ms | 40× | 2 | valid |
| 47.0ms | 173× | 0 | valid |
| 21.0ms | 38× | 1 | valid |
| 4.0ms | 5× | 3 | valid |
Compiled 310 to 37 computations (88.1% saved)
ival-div: 21.0ms (30.7% of total)ival-mult: 15.0ms (21.9% of total)ival-sqrt: 12.0ms (17.6% of total)ival-sub: 8.0ms (11.7% of total)adjust: 7.0ms (10.2% of total)ival-add: 3.0ms (4.4% of total)ival-neg: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ()) |
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ()) |
#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (/ (- (* c (/ a b)) b) a) (/.f64 c b))) (patch #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (/ (- (* c (/ a b)) b) a) (/.f64 c b))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* c (/ a b)) b) a) (/.f64 c b)) (patch #s(approx (/ (- (* c (/ a b)) b) a) (/.f64 c b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) b) (neg.f64 b)) a) (patch (/.f64 (fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) b) (neg.f64 b)) a) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) b) (neg.f64 b)) (patch (fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) b) (neg.f64 b)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) b) (neg.f64 b)) a)) (patch #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) b) (neg.f64 b)) a)) #<representation binary64>) () ()) |
#s(alt (*.f64 c a) (patch (*.f64 c a) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor 0 b) (#s(alt #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) (taylor 0 b) (#s(alt #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor inf b) (#s(alt #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ()) |
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#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) (taylor inf c) (#s(alt #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) (taylor inf c) (#s(alt #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf c) (#s(alt #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) (taylor -inf c) (#s(alt #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) (taylor -inf c) (#s(alt #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) (taylor -inf c) (#s(alt #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor 0 a) (#s(alt #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 b) (/ (* a c) b)) a) (taylor 0 a) (#s(alt #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) (taylor 0 a) (#s(alt #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) (taylor 0 a) (#s(alt #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf a) (#s(alt #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) (taylor inf a) (#s(alt #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) (taylor inf a) (#s(alt #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) (taylor inf a) (#s(alt #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf a) (#s(alt #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ c b) (/ b a)) (taylor 0 c) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ c b) (/ b a)) (taylor 0 c) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ c b) (/ b a)) (taylor 0 c) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (/ c b) (taylor inf c) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b))) (taylor inf c) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b))) (taylor inf c) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b))) (taylor inf c) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (/ c b) (taylor -inf c) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (- (/ b (* a c)) (/ 1 b)))) (taylor -inf c) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (- (/ b (* a c)) (/ 1 b)))) (taylor -inf c) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (- (/ b (* a c)) (/ 1 b)))) (taylor -inf c) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (/ c b) (taylor 0 b) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ c (* -1 (/ (pow b 2) a))) b) (taylor 0 b) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ c (* -1 (/ (pow b 2) a))) b) (taylor 0 b) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ c (* -1 (/ (pow b 2) a))) b) (taylor 0 b) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor inf b) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (/ c (pow b 2)) (/ 1 a))) (taylor inf b) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (/ c (pow b 2)) (/ 1 a))) (taylor inf b) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (/ c (pow b 2)) (/ 1 a))) (taylor inf b) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor -inf b) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) (taylor -inf b) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
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#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
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#s(alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) (taylor inf b) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor inf b) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 b) (taylor -inf b) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) (taylor -inf c) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) (taylor -inf c) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor 0 a) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 a) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) (taylor 0 a) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) (taylor 0 a) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf a) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
165 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | c | @ | -inf | (/ c b) |
| 0.0ms | a | @ | -inf | (* c a) |
| 0.0ms | c | @ | 0 | (/ c b) |
| 0.0ms | b | @ | -inf | (/ c b) |
| 0.0ms | c | @ | -inf | (* c a) |
| 1× | egg-herbie |
| 11 314× | lower-fma.f64 |
| 11 314× | lower-fma.f32 |
| 7 802× | lower-*.f64 |
| 7 802× | lower-*.f32 |
| 3 018× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 589 | 11245 |
| 1 | 1879 | 11116 |
| 2 | 6318 | 11000 |
| 0 | 8330 | 10507 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ b a)) |
(- (/ c b) (/ b a)) |
(- (/ c b) (/ b a)) |
