
Time bar (total: 12.1s)
| 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)
| 535.0ms | 5 668× | 0 | valid |
| 291.0ms | 1 136× | 2 | valid |
| 228.0ms | 1 280× | 1 | valid |
| 133.0ms | 922× | 0 | invalid |
| 45.0ms | 172× | 3 | valid |
ival-mult: 335.0ms (36.8% of total)ival-div: 122.0ms (13.4% of total)ival-sqrt: 102.0ms (11.2% of total)ival-add: 89.0ms (9.8% of total)adjust: 85.0ms (9.3% of total)ival-neg: 79.0ms (8.7% of total)ival-sub: 78.0ms (8.6% of total)exact: 10.0ms (1.1% of total)ival-true: 8.0ms (0.9% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 107 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 62 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 13 | 1 | (-2.4280738758659345e-262 8.974118408253309e+300 4.29805492849031e-22) | 0 | - | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 3 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 4 binary64) a) c) |
| 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 | - | (*.f64 #s(literal 4 binary64) a) |
| 0 | 0 | - | 0 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | oflow-rescue | 101 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | overflow | 101 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 26 | |
| ↳ | (*.f64 b b) | overflow | 81 | |
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | cancellation | 62 | 1 |
/.f64 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | u/n | 14 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 6 | |
| ↳ | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | underflow | 26 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 35 | |
| ↳ | (*.f64 b b) | underflow | 34 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | uflow-rescue | 6 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 6 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 35 | |
| ↳ | (*.f64 b b) | underflow | 34 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | nan-rescue | 3 | 0 |
| ↳ | (*.f64 b b) | overflow | 81 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 26 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 126 | 0 |
| - | 24 | 106 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 126 | 0 | 0 |
| - | 24 | 0 | 106 |
| number | freq |
|---|---|
| 0 | 106 |
| 1 | 115 |
| 2 | 34 |
| 3 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 34.0ms | 338× | 0 | valid |
| 19.0ms | 80× | 2 | valid |
| 14.0ms | 86× | 1 | valid |
| 2.0ms | 8× | 3 | valid |
Compiled 164 to 46 computations (72% saved)
ival-mult: 13.0ms (31% of total)ival-sqrt: 7.0ms (16.7% of total)ival-div: 6.0ms (14.3% of total)adjust: 5.0ms (11.9% of total)ival-sub: 4.0ms (9.5% of total)ival-add: 4.0ms (9.5% of total)ival-neg: 2.0ms (4.8% of total)exact: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 548× | div-sub |
| 1 120× | lower-fma.f64 |
| 1 120× | lower-fma.f32 |
| 1 004× | sub-neg |
| 744× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 158 |
| 1 | 162 | 144 |
| 2 | 463 | 144 |
| 3 | 1233 | 144 |
| 4 | 3210 | 144 |
| 5 | 6057 | 144 |
| 0 | 14 | 17 |
| 0 | 23 | 17 |
| 1 | 40 | 16 |
| 2 | 77 | 16 |
| 3 | 160 | 16 |
| 4 | 240 | 16 |
| 5 | 381 | 16 |
| 6 | 662 | 16 |
| 7 | 1129 | 16 |
| 8 | 2243 | 16 |
| 9 | 2519 | 16 |
| 10 | 2629 | 16 |
| 11 | 2684 | 16 |
| 12 | 2685 | 16 |
| 13 | 2685 | 16 |
| 14 | 2691 | 16 |
| 0 | 2691 | 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 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64))) |
Compiled 20 to 14 computations (30% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.1% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) 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 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 1 120× | lower-fma.f64 |
| 1 120× | lower-fma.f32 |
| 744× | lower-*.f32 |
| 736× | lower-*.f64 |
| 440× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 70 |
| 0 | 23 | 70 |
| 1 | 40 | 68 |
| 2 | 77 | 68 |
| 3 | 160 | 68 |
| 4 | 240 | 68 |
| 5 | 381 | 68 |
| 6 | 662 | 68 |
| 7 | 1129 | 68 |
| 8 | 2243 | 68 |
| 9 | 2519 | 68 |
| 10 | 2629 | 68 |
| 11 | 2684 | 68 |
| 12 | 2685 | 68 |
| 13 | 2685 | 68 |
| 14 | 2691 | 68 |
| 0 | 2691 | 64 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
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 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64))) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
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 | 0.5976562500000001 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| accuracy | 3.2717472527112204 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 14.48052083371008 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| accuracy | 24.908670332113257 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 18.0ms | 169× | 0 | valid |
| 11.0ms | 40× | 2 | valid |
| 8.0ms | 43× | 1 | valid |
| 1.0ms | 4× | 3 | valid |
Compiled 72 to 16 computations (77.8% saved)
ival-mult: 8.0ms (33% of total)ival-sqrt: 5.0ms (20.7% of total)ival-div: 3.0ms (12.4% of total)ival-sub: 2.0ms (8.3% of total)adjust: 2.0ms (8.3% of total)ival-add: 2.0ms (8.3% of total)ival-neg: 1.0ms (4.1% 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 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* a c) b)) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -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) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 b) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* 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)))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* a c) b)) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* 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 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (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))))))) (taylor 0 b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (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))))))))) (taylor 0 b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) 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 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) 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 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 b) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) 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 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) 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 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) 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 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) 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 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) 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 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) 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 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) 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 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) 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 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) 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 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) 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 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) 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 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) 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 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) 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 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) 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 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) 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 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) 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 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) 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 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) 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 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) 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 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | 0 | (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 1.0ms | b | @ | inf | (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
| 1.0ms | c | @ | inf | (sqrt (- (* b b) (* (* 4 a) c))) |
| 1.0ms | b | @ | inf | (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 1.0ms | b | @ | 0 | (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
| 1× | egg-herbie |
| 11 458× | lower-fma.f64 |
| 11 458× | lower-fma.f32 |
| 7 766× | lower-*.f64 |
| 7 766× | lower-*.f32 |
| 2 546× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 545 | 3273 |
| 1 | 1738 | 3232 |
| 2 | 6083 | 3204 |
| 0 | 8243 | 3047 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (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 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) 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) |
(/ (+ (* -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) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* 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)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (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 (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -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 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (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 (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -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)))))) |
(* -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)))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -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 (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* 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 |
|---|
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (neg.f64 b)) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* 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))) |
(fma.f64 b (fma.f64 b (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/32 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) |
(* -2 (/ (* a c) b)) |
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.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 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.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))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64))))))) b) |
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 b (neg.f64 (fma.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b)) #s(literal 2 binary64)))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 2 binary64)) (neg.f64 b)) |
(* -1 (* 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)))))))) |
(*.f64 b (neg.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 2 binary64))))) |
(* -2 (/ (* a c) b)) |
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b)))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b)))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b (neg.f64 a)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b (neg.f64 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))) |
(*.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #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 c a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b (neg.f64 a)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 b a)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64)) (neg.f64 b)) a)) (neg.f64 a)) |
(* -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)))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.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)))) a) b) a)) (neg.f64 a)) |
(* -2 (/ (* a c) b)) |
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 a b))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(*.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 #s(literal -4 binary64) (*.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))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b (neg.f64 c)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 b (neg.f64 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))) |
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(* -4 (* a c)) |
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(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(pow b 2) |
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(pow b 2) |
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(pow b 2) |
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(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
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(*.f64 (neg.f64 c) (fma.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 a c)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (neg.f64 c) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) c))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(neg.f64 (*.f64 c (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64)))) c)) c)))) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/32 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* (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 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (*.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.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 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.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 a c))) (sqrt.f64 #s(literal -4 binary64))))))) |
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 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) b) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(fma.f64 b (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64)))) b) |
(* -1 b) |
(neg.f64 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 a c) (*.f64 b b)) b) (neg.f64 b)) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1 binary64)) (neg.f64 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 b (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1 binary64))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c 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 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 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* 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 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a 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 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #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 c a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a 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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #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 c a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))))) (sqrt.f64 #s(literal -4 binary64))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.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 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.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 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)))))) (neg.f64 a)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c 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 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 a b)) b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (*.f64 c #s(literal -4 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 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* 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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 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 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a 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) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(*.f64 c (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a 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) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.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 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 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))))))) |
(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 -1/64 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (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))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 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 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (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 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 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)))))))) |
| 4 850× | lower-fma.f64 |
| 4 850× | lower-fma.f32 |
| 3 904× | lower-*.f32 |
| 3 896× | lower-*.f64 |
| 2 332× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 51 |
| 0 | 23 | 51 |
| 1 | 76 | 49 |
| 2 | 536 | 48 |
| 3 | 6864 | 48 |
| 0 | 8158 | 44 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| Outputs |
|---|
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(+.f64 b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) |
(+.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(+.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(+.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) b) |
(+.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) b) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) |
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b |
(+.f64 b #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) b) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) |
(-.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)) |
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(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) |
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(*.f64 b #s(literal -1 binary64)) |
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b)) |
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(*.f64 #s(literal 1 binary64) b) |
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(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
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(fma.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))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c)))) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.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 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c))))) #s(literal 0 binary64)) |
(fma.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))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c))))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 0 binary64)) |
(/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c)))) (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))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.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 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))) |
(/.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))))) |
(/.f64 (neg.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)))))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c)))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))))) |
(/.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) (+.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 0 binary64))) |
(pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.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))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c)))) #s(literal 1/2 binary64))) |
(*.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 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c)))))) |
(*.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))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c)))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))))) |
(*.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
Compiled 22 484 to 2 082 computations (90.7% saved)
18 alts after pruning (18 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 575 | 18 | 593 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 576 | 18 | 594 |
| Status | Accuracy | Program |
|---|---|---|
| 20.7% | (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))) | |
| 25.1% | (/.f64 (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 a #s(literal 2 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) | |
| ▶ | 35.4% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) |
| 35.4% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) | |
| ▶ | 53.1% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
| 42.9% | (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) | |
| 28.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 34.2% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) | |
| 11.4% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 28.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) |
| 25.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 a #s(literal 2 binary64))))) | |
| ▶ | 35.4% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
| 35.4% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) a)) | |
| 53.0% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64)))) | |
| 53.0% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) | |
| 32.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))) | |
| 36.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) | |
| ▶ | 32.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) |
Compiled 710 to 448 computations (36.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) | |
| cost-diff | 0 | (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) | |
| cost-diff | 384 | (/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) | |
| cost-diff | 0 | (/.f64 (*.f64 a #s(literal -2 binary64)) b) | |
| cost-diff | 0 | (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (neg.f64 a) | |
| cost-diff | 0 | (/.f64 b (neg.f64 a)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) | |
| cost-diff | 0 | (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) | |
| cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
| 2 368× | lower-fma.f32 |
| 2 366× | lower-fma.f64 |
| 1 704× | lower-*.f32 |
| 1 694× | lower-*.f64 |
| 810× | div-sub |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 313 |
| 0 | 59 | 305 |
| 1 | 111 | 299 |
| 2 | 232 | 299 |
| 3 | 413 | 299 |
| 4 | 802 | 299 |
| 5 | 1395 | 299 |
| 6 | 2133 | 299 |
| 7 | 2758 | 299 |
| 8 | 3319 | 299 |
| 9 | 3911 | 299 |
| 10 | 4364 | 299 |
| 11 | 4465 | 299 |
| 12 | 4491 | 299 |
| 13 | 4504 | 299 |
| 14 | 4681 | 299 |
| 15 | 4753 | 299 |
| 16 | 4753 | 299 |
| 17 | 4753 | 299 |
| 18 | 4763 | 299 |
| 19 | 4763 | 299 |
| 20 | 4765 | 299 |
| 0 | 4765 | 299 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
a |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
b |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) |
(/.f64 b (neg.f64 a)) |
b |
(neg.f64 a) |
a |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) |
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) |
c |
(/.f64 (*.f64 a #s(literal -2 binary64)) b) |
(*.f64 a #s(literal -2 binary64)) |
a |
#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 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
#s(literal 1/2 binary64) |
(/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
a |
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
a |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64))) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
a |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
b |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) |
(/.f64 b (neg.f64 a)) |
b |
(neg.f64 a) |
a |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) (*.f64 a #s(literal 2 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) |
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) |
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) |
c |
(/.f64 (*.f64 a #s(literal -2 binary64)) b) |
(*.f64 a #s(literal -2 binary64)) |
a |
#s(literal -2 binary64) |
b |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))) |
#s(literal 1/2 binary64) |
(/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
a |
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
a |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.5250346601139533 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) | |
| accuracy | 4.162863616610847 | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 10.848367670744622 | (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) | |
| accuracy | 24.908670332113285 | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) | |
| accuracy | 0.28353500976844204 | (/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) | |
| accuracy | 4.142493803816306 | (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) | |
| accuracy | 10.848367670744622 | (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) | |
| accuracy | 24.908670332113285 | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) a) | |
| accuracy | 3.2717472527112204 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 3.9746006120784747 | (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) | |
| accuracy | 40.75217623728872 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) | |
| accuracy | 0 | (/.f64 b (neg.f64 a)) | |
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 42.91641354606579 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) | |
| accuracy | 0 | (*.f64 #s(literal -4 binary64) c) | |
| accuracy | 3.2717472527112204 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 14.48052083371008 | (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) | |
| accuracy | 24.908670332113285 | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
| 88.0ms | 77× | 2 | valid |
| 29.0ms | 73× | 1 | valid |
| 21.0ms | 91× | 0 | valid |
| 10.0ms | 15× | 3 | valid |
Compiled 309 to 37 computations (88% saved)
ival-div: 23.0ms (33.9% of total)ival-mult: 12.0ms (17.7% of total)adjust: 11.0ms (16.2% of total)ival-add: 7.0ms (10.3% of total)ival-sqrt: 7.0ms (10.3% of total)ival-sub: 4.0ms (5.9% of total)ival-neg: 2.0ms (2.9% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (patch (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) #<representation binary64>) () ()) |
#s(alt (/.f64 b (neg.f64 a)) (patch (/.f64 b (neg.f64 a)) #<representation binary64>) () ()) |
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) #<representation binary64>) () ()) |
#s(alt (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (patch (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 a #s(literal -2 binary64)) b) (patch (/.f64 (*.f64 a #s(literal -2 binary64)) b) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (patch (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #<representation binary64>) () ()) |
#s(alt (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) a) (patch (*.f64 #s(literal 2 binary64) a) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ c b)) (taylor 0 a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor -inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* a c) b)) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* 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 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<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)))) (/ b a))) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* 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 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
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#s(alt (* -4 c) (taylor 0 c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor 0 c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor 0 c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor 0 c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor inf c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor inf c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor inf c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor inf c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor -inf c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor -inf c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor -inf c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor -inf c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* 2 a) (taylor 0 a) (#s(alt (*.f64 #s(literal 2 binary64) a) (patch (*.f64 #s(literal 2 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (* 2 a) (taylor 0 a) (#s(alt (*.f64 #s(literal 2 binary64) a) (patch (*.f64 #s(literal 2 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (* 2 a) (taylor 0 a) (#s(alt (*.f64 #s(literal 2 binary64) a) (patch (*.f64 #s(literal 2 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (* 2 a) (taylor 0 a) (#s(alt (*.f64 #s(literal 2 binary64) a) (patch (*.f64 #s(literal 2 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (* 2 a) (taylor inf a) (#s(alt (*.f64 #s(literal 2 binary64) a) (patch (*.f64 #s(literal 2 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (* 2 a) (taylor inf a) (#s(alt (*.f64 #s(literal 2 binary64) a) (patch (*.f64 #s(literal 2 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (* 2 a) (taylor inf a) (#s(alt (*.f64 #s(literal 2 binary64) a) (patch (*.f64 #s(literal 2 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (* 2 a) (taylor inf a) (#s(alt (*.f64 #s(literal 2 binary64) a) (patch (*.f64 #s(literal 2 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (* 2 a) (taylor -inf a) (#s(alt (*.f64 #s(literal 2 binary64) a) (patch (*.f64 #s(literal 2 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (* 2 a) (taylor -inf a) (#s(alt (*.f64 #s(literal 2 binary64) a) (patch (*.f64 #s(literal 2 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (* 2 a) (taylor -inf a) (#s(alt (*.f64 #s(literal 2 binary64) a) