quadm (p42, negative)
Time bar (total: 11.3s)
| 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)
| 508.0ms | 5 583× | 0 | valid |
| 279.0ms | 1 176× | 2 | valid |
| 216.0ms | 1 315× | 1 | valid |
| 99.0ms | 922× | 0 | invalid |
| 82.0ms | 182× | 3 | valid |
ival-mult: 281.0ms (33.3% of total)ival-sub: 160.0ms (18.9% of total)ival-sqrt: 142.0ms (16.8% of total)ival-div: 92.0ms (10.9% of total)adjust: 79.0ms (9.4% of total)ival-neg: 72.0ms (8.5% of total)exact: 9.0ms (1.1% of total)ival-true: 7.0ms (0.8% of total)ival-assert: 4.0ms (0.5% 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 |
|---|---|---|---|---|---|
| 104 | 0 | - | 2 | (2.735208681988394e-146 2.2071588799873035e-306 -3.7375174267483202e-177) | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| 44 | 1 | (-1.8121635563912143e+173 -3.3219627747566745e+285 -2.5414540625486853e-212) | 0 | - | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
| 19 | 0 | - | 3 | (-2.712740849852629e-41 -581643537660.48 1.8295327012111554e-258) | (/.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)) |
| 3 | 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 | 94 | 0 |
| ↳ | (*.f64 b b) | overflow | 80 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | overflow | 23 | |
| ↳ | (*.f64 a c) | overflow | 23 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | overflow | 94 | |
-.f64 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | cancellation | 45 | 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 | 16 | 0 |
| ↳ | (*.f64 b b) | underflow | 47 | |
| ↳ | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | underflow | 25 | |
| ↳ | (*.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 | 8 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) | uflow-rescue | 8 | 0 |
| ↳ | (*.f64 b b) | underflow | 47 | |
| ↳ | (*.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 | 8 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | nan-rescue | 3 | 0 |
| ↳ | (*.f64 b b) | overflow | 80 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | overflow | 23 | |
| ↳ | (*.f64 a c) | overflow | 23 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 117 | 2 |
| - | 21 | 116 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 117 | 0 | 2 |
| - | 21 | 0 | 116 |
| number | freq |
|---|---|
| 0 | 118 |
| 1 | 111 |
| 2 | 26 |
| 3 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 34.0ms | 378× | 0 | valid |
| 18.0ms | 74× | 2 | valid |
| 9.0ms | 54× | 1 | valid |
| 2.0ms | 6× | 3 | valid |
Compiled 184 to 60 computations (67.4% saved)
ival-mult: 13.0ms (33.9% of total)ival-sub: 8.0ms (20.9% of total)ival-sqrt: 6.0ms (15.6% of total)ival-div: 5.0ms (13% of total)adjust: 4.0ms (10.4% of total)ival-neg: 2.0ms (5.2% of total)exact: 1.0ms (2.6% 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 |
|---|---|---|
| ▶ | 56.6% | (/.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 | 99.0% | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
| ✓ | accuracy | 93.7% | (/.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 | 85.0% | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
| ✓ | accuracy | 62.4% | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| 17.0ms | 189× | 0 | valid |
| 8.0ms | 37× | 2 | valid |
| 4.0ms | 27× | 1 | valid |
| 1.0ms | 3× | 3 | valid |
Compiled 72 to 16 computations (77.8% saved)
ival-mult: 6.0ms (32.1% of total)ival-sub: 3.0ms (16.1% of total)ival-div: 3.0ms (16.1% of total)ival-sqrt: 3.0ms (16.1% of total)adjust: 2.0ms (10.7% of total)ival-neg: 1.0ms (5.4% 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 (* -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 (* 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 (* 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 | |
|---|---|---|---|---|
| 1.0ms | a | @ | inf | (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) |
| 1.0ms | a | @ | -inf | (sqrt (- (* b b) (* 4 (* a c)))) |
| 1.0ms | b | @ | 0 | (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) |
| 1.0ms | b | @ | inf | (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) |
| 1.0ms | b | @ | 0 | (- (* b b) (* 4 (* 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)))) |
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(/.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)))) |
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(/.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 (-.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))))))) |
| 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)))))))) |
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(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
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(pow b 2) |
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(pow b 2) |
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(* -1 (* (sqrt (* a c)) (sqrt -4))) |
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(* -1 b) |
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(* -1 b) |
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(* -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 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)) (*.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))))) |
(+ (* (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 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))) (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 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 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 (*.f64 b b) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 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))))) |
(fma.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.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 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 (*.f64 c a) (*.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 -4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 (*.f64 c a) (*.f64 b b))))) b) |
(* -1 b) |
(neg.f64 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(fma.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) (*.f64 b b)) (neg.f64 b)) |
(* -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 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 (*.f64 c a) (*.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 -4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 (*.f64 c a) (*.f64 b b))) #s(literal 1 binary64)))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 c (*.f64 #s(literal -2 binary64) (/.f64 a b)) b) |
(+ 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))))))))) |
Compiled 25 146 to 2 233 computations (91.1% saved)
18 alts after pruning (18 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 647 | 18 | 665 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 648 | 18 | 666 |
| Status | Accuracy | Program |
|---|---|---|
| 26.2% | (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) | |
| ▶ | 22.8% | (/.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)))))))) |
| ▶ | 19.9% | (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a)) |
| 34.3% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) | |
| 40.1% | (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a) | |
| 39.8% | (/.f64 (-.f64 (*.f64 b (/.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.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)))))))) | |
| 48.0% | (/.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)) | |
| 55.8% | (/.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)) | |
| 34.2% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 56.7% | (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
| 26.0% | (/.f64 (*.f64 (fma.f64 b b (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))))))) | |
| 29.3% | (/.f64 c (neg.f64 b)) | |
| ▶ | 34.3% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
| 34.3% | (/.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)) | |
| 40.2% | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 25.4% | (*.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 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) | |
| 56.6% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) | |
| ▶ | 40.1% | (neg.f64 (/.f64 b a)) |
Compiled 722 to 430 computations (40.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
| ✓ | cost-diff | 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)))))))) |
| ✓ | cost-diff | 128 | (*.f64 a #s(literal 2 binary64)) |
| ✓ | cost-diff | 192 | (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | 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 a (*.f64 c #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 2 binary64) a) |
| ✓ | cost-diff | 1408 | (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | cost-diff | 0 | (/.f64 b a) |
| ✓ | cost-diff | 0 | (neg.f64 (/.f64 b a)) |
| ✓ | cost-diff | 0 | (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
| ✓ | 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 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
| 4 832× | lower-*.f32 |
| 4 816× | lower-*.f64 |
| 3 594× | lower-neg.f32 |
| 3 592× | lower-neg.f64 |
| 3 334× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 268 |
| 0 | 50 | 268 |
| 1 | 92 | 268 |
| 2 | 190 | 262 |
| 3 | 507 | 261 |
| 4 | 1105 | 261 |
| 5 | 2638 | 261 |
| 6 | 4364 | 261 |
| 0 | 8795 | 259 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
(+.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)) |
a |
#s(literal -4 binary64) |
(*.f64 a #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(neg.f64 (/.f64 b a)) |
(/.f64 b a) |
b |
a |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) |
(*.f64 a (*.f64 c #s(literal -2 binary64))) |
a |
(*.f64 c #s(literal -2 binary64)) |
c |
#s(literal -2 binary64) |
b |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.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 (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)))))))) |
(fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
b |
(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 (*.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 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))))) |
| Outputs |
|---|
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.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 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)) |
a |
#s(literal -4 binary64) |
(*.f64 a #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(neg.f64 (/.f64 b a)) |
(/.f64 b (neg.f64 a)) |
(/.f64 b a) |
b |
a |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 c (neg.f64 b)) |
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) |
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) |
(*.f64 a (*.f64 c #s(literal -2 binary64))) |
(*.f64 c (*.f64 a #s(literal -2 binary64))) |
a |
(*.f64 c #s(literal -2 binary64)) |
c |
#s(literal -2 binary64) |
b |
(*.f64 #s(literal 2 binary64) a) |
(+.f64 a a) |
#s(literal 2 binary64) |
(/.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 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (/.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 (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 (fma.f64 b (+.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (+.f64 a a))) |
(fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(fma.f64 b (+.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
b |
(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) |
(*.f64 (*.f64 a #s(literal 2 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 #s(literal -4 binary64) (*.f64 c a))))) (+.f64 a a)) |
(*.f64 a #s(literal 2 binary64)) |
(+.f64 a a) |
#s(literal 2 binary64) |
(-.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))))) |
(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)))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.8% | (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
| ✓ | accuracy | 74.7% | (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | accuracy | 74.3% | (/.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)))))))) |
| ✓ | accuracy | 62.4% | (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | accuracy | 98.8% | (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
| ✓ | accuracy | 94.2% | (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
| ✓ | accuracy | 74.7% | (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | accuracy | 62.4% | (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 a (*.f64 c #s(literal -2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) a) |
| ✓ | accuracy | 89.5% | (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) |
| ✓ | accuracy | 83.9% | (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | accuracy | 100.0% | (/.f64 b a) |
| ✓ | accuracy | 100.0% | (neg.f64 (/.f64 b a)) |
| ✓ | accuracy | 98.8% | (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
| ✓ | accuracy | 93.7% | (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
| ✓ | accuracy | 85.0% | (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | accuracy | 62.4% | (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| 37.0ms | 76× | 2 | valid |
| 26.0ms | 73× | 1 | valid |
| 22.0ms | 94× | 0 | valid |
| 11.0ms | 13× | 3 | valid |
Compiled 288 to 31 computations (89.2% saved)
ival-div: 19.0ms (32.1% of total)ival-mult: 16.0ms (27.1% of total)ival-add: 8.0ms (13.5% of total)adjust: 8.0ms (13.5% of total)ival-sqrt: 4.0ms (6.8% of total)ival-sub: 2.0ms (3.4% of total)ival-neg: 1.0ms (1.7% 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 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 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 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 (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 (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) a) (patch (*.f64 #s(literal 2 binary64) a) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (patch (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) #<representation binary64>) () ()) |
#s(alt (*.f64 a (*.f64 c #s(literal -2 binary64))) (patch (*.f64 a (*.f64 c #s(literal -2 binary64))) #<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 (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 a #s(literal 2 binary64)) (patch (*.f64 a #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.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)))))))) (patch (/.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)))))))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor 0 b) (#s(alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) (taylor 0 b) (#s(alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) #<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 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) #<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 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor inf b) (#s(alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (/ c (pow b 2)) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) #<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 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) #<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 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))) c))) (taylor -inf c) (#s(alt (/.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)))))))) (patch (/.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)))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c))) (taylor -inf c) (#s(alt (/.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)))))))) (patch (/.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)))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))))) c))) (taylor -inf c) (#s(alt (/.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)))))))) (patch (/.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)))))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (pow b 3) (* (pow a 2) c))) (taylor 0 a) (#s(alt (/.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)))))))) (patch (/.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)))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 (* a (- (* -2 b) b))) (* 1/2 (/ (pow b 3) c))) (pow a 2)) (taylor 0 a) (#s(alt (/.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)))))))) (patch (/.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)))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (* a (+ (* 2 (/ c b)) (/ (* c (- (* -2 b) b)) (pow b 2))))) (* 1/2 (- (* -2 b) b))))) (pow a 2)) (taylor 0 a) (#s(alt (/.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)))))))) (patch (/.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)))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 (/ (pow b 3) c)) (* a (+ (* 1/2 (- (* -2 b) b)) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (* 2 (/ c b)) (/ (* c (- (* -2 b) b)) (pow b 2)))) (pow b 2))) (+ (* 1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) b)) (pow b 4))))))) (* -1/2 (+ (* 2 (/ c b)) (/ (* c (- (* -2 b) b)) (pow b 2))))))))) (pow a 2)) (taylor 0 a) (#s(alt (/.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)))))))) (patch (/.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)))))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (taylor inf a) (#s(alt (/.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)))))))) (patch (/.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)))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) a) (taylor inf a) (#s(alt (/.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)))))))) (patch (/.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)))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a) (taylor inf a) (#s(alt (/.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)))))))) (patch (/.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)))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a) (taylor inf a) (#s(alt (/.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)))))))) (patch (/.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)))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.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)))))))) (patch (/.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)))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) (taylor -inf a) (#s(alt (/.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)))))))) (patch (/.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)))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b)))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) (taylor -inf a) (#s(alt (/.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)))))))) (patch (/.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)))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) (taylor -inf a) (#s(alt (/.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)))))))) (patch (/.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)))))))) #<representation binary64>) () ())) ()) |
123 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | b | @ | 0 | (/ (* a (* c -2)) b) |
| 5.0ms | a | @ | inf | (- b (sqrt (+ (* b b) (* c (* a -4))))) |
| 3.0ms | c | @ | inf | (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))) |
| 2.0ms | c | @ | inf | (/ (+ (* b b) (+ (* b b) (* c (* a -4)))) (* (* a 2) (- b (sqrt (+ (* b b) (* c (* a -4))))))) |
| 2.0ms | b | @ | inf | (neg (/ b a)) |
| 1× | batch-egg-rewrite |
| 4 746× | lower-*.f32 |
| 4 730× | lower-*.f64 |
| 4 668× | lower-/.f32 |
| 4 654× | lower-/.f64 |
| 3 920× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 156 |
| 0 | 50 | 156 |
| 1 | 180 | 156 |
| 2 | 1308 | 150 |
| 0 | 8316 | 148 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 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 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(neg.f64 (/.f64 b a)) |
(/.f64 b a) |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 #s(literal 2 binary64) a) |
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) |
(*.f64 a (*.f64 c #s(literal -2 binary64))) |
(/.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)))))) |
(fma.f64 b b (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 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)))))))) |
| 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 #s(literal 0 binary64) (/.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 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (/.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 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (/.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (*.f64 a #s(literal -2 binary64)))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) (/.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))) |
(-.f64 (/.f64 (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 #s(literal -4 binary64) (*.f64 c a))))))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))) |
(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 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 (fma.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 b (*.f64 b b))) (*.f64 (-.f64 (fma.f64 b (+.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (fma.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 b (*.f64 b b))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 (fma.f64 b (+.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 b (sqrt.f64 (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))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 (fma.f64 b (+.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) (fma.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 b (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (*.f64 c (*.f64 a #s(literal 4 binary64))))) |
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(*.f64 (/.f64 (fma.f64 b (+.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (/.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.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 b (*.f64 b b))))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (fma.f64 b (+.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))) |
(*.f64 (/.f64 (fma.f64 b (+.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))) a)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 (fma.f64 b (+.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 c (*.f64 a #s(literal 4 binary64)))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (/.f64 (/.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))))))) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
(*.f64 (/.f64 (fma.f64 b (+.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 1 binary64)) (/.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)))))))) |
(*.f64 (pow.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (/.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b (+.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (/.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b (+.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 7 340× | lower-*.f64 |
| 7 340× | lower-*.f32 |
| 6 288× | lower-fma.f64 |
| 6 288× | lower-fma.f32 |
| 4 032× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1339 | 9593 |
| 1 | 4452 | 9287 |
| 0 | 8092 | 8901 |
| 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))) |
(* (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 b) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -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))))))) |
(* 2 (/ (* a c) b)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) 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 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 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 (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* 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 (+ (* -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 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 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 (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* 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 (+ (* -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)))))))) |
(* -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)))) |
(* -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) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(/ 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)))))) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (* 2 (pow b 2))) |
(+ (* -4 (* a c)) (* 2 (pow b 2))) |
(+ (* -4 (* a c)) (* 2 (pow b 2))) |
(* 2 (pow b 2)) |
(* (pow b 2) (+ 2 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 2 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 2 (* -4 (/ (* a c) (pow b 2))))) |
(* 2 (pow b 2)) |
(* (pow b 2) (+ 2 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 2 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 2 (* -4 (/ (* a c) (pow b 2))))) |
(* 2 (pow b 2)) |
(+ (* -4 (* a c)) (* 2 (pow b 2))) |
(+ (* -4 (* a c)) (* 2 (pow b 2))) |
(+ (* -4 (* a c)) (* 2 (pow b 2))) |
(* -4 (* a c)) |
(* c (+ (* -4 a) (* 2 (/ (pow b 2) c)))) |
(* c (+ (* -4 a) (* 2 (/ (pow b 2) c)))) |
(* c (+ (* -4 a) (* 2 (/ (pow b 2) c)))) |
(* -4 (* a c)) |
(* -1 (* c (+ (* -2 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -2 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -2 (/ (pow b 2) c)) (* 4 a)))) |
(* 2 (pow b 2)) |
(+ (* -4 (* a c)) (* 2 (pow b 2))) |
(+ (* -4 (* a c)) (* 2 (pow b 2))) |
(+ (* -4 (* a c)) (* 2 (pow b 2))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (* 2 (/ (pow b 2) a)))) |
(* a (+ (* -4 c) (* 2 (/ (pow b 2) a)))) |
(* a (+ (* -4 c) (* 2 (/ (pow b 2) a)))) |
(* -4 (* a c)) |
(* -1 (* a (+ (* -2 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -2 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -2 (/ (pow b 2) a)) (* 4 c)))) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 1/2 (* b (- (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1/2 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (- (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (sqrt -4)))) (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* 1/2 (- (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(* 1/2 (/ (pow b 3) (* (pow a 2) c))) |
(* (pow b 3) (- (* 1/2 (/ 1 (* (pow a 2) c))) (* 3/2 (/ 1 (* a (pow b 2)))))) |
(* (pow b 3) (- (+ (* -1/2 (/ (+ (* -3 c) (* 2 c)) (pow b 4))) (* 1/2 (/ 1 (* (pow a 2) c)))) (/ 3/2 (* a (pow b 2))))) |
(* (pow b 3) (- (+ (* -1/2 (/ (+ (* -6 (* a (pow c 2))) (+ (* -1 (* a (* c (+ (* -3 c) (* 2 c))))) (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -3 c) (* 2 c)) (pow b 4))) (* 1/2 (/ 1 (* (pow a 2) c))))) (/ 3/2 (* a (pow b 2))))) |
(* 1/2 (/ b a)) |
(* -1 (* b (- (* -1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (- (+ (* -1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4)))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (- (+ (* -1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (+ (* 1/2 (/ (+ (* -2 (* (pow a 2) (pow c 3))) (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* -2 c) (* -1 c))))) (* a (* c (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))))))) (pow b 6))) (* 1/2 (/ (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))))) (* 1/2 (/ 1 a))))) |
(* 1/2 (/ (pow b 3) (* (pow a 2) c))) |
(/ (+ (* 1/2 (* c (- (* -2 (/ b a)) (/ b a)))) (* 1/2 (/ (pow b 3) (pow a 2)))) c) |
(/ (+ (* 1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* -1/2 (* c (+ (* 2 (/ 1 b)) (/ (* a (- (* -2 (/ b a)) (/ b a))) (pow b 2))))) (* 1/2 (- (* -2 (/ b a)) (/ b a)))))) c) |
(/ (+ (* 1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* 1/2 (- (* -2 (/ b a)) (/ b a))) (* c (+ (* -1/2 (* c (+ (* -1 (/ (* a (+ (* 2 (/ 1 b)) (/ (* a (- (* -2 (/ b a)) (/ b a))) (pow b 2)))) (pow b 2))) (+ (* 1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 3))) (* 2 (/ (* (pow a 2) (- (* -2 (/ b a)) (/ b a))) (pow b 4))))))) (* -1/2 (+ (* 2 (/ 1 b)) (/ (* a (- (* -2 (/ b a)) (/ b a))) (pow b 2))))))))) c) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 1/2 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) |
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* 1/2 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))) |
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (+ (* 1/2 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))))) c))) |
(* 1/2 (/ (pow b 3) (* (pow a 2) c))) |
(/ (+ (* 1/2 (* a (- (* -2 b) b))) (* 1/2 (/ (pow b 3) c))) (pow a 2)) |
(/ (+ (* 1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (* a (+ (* 2 (/ c b)) (/ (* c (- (* -2 b) b)) (pow b 2))))) (* 1/2 (- (* -2 b) b))))) (pow a 2)) |
(/ (+ (* 1/2 (/ (pow b 3) c)) (* a (+ (* 1/2 (- (* -2 b) b)) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (* 2 (/ c b)) (/ (* c (- (* -2 b) b)) (pow b 2)))) (pow b 2))) (+ (* 1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) b)) (pow b 4))))))) (* -1/2 (+ (* 2 (/ c b)) (/ (* c (- (* -2 b) b)) (pow b 2))))))))) (pow a 2)) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) a) |
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a) |
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b)))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
| Outputs |
|---|
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 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 #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 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 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 1/16 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) 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 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (+.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))))) |
(* -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 (+.f64 c (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))))) (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 (+.f64 c (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)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))))))) (neg.f64 b)) |
(* -1 (/ b a)) |
(/.f64 (neg.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))))) |
(fma.f64 c (fma.f64 a (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) (/.f64 (neg.f64 b) 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 #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 #s(literal 1 binary64) b)) (/.f64 (neg.f64 b) a)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 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 #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 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (*.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 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.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 (pow.f64 b #s(literal 4 binary64)) (*.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 (/.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 (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 #s(literal -1/2 binary64) (/.f64 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 #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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) c)) c))) (neg.f64 c)) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) 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 (-.f64 (*.f64 a (fma.f64 a (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))) (/.f64 c b))) b) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.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 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (pow.f64 b #s(literal 4 binary64))) (*.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))))) (/.f64 (*.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 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 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 (*.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)) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)) b) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.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 (+ 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))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
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(* (sqrt (* a c)) (sqrt -4)) |
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b |
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b |
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(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 a b) #s(literal -4 binary64)))) a) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) a) |
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 b (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 a b) #s(literal -4 binary64))))) (sqrt.f64 #s(literal -4 binary64))) (neg.f64 (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 b b)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (*.f64 a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 a b) #s(literal -4 binary64)))) a) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))) a) |
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 b (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 a b) #s(literal -4 binary64))))) (sqrt.f64 #s(literal -4 binary64))) (neg.f64 (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 b b)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (*.f64 a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (*.f64 b (fma.f64 (/.f64 (*.f64 b (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 a b) #s(literal -4 binary64))))) (sqrt.f64 #s(literal -4 binary64))) (neg.f64 (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 b b)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 b b)) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 a b) #s(literal -4 binary64))))) c))) (*.f64 a (*.f64 a a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 a b) #s(literal -4 binary64)))) a) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (/ (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 a b)) a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b)))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 a b)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 a b)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))))) a))) a)) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 a b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 a b)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))))))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 a (*.f64 b b)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 a b)))) c)) a) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 a b)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))))))) a)) a)) (neg.f64 a)) |
Compiled 60 114 to 4 569 computations (92.4% saved)
36 alts after pruning (34 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 834 | 26 | 1 860 |
| Fresh | 5 | 8 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 842 | 36 | 1 878 |
| Status | Accuracy | Program |
|---|---|---|
| 26.2% | (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) | |
| 3.0% | (/.f64 (fma.f64 c (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (fma.f64 a (/.f64 (fma.f64 (/.f64 b a) #s(literal -2 binary64) (/.f64 (neg.f64 b) a)) (*.f64 b b)) (/.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 b a) #s(literal -2 binary64) (/.f64 (neg.f64 b) a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))) (*.f64 a a))) c) | |
| 43.9% | (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 a #s(literal -2 binary64))) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) | |
| 34.3% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) | |
| 40.1% | (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a) | |
| 34.2% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) | |
| ✓ | 56.7% | (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
| 34.2% | (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal -2 binary64))) | |
| 31.0% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 c (*.f64 a #s(literal 4 binary64)))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) | |
| 22.3% | (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b)) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 39.6% | (/.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
| ▶ | 24.2% | (/.f64 (*.f64 #s(literal -1 binary64) (/.f64 c a)) (/.f64 b a)) |
| 29.3% | (/.f64 c (neg.f64 b)) | |
| 8.8% | (/.f64 c b) | |
| ▶ | 2.6% | (/.f64 b a) |
| ▶ | 8.8% | (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)) |
| 2.6% | (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) | |
| 25.8% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) | |
| 34.3% | (/.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)) | |
| 40.0% | (/.f64 #s(literal -1 binary64) (/.f64 a b)) | |
| 40.2% | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 43.9% | (*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) | |
| 24.6% | (*.f64 (/.f64 a b) (*.f64 #s(literal -1 binary64) (/.f64 c a))) | |
| ▶ | 56.6% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
| 29.2% | (*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 #s(literal 1 binary64) (/.f64 c #s(literal 2 binary64)))) | |
| 2.2% | (*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b)) | |
| 39.3% | (*.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (/.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)))))))) | |
| 26.0% | (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 b (*.f64 a #s(literal 2 binary64))))) | |
| 5.5% | (*.f64 (*.f64 b (*.f64 b b)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 a a)))) (/.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 b b))))) | |
| 5.6% | (*.f64 (*.f64 b (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 a a))) (/.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 b b))))) | |
| 2.2% | (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))) | |
| 40.0% | (*.f64 b (/.f64 #s(literal -1 binary64) a)) | |
| 39.8% | (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) | |
| 22.7% | (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 c a) (*.f64 a b))) | |
| ✓ | 40.1% | (neg.f64 (/.f64 b a)) |
| 17.7% | (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 b (*.f64 c #s(literal -2 binary64)))))) #s(literal -1 binary64))) |
Compiled 1 157 to 767 computations (33.7% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
| ✓ | cost-diff | 0 | (*.f64 a #s(literal 4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 c (*.f64 a #s(literal 4 binary64))) |
| ✓ | cost-diff | 960 | (/.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
| ✓ | cost-diff | 0 | (/.f64 b a) |
| ✓ | cost-diff | 0 | (/.f64 c a) |
| ✓ | cost-diff | 192 | (*.f64 #s(literal -1 binary64) (/.f64 c a)) |
| ✓ | cost-diff | 1408 | (/.f64 (*.f64 #s(literal -1 binary64) (/.f64 c a)) (/.f64 b a)) |
| ✓ | cost-diff | 0 | (*.f64 b #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 b #s(literal 1/2 binary64)) c) |
| ✓ | cost-diff | 1024 | (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)) |
| ✓ | cost-diff | 0 | (/.f64 b 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 #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))))))) |
| 5 886× | lower-*.f32 |
| 5 864× | lower-*.f64 |
| 2 652× | lower-/.f32 |
| 2 638× | lower-/.f64 |
| 1 892× | lower--.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 195 |
| 0 | 58 | 193 |
| 1 | 108 | 189 |
| 2 | 266 | 184 |
| 3 | 791 | 179 |
| 4 | 2044 | 179 |
| 5 | 3361 | 179 |
| 6 | 5844 | 179 |
| 0 | 8391 | 179 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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 b a) |
b |
a |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)) |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 b #s(literal 1/2 binary64)) c) |
(*.f64 b #s(literal 1/2 binary64)) |
b |
c |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 c a)) (/.f64 b a)) |
(*.f64 #s(literal -1 binary64) (/.f64 c a)) |
#s(literal -1 binary64) |
(/.f64 c a) |
c |
a |
(/.f64 b a) |
b |
(/.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
(*.f64 c (*.f64 a #s(literal 4 binary64))) |
c |
(*.f64 a #s(literal 4 binary64)) |
a |
#s(literal 4 binary64) |
(*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
(*.f64 a #s(literal -2 binary64)) |
#s(literal -2 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 #s(literal -4 binary64) (*.f64 c a)))) |
(fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
#s(literal -4 binary64) |
(*.f64 c a) |
| Outputs |
|---|
(*.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 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(/.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))) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
c |
(*.f64 a #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(/.f64 b a) |
b |
a |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)) |
(/.f64 c b) |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 b #s(literal 1/2 binary64)) c) |
(*.f64 b (/.f64 #s(literal 1/2 binary64) c)) |
(*.f64 b #s(literal 1/2 binary64)) |
b |
c |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 c a)) (/.f64 b a)) |
(/.f64 c (neg.f64 b)) |
(*.f64 #s(literal -1 binary64) (/.f64 c a)) |
(neg.f64 (/.f64 c a)) |
#s(literal -1 binary64) |
(/.f64 c a) |
c |
a |
(/.f64 b a) |
b |
(/.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
(/.f64 (*.f64 c #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(*.f64 c (*.f64 a #s(literal 4 binary64))) |
(*.f64 a (*.f64 c #s(literal 4 binary64))) |
c |
(*.f64 a #s(literal 4 binary64)) |
a |
#s(literal 4 binary64) |
(*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
(*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(*.f64 a #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
#s(literal -4 binary64) |
(*.f64 c a) |
(*.f64 a c) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.8% | (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
| ✓ | accuracy | 74.7% | (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
| ✓ | accuracy | 70.6% | (/.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
| ✓ | accuracy | 62.4% | (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
| ✓ | accuracy | 100.0% | (/.f64 c a) |
| ✓ | accuracy | 100.0% | (/.f64 b a) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -1 binary64) (/.f64 c a)) |
| ✓ | accuracy | 74.9% | (/.f64 (*.f64 #s(literal -1 binary64) (/.f64 c a)) (/.f64 b a)) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 b #s(literal 1/2 binary64)) c) |
| ✓ | accuracy | 100.0% | (*.f64 b #s(literal 1/2 binary64)) |
| ✓ | accuracy | 98.9% | (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)) |
| ✓ | accuracy | 100.0% | (/.f64 b a) |
| ✓ | accuracy | 98.8% | (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
| ✓ | accuracy | 93.6% | (*.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 | 85.0% | (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | accuracy | 62.4% | (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| 33.0ms | 76× | 2 | valid |
| 32.0ms | 74× | 1 | valid |
| 21.0ms | 93× | 0 | valid |
| 7.0ms | 13× | 3 | valid |
Compiled 206 to 36 computations (82.5% saved)
ival-mult: 18.0ms (30.2% of total)ival-div: 12.0ms (20.2% of total)adjust: 9.0ms (15.1% of total)ival-sub: 8.0ms (13.4% of total)ival-add: 6.0ms (10.1% of total)ival-sqrt: 6.0ms (10.1% of total)exact: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#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 (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 b #s(literal 1/2 binary64)) c) (patch (/.f64 (*.f64 b #s(literal 1/2 binary64)) c) #<representation binary64>) () ()) |
#s(alt (*.f64 b #s(literal 1/2 binary64)) (patch (*.f64 b #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal -1 binary64) (/.f64 c a)) (/.f64 b a)) (patch (/.f64 (*.f64 #s(literal -1 binary64) (/.f64 c a)) (/.f64 b a)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1 binary64) (/.f64 c a)) (patch (*.f64 #s(literal -1 binary64) (/.f64 c a)) #<representation binary64>) () ()) |
#s(alt (/.f64 c a) (patch (/.f64 c a) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) (patch (/.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #<representation binary64>) () ()) |
#s(alt (*.f64 c (*.f64 a #s(literal 4 binary64))) (patch (*.f64 c (*.f64 a #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 a #s(literal 4 binary64)) (patch (*.f64 a #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (patch (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) #<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 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (patch (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #<representation binary64>) () ()) |
#s(alt (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (patch (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) (patch (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ b a)) (taylor 0 a) (#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 (/ (+ (* -1 b) (/ (* a c) b)) a) (taylor 0 a) (#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 (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) (taylor 0 a) (#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 (/ (+ (* -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 #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 (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf a) (#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 (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) (taylor inf a) (#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 (+ (* -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 (/.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 (+ (* -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 (/.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 (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf a) (#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 (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#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 (+ (* -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 (/.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 (+ (* -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 (/.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 (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor 0 b) (#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 (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) (taylor 0 b) (#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 (+ (* -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 #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 (+ (* -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 #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 (* -1 (/ b a)) (taylor inf b) (#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 (* b (- (/ c (pow b 2)) (/ 1 a))) (taylor inf b) (#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 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) (taylor inf b) (#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 (* 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 #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 (* -1 (/ c b)) (taylor -inf b) (#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 (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) (taylor -inf b) (#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 (* -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 #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 (* -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 #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 (* -1 (/ b a)) (taylor 0 c) (#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>) () ())) ()) |
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#s(alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (patch (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #<representation binary64>) () ())) ()) |
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#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (patch (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #<representation binary64>) () ())) ()) |
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#s(alt (* a (+ (* -4 c) (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) (patch (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) #<representation binary64>) () ())) ()) |
#s(alt (* -4 (* a c)) (taylor -inf a) (#s(alt (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) (patch (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) (patch (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) (patch (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) (patch (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) #<representation binary64>) () ())) ()) |
135 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | inf | (/ (* c (* a 4)) (* (* a -2) (- b (sqrt (+ (* b b) (* -4 (* c a))))))) |
| 1.0ms | c | @ | inf | (/ (* c (* a 4)) (* (* a -2) (- b (sqrt (+ (* b b) (* -4 (* c a))))))) |
| 1.0ms | a | @ | -inf | (/ (* c (* a 4)) (* (* a -2) (- b (sqrt (+ (* b b) (* -4 (* c a))))))) |
| 1.0ms | c | @ | -inf | (/ (* c (* a 4)) (* (* a -2) (- b (sqrt (+ (* b b) (* -4 (* c a))))))) |
| 1.0ms | b | @ | inf | (/ (* c (* a 4)) (* (* a -2) (- b (sqrt (+ (* b b) (* -4 (* c a))))))) |
| 1× | batch-egg-rewrite |
| 7 550× | lower-fma.f32 |
| 7 548× | lower-fma.f64 |
| 6 394× | lower-*.f32 |
| 6 372× | lower-*.f64 |
| 3 204× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 153 |
| 0 | 58 | 151 |
| 1 | 209 | 147 |
| 2 | 1291 | 139 |
| 0 | 8634 | 139 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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))))) |
(/.f64 b a) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)) |
(/.f64 (*.f64 b #s(literal 1/2 binary64)) c) |
(*.f64 b #s(literal 1/2 binary64)) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 c a)) (/.f64 b a)) |
(*.f64 #s(literal -1 binary64) (/.f64 c a)) |
(/.f64 c a) |
(/.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
(*.f64 c (*.f64 a #s(literal 4 binary64))) |
(*.f64 a #s(literal 4 binary64)) |
(*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (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)))) |
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
(-.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))) |
| Outputs |
|---|
(+.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64)))) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 b (neg.f64 a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal -1/2 binary64) b) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (/.f64 #s(literal -1 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal 1 binary64) a)) #s(literal -1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) |
(neg.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a))) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (neg.f64 a))) |
(neg.f64 (/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 1/2 binary64)) a)) |
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))))) |
(/.f64 (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))))))) |
(/.f64 (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))))) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))))) (*.f64 #s(literal -1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))))) (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))))) a) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))))) (neg.f64 a)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))))) (*.f64 a #s(literal -2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) a) (*.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (neg.f64 a)) (*.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 b a) (/.f64 b a)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) (-.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64)))))) (fma.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) a))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))))) |
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(+.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 a c) a) #s(literal -2 binary64)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (fma.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 a c) a) #s(literal -2 binary64)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 b b))) |
(+.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 a c) a) #s(literal -2 binary64)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.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 (/.f64 (*.f64 (/.f64 (*.f64 a c) a) #s(literal -2 binary64)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) |
(+.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 a c) a) #s(literal -2 binary64)) (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) b) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 a c) a) #s(literal -2 binary64)) (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) |
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(fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 a c) a) #s(literal -2 binary64)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.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 (/.f64 (*.f64 (/.f64 (*.f64 a c) a) #s(literal -2 binary64)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) |
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(neg.f64 (/.f64 (*.f64 (/.f64 (*.f64 a c) a) #s(literal -2 binary64)) (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 (/.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 a #s(literal 4 binary64))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a (*.f64 #s(literal 16 binary64) (*.f64 c c))) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))))) (fma.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64)) (*.f64 a (*.f64 a a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (-.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a (*.f64 a c))) #s(literal -16 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64)) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(/.f64 (neg.f64 (fma.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64)) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 a (*.f64 a (*.f64 #s(literal 16 binary64) (*.f64 c c))) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a (*.f64 a c))) #s(literal -16 binary64)))) (fma.f64 b (neg.f64 b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #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 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (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 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64))))) (*.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 (neg.f64 (neg.f64 (fma.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64)) (*.f64 a (*.f64 a a)))))) (neg.f64 (neg.f64 (fma.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a (*.f64 a c))) #s(literal -16 binary64))))) (neg.f64 (fma.f64 b (neg.f64 b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b))))) (neg.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))) (fma.f64 (/.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))) (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))))) (*.f64 (/.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))))) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))))) |
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) |
(*.f64 #s(literal -1 binary64) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b (neg.f64 b)))) |
(*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 (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))))))) |
(*.f64 (fma.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(*.f64 (fma.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 #s(literal 16 binary64) (*.f64 c c))) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))))))) |
(*.f64 (fma.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) |
(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a (*.f64 a c))) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64)) (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(*.f64 (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a (*.f64 a c))) #s(literal -16 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (neg.f64 b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) |
(*.f64 (pow.f64 (fma.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64)) (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a (*.f64 a c))) #s(literal -16 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) |
| 1× | egg-herbie |
| 8 386× | lower-fma.f64 |
| 8 386× | lower-fma.f32 |
| 6 736× | lower-*.f64 |
| 6 736× | lower-*.f32 |
| 6 112× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1063 | 8506 |
| 1 | 3543 | 8342 |
| 0 | 8053 | 7992 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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))) |
(* -1/2 (* (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))))) |
(/ -1/2 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) |
(* (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 b) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -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))))))) |
(* 2 (/ (* a c) b)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) 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 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 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 (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* 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 (+ (* -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 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 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 (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* 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 (+ (* -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)))))))) |
(/ 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 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) |
(* 1/2 (/ b c)) |
(* 1/2 (/ b c)) |
(* 1/2 (/ b c)) |
(* 1/2 (/ b c)) |
(* 1/2 (/ b c)) |
(* 1/2 (/ b c)) |
(* 1/2 (/ b c)) |
(* 1/2 (/ b c)) |
(* 1/2 (/ b c)) |
(* 1/2 (/ b c)) |
(* 1/2 (/ b c)) |
(* 1/2 (/ b c)) |
(* 1/2 (/ b c)) |
(* 1/2 (/ b c)) |
(* 1/2 (/ b c)) |
(* 1/2 (/ b c)) |
(* 1/2 (/ b c)) |
(* 1/2 (/ b c)) |
(* 1/2 (/ b c)) |
(* 1/2 (/ b c)) |
(* 1/2 (/ b c)) |
(* 1/2 (/ b c)) |
(* 1/2 (/ b c)) |
(* 1/2 (/ b c)) |
(* 1/2 b) |
(* 1/2 b) |
(* 1/2 b) |
(* 1/2 b) |
(* 1/2 b) |
(* 1/2 b) |
(* 1/2 b) |
(* 1/2 b) |
(* 1/2 b) |
(* 1/2 b) |
(* 1/2 b) |
(* 1/2 b) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c a)) |
(* -1 (/ c a)) |
(* -1 (/ c a)) |
(* -1 (/ c a)) |
(* -1 (/ c a)) |
(* -1 (/ c a)) |
(* -1 (/ c a)) |
(* -1 (/ c a)) |
(* -1 (/ c a)) |
(* -1 (/ c a)) |
(* -1 (/ c a)) |
(* -1 (/ c a)) |
(* -1 (/ c a)) |
(* -1 (/ c a)) |
(* -1 (/ c a)) |
(* -1 (/ c a)) |
(* -1 (/ c a)) |
(* -1 (/ c a)) |
(* -1 (/ c a)) |
(* -1 (/ c a)) |
(* -1 (/ c a)) |
(* -1 (/ c a)) |
(* -1 (/ c a)) |
(* -1 (/ 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 a) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (* 2 (* c (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (* 2 (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))))) (/ 1 b)))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (* 2 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (/ c b)))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)))))) (* 2 (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))))) (/ c b)))) a) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))))) a) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 2 (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4)))))) (* 2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2)))) (/ 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 (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 a) |
(* 4 a) |
(* 4 a) |
(* 4 a) |
(* 4 a) |
(* 4 a) |
(* 4 a) |
(* 4 a) |
(* 4 a) |
(* 4 a) |
(* 4 a) |
(* 4 a) |
(* -4 (/ (* (pow a 2) c) b)) |
(* (pow a 2) (+ (* -4 (/ c b)) (* -4 (/ (* a (pow c 2)) (pow b 3))))) |
(* (pow a 2) (+ (* -4 (/ c b)) (* a (+ (* -8 (/ (* a (pow c 3)) (pow b 5))) (* -4 (/ (pow c 2) (pow b 3))))))) |
(* (pow a 2) (+ (* -4 (/ c b)) (* a (+ (* -4 (/ (pow c 2) (pow b 3))) (* a (+ (* -8 (/ (pow c 3) (pow b 5))) (* -1 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(* (pow a 2) (+ (* -2 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -4))))) |
(* (pow a 2) (+ (* -2 (/ b a)) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(* (pow a 2) (+ (* -2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))) |
(* -4 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* -2 (/ b a)))) |
(* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 2 b)) a)))) |
(* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 2 b)) a)))) |
(* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(+ (* -2 (* a b)) (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))) |
(+ (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -2 a) (* (sqrt (/ a c)) (/ b (sqrt -4)))))) |
(+ (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -2 a) (* b (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))))) |
(* -4 (/ (* (pow a 2) c) b)) |
(/ (+ (* -4 (* (pow a 2) c)) (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -8 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -4 (* (pow a 2) c)) (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -8 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -4 (* (pow a 2) c)) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -1 (/ (* a (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b) |
(* -4 (* a b)) |
(* -1 (* b (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (* 4 a)))) |
(* -1 (* b (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 4 a))))) |
(* -1 (* b (+ (* -8 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 4 a)))))) |
(* -4 (/ (* (pow a 2) c) b)) |
(* c (+ (* -4 (/ (* (pow a 3) c) (pow b 3))) (* -4 (/ (pow a 2) b)))) |
(* c (+ (* -4 (/ (pow a 2) b)) (* c (+ (* -8 (/ (* (pow a 4) c) (pow b 5))) (* -4 (/ (pow a 3) (pow b 3))))))) |
(* c (+ (* -4 (/ (pow a 2) b)) (* c (+ (* -4 (/ (pow a 3) (pow b 3))) (* c (+ (* -8 (/ (pow a 4) (pow b 5))) (* -1 (/ (* a (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) b)))))))) |
(* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(* c (+ (* -2 (/ (* a b) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))))) |
(* c (+ (* -2 (/ (* a b) c)) (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))))) |
(* c (+ (* -2 (/ (* a b) c)) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4))))))) |
(* -4 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (/ (* a b) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -2 (* a b)) (* -1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -2 (* a b)) (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -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)))))))) |
(* -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)))))) |
(* -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)))) |
| Outputs |
|---|
(* -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) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(/.f64 (-.f64 (*.f64 a (fma.f64 a (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))) (/.f64 c b))) b) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 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 -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -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 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (*.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))))) (/.f64 (*.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 b #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 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 a (*.f64 c (*.f64 c c))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) a)) a)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 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 #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 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 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 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) |
(* -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 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a 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 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.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 (*.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 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.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 (*.f64 c (fma.f64 a (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) 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 c (fma.f64 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 #s(literal 1 binary64) b)) (/.f64 b (neg.f64 a))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 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 a c))) (/.f64 b (*.f64 a c))))) |
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(* (sqrt (/ c a)) (sqrt -1)) |
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(/ -1/2 a) |
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(/ -1/2 a) |
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(/ -1/2 a) |
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(/ -1/2 a) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* 2 (/ (* a c) b)) |
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(* 2 b) |
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(* 2 b) |
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(* (sqrt (* a c)) (sqrt -4)) |
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b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
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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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(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 (*.f64 a c) #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 (*.f64 a c) #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 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 (*.f64 a c) #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 (*.f64 a c) #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)) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))) |
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(fma.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c 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) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))) |
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b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(fma.f64 b (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)) b) |
(* 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 (fma.f64 b (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)) b)) |
(* -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)))))))) |
(*.f64 (neg.f64 b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))))) #s(literal 1 binary64)))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b) 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 #s(literal -4 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (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)))) (+ (* 1/2 (* (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 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 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))) |
(* -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 #s(literal 2 binary64) (*.f64 (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 #s(literal -1/64 binary64) (*.f64 (*.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 #s(literal 2 binary64) (*.f64 (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)))) (+ (* 1/512 (* (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 #s(literal -1/64 binary64) (*.f64 (*.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 1/512 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 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 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))) (neg.f64 c)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 a (*.f64 #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 (fma.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) #s(literal -4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.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 a c))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 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 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 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 (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 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64)))))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))) |
(* -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 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.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)))))) (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 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.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))))))) (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)))))))) |
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(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))) |
(- b (* (sqrt (* a c)) (sqrt -4))) |
(-.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 b (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1 binary64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))))) |
(- (* 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))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 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 a c))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1 binary64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))))) |
(* 2 (/ (* a c) b)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b)) |
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b) |
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 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) |
(/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 a c (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b)))))) 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) |
(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.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))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (fma.f64 a c (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b)))))) b) |
(* 2 b) |
(*.f64 b #s(literal 2 binary64)) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(*.f64 (neg.f64 b) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -2 binary64))) |
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))) |
(*.f64 (neg.f64 b) (+.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64)))) #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) (*.f64 b b)))) |
(* -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)))))))) |
(*.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))))) #s(literal 2 binary64)))) |
(* 2 (/ (* a c) b)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b)) |
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(*.f64 c (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 a b)))) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 2 binary64) (/.f64 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)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) b) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 2 binary64) (/.f64 a b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (-.f64 (/.f64 b c) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (-.f64 (fma.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 a (*.f64 c (*.f64 c c)))))) (/.f64 b c)) (*.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)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 c (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 b c)) (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)))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))) |
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (+.f64 (/.f64 b (neg.f64 c)) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))) (neg.f64 c)) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64) b) (neg.f64 c)) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))) (neg.f64 c)) |
(* -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)))))) |
(neg.f64 (*.f64 c (+.f64 (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/64 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))) c)) (neg.f64 c)) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))) |
(* 2 (/ (* a c) b)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b)) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(*.f64 a (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))) |
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 c b) #s(literal 2 binary64)))) |
(* 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)))) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) b) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 c b) #s(literal 2 binary64)))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 b a)) (*.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)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(*.f64 a (-.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/8 binary64) (/.f64 b a)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))) |
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (+.f64 (/.f64 b (neg.f64 a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64))) (neg.f64 a)) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(neg.f64 (*.f64 a (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64) b) (neg.f64 a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64))))) |
(* -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)))))) |
(*.f64 (+.f64 (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/64 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))) a)) (neg.f64 a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64))) (neg.f64 a)) |
(* -4 (* a c)) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 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 a c) (*.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 a c) (*.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 a 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 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.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 a c) (*.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 a c) (*.f64 b b)) #s(literal 1 binary64))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 (*.f64 a c) #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 (*.f64 a c) #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 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 (*.f64 a c) #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 (*.f64 a c) #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)) |
Compiled 43 516 to 4 048 computations (90.7% saved)
45 alts after pruning (41 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 623 | 24 | 1 647 |
| Fresh | 12 | 17 | 29 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 638 | 45 | 1 683 |
| Status | Accuracy | Program |
|---|---|---|
| 26.2% | (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) | |
| 3.0% | (/.f64 (fma.f64 c (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (fma.f64 a (/.f64 (fma.f64 (/.f64 b a) #s(literal -2 binary64) (/.f64 (neg.f64 b) a)) (*.f64 b b)) (/.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 b a) #s(literal -2 binary64) (/.f64 (neg.f64 b) a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))) (*.f64 a a))) c) | |
| 8.6% | (/.f64 (/.f64 (neg.f64 c) (*.f64 b a)) (/.f64 #s(literal -1 binary64) a)) | |
| 34.2% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) | |
| ✓ | 56.7% | (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
| 34.2% | (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal -2 binary64))) | |
| 43.9% | (/.f64 (*.f64 (/.f64 (*.f64 a c) a) #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) | |
| 24.2% | (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) c) (/.f64 b a)) | |
| 22.3% | (/.f64 (*.f64 c (/.f64 a (neg.f64 b))) a) | |
| 26.7% | (/.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) | |
| 29.3% | (/.f64 (neg.f64 c) b) | |
| ▶ | 8.8% | (/.f64 c b) |
| ✓ | 2.6% | (/.f64 b a) |
| 28.8% | (/.f64 a (*.f64 b (/.f64 a (neg.f64 c)))) | |
| 2.6% | (/.f64 #s(literal 1 binary64) (/.f64 a b)) | |
| 25.8% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) | |
| ▶ | 34.3% | (/.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)) |
| 28.8% | (/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 #s(literal -1/2 binary64) c))) | |
| 28.8% | (/.f64 #s(literal -1 binary64) (/.f64 b c)) | |
| 40.0% | (/.f64 #s(literal -1 binary64) (/.f64 a b)) | |
| ▶ | 40.2% | (-.f64 (/.f64 c b) (/.f64 b a)) |
| 43.8% | (*.f64 (/.f64 (*.f64 a c) (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) | |
| 8.6% | (*.f64 (/.f64 (neg.f64 c) (*.f64 b a)) (neg.f64 a)) | |
| 8.7% | (*.f64 (/.f64 c a) (/.f64 a b)) | |
| 8.8% | (*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) c) #s(literal 2 binary64)) #s(literal -1 binary64))) | |
| 8.8% | (*.f64 (/.f64 #s(literal 1 binary64) b) c) | |
| 2.6% | (*.f64 (/.f64 #s(literal 1 binary64) a) b) | |
| ✓ | 56.6% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
| 34.2% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))) | |
| 29.2% | (*.f64 (/.f64 #s(literal -1 binary64) b) c) | |
| ▶ | 2.2% | (*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b)) |
| 26.0% | (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 b (*.f64 a #s(literal 2 binary64))))) | |
| 5.5% | (*.f64 (*.f64 b (*.f64 b b)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 a a)))) (/.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 b b))))) | |
| 5.6% | (*.f64 (*.f64 b (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 a a))) (/.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 b b))))) | |
| 30.4% | (*.f64 (*.f64 a (/.f64 c a)) (/.f64 #s(literal -1 binary64) b)) | |
| 36.4% | (*.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 c (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))))) | |
| 2.2% | (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))) | |
| ▶ | 47.8% | (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64)))) |
| 25.5% | (*.f64 c (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 a b))) | |
| 40.0% | (*.f64 b (/.f64 #s(literal -1 binary64) a)) | |
| 39.8% | (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) | |
| 22.7% | (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 c a) (*.f64 a b))) | |
| ✓ | 40.1% | (neg.f64 (/.f64 b a)) |
| 17.7% | (exp.f64 (*.f64 (log.f64 (/.f64 b (neg.f64 c))) #s(literal -1 binary64))) | |
| 3.3% | (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))) |
Compiled 1 257 to 835 computations (33.6% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a) |
| ✓ | cost-diff | 384 | (/.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)) |
| ✓ | cost-diff | 0 | (*.f64 b b) |
| ✓ | cost-diff | 0 | (/.f64 c (*.f64 b b)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) |
| ✓ | cost-diff | 768 | (*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 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 | (/.f64 c b) |
| ✓ | cost-diff | 0 | (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 320 | (/.f64 #s(literal -4 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64))) |
| 3 040× | lower-fma.f32 |
| 3 036× | lower-fma.f64 |
| 2 542× | lower-*.f32 |
| 2 526× | lower-*.f64 |
| 1 912× | lower-/.f32 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 230 |
| 0 | 57 | 230 |
| 1 | 94 | 222 |
| 2 | 158 | 222 |
| 3 | 325 | 221 |
| 4 | 572 | 221 |
| 5 | 1102 | 217 |
| 6 | 2421 | 217 |
| 7 | 4098 | 217 |
| 8 | 5440 | 217 |
| 9 | 5944 | 217 |
| 10 | 6105 | 217 |
| 11 | 6195 | 217 |
| 12 | 6343 | 217 |
| 13 | 7230 | 217 |
| 0 | 8081 | 217 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64)))) |
c |
(/.f64 #s(literal -4 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64))) |
#s(literal -4 binary64) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64)) |
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(*.f64 a c) |
a |
(*.f64 b b) |
#s(literal 2 binary64) |
(/.f64 c b) |
c |
b |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
c |
b |
(/.f64 b a) |
a |
(*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b)) |
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 c (*.f64 b b)) |
c |
(*.f64 b b) |
b |
(/.f64 #s(literal -1 binary64) a) |
#s(literal -1 binary64) |
a |
(neg.f64 b) |
(/.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)) |
#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 #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 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)) |
a |
#s(literal -4 binary64) |
| Outputs |
|---|
(*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 c #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))) |
c |
(/.f64 #s(literal -4 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) b)) |
#s(literal -4 binary64) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64)) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) #s(literal 2 binary64)) |
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) |
(-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) |
(*.f64 a c) |
(*.f64 c a) |
a |
(*.f64 b b) |
#s(literal 2 binary64) |
(/.f64 c b) |
c |
b |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
c |
b |
(/.f64 b a) |
a |
(*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b)) |
(-.f64 (/.f64 b a) (/.f64 c b)) |
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 c (*.f64 b b)) |
c |
(*.f64 b b) |
b |
(/.f64 #s(literal -1 binary64) a) |
#s(literal -1 binary64) |
a |
(neg.f64 b) |
(/.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 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a)) |
#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 a (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.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 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) b)) |
#s(literal 1 binary64) |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(*.f64 c (*.f64 #s(literal -4 binary64) a)) |
c |
(*.f64 a #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) a) |
a |
#s(literal -4 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.8% | (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
| ✓ | accuracy | 93.5% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a) |
| ✓ | accuracy | 74.7% | (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | accuracy | 62.4% | (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | accuracy | 100.0% | (neg.f64 b) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) |
| ✓ | accuracy | 91.4% | (*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b)) |
| ✓ | accuracy | 88.0% | (/.f64 c (*.f64 b b)) |
| ✓ | accuracy | 100.0% | (/.f64 c b) |
| ✓ | accuracy | 100.0% | (/.f64 b a) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 c b) (/.f64 b a)) |
| ✓ | accuracy | 100.0% | (/.f64 c b) |
| ✓ | accuracy | 99.0% | (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
| ✓ | accuracy | 95.3% | (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64)))) |
| ✓ | accuracy | 74.7% | (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) |
| ✓ | accuracy | 62.4% | (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
| 37.0ms | 160× | 0 | valid |
| 21.0ms | 39× | 2 | valid |
| 19.0ms | 10× | 3 | valid |
| 18.0ms | 47× | 1 | valid |
Compiled 244 to 35 computations (85.7% saved)
ival-mult: 18.0ms (25.7% of total)adjust: 17.0ms (24.2% of total)ival-div: 16.0ms (22.8% of total)ival-add: 6.0ms (8.6% of total)ival-sqrt: 6.0ms (8.6% of total)ival-sub: 5.0ms (7.1% of total)exact: 1.0ms (1.4% of total)ival-neg: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal -4 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64))) (patch (/.f64 #s(literal -4 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64)))) (patch (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64)) (patch (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ()) |
#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b)) (patch (*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b)) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (patch (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) 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 #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)) (patch (/.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)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(literal 1 binary64) (-.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 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<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 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>) () ()) |
| Outputs |
|---|
#s(alt (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (taylor 0 b) (#s(alt (/.f64 #s(literal -4 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64))) (patch (/.f64 #s(literal -4 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* (sqrt (* a c)) (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 (* 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 (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 (+ (* -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 (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 (+ (* -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 (* -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>) () ())) ()) |
#s(alt (+ (* -4 (* a c)) (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>) () ())) ()) |
#s(alt (+ (* -4 (* a c)) (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>) () ())) ()) |
#s(alt (+ (* -4 (* a c)) (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>) () ())) ()) |
#s(alt (* -4 (* a c)) (taylor inf 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>) () ())) ()) |
#s(alt (* c (+ (* -4 a) (/ (pow b 2) c))) (taylor inf 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>) () ())) ()) |
#s(alt (* c (+ (* -4 a) (/ (pow b 2) c))) (taylor inf 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>) () ())) ()) |
#s(alt (* c (+ (* -4 a) (/ (pow b 2) c))) (taylor inf 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>) () ())) ()) |
#s(alt (* -4 (* a c)) (taylor -inf 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>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) (taylor -inf 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>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) (taylor -inf 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>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) (taylor -inf 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>) () ())) ()) |
#s(alt (pow b 2) (taylor 0 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 (+ (* -4 (* a c)) (pow b 2)) (taylor 0 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 (+ (* -4 (* a c)) (pow b 2)) (taylor 0 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 (+ (* -4 (* a c)) (pow b 2)) (taylor 0 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 (* -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>) () ())) ()) |
#s(alt (* a (+ (* -4 c) (/ (pow b 2) a))) (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 (+ (* -4 c) (/ (pow b 2) a))) (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 (+ (* -4 c) (/ (pow b 2) a))) (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 (* -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>) () ())) ()) |
#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 (* -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>) () ())) ()) |
159 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | c | @ | 0 | (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) |
| 5.0ms | b | @ | inf | (* b b) |
| 5.0ms | a | @ | 0 | (/ -4 (* (- b (sqrt (+ (* -4 (* a c)) (* b b)))) 2)) |
| 1.0ms | a | @ | -inf | (/ -4 (* (- b (sqrt (+ (* -4 (* a c)) (* b b)))) 2)) |
| 1.0ms | c | @ | -inf | (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) |
| 1× | batch-egg-rewrite |
| 5 946× | lower-fma.f32 |
| 5 942× | lower-fma.f64 |
| 4 906× | lower-/.f32 |
| 4 892× | lower-/.f64 |
| 3 530× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 190 |
| 0 | 57 | 190 |
| 1 | 229 | 182 |
| 2 | 1702 | 182 |
| 0 | 8298 | 180 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -4 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64))) |
(*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64)))) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64)) |
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) |
(/.f64 c b) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 b a) |
(*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b)) |
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 c (*.f64 b b)) |
(*.f64 b b) |
(/.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 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a) |
(/.f64 #s(literal 1 binary64) (-.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 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(neg.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)))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))))) |
(neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))))) |
(/.f64 #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) |
(/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -2 binary64)))) |
(/.f64 #s(literal -4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -2 binary64))) |
(/.f64 #s(literal 4 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -2 binary64))) |
(/.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -2 binary64))))) |
(/.f64 (/.f64 #s(literal -4 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) #s(literal 2 binary64)) |
(/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) |
(/.f64 (neg.f64 (/.f64 #s(literal -4 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -4 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -1/2 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -4 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) #s(literal -2 binary64)) |
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) #s(literal -4 binary64)) |
(*.f64 (/.f64 #s(literal -4 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) |
(*.f64 (neg.f64 (/.f64 #s(literal -4 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -1/2 binary64)) |
(/.f64 c (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) c)))) |
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(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) |
(/.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) |
(/.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (neg.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (neg.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (neg.f64 (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))))) (neg.f64 (neg.f64 (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) (fma.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))))))) |
(pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) |
(*.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))))) |
(*.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (*.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 b b) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (*.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 #s(literal -4 binary64) (*.f64 a c)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 7 296× | lower-*.f64 |
| 7 296× | lower-*.f32 |
| 6 458× | lower-fma.f64 |
| 6 458× | lower-fma.f32 |
| 3 406× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1650 | 12852 |
| 1 | 5622 | 12410 |
| 0 | 8246 | 11985 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (* c (pow (sqrt -4) 2)))))) |
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2)))))))) |
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4))) (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2)))))))) |
(* -1 (/ b (* a c))) |
(* b (- (/ 1 (pow b 2)) (/ 1 (* a c)))) |
(* b (- (+ (* -1 (/ (+ (* -2 (* a c)) (* a c)) (pow b 4))) (/ 1 (pow b 2))) (/ 1 (* a c)))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -2 (* a c)) (* a c))))) (+ (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 2 (* (pow a 2) (pow c 2))))) (pow b 6))) (/ 1 (pow b 2))) (+ (* -2 (/ (* a c) (pow b 4))) (+ (/ 1 (* a c)) (/ (* a c) (pow b 4)))))) |
(/ -1 b) |
(* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b)) |
(* -1 (/ (- (+ 1 (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -1 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1 (* -1 (/ (+ (* -4 (* (pow a 3) (pow c 3))) (* -1 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1 (/ (* a c) (pow b 2))))) b)) |
(* -1 (/ b (* a c))) |
(/ (+ (* -1 (/ b c)) (/ a b)) a) |
(/ (+ (* -1 (/ b c)) (* a (+ (* -1 (* a (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3))))) (/ 1 b)))) a) |
(/ (+ (* -1 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3)))) (pow b 2))) (+ (* -1/4 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (pow c 2) (pow b 5))))))) (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3))))) (/ 1 b)))) a) |
(* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) a) |
(/ (- (+ (* -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))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* (sqrt (/ a c)) (/ (* b (+ (* -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 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (pow a 3))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) a) |
(* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (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)))))))))) (+ (* -1/4 (* (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)))))) a)) (* 1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1))) a)) |
(* -1 (/ b (* a c))) |
(/ (+ (* -1 (/ b a)) (/ c b)) c) |
(/ (+ (* -1 (/ b a)) (* c (+ (* -1 (* c (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) c) |
(/ (+ (* -1 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1/4 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 2 (/ (pow a 2) (pow b 5))))))) (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) c) |
(* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) c) |
(* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) c)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (* 2 (* c (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (* 2 (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))))) (/ 1 b)))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4)))))) (* 2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2)))) (/ 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 (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (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 (+ (* 2 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (/ c b)))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)))))) (* 2 (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))))) (/ c b)))) a) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))))) a) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 2 (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -2 (* (sqrt (* a c)) (sqrt -4))) |
(+ (* -2 (* (sqrt (* a c)) (sqrt -4))) (* 2 b)) |
(+ (* -2 (* (sqrt (* a c)) (sqrt -4))) (* b (+ 2 (* -1 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4))))))) |
(+ (* -2 (* (sqrt (* a c)) (sqrt -4))) (* b (+ 2 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))))) |
(* 4 (/ (* a c) b)) |
(/ (+ (* 4 (* a c)) (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* 4 (* a c)) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 8 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* 4 (* a c)) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 4 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (+ (* 8 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (* 16 (/ (* (pow a 4) (pow c 4)) (pow b 6))))))) b) |
(* 4 b) |
(* -1 (* b (- (* 4 (/ (* a c) (pow b 2))) 4))) |
(* -1 (* b (- (+ (* 4 (/ (* a c) (pow b 2))) (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 4))) |
(* -1 (* b (- (+ (* 4 (/ (* a c) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 8 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) 4))) |
(* 4 (/ (* a c) b)) |
(* a (+ (* 4 (/ c b)) (* 4 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* 4 (/ c b)) (* a (+ (* 4 (/ (pow c 2) (pow b 3))) (* 8 (/ (* a (pow c 3)) (pow b 5))))))) |
(* a (+ (* 4 (/ c b)) (* a (+ (* 4 (/ (pow c 2) (pow b 3))) (* a (+ (* 8 (/ (pow c 3) (pow b 5))) (* a (+ (* 4 (/ (pow c 4) (pow b 7))) (* 16 (/ (pow c 4) (pow b 7))))))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -4))) |
(* a (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (* 2 (/ b a)))) |
(* a (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 2 (/ b a))))) |
(* a (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 2 (/ b a)))))) |
(* 4 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* -2 (/ b a))))) |
(* -1 (* a (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 2 b)) a))))) |
(* -1 (* a (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 2 b)) a))))) |
(* 4 (/ (* a c) b)) |
(* c (+ (* 4 (/ a b)) (* 4 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* 4 (/ a b)) (* c (+ (* 4 (/ (pow a 2) (pow b 3))) (* 8 (/ (* (pow a 3) c) (pow b 5))))))) |
(* c (+ (* 4 (/ a b)) (* c (+ (* 4 (/ (pow a 2) (pow b 3))) (* c (+ (* 8 (/ (pow a 3) (pow b 5))) (* c (+ (* 4 (/ (pow a 4) (pow b 7))) (* 16 (/ (pow a 4) (pow b 7))))))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -4))) |
(* c (+ (* -2 (* (sqrt (/ a c)) (sqrt -4))) (* 2 (/ b c)))) |
(* c (+ (* -2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 2 (/ b c))))) |
(* c (+ (* -2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 2 (/ b c)))))) |
(* 4 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* -4 (* (sqrt (/ a c)) (sqrt -1))) (* -2 (/ b c))))) |
(* -1 (* c (+ (* -4 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 2 b)) c))))) |
(* -1 (* c (+ (* -4 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1))))) c)) (* 2 b)) 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)) |
(* 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)))))) |
(* 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)))))) |
(/ 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) |
(* -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)) |
(/ 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) |
(+ (* -1 (/ c b)) (/ b a)) |
(+ (* -1 (/ c b)) (/ b a)) |
(+ (* -1 (/ c b)) (/ b a)) |
(* -1 (/ c b)) |
(* c (- (/ b (* a c)) (/ 1 b))) |
(* c (- (/ b (* a c)) (/ 1 b))) |
(* c (- (/ b (* a c)) (/ 1 b))) |
(* -1 (/ c b)) |
(* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))) |
(* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))) |
(* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (/ (pow b 2) a)) b) |
(/ (+ (* -1 c) (/ (pow b 2) a)) b) |
(/ (+ (* -1 c) (/ (pow b 2) a)) b) |
(/ b a) |
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))) |
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))) |
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))) |
(/ b a) |
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a)))) |
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a)))) |
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a)))) |
(/ b a) |
(/ (+ b (* -1 (/ (* a c) b))) a) |
(/ (+ b (* -1 (/ (* a c) b))) a) |
(/ (+ b (* -1 (/ (* a c) b))) a) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (/ b a)) |
(+ (* -1 (/ c b)) (/ b a)) |
(+ (* -1 (/ c b)) (/ b a)) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (/ b a)) |
(+ (* -1 (/ c b)) (/ b a)) |
(+ (* -1 (/ c b)) (/ b a)) |
(/ -1 a) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(/ c (pow b 2)) |
(* c (- (/ 1 (pow b 2)) (/ 1 (* a c)))) |
(* c (- (/ 1 (pow b 2)) (/ 1 (* a c)))) |
(* c (- (/ 1 (pow b 2)) (/ 1 (* a c)))) |
(/ c (pow b 2)) |
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2))))) |
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2))))) |
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2))))) |
(/ c (pow b 2)) |
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2)) |
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2)) |
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2)) |
(/ -1 a) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(/ -1 a) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(/ -1 a) |
(/ (- (/ (* a c) (pow b 2)) 1) a) |
(/ (- (/ (* a c) (pow b 2)) 1) a) |
(/ (- (/ (* a c) (pow b 2)) 1) a) |
(/ c (pow b 2)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(/ c (pow b 2)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(/ 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) |
(* -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))))) |
(/ 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 (* (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)))))) |
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(* 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)) |
(* 1/2 (/ 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 (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* -1 (/ b (* a (* c (pow (sqrt -4) 2)))))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (- (* -1 (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* a (* c (pow (sqrt -4) 2))))))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* a (* c (pow (sqrt -4) 2))))))) |
(* 1/2 (/ b (* a c))) |
(* b (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))) |
(* b (- (+ (* -1 (/ (+ (* -1/2 (* a c)) (* a c)) (pow b 4))) (* 1/2 (/ 1 (* a c)))) (* 1/2 (/ 1 (pow b 2))))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a c)) (* a c))))) (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))))) (pow b 6))) (* 1/2 (/ 1 (* a c)))) (+ (* -1/2 (/ (* a c) (pow b 4))) (+ (* 1/2 (/ 1 (pow b 2))) (/ (* a c) (pow b 4)))))) |
(/ 1/2 b) |
(* -1 (/ (- (* -1/2 (/ (* a c) (pow b 2))) 1/2) b)) |
(* -1 (/ (- (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 1/2 (* 1/2 (/ (* a c) (pow b 2))))) b)) |
(* -1 (/ (- (* -1 (/ (+ (* 1/2 (* (pow a 3) (pow c 3))) (* 2 (* (pow a 3) (pow c 3)))) (pow b 6))) (+ 1/2 (+ (* 1/2 (/ (* a c) (pow b 2))) (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(* 1/2 (/ b (* a c))) |
(/ (+ (* -1/2 (/ c b)) (* 1/2 (/ b a))) c) |
(/ (+ (* 1/2 (/ b a)) (* c (- (* -1 (* c (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (* 1/2 (/ 1 b))))) c) |
(/ (+ (* 1/2 (/ b a)) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (* 1/2 (/ 1 b))))) c) |
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(/ (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ b (* a (pow (sqrt -4) 2))))) c) |
(/ (- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2)))) (/ b (* a (pow (sqrt -4) 2)))) c) |
(/ (- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow c 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))) (/ b (* a (pow (sqrt -4) 2)))))) c) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -1))) (* -1/4 (/ b a))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* b c) a))) c)) (* -1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (/ (* b c) a))) c)) (* -1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* 1/2 (/ b (* a c))) |
(/ (+ (* -1/2 (/ a b)) (* 1/2 (/ b c))) a) |
(/ (+ (* 1/2 (/ b c)) (* a (- (* -1 (* a (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3))))) (* 1/2 (/ 1 b))))) a) |
(/ (+ (* 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))))) a) |
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(/ (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) a) |
(/ (- (+ (* -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)))) a) |
(/ (- (+ (* -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)))))) a) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* -1/4 (/ b c))) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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)))) (* 1/8 (* (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)))) 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)))))) |
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)))))))) |
(* (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)))))))) |
(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 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)))) |
(* -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))))) |
(* -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)))))))) |
(* -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)))) |
| Outputs |
|---|
(* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (* c (pow (sqrt -4) 2)))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 a c))) |
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2)))))))) |
(fma.f64 b (fma.f64 b (neg.f64 (neg.f64 (/.f64 (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)))))) (/.f64 #s(literal 2 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) |
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4))) (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2)))))))) |
(fma.f64 b (fma.f64 b (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (neg.f64 (/.f64 (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.f64 #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64)))))) (neg.f64 b) (neg.f64 (neg.f64 (/.f64 (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))))))) (/.f64 #s(literal 2 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) |
(* -1 (/ b (* a c))) |
(/.f64 (neg.f64 b) (*.f64 a c)) |
(* b (- (/ 1 (pow b 2)) (/ 1 (* a c)))) |
(*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a c)))) |
(* b (- (+ (* -1 (/ (+ (* -2 (* a c)) (* a c)) (pow b 4))) (/ 1 (pow b 2))) (/ 1 (* a c)))) |
(*.f64 b (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (neg.f64 (*.f64 a c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 a c)))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -2 (* a c)) (* a c))))) (+ (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 2 (* (pow a 2) (pow c 2))))) (pow b 6))) (/ 1 (pow b 2))) (+ (* -2 (/ (* a c) (pow b 4))) (+ (/ 1 (* a c)) (/ (* a c) (pow b 4)))))) |
(*.f64 b (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (fma.f64 a (neg.f64 (*.f64 c (neg.f64 (*.f64 a c)))) (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 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 a c)))))) |
(/ -1 b) |
(/.f64 #s(literal -1 binary64) b) |
(* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b)) |
(neg.f64 (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)) |
(* -1 (/ (- (+ 1 (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -1 (/ (* a c) (pow b 2)))) b)) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 a c) (*.f64 b b)))) b)) |
(* -1 (/ (- (+ 1 (* -1 (/ (+ (* -4 (* (pow a 3) (pow c 3))) (* -1 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1 (/ (* a c) (pow b 2))))) b)) |
(neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) #s(literal -5 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 a (/.f64 c (*.f64 b b)) (neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64))))))) b)) |
(* -1 (/ b (* a c))) |
(/.f64 (neg.f64 b) (*.f64 a c)) |
(/ (+ (* -1 (/ b c)) (/ a b)) a) |
(/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a) |
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(* 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))))) |
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(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))) |
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
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(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c b)) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 a (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))) b) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(* 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))))) |
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(* 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 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))) |
(* -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 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))) (neg.f64 a)) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c b)) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 c (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b 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 #s(literal -4 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.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 a c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (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)))) (+ (* 1/2 (* (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 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -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 (neg.f64 c) (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.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 2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -1 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)))))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))) |
(+ (* (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 -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (*.f64 b b)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))) |
(+ (* (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 (/.f64 (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)))) #s(literal -1/8 binary64) (*.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 c))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 b (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (*.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)))))) |
(*.f64 b (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))) |
(* 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 b (*.f64 b (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64)))))) |
(* -1 b) |
(neg.f64 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a 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))))))) |
(*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))) |
(* -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) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64)))))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(* -4 (* a c)) |
(*.f64 a (*.f64 c #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 a (*.f64 c #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 b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(* -4 (* a c)) |
(*.f64 a (*.f64 c #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)) |
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(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
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(* -4 (* a c)) |
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(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #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 a c) (*.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 a c) (*.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 a 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 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.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 a c) (*.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 a c) (*.f64 b b)) #s(literal 1 binary64))) |
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(neg.f64 b) |
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(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 a c))) |
(+ (* 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) |
(neg.f64 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a 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 #s(literal -2 binary64) (*.f64 a (/.f64 c b)) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 c (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b 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 a c))) |
(* 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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(* 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 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
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(* -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))))))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c b)) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 a (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))) b) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
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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))))) |
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(* 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 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))) |
(* -1 (* a (+ (* 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 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/512 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)) (sqrt.f64 #s(literal -1 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 c (*.f64 a (*.f64 a a)))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))))) (neg.f64 a)) |
(* -4 (* a c)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #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 a c) (*.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 a c) (*.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 a 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 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.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 a c) (*.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 a c) (*.f64 b b)) #s(literal 1 binary64))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(* -4 (* a c)) |
(*.f64 a (*.f64 c #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 a (*.f64 c #s(literal -4 binary64))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (neg.f64 c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (neg.f64 c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (neg.f64 c) (-.f64 (*.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 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(* -4 (* a c)) |
(*.f64 a (*.f64 c #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 a (*.f64 c #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)) |
Compiled 42 608 to 5 000 computations (88.3% saved)
44 alts after pruning (38 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 620 | 9 | 1 629 |
| Fresh | 7 | 29 | 36 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 630 | 44 | 1 674 |
| Status | Accuracy | Program |
|---|---|---|
| 40.1% | (fma.f64 b (/.f64 #s(literal -1 binary64) a) (/.f64 c b)) | |
| 26.2% | (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) | |
| 3.0% | (/.f64 (fma.f64 c (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (fma.f64 a (/.f64 (fma.f64 (/.f64 b a) #s(literal -2 binary64) (/.f64 (neg.f64 b) a)) (*.f64 b b)) (/.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 b a) #s(literal -2 binary64) (/.f64 (neg.f64 b) a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))) (*.f64 a a))) c) | |
| 8.6% | (/.f64 (/.f64 (neg.f64 c) (*.f64 b a)) (/.f64 #s(literal -1 binary64) a)) | |
| 27.5% | (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (*.f64 b a)) | |
| 34.2% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) | |
| ✓ | 56.7% | (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
| 34.2% | (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal -2 binary64))) | |
| 24.2% | (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) c) (/.f64 b a)) | |
| 22.3% | (/.f64 (*.f64 c (/.f64 a (neg.f64 b))) a) | |
| 29.3% | (/.f64 (neg.f64 c) b) | |
| 47.9% | (/.f64 c (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -1/2 binary64))) | |
| ✓ | 8.8% | (/.f64 c b) |
| ✓ | 2.6% | (/.f64 b a) |
| 28.8% | (/.f64 a (*.f64 b (/.f64 a (neg.f64 c)))) | |
| 2.6% | (/.f64 #s(literal 1 binary64) (/.f64 a b)) | |
| 25.8% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) | |
| 2.6% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a)) | |
| 28.8% | (/.f64 #s(literal -1 binary64) (/.f64 b c)) | |
| 40.0% | (/.f64 #s(literal -1 binary64) (/.f64 a b)) | |
| ✓ | 40.2% | (-.f64 (/.f64 c b) (/.f64 b a)) |
| 8.6% | (*.f64 (/.f64 (neg.f64 c) (*.f64 b a)) (neg.f64 a)) | |
| 19.8% | (*.f64 (/.f64 c (*.f64 b b)) (neg.f64 b)) | |
| 8.7% | (*.f64 (/.f64 c a) (/.f64 a b)) | |
| 8.8% | (*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64))) | |
| 8.8% | (*.f64 (/.f64 #s(literal 1 binary64) b) c) | |
| 2.6% | (*.f64 (/.f64 #s(literal 1 binary64) a) b) | |
| ✓ | 56.6% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
| 34.2% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))) | |
| 29.2% | (*.f64 (/.f64 #s(literal -1 binary64) b) c) | |
| 47.8% | (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) c) | |
| 26.0% | (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 b (*.f64 a #s(literal 2 binary64))))) | |
| 5.5% | (*.f64 (*.f64 b (*.f64 b b)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 a a)))) (/.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 b b))))) | |
| 5.6% | (*.f64 (*.f64 b (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 a a))) (/.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 b b))))) | |
| 30.4% | (*.f64 (*.f64 a (/.f64 c a)) (/.f64 #s(literal -1 binary64) b)) | |
| 2.2% | (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))) | |
| 32.1% | (*.f64 c (/.f64 (neg.f64 b) (*.f64 a c))) | |
| 30.8% | (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)))) | |
| 25.5% | (*.f64 c (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 a b))) | |
| 40.0% | (*.f64 b (/.f64 #s(literal -1 binary64) a)) | |
| 22.7% | (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 c a) (*.f64 a b))) | |
| ✓ | 40.1% | (neg.f64 (/.f64 b a)) |
| 17.7% | (exp.f64 (*.f64 (log.f64 (/.f64 b (neg.f64 c))) #s(literal -1 binary64))) | |
| 3.3% | (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))) |
Compiled 1 621 to 651 computations (59.8% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 c b) |
(neg.f64 (/.f64 b a)) |
(/.f64 c (neg.f64 b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 b (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) b) c) |
(*.f64 (/.f64 #s(literal 1 binary64) a) b) |
(*.f64 (/.f64 #s(literal 1 binary64) b) c) |
(/.f64 #s(literal -1 binary64) (/.f64 a b)) |
(/.f64 #s(literal -1 binary64) (/.f64 b c)) |
(/.f64 #s(literal 1 binary64) (/.f64 a b)) |
(*.f64 c (/.f64 (neg.f64 b) (*.f64 a c))) |
(*.f64 (/.f64 c (*.f64 b b)) (neg.f64 b)) |
(*.f64 (/.f64 (neg.f64 c) (*.f64 b a)) (neg.f64 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 c a) (*.f64 a b))) |
(*.f64 (/.f64 c a) (/.f64 a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 #s(literal -1/2 binary64) c))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)) |
(fma.f64 b (/.f64 #s(literal -1 binary64) a) (/.f64 c b)) |
(/.f64 a (*.f64 b (/.f64 a (neg.f64 c)))) |
(/.f64 (*.f64 c (/.f64 a (neg.f64 b))) a) |
(/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (*.f64 b a)) |
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 b (*.f64 a #s(literal 2 binary64))))) |
(*.f64 c (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 a b))) |
(*.f64 (*.f64 a (/.f64 c a)) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 #s(literal 1 binary64) (/.f64 c #s(literal 2 binary64)))) |
(*.f64 (/.f64 a b) (*.f64 #s(literal -1 binary64) (/.f64 c a))) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b)) |
(/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 c a)) (/.f64 b a)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) c) (/.f64 b a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (/.f64 (neg.f64 c) (*.f64 b a)) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))) |
(*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) c) |
(*.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 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
(/.f64 c (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -1/2 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 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64)))) |
(/.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 c (*.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #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 a #s(literal 4 binary64)) (/.f64 c (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))))) |
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 a a))) (/.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 b b))))) |
(/.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
(/.f64 (*.f64 (/.f64 (*.f64 a c) a) #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(*.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (/.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)))))))) |
(*.f64 (/.f64 (*.f64 a c) (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 c (*.f64 a #s(literal 4 binary64)))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 a #s(literal -2 binary64))) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c 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 c (*.f64 a #s(literal 4 binary64))) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
(/.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 (-.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 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))))))) |
(*.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 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 (-.f64 (*.f64 b (/.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.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 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) c) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 c (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (fma.f64 a (/.f64 (fma.f64 (/.f64 b a) #s(literal -2 binary64) (/.f64 (neg.f64 b) a)) (*.f64 b b)) (/.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 b a) #s(literal -2 binary64) (/.f64 (neg.f64 b) a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))) (*.f64 a a))) c) |
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 a a)))) (/.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 b b))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 b (neg.f64 c))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 b (*.f64 c #s(literal -2 binary64)))))) #s(literal -1 binary64))) |
| Outputs |
|---|
(/.f64 c (neg.f64 b)) |
(/.f64 c (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -1/2 binary64))) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
(neg.f64 (/.f64 b a)) |
4 calls:
| 33.0ms | a |
| 25.0ms | b |
| 25.0ms | c |
| 24.0ms | (/.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 |
|---|---|---|
| 56.7% | 1 | a |
| 90.9% | 4 | b |
| 56.7% | 1 | c |
| 78.7% | 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 |
|---|
(/.f64 b a) |
(/.f64 c b) |
(neg.f64 (/.f64 b a)) |
(/.f64 c (neg.f64 b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 b (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) b) c) |
(*.f64 (/.f64 #s(literal 1 binary64) a) b) |
(*.f64 (/.f64 #s(literal 1 binary64) b) c) |
(/.f64 #s(literal -1 binary64) (/.f64 a b)) |
(/.f64 #s(literal -1 binary64) (/.f64 b c)) |
(/.f64 #s(literal 1 binary64) (/.f64 a b)) |
(*.f64 c (/.f64 (neg.f64 b) (*.f64 a c))) |
(*.f64 (/.f64 c (*.f64 b b)) (neg.f64 b)) |
(*.f64 (/.f64 (neg.f64 c) (*.f64 b a)) (neg.f64 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 c a) (*.f64 a b))) |
(*.f64 (/.f64 c a) (/.f64 a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 #s(literal -1/2 binary64) c))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)) |
(fma.f64 b (/.f64 #s(literal -1 binary64) a) (/.f64 c b)) |
(/.f64 a (*.f64 b (/.f64 a (neg.f64 c)))) |
(/.f64 (*.f64 c (/.f64 a (neg.f64 b))) a) |
(/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (*.f64 b a)) |
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 b (*.f64 a #s(literal 2 binary64))))) |
(*.f64 c (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 a b))) |
(*.f64 (*.f64 a (/.f64 c a)) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 #s(literal 1 binary64) (/.f64 c #s(literal 2 binary64)))) |
(*.f64 (/.f64 a b) (*.f64 #s(literal -1 binary64) (/.f64 c a))) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b)) |
(/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 c a)) (/.f64 b a)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) c) (/.f64 b a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (/.f64 (neg.f64 c) (*.f64 b a)) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))) |
(*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) c) |
(*.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 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
(/.f64 c (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -1/2 binary64))) |
| Outputs |
|---|
(/.f64 c (neg.f64 b)) |
(/.f64 c (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(neg.f64 (/.f64 b a)) |
1 calls:
| 16.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.8% | 4 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 c b) |
(neg.f64 (/.f64 b a)) |
(/.f64 c (neg.f64 b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 b (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) b) c) |
(*.f64 (/.f64 #s(literal 1 binary64) a) b) |
(*.f64 (/.f64 #s(literal 1 binary64) b) c) |
(/.f64 #s(literal -1 binary64) (/.f64 a b)) |
(/.f64 #s(literal -1 binary64) (/.f64 b c)) |
(/.f64 #s(literal 1 binary64) (/.f64 a b)) |
(*.f64 c (/.f64 (neg.f64 b) (*.f64 a c))) |
(*.f64 (/.f64 c (*.f64 b b)) (neg.f64 b)) |
(*.f64 (/.f64 (neg.f64 c) (*.f64 b a)) (neg.f64 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 c a) (*.f64 a b))) |
(*.f64 (/.f64 c a) (/.f64 a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 #s(literal -1/2 binary64) c))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)) |
(fma.f64 b (/.f64 #s(literal -1 binary64) a) (/.f64 c b)) |
(/.f64 a (*.f64 b (/.f64 a (neg.f64 c)))) |
(/.f64 (*.f64 c (/.f64 a (neg.f64 b))) a) |
(/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (*.f64 b a)) |
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 b (*.f64 a #s(literal 2 binary64))))) |
(*.f64 c (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 a b))) |
(*.f64 (*.f64 a (/.f64 c a)) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 #s(literal 1 binary64) (/.f64 c #s(literal 2 binary64)))) |
(*.f64 (/.f64 a b) (*.f64 #s(literal -1 binary64) (/.f64 c a))) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b)) |
(/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 c a)) (/.f64 b a)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) c) (/.f64 b a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (/.f64 (neg.f64 c) (*.f64 b a)) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))) |
(*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) c) |
(*.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 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
| Outputs |
|---|
(/.f64 c (neg.f64 b)) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) c) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(neg.f64 (/.f64 b a)) |
1 calls:
| 16.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.8% | 4 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 c b) |
(neg.f64 (/.f64 b a)) |
(/.f64 c (neg.f64 b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 b (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) b) c) |
(*.f64 (/.f64 #s(literal 1 binary64) a) b) |
(*.f64 (/.f64 #s(literal 1 binary64) b) c) |
(/.f64 #s(literal -1 binary64) (/.f64 a b)) |
(/.f64 #s(literal -1 binary64) (/.f64 b c)) |
(/.f64 #s(literal 1 binary64) (/.f64 a b)) |
(*.f64 c (/.f64 (neg.f64 b) (*.f64 a c))) |
(*.f64 (/.f64 c (*.f64 b b)) (neg.f64 b)) |
(*.f64 (/.f64 (neg.f64 c) (*.f64 b a)) (neg.f64 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 c a) (*.f64 a b))) |
(*.f64 (/.f64 c a) (/.f64 a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 #s(literal -1/2 binary64) c))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)) |
(fma.f64 b (/.f64 #s(literal -1 binary64) a) (/.f64 c b)) |
(/.f64 a (*.f64 b (/.f64 a (neg.f64 c)))) |
(/.f64 (*.f64 c (/.f64 a (neg.f64 b))) a) |
(/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (*.f64 b a)) |
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 b (*.f64 a #s(literal 2 binary64))))) |
(*.f64 c (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 a b))) |
(*.f64 (*.f64 a (/.f64 c a)) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 #s(literal 1 binary64) (/.f64 c #s(literal 2 binary64)))) |
(*.f64 (/.f64 a b) (*.f64 #s(literal -1 binary64) (/.f64 c a))) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b)) |
(/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 c a)) (/.f64 b a)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) c) (/.f64 b a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (/.f64 (neg.f64 c) (*.f64 b a)) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))) |
(*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) c) |
| Outputs |
|---|
(/.f64 c (neg.f64 b)) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) c) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
1 calls:
| 16.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.8% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 c b) |
(neg.f64 (/.f64 b a)) |
(/.f64 c (neg.f64 b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 b (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) b) c) |
(*.f64 (/.f64 #s(literal 1 binary64) a) b) |
(*.f64 (/.f64 #s(literal 1 binary64) b) c) |
(/.f64 #s(literal -1 binary64) (/.f64 a b)) |
(/.f64 #s(literal -1 binary64) (/.f64 b c)) |
(/.f64 #s(literal 1 binary64) (/.f64 a b)) |
(*.f64 c (/.f64 (neg.f64 b) (*.f64 a c))) |
(*.f64 (/.f64 c (*.f64 b b)) (neg.f64 b)) |
(*.f64 (/.f64 (neg.f64 c) (*.f64 b a)) (neg.f64 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 c a) (*.f64 a b))) |
(*.f64 (/.f64 c a) (/.f64 a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 #s(literal -1/2 binary64) c))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)) |
(fma.f64 b (/.f64 #s(literal -1 binary64) a) (/.f64 c b)) |
(/.f64 a (*.f64 b (/.f64 a (neg.f64 c)))) |
(/.f64 (*.f64 c (/.f64 a (neg.f64 b))) a) |
(/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (*.f64 b a)) |
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 b (*.f64 a #s(literal 2 binary64))))) |
(*.f64 c (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 a b))) |
(*.f64 (*.f64 a (/.f64 c a)) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 #s(literal 1 binary64) (/.f64 c #s(literal 2 binary64)))) |
(*.f64 (/.f64 a b) (*.f64 #s(literal -1 binary64) (/.f64 c a))) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b)) |
(/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 c a)) (/.f64 b a)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) c) (/.f64 b a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (/.f64 (neg.f64 c) (*.f64 b a)) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))) |
(*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)))) |
| Outputs |
|---|
(/.f64 c (neg.f64 b)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
1 calls:
| 21.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.2% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 c b) |
(neg.f64 (/.f64 b a)) |
(/.f64 c (neg.f64 b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 b (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) b) c) |
(*.f64 (/.f64 #s(literal 1 binary64) a) b) |
(*.f64 (/.f64 #s(literal 1 binary64) b) c) |
(/.f64 #s(literal -1 binary64) (/.f64 a b)) |
(/.f64 #s(literal -1 binary64) (/.f64 b c)) |
(/.f64 #s(literal 1 binary64) (/.f64 a b)) |
(*.f64 c (/.f64 (neg.f64 b) (*.f64 a c))) |
(*.f64 (/.f64 c (*.f64 b b)) (neg.f64 b)) |
(*.f64 (/.f64 (neg.f64 c) (*.f64 b a)) (neg.f64 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 c a) (*.f64 a b))) |
(*.f64 (/.f64 c a) (/.f64 a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 #s(literal -1/2 binary64) c))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)) |
(fma.f64 b (/.f64 #s(literal -1 binary64) a) (/.f64 c b)) |
(/.f64 a (*.f64 b (/.f64 a (neg.f64 c)))) |
(/.f64 (*.f64 c (/.f64 a (neg.f64 b))) a) |
(/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (*.f64 b a)) |
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 b (*.f64 a #s(literal 2 binary64))))) |
(*.f64 c (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 a b))) |
(*.f64 (*.f64 a (/.f64 c a)) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 #s(literal 1 binary64) (/.f64 c #s(literal 2 binary64)))) |
(*.f64 (/.f64 a b) (*.f64 #s(literal -1 binary64) (/.f64 c a))) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b)) |
(/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 c a)) (/.f64 b a)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) c) (/.f64 b a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (/.f64 (neg.f64 c) (*.f64 b a)) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) |
| Outputs |
|---|
(/.f64 c (neg.f64 b)) |
(/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal -2 binary64))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
1 calls:
| 15.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.1% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 c b) |
(neg.f64 (/.f64 b a)) |
(/.f64 c (neg.f64 b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 b (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) b) c) |
(*.f64 (/.f64 #s(literal 1 binary64) a) b) |
(*.f64 (/.f64 #s(literal 1 binary64) b) c) |
(/.f64 #s(literal -1 binary64) (/.f64 a b)) |
(/.f64 #s(literal -1 binary64) (/.f64 b c)) |
(/.f64 #s(literal 1 binary64) (/.f64 a b)) |
(*.f64 c (/.f64 (neg.f64 b) (*.f64 a c))) |
(*.f64 (/.f64 c (*.f64 b b)) (neg.f64 b)) |
(*.f64 (/.f64 (neg.f64 c) (*.f64 b a)) (neg.f64 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 c a) (*.f64 a b))) |
(*.f64 (/.f64 c a) (/.f64 a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 #s(literal -1/2 binary64) c))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)) |
(fma.f64 b (/.f64 #s(literal -1 binary64) a) (/.f64 c b)) |
(/.f64 a (*.f64 b (/.f64 a (neg.f64 c)))) |
(/.f64 (*.f64 c (/.f64 a (neg.f64 b))) a) |
(/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (*.f64 b a)) |
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 b (*.f64 a #s(literal 2 binary64))))) |
(*.f64 c (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 a b))) |
(*.f64 (*.f64 a (/.f64 c a)) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 #s(literal 1 binary64) (/.f64 c #s(literal 2 binary64)))) |
(*.f64 (/.f64 a b) (*.f64 #s(literal -1 binary64) (/.f64 c a))) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b)) |
(/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 c a)) (/.f64 b a)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) c) (/.f64 b a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
| Outputs |
|---|
(/.f64 c (neg.f64 b)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
1 calls:
| 12.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.1% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 c b) |
(neg.f64 (/.f64 b a)) |
(/.f64 c (neg.f64 b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 b (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) b) c) |
(*.f64 (/.f64 #s(literal 1 binary64) a) b) |
(*.f64 (/.f64 #s(literal 1 binary64) b) c) |
(/.f64 #s(literal -1 binary64) (/.f64 a b)) |
(/.f64 #s(literal -1 binary64) (/.f64 b c)) |
(/.f64 #s(literal 1 binary64) (/.f64 a b)) |
(*.f64 c (/.f64 (neg.f64 b) (*.f64 a c))) |
(*.f64 (/.f64 c (*.f64 b b)) (neg.f64 b)) |
(*.f64 (/.f64 (neg.f64 c) (*.f64 b a)) (neg.f64 a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 c a) (*.f64 a b))) |
(*.f64 (/.f64 c a) (/.f64 a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 #s(literal -1/2 binary64) c))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)) |
(fma.f64 b (/.f64 #s(literal -1 binary64) a) (/.f64 c b)) |
(/.f64 a (*.f64 b (/.f64 a (neg.f64 c)))) |
(/.f64 (*.f64 c (/.f64 a (neg.f64 b))) a) |
(/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (*.f64 b a)) |
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 b (*.f64 a #s(literal 2 binary64))))) |
(*.f64 c (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 a b))) |
(*.f64 (*.f64 a (/.f64 c a)) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 #s(literal 1 binary64) (/.f64 c #s(literal 2 binary64)))) |
(*.f64 (/.f64 a b) (*.f64 #s(literal -1 binary64) (/.f64 c a))) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b)) |
(/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 c a)) (/.f64 b a)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) c) (/.f64 b a)) |
| Outputs |
|---|
(/.f64 c (neg.f64 b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
2 calls:
| 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)) |
| 11.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.0% | 3 | (/.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)) |
| 67.1% | 2 | b |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 c b) |
(neg.f64 (/.f64 b a)) |
(/.f64 c (neg.f64 b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 b (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) b) c) |
(*.f64 (/.f64 #s(literal 1 binary64) a) b) |
(*.f64 (/.f64 #s(literal 1 binary64) b) c) |
(/.f64 #s(literal -1 binary64) (/.f64 a b)) |
(/.f64 #s(literal -1 binary64) (/.f64 b c)) |
(/.f64 #s(literal 1 binary64) (/.f64 a b)) |
(*.f64 c (/.f64 (neg.f64 b) (*.f64 a c))) |
(*.f64 (/.f64 c (*.f64 b b)) (neg.f64 b)) |
(*.f64 (/.f64 (neg.f64 c) (*.f64 b a)) (neg.f64 a)) |
| Outputs |
|---|
(/.f64 c (neg.f64 b)) |
(neg.f64 (/.f64 b a)) |
1 calls:
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.8% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 c b) |
(neg.f64 (/.f64 b a)) |
| Outputs |
|---|
(/.f64 c b) |
(neg.f64 (/.f64 b a)) |
4 calls:
| 13.0ms | c |
| 2.0ms | a |
| 2.0ms | b |
| 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 |
|---|---|---|
| 40.1% | 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)) |
| 40.1% | 1 | a |
| 40.1% | 1 | c |
| 46.1% | 2 | b |
Compiled 32 to 23 computations (28.1% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 c b) |
| Outputs |
|---|
(/.f64 c b) |
4 calls:
| 2.0ms | c |
| 2.0ms | a |
| 2.0ms | b |
| 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 |
|---|---|---|
| 8.8% | 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)) |
| 8.8% | 1 | a |
| 8.8% | 1 | c |
| 8.8% | 1 | b |
Compiled 32 to 23 computations (28.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(/.f64 b a) |
| Outputs |
|---|
(/.f64 b a) |
4 calls:
| 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)) |
| 1.0ms | b |
| 1.0ms | c |
| 1.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 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 | b |
| 2.6% | 1 | a |
| 2.6% | 1 | c |
Compiled 32 to 23 computations (28.1% saved)
| 3× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 1.6974079397096342e+127 | 5.953308210668466e+127 |
| 21.0ms | -2.0458237679025894e-271 | -5.295769139589146e-275 |
| 3.0ms | -1.457323462714395e+104 | -2.0657301720397868e+102 |
| 17.0ms | 208× | 0 | valid |
| 4.0ms | 53× | 0 | invalid |
| 1.0ms | 7× | 2 | valid |
| 1.0ms | 9× | 1 | valid |
Compiled 489 to 342 computations (30.1% saved)
ival-mult: 6.0ms (36.9% of total)ival-div: 3.0ms (18.5% of total)ival-sub: 3.0ms (18.5% of total)ival-sqrt: 2.0ms (12.3% of total)ival-neg: 1.0ms (6.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6974079397096342e+127 | 5.953308210668466e+127 |
| 34.0ms | -3.946179341555548e-208 | -6.887620797097765e-234 |
| 0.0ms | -1.457323462714395e+104 | -2.0657301720397868e+102 |
| 18.0ms | 166× | 0 | valid |
| 6.0ms | 72× | 0 | invalid |
| 1.0ms | 10× | 1 | valid |
Compiled 603 to 420 computations (30.3% saved)
ival-mult: 6.0ms (46% of total)ival-div: 2.0ms (15.3% of total)ival-sub: 2.0ms (15.3% of total)ival-sqrt: 2.0ms (15.3% of total)ival-neg: 1.0ms (7.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6974079397096342e+127 | 5.953308210668466e+127 |
| 23.0ms | -3.946179341555548e-208 | -6.887620797097765e-234 |
| 22.0ms | -1.457323462714395e+104 | -2.0657301720397868e+102 |
| 11.0ms | 35× | 2 | valid |
| 9.0ms | 124× | 0 | valid |
| 8.0ms | 55× | 0 | invalid |
| 6.0ms | 46× | 1 | valid |
| 1.0ms | 3× | 3 | valid |
Compiled 765 to 534 computations (30.2% saved)
ival-sqrt: 7.0ms (25.8% of total)ival-sub: 7.0ms (25.8% of total)ival-mult: 6.0ms (22.1% of total)ival-div: 3.0ms (11.1% of total)adjust: 2.0ms (7.4% of total)ival-neg: 1.0ms (3.7% 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 |
|---|---|---|
| 31.0ms | 1.6860532760575644e-140 | 4.407251391359804e-115 |
| 1.0ms | -1.457323462714395e+104 | -2.0657301720397868e+102 |
| 20.0ms | 176× | 0 | valid |
| 4.0ms | 48× | 0 | invalid |
Compiled 542 to 373 computations (31.2% saved)
ival-sub: 9.0ms (49.9% of total)ival-mult: 5.0ms (27.7% of total)ival-div: 1.0ms (5.5% of total)ival-sqrt: 1.0ms (5.5% of total)ival-neg: 1.0ms (5.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.6860532760575644e-140 | 4.407251391359804e-115 |
| 35.0ms | -8.897038442428587e-94 | -2.3160884931781655e-119 |
| 12.0ms | 105× | 0 | valid |
| 7.0ms | 53× | 1 | valid |
| 4.0ms | 54× | 0 | invalid |
| 3.0ms | 18× | 2 | valid |
Compiled 606 to 449 computations (25.9% saved)
ival-mult: 6.0ms (38% of total)ival-sub: 3.0ms (19% of total)adjust: 2.0ms (12.7% of total)ival-div: 2.0ms (12.7% of total)ival-sqrt: 2.0ms (12.7% of total)ival-neg: 1.0ms (6.3% 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 | 1.6860532760575644e-140 | 4.407251391359804e-115 |
| 1.0ms | -8.897038442428587e-94 | -2.3160884931781655e-119 |
Compiled 584 to 427 computations (26.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.6860532760575644e-140 | 4.407251391359804e-115 |
| 1.0ms | -8.897038442428587e-94 | -2.3160884931781655e-119 |
Compiled 584 to 427 computations (26.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 67.0ms | -1.6915371682159614e-306 | 9.105731007114016e-308 |
| 51.0ms | 78× | 0 | invalid |
| 10.0ms | 128× | 0 | valid |
Compiled 175 to 124 computations (29.1% saved)
ival-neg: 46.0ms (83.1% of total)ival-mult: 5.0ms (9% of total)ival-sub: 2.0ms (3.6% of total)ival-div: 1.0ms (1.8% of total)ival-sqrt: 1.0ms (1.8% 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 | -3.6655972263855825e-298 | -2.3120684224813496e-301 |
| 10.0ms | 128× | 0 | valid |
| 4.0ms | 55× | 0 | invalid |
Compiled 151 to 116 computations (23.2% saved)
ival-mult: 4.0ms (42.3% of total)ival-sub: 2.0ms (21.2% of total)ival-div: 1.0ms (10.6% of total)ival-sqrt: 1.0ms (10.6% of total)ival-neg: 1.0ms (10.6% 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 |
|---|---|---|
| 31.0ms | -9.511281619041041e-7 | -1.81623648243087e-20 |
| 10.0ms | 53× | 2 | valid |
| 6.0ms | 44× | 1 | valid |
| 5.0ms | 63× | 0 | valid |
| 2.0ms | 23× | 0 | invalid |
Compiled 173 to 130 computations (24.9% saved)
ival-mult: 5.0ms (30.2% of total)adjust: 3.0ms (18.1% of total)ival-sub: 3.0ms (18.1% of total)ival-div: 2.0ms (12.1% of total)ival-sqrt: 2.0ms (12.1% of total)ival-neg: 1.0ms (6% 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 |
| 42× | *-commutative_binary64 |
| 36× | +-commutative_binary64 |
| 28× | sub-neg_binary64 |
| 22× | neg-sub0_binary64 |
| 22× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 322 |
| 1 | 115 | 322 |
| 2 | 134 | 322 |
| 3 | 153 | 322 |
| 4 | 165 | 322 |
| 5 | 176 | 322 |
| 6 | 181 | 322 |
| 7 | 184 | 322 |
| 8 | 185 | 322 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b #s(literal -100000000000000000191567508573466873621595512726519201115280351459937932420398875596123614510818032353280 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal -5457375846383999/77962512091199992642827059103001506487009814860760060214943251657703589526131408819724920527056082073802439329851269345467673358921624752372623898370501227356250221599651784238966317243920429186822396747833747030989484783403158999565970908923751724902621910424834220376654628719935312887808 binary64)) (/.f64 c (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -1/2 binary64))) (if (<=.f64 b #s(literal 17999999999999998948233159736922529935657592046062231809993433760320239050097518834979698102400598530881012844696193569178779648 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (neg.f64 (/.f64 b a))))) |
(if (<=.f64 b #s(literal -100000000000000000191567508573466873621595512726519201115280351459937932420398875596123614510818032353280 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal -3132380116083199/447482873726171268819043498963669351417527174565166445772522651598610375083639127489770066653509818366083742331546870626162450949329271510944453531899446556570513661062175189097918769710609043378828750128621019491811414900105274743989981048538660864 binary64)) (/.f64 c (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -1/2 binary64))) (if (<=.f64 b #s(literal 16999999999999998873058672820404321308186162981709823596510524657962473124855103630315157001302840495452746889657341042852102144 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 b a))))) |
(if (<=.f64 b #s(literal -16200000000000000747179396818994398230448910393118120325332274084690658166372744572721701248800582008832 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal -8250465484326283/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) c) (if (<=.f64 b #s(literal 16999999999999998873058672820404321308186162981709823596510524657962473124855103630315157001302840495452746889657341042852102144 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 b a))))) |
(if (<=.f64 b #s(literal -16200000000000000747179396818994398230448910393118120325332274084690658166372744572721701248800582008832 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 2439949330826317/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) c) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -3174478038283735/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 2439949330826317/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -3174478038283735/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 2439949330826317/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal -2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -3174478038283735/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 2439949330826317/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c (neg.f64 b)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(if (<=.f64 b #s(literal -1628655445366319/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312 binary64)) (/.f64 c (neg.f64 b)) (neg.f64 (/.f64 b a))) |
(if (<=.f64 b #s(literal -6653927711158919/154742504910672534362390528 binary64)) (/.f64 c b) (neg.f64 (/.f64 b a))) |
(/.f64 c b) |
(/.f64 b a) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -100000000000000000191567508573466873621595512726519201115280351459937932420398875596123614510818032353280 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal -5457375846383999/77962512091199992642827059103001506487009814860760060214943251657703589526131408819724920527056082073802439329851269345467673358921624752372623898370501227356250221599651784238966317243920429186822396747833747030989484783403158999565970908923751724902621910424834220376654628719935312887808 binary64)) (/.f64 c (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -1/2 binary64))) (if (<=.f64 b #s(literal 17999999999999998948233159736922529935657592046062231809993433760320239050097518834979698102400598530881012844696193569178779648 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (neg.f64 (/.f64 b a))))) |
(if (<=.f64 b #s(literal -100000000000000000191567508573466873621595512726519201115280351459937932420398875596123614510818032353280 binary64)) (neg.f64 (/.f64 c b)) (if (<=.f64 b #s(literal -5457375846383999/77962512091199992642827059103001506487009814860760060214943251657703589526131408819724920527056082073802439329851269345467673358921624752372623898370501227356250221599651784238966317243920429186822396747833747030989484783403158999565970908923751724902621910424834220376654628719935312887808 binary64)) (/.f64 c (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64))) (if (<=.f64 b #s(literal 17999999999999998948233159736922529935657592046062231809993433760320239050097518834979698102400598530881012844696193569178779648 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (*.f64 a #s(literal -2 binary64))) (neg.f64 (/.f64 b a))))) |
(if (<=.f64 b #s(literal -100000000000000000191567508573466873621595512726519201115280351459937932420398875596123614510818032353280 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal -3132380116083199/447482873726171268819043498963669351417527174565166445772522651598610375083639127489770066653509818366083742331546870626162450949329271510944453531899446556570513661062175189097918769710609043378828750128621019491811414900105274743989981048538660864 binary64)) (/.f64 c (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -1/2 binary64))) (if (<=.f64 b #s(literal 16999999999999998873058672820404321308186162981709823596510524657962473124855103630315157001302840495452746889657341042852102144 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 b a))))) |
(if (<=.f64 b #s(literal -100000000000000000191567508573466873621595512726519201115280351459937932420398875596123614510818032353280 binary64)) (neg.f64 (/.f64 c b)) (if (<=.f64 b #s(literal -3132380116083199/447482873726171268819043498963669351417527174565166445772522651598610375083639127489770066653509818366083742331546870626162450949329271510944453531899446556570513661062175189097918769710609043378828750128621019491811414900105274743989981048538660864 binary64)) (/.f64 c (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64))) (if (<=.f64 b #s(literal 16999999999999998873058672820404321308186162981709823596510524657962473124855103630315157001302840495452746889657341042852102144 binary64)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 (/.f64 b a))))) |
(if (<=.f64 b #s(literal -16200000000000000747179396818994398230448910393118120325332274084690658166372744572721701248800582008832 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal -8250465484326283/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) c) (if (<=.f64 b #s(literal 16999999999999998873058672820404321308186162981709823596510524657962473124855103630315157001302840495452746889657341042852102144 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 b a))))) |
(if (<=.f64 b #s(literal -16200000000000000747179396818994398230448910393118120325332274084690658166372744572721701248800582008832 binary64)) (neg.f64 (/.f64 c b)) (if (<=.f64 b #s(literal -8250465484326283/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304 binary64)) (*.f64 c (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (if (<=.f64 b #s(literal 16999999999999998873058672820404321308186162981709823596510524657962473124855103630315157001302840495452746889657341042852102144 binary64)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 (/.f64 b a))))) |
(if (<=.f64 b #s(literal -16200000000000000747179396818994398230448910393118120325332274084690658166372744572721701248800582008832 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 2439949330826317/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) c) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -16200000000000000747179396818994398230448910393118120325332274084690658166372744572721701248800582008832 binary64)) (neg.f64 (/.f64 c b)) (if (<=.f64 b #s(literal 2439949330826317/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (*.f64 c (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -3174478038283735/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 2439949330826317/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -3174478038283735/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (neg.f64 (/.f64 c b)) (if (<=.f64 b #s(literal 2439949330826317/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (*.f64 a #s(literal 2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -3174478038283735/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 2439949330826317/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal -2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -3174478038283735/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (neg.f64 (/.f64 c b)) (if (<=.f64 b #s(literal 2439949330826317/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal -2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -3174478038283735/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 2439949330826317/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -3174478038283735/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (neg.f64 (/.f64 c b)) (if (<=.f64 b #s(literal 2439949330826317/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c (neg.f64 b)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (neg.f64 (/.f64 c b)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(if (<=.f64 b #s(literal -1628655445366319/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312 binary64)) (/.f64 c (neg.f64 b)) (neg.f64 (/.f64 b a))) |
(if (<=.f64 b #s(literal -1628655445366319/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312 binary64)) (neg.f64 (/.f64 c b)) (neg.f64 (/.f64 b a))) |
(if (<=.f64 b #s(literal -6653927711158919/154742504910672534362390528 binary64)) (/.f64 c b) (neg.f64 (/.f64 b a))) |
(/.f64 c b) |
(/.f64 b a) |
| 9 868× | lower-fma.f64 |
| 9 868× | lower-fma.f32 |
| 8 386× | lower-fma.f64 |
| 8 386× | lower-fma.f32 |
| 7 984× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 153 |
| 0 | 58 | 151 |
| 1 | 209 | 147 |
| 2 | 1291 | 139 |
| 0 | 8634 | 139 |
| 0 | 1063 | 8506 |
| 1 | 3543 | 8342 |
| 0 | 8053 | 7992 |
| 0 | 32 | 190 |
| 0 | 57 | 190 |
| 1 | 229 | 182 |
| 2 | 1702 | 182 |
| 0 | 8298 | 180 |
| 0 | 14 | 51 |
| 0 | 23 | 51 |
| 1 | 81 | 51 |
| 2 | 591 | 48 |
| 0 | 8093 | 44 |
| 0 | 28 | 156 |
| 0 | 50 | 156 |
| 1 | 180 | 156 |
| 2 | 1308 | 150 |
| 0 | 8316 | 148 |
| 0 | 1339 | 9593 |
| 1 | 4452 | 9287 |
| 0 | 8092 | 8901 |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 595 to 273 computations (54.1% saved)
Compiled 906 to 250 computations (72.4% saved)
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