(- (/ c b) (/ b a)) |
(/ c b) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(/ c b) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(/ c b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (/ b a)) |
(/ (- (/ (* a c) b) b) a) |
(/ (- (/ (* a c) b) b) a) |
(/ (- (/ (* a c) b) b) a) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(/ c b) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(/ c b) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 b) |
(- (/ (* a c) b) b) |
(- (/ (* a c) b) b) |
(- (/ (* a c) b) b) |
(/ (* a c) b) |
(* c (+ (* -1 (/ b c)) (/ a b))) |
(* c (+ (* -1 (/ b c)) (/ a b))) |
(* c (+ (* -1 (/ b c)) (/ a b))) |
(/ (* a c) b) |
(* -1 (* c (+ (* -1 (/ a b)) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ a b)) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ a b)) (/ b c)))) |
(* -1 b) |
(- (/ (* a c) b) b) |
(- (/ (* a c) b) b) |
(- (/ (* a c) b) b) |
(/ (* a c) b) |
(* a (+ (* -1 (/ b a)) (/ c b))) |
(* a (+ (* -1 (/ b a)) (/ c b))) |
(* a (+ (* -1 (/ b a)) (/ c b))) |
(/ (* a c) b) |
(* -1 (* a (+ (* -1 (/ c b)) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ c b)) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ c b)) (/ b a)))) |
(/ (* a c) b) |
(/ (+ (* -1 (pow b 2)) (* a c)) b) |
(/ (+ (* -1 (pow b 2)) (* a c)) b) |
(/ (+ (* -1 (pow b 2)) (* a c)) b) |
(* -1 b) |
(* b (- (/ (* a c) (pow b 2)) 1)) |
(* b (- (/ (* a c) (pow b 2)) 1)) |
(* b (- (/ (* a c) (pow b 2)) 1)) |
(* -1 b) |
(* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2)))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -4 (* a c)) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* -4 (* a c)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* -4 (* a c)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -4 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -4 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
| Outputs |
|---|
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(fma.f64 b (fma.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 c (*.f64 b b))) (/.f64 b (neg.f64 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(fma.f64 b (fma.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c (*.f64 b b)))) (/.f64 b (neg.f64 a))) |
(* -1 (/ c b)) |
(/.f64 c (neg.f64 b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 c (*.f64 c (*.f64 a a)))) (*.f64 (*.f64 b b) (*.f64 b b))) c)) (neg.f64 b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 c (*.f64 c (*.f64 a a)))) (*.f64 (*.f64 b b) (*.f64 b b))) c))) (neg.f64 b)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(-.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 c b)) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(fma.f64 (*.f64 c c) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b)))) (-.f64 (/.f64 c b) (/.f64 b a))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(*.f64 (*.f64 c #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a)))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(*.f64 c (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c (*.f64 c (*.f64 a a))))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a)))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(*.f64 c (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a))) (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c (*.f64 c (*.f64 a a)))))))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(*.f64 (-.f64 (*.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) c))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (fma.f64 #s(literal 1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))))) c)) c))) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/.f64 (fma.f64 a (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 c b)) (neg.f64 b)) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 c (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 c (*.f64 c a)))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 c b)) (neg.f64 b)) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)) (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 b #s(literal 1/2 binary64))) (neg.f64 a))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/128 binary64)))) a)) a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(- (/ c b) (/ b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(- (/ c b) (/ b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(- (/ c b) (/ b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/ c b) |
(/.f64 c b) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(-.f64 (/.f64 c b) (*.f64 (/.f64 b (*.f64 c a)) c)) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(-.f64 (/.f64 c b) (*.f64 (/.f64 b (*.f64 c a)) c)) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(-.f64 (/.f64 c b) (*.f64 (/.f64 b (*.f64 c a)) c)) |
(/ c b) |
(/.f64 c b) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(*.f64 (+.f64 (/.f64 b (*.f64 c a)) (/.f64 #s(literal -1 binary64) b)) (neg.f64 c)) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(*.f64 (+.f64 (/.f64 b (*.f64 c a)) (/.f64 #s(literal -1 binary64) b)) (neg.f64 c)) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(*.f64 (+.f64 (/.f64 b (*.f64 c a)) (/.f64 #s(literal -1 binary64) b)) (neg.f64 c)) |
(/ c b) |
(/.f64 c b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(/ (- (/ (* a c) b) b) a) |
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a) |
(/ (- (/ (* a c) b) b) a) |
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a) |
(/ (- (/ (* a c) b) b) a) |
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a) |
(/ c b) |
(/.f64 c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/ c b) |
(/.f64 c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
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(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)) (neg.f64 c)) |
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(*.f64 c (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (neg.f64 b)) c) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 c (neg.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/64 binary64)))) c) b) c)))) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))) |
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(fma.f64 (*.f64 b b) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c (*.f64 c (*.f64 a a))))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/32 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c (*.f64 c (*.f64 a a))))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 b (fma.f64 (*.f64 c a) (/.f64 #s(literal -2 binary64) (*.f64 b b)) #s(literal 1 binary64))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(fma.f64 (*.f64 b #s(literal -2 binary64)) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b b)))) b) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(fma.f64 b (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))))) b) |
(* -1 b) |
(neg.f64 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(neg.f64 (*.f64 b (fma.f64 (*.f64 c a) (/.f64 #s(literal -2 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(neg.f64 (fma.f64 (*.f64 b #s(literal -2 binary64)) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b b)))) b)) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 c (*.f64 (/.f64 a b) #s(literal -2 binary64)) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 a (*.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 c b)) #s(literal -2 binary64)) b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c (*.f64 c a)))) (pow.f64 b #s(literal 5 binary64))) (*.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 c b)) #s(literal -2 binary64))) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(*.f64 a (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(*.f64 a (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)))))) (neg.f64 a)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 c (*.f64 (/.f64 a b) #s(literal -2 binary64)) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 c (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 a b)) b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 c (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 a b)))) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(*.f64 c (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)) (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (neg.f64 c)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
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(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 a (/.f64 c b)) b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
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(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -4 binary64)))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
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(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
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b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 b (fma.f64 (*.f64 c a) (/.f64 #s(literal -2 binary64) (*.f64 b b)) #s(literal 1 binary64))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
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(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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(* -1 b) |
(neg.f64 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(neg.f64 (*.f64 b (fma.f64 (*.f64 c a) (/.f64 #s(literal -2 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(neg.f64 (fma.f64 (*.f64 b #s(literal -2 binary64)) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b b)))) b)) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 c (*.f64 (/.f64 a b) #s(literal -2 binary64)) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 c (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 a b)) b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 c (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 a b)))) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 c)) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 c (*.f64 (/.f64 a b) #s(literal -2 binary64)) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 a (*.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 c b)) #s(literal -2 binary64)) b) |
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(fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c (*.f64 c a)))) (pow.f64 b #s(literal 5 binary64))) (*.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 c b)) #s(literal -2 binary64))) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(*.f64 a (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(*.f64 a (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)))))) (neg.f64 a)) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(- (pow b 2) (* 4 (* a c))) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(- (pow b 2) (* 4 (* a c))) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(- (pow b 2) (* 4 (* a c))) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64)))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64)))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64)))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64)))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64)))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64)))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64)))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64)))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c (*.f64 c (*.f64 a a))))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/32 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c (*.f64 c (*.f64 a a))))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 b (fma.f64 (*.f64 c a) (/.f64 #s(literal -2 binary64) (*.f64 b b)) #s(literal 1 binary64))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(fma.f64 (*.f64 b #s(literal -2 binary64)) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b b)))) b) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(fma.f64 b (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))))) b) |
(* -1 b) |
(neg.f64 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(neg.f64 (*.f64 b (fma.f64 (*.f64 c a) (/.f64 #s(literal -2 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(neg.f64 (fma.f64 (*.f64 b #s(literal -2 binary64)) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b b)))) b)) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 c (*.f64 (/.f64 a b) #s(literal -2 binary64)) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 c (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 a b)) b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 c (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 a b)))) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(*.f64 c (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)) (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (neg.f64 c)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 c (*.f64 (/.f64 a b) #s(literal -2 binary64)) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 a (*.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 c b)) #s(literal -2 binary64)) b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c (*.f64 c a)))) (pow.f64 b #s(literal 5 binary64))) (*.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 c b)) #s(literal -2 binary64))) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(*.f64 a (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(*.f64 a (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)))))) (neg.f64 a)) |
| 1× | batch-egg-rewrite |
| 4 882× | lower-/.f32 |
| 4 868× | lower-/.f64 |
| 3 834× | lower-fma.f32 |
| 3 830× | lower-fma.f64 |
| 3 578× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 328 |
| 0 | 75 | 324 |
| 1 | 309 | 316 |
| 2 | 2712 | 307 |
| 0 | 8879 | 307 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
(/.f64 b a) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (/ (- (* c (/ a b)) b) a) (/.f64 c b))) |
#s(approx (/ (- (* c (/ a b)) b) a) (/.f64 c b)) |
(/.f64 (fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) b) (neg.f64 b)) a) |
(fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) b) (neg.f64 b)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) b) (neg.f64 b)) a)) |
(*.f64 c a) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(neg.f64 b) |
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
#s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| Outputs |
|---|
#s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(+.f64 (/.f64 c b) (/.f64 b (neg.f64 a))) |
(+.f64 (/.f64 b (neg.f64 a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(-.f64 (/.f64 (*.f64 c a) (*.f64 b a)) (/.f64 (*.f64 b b) (*.f64 b a))) |
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b)))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b))))) |
(-.f64 (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (+.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (/.f64 c b) (/.f64 b a)))) |
(-.f64 (/.f64 (*.f64 c (/.f64 a b)) (*.f64 b (/.f64 a b))) (/.f64 b (*.f64 b (/.f64 a b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b (/.f64 a b))) (/.f64 (-.f64 b (*.f64 c (/.f64 a b))) (*.f64 b (/.f64 a b)))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 a a) (fma.f64 b b (*.f64 c a)))) (*.f64 b (/.f64 a b))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 a a) (fma.f64 b b (*.f64 c a)))) (*.f64 b (/.f64 a b)))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 b b)) (fma.f64 c (/.f64 a b) b)) (*.f64 b (/.f64 a b))) (/.f64 (/.f64 (*.f64 b b) (fma.f64 c (/.f64 a b) b)) (*.f64 b (/.f64 a b)))) |
(-.f64 (/.f64 (fma.f64 c (/.f64 a b) #s(literal 0 binary64)) (*.f64 b (/.f64 a b))) (/.f64 b (*.f64 b (/.f64 a b)))) |
(-.f64 (/.f64 (*.f64 c (neg.f64 a)) (*.f64 b (neg.f64 a))) (/.f64 (*.f64 b (neg.f64 b)) (*.f64 b (neg.f64 a)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b c) a)) (/.f64 (*.f64 (/.f64 b c) b) (*.f64 (/.f64 b c) a))) |
(-.f64 (/.f64 (/.f64 a b) (*.f64 (/.f64 b c) (/.f64 a b))) (/.f64 (*.f64 (/.f64 b c) #s(literal 1 binary64)) (*.f64 (/.f64 b c) (/.f64 a b)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 (/.f64 b c) (neg.f64 a))) (/.f64 (*.f64 (/.f64 b c) (neg.f64 b)) (*.f64 (/.f64 b c) (neg.f64 a)))) |
(-.f64 (/.f64 (*.f64 (neg.f64 c) a) (*.f64 (neg.f64 b) a)) (/.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 b) a))) |
(-.f64 (/.f64 (*.f64 (neg.f64 c) (/.f64 a b)) (*.f64 (neg.f64 b) (/.f64 a b))) (/.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) (*.f64 (neg.f64 b) (/.f64 a b)))) |
(-.f64 (/.f64 (*.f64 (neg.f64 c) (neg.f64 a)) (*.f64 (neg.f64 b) (neg.f64 a))) (/.f64 (*.f64 b b) (*.f64 (neg.f64 b) (neg.f64 a)))) |
(-.f64 (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (-.f64 (/.f64 c b) (/.f64 b (neg.f64 a)))) (/.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (/.f64 c b) (/.f64 b (neg.f64 a))))) |
(fma.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 c b)) |
(fma.f64 c (/.f64 #s(literal 1 binary64) b) (/.f64 b (neg.f64 a))) |
(fma.f64 (/.f64 c b) #s(literal 1 binary64) (/.f64 b (neg.f64 a))) |
(fma.f64 #s(literal 1 binary64) (/.f64 c b) (/.f64 b (neg.f64 a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) b) c (/.f64 b (neg.f64 a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)) (/.f64 b (neg.f64 a))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a) (/.f64 c b)) |
(fma.f64 #s(literal -1 binary64) (/.f64 b a) (/.f64 c b)) |
(fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b (neg.f64 a))) |
(fma.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 b (neg.f64 a))) |
(fma.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 c #s(literal -1 binary64)) (/.f64 b (neg.f64 a))) |
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 c b)) |
(fma.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b) (/.f64 b (neg.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (-.f64 (*.f64 c a) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b))) (+.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 c b) (/.f64 b a)) (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a))))) |
(/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) (*.f64 b (/.f64 a b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b a) (-.f64 (*.f64 c a) (*.f64 b b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b))) (+.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 c b) (/.f64 b a)) (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a)))))) |
(/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (*.f64 b a)) |
(/.f64 (neg.f64 (fma.f64 c (/.f64 a b) (neg.f64 b))) (neg.f64 (*.f64 b (/.f64 a b)))) |
(/.f64 (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (/.f64 c b) (/.f64 b a))) |
(/.f64 (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b (neg.f64 a)))) |
(/.f64 (-.f64 (*.f64 c (neg.f64 a)) (*.f64 b (neg.f64 b))) (*.f64 b (neg.f64 a))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)) |
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) #s(literal 1 binary64))) (*.f64 (/.f64 b c) (/.f64 a b))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 (/.f64 b c) (neg.f64 b))) (*.f64 (/.f64 b c) (neg.f64 a))) |
(/.f64 (-.f64 (*.f64 (neg.f64 c) a) (*.f64 (neg.f64 b) b)) (*.f64 (neg.f64 b) a)) |
(/.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a b)) (*.f64 (neg.f64 b) #s(literal 1 binary64))) (*.f64 (neg.f64 b) (/.f64 a b))) |
(/.f64 (-.f64 (*.f64 (neg.f64 c) (neg.f64 a)) (*.f64 b b)) (*.f64 (neg.f64 b) (neg.f64 a))) |
(/.f64 (neg.f64 (-.f64 (*.f64 c a) (*.f64 b b))) (neg.f64 (*.f64 b a))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (neg.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (/.f64 c b) (/.f64 b (neg.f64 a))))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (+.f64 (/.f64 c b) (/.f64 b a)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (-.f64 (/.f64 c b) (/.f64 b (neg.f64 a))))) |
(/.f64 (+.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b)))) |
(/.f64 (+.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (+.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (/.f64 c b) (/.f64 b (neg.f64 a)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a) |
(/.f64 (neg.f64 (-.f64 (*.f64 c (neg.f64 a)) (*.f64 b (neg.f64 b)))) (neg.f64 (*.f64 b (neg.f64 a)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b c) b))) (neg.f64 (*.f64 (/.f64 b c) a))) |
(/.f64 (neg.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 b c) (/.f64 a b)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 (/.f64 b c) (neg.f64 b)))) (neg.f64 (*.f64 (/.f64 b c) (neg.f64 a)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 c) a) (*.f64 (neg.f64 b) b))) (neg.f64 (*.f64 (neg.f64 b) a))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a b)) (*.f64 (neg.f64 b) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 b) (/.f64 a b)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 c) (neg.f64 a)) (*.f64 b b))) (neg.f64 (*.f64 (neg.f64 b) (neg.f64 a)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 c a) (*.f64 b b)))) (neg.f64 (neg.f64 (*.f64 b a)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a))))) (neg.f64 (neg.f64 (+.f64 (/.f64 c b) (/.f64 b a))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b)) (neg.f64 a)) |
(pow.f64 (/.f64 (*.f64 b a) (-.f64 (*.f64 c a) (*.f64 b b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b))) (+.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (/.f64 c b) (/.f64 b a)) (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) b)) (/.f64 (*.f64 b b) (+.f64 #s(literal 0 binary64) b))) |
(neg.f64 b) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a)))))) (neg.f64 (*.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) (neg.f64 (*.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (neg.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) |
(pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(*.f64 (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) |
(*.f64 (neg.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a))))) (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))) (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a))))) (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))))) |
(*.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) |
(*.f64 (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))) (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1/4 binary64)))) |
(exp.f64 (log.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal 1/2 binary64))) |
(fabs.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
(sqrt.f64 (*.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(*.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(exp.f64 (log.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal 1/2 binary64))) |
(fabs.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
(sqrt.f64 (*.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(*.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(fabs.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
(pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
Compiled 35 944 to 2 496 computations (93.1% saved)
38 alts after pruning (31 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 383 | 7 | 1 390 |
| Fresh | 6 | 24 | 30 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 390 | 38 | 1 428 |
| Status | Accuracy | Program |
|---|---|---|
| 27.3% | (/.f64 (/.f64 (fma.f64 b (*.f64 a #s(literal 2 binary64)) (*.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64))) | |
| 26.2% | (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) | |
| ✓ | 28.2% | (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) |
| 18.6% | (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* b b) (* c (* a -4)))) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a))) (/.f64 #s(literal -1/4 binary64) a)) c))))) (*.f64 #s(literal 2 binary64) a)) | |
| 29.6% | (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* b b) (* c (* a -4)))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))) (*.f64 #s(literal 2 binary64) a)) | |
| ✓ | 32.0% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) |
| 30.5% | (/.f64 (-.f64 (neg.f64 b) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (*.f64 #s(literal 2 binary64) a)) | |
| 31.0% | (/.f64 (*.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) | |
| 22.4% | (/.f64 (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 c (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a)) (/.f64 #s(literal -2 binary64) b))) #s(literal 1/2 binary64)) a) | |
| 24.4% | (/.f64 #s(approx (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b b)) (*.f64 c a))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 28.1% | (/.f64 #s(approx (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) | |
| 23.6% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) | |
| 31.2% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a)) | |
| 23.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) | |
| 35.2% | #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b))) | |
| ✓ | 36.8% | #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
| 26.1% | #s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (*.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))) | |
| 35.5% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))) (neg.f64 (/.f64 b a)))) | |
| 36.6% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (exp.f64 (log.f64 (*.f64 b b)))) (neg.f64 (/.f64 b a)))) | |
| 26.9% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))) | |
| 1.5% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 b (/.f64 a b) (*.f64 (/.f64 (*.f64 b b) c) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 b b) c) (/.f64 a b)))) | |
| 36.7% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (/.f64 c (/.f64 b a)) b) a)) | |
| ✓ | 36.7% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)) |
| 24.5% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) | |
| 13.5% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (+.f64 #s(literal 0 binary64) (/.f64 b a)))) | |
| 36.5% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(approx (- (* c (/ a b)) b) (*.f64 b (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) a)) | |
| 36.6% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) | |
| 36.6% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))) | |
| ✓ | 36.7% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a))) |
| 16.5% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))) | |
| 18.4% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 a (fma.f64 c (/.f64 a b) (neg.f64 b)))) #s(literal -1 binary64)))) | |
| ✓ | 10.5% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (/ (- (* c (/ a b)) b) a) (/.f64 c b))) |
| 10.5% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (/ (- (* c (/ a b)) b) a) (/.f64 #s(literal 1 binary64) (/.f64 b c)))) | |
| 2.2% | #s(approx (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))) (*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b))) | |
| 2.2% | #s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a)))) | |
| ✓ | 2.6% | #s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 b a)) |
| 2.6% | #s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 #s(literal 1 binary64) (/.f64 a b))) | |
| 2.6% | #s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
Compiled 1 612 to 633 computations (60.7% saved)
| Inputs |
|---|
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 b a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* b (/ c (* b b))) (neg (/ b a))) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (/ (- (* c (/ a b)) b) a) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (neg.f64 b)))) |
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (/ (- (* c (/ a b)) b) a) (/.f64 #s(literal 1 binary64) (/.f64 b c)))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a))) |
#s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (*.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) b) (neg.f64 b)) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (/.f64 c (/.f64 b a)) b) a)) |
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b))) |
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a)))) |
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))) (*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b))) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(approx (- (* c (/ a b)) b) (*.f64 b (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (+.f64 #s(literal 0 binary64) (/.f64 b a)))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a)) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* b b) (* c (* a -4)))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 c (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a)) (/.f64 #s(literal -2 binary64) b))) #s(literal 1/2 binary64)) a) |
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (*.f64 a a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b b)) (*.f64 c a))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b) b)))))) |
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (*.f64 a (fma.f64 b (*.f64 b c) (*.f64 c (*.f64 c a)))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (/.f64 (fma.f64 a (*.f64 c (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c c)) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (fma.f64 b (*.f64 a #s(literal 2 binary64)) (*.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 b (/.f64 a b) (*.f64 (/.f64 (*.f64 b b) c) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 b b) c) (/.f64 a b)))) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* b b) (* c (* a -4)))) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a))) (/.f64 #s(literal -1/4 binary64) a)) c))))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 a (fma.f64 c (/.f64 a b) (neg.f64 b)))) #s(literal -1 binary64)))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (exp.f64 (log.f64 (*.f64 b b)))) (neg.f64 (/.f64 b a)))) |
(/.f64 (-.f64 (neg.f64 b) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) |
(/.f64 (-.f64 (neg.f64 b) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))) (neg.f64 (/.f64 b a)))) |
| Outputs |
|---|
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)) |
4 calls:
| 55.0ms | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 28.0ms | a |
| 23.0ms | b |
| 20.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.2% | 1 | a |
| 87.2% | 3 | b |
| 53.2% | 1 | c |
| 75.3% | 5 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
Compiled 32 to 23 computations (28.1% saved)
| Inputs |
|---|
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 b a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* b (/ c (* b b))) (neg (/ b a))) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (/ (- (* c (/ a b)) b) a) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (neg.f64 b)))) |
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (/ (- (* c (/ a b)) b) a) (/.f64 #s(literal 1 binary64) (/.f64 b c)))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a))) |
#s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (*.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) b) (neg.f64 b)) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (/.f64 c (/.f64 b a)) b) a)) |
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b))) |
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a)))) |
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))) (*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b))) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(approx (- (* c (/ a b)) b) (*.f64 b (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (+.f64 #s(literal 0 binary64) (/.f64 b a)))) |
| Outputs |
|---|
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
1 calls:
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.2% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 b a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* b (/ c (* b b))) (neg (/ b a))) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (/ (- (* c (/ a b)) b) a) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (neg.f64 b)))) |
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (/ (- (* c (/ a b)) b) a) (/.f64 #s(literal 1 binary64) (/.f64 b c)))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a))) |
#s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (*.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) b) (neg.f64 b)) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (/.f64 c (/.f64 b a)) b) a)) |
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b))) |
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a)))) |
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))) (*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b))) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(approx (- (* c (/ a b)) b) (*.f64 b (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))) |
| Outputs |
|---|
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
1 calls:
| 10.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.9% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 b a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* b (/ c (* b b))) (neg (/ b a))) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (/ (- (* c (/ a b)) b) a) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (neg.f64 b)))) |
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (/ (- (* c (/ a b)) b) a) (/.f64 #s(literal 1 binary64) (/.f64 b c)))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a))) |
#s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (*.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) b) (neg.f64 b)) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (/.f64 c (/.f64 b a)) b) a)) |
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b))) |
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a)))) |
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))) (*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b))) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(approx (- (* c (/ a b)) b) (*.f64 b (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) a)) |
| Outputs |
|---|
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
2 calls:
| 11.0ms | b |
| 11.0ms | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.6% | 4 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 69.5% | 2 | b |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 b a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* b (/ c (* b b))) (neg (/ b a))) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (/ (- (* c (/ a b)) b) a) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (neg.f64 b)))) |
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (/ (- (* c (/ a b)) b) a) (/.f64 #s(literal 1 binary64) (/.f64 b c)))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) |
| Outputs |
|---|
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a))) |
1 calls:
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.3% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 b a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* b (/ c (* b b))) (neg (/ b a))) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (/ (- (* c (/ a b)) b) a) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a))) |
| Outputs |
|---|
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* b (/ c (* b b))) (neg (/ b a))) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a))) |
4 calls:
| 10.0ms | a |
| 2.0ms | b |
| 2.0ms | c |
| 2.0ms | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.7% | 1 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 36.7% | 1 | c |
| 36.7% | 1 | a |
| 44.2% | 2 | b |
Compiled 32 to 23 computations (28.1% saved)
| Inputs |
|---|
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 b a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* b (/ c (* b b))) (neg (/ b a))) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (/ (- (* c (/ a b)) b) a) (/.f64 c b))) |
| Outputs |
|---|
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* b (/ c (* b b))) (neg (/ b a))) (/.f64 c b))) |
4 calls:
| 4.0ms | a |
| 2.0ms | b |
| 2.0ms | c |
| 2.0ms | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 10.5% | 1 | a |
| 10.5% | 1 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 10.5% | 1 | c |
| 10.5% | 1 | b |
Compiled 32 to 23 computations (28.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 b a)) |
| Outputs |
|---|
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 b a)) |
4 calls:
| 1.0ms | a |
| 1.0ms | b |
| 1.0ms | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 1.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.6% | 1 | b |
| 2.6% | 1 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 2.6% | 1 | c |
| 2.6% | 1 | a |
Compiled 32 to 23 computations (28.1% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 5.632662606305899e+108 | 4.201129079306569e+116 |
| 35.0ms | -4.1152555522371844e-68 | -2.144447157725083e-78 |
| 22.0ms | 146× | 0 | valid |
| 10.0ms | 37× | 1 | valid |
| 5.0ms | 25× | 2 | valid |
| 3.0ms | 38× | 0 | invalid |
Compiled 428 to 299 computations (30.1% saved)
ival-sub: 8.0ms (36.2% of total)ival-mult: 6.0ms (27.2% of total)ival-div: 2.0ms (9.1% of total)adjust: 2.0ms (9.1% of total)ival-sqrt: 2.0ms (9.1% of total)ival-neg: 1.0ms (4.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 5.793354933850085e-18 | 2.8406695952918943e-16 |
| 12.0ms | -4.1152555522371844e-68 | -2.144447157725083e-78 |
| 15.0ms | 151× | 0 | valid |
| 3.0ms | 35× | 0 | invalid |
| 2.0ms | 18× | 1 | valid |
| 1.0ms | 7× | 2 | valid |
Compiled 503 to 350 computations (30.4% saved)
ival-mult: 5.0ms (34.8% of total)ival-div: 4.0ms (27.8% of total)ival-sqrt: 2.0ms (13.9% of total)ival-sub: 2.0ms (13.9% of total)adjust: 1.0ms (7% of total)ival-neg: 1.0ms (7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.793354933850085e-18 | 2.8406695952918943e-16 |
| 1.0ms | -4.1152555522371844e-68 | -2.144447157725083e-78 |
Compiled 486 to 333 computations (31.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 36.0ms | -5.577302955458091e-306 | 2.5611943984039102e-300 |
| 20.0ms | 160× | 0 | valid |
| 8.0ms | 97× | 0 | invalid |
Compiled 233 to 150 computations (35.6% saved)
ival-mult: 6.0ms (45.7% of total)ival-sub: 2.0ms (15.2% of total)ival-div: 2.0ms (15.2% of total)ival-sqrt: 2.0ms (15.2% of total)ival-neg: 1.0ms (7.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | -5.577302955458091e-306 | 2.5611943984039102e-300 |
| 11.0ms | 112× | 0 | valid |
| 4.0ms | 45× | 0 | invalid |
Compiled 203 to 140 computations (31% saved)
ival-mult: 4.0ms (38.1% of total)ival-neg: 3.0ms (28.6% of total)ival-sub: 1.0ms (9.5% of total)ival-div: 1.0ms (9.5% of total)ival-sqrt: 1.0ms (9.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 70.0ms | -4.51862693974395 | -1.9597128910563633e-10 |
| 37.0ms | 47× | 2 | valid |
| 6.0ms | 43× | 1 | valid |
| 5.0ms | 69× | 0 | valid |
| 2.0ms | 31× | 0 | invalid |
| 0.0ms | 1× | 3 | valid |
Compiled 203 to 130 computations (36% saved)
ival-sub: 31.0ms (69.4% of total)ival-mult: 5.0ms (11.2% of total)ival-div: 2.0ms (4.5% of total)adjust: 2.0ms (4.5% of total)ival-sqrt: 2.0ms (4.5% of total)ival-neg: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 50× | +-commutative_binary64 |
| 48× | *-commutative_binary64 |
| 46× | sub-neg_binary64 |
| 34× | neg-sub0_binary64 |
| 34× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 442 |
| 1 | 117 | 442 |
| 2 | 152 | 442 |
| 3 | 190 | 442 |
| 4 | 212 | 442 |
| 5 | 227 | 442 |
| 6 | 233 | 442 |
| 7 | 236 | 442 |
| 8 | 237 | 442 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b #s(literal -3946757204148067/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)))) |
(if (<=.f64 b #s(literal -4328701449710783/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 8048060130728983/1298074214633706907132624082305024 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))) |
(if (<=.f64 b #s(literal -4328701449710783/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 8048060130728983/1298074214633706907132624082305024 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))) |
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -4111295770304747/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))) |
(if (<=.f64 b #s(literal -5902958103587057/36893488147419103232 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* b (/ c (* b b))) (neg (/ b a))) (/.f64 c b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* b (/ c (* b b))) (neg (/ b a))) (/.f64 c b))) |
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 b a)) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -3946757204148067/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)))) |
(if (<=.f64 b #s(literal -3946757204148067/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 a #s(literal 2 binary64))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)))) |
(if (<=.f64 b #s(literal -4328701449710783/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 8048060130728983/1298074214633706907132624082305024 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))) |
(if (<=.f64 b #s(literal -4328701449710783/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 8048060130728983/1298074214633706907132624082305024 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))) |
(if (<=.f64 b #s(literal -4328701449710783/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 8048060130728983/1298074214633706907132624082305024 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))) |
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -4111295770304747/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))) |
(if (<=.f64 b #s(literal -4111295770304747/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))) |
(if (<=.f64 b #s(literal -5902958103587057/36893488147419103232 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* b (/ c (* b b))) (neg (/ b a))) (/.f64 c b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))) |
(if (<=.f64 b #s(literal -5902958103587057/36893488147419103232 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* b (/ c (* b b))) (neg (/ b a))) (/.f64 c b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* b (/ c (* b b))) (neg (/ b a))) (/.f64 c b))) |
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 b a)) |
| 9 868× | lower-fma.f64 |
| 9 868× | lower-fma.f32 |
| 9 538× | lower-fma.f64 |
| 9 538× | lower-fma.f32 |
| 8 552× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1098 | 13911 |
| 1 | 3506 | 13722 |
| 0 | 8913 | 13146 |
| 0 | 14 | 51 |
| 0 | 23 | 51 |
| 1 | 81 | 51 |
| 2 | 591 | 48 |
| 0 | 8093 | 44 |
| 0 | 545 | 3138 |
| 1 | 1718 | 3109 |
| 2 | 5758 | 3070 |
| 0 | 8120 | 2910 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 328 to 165 computations (49.7% saved)
Compiled 588 to 196 computations (66.7% saved)
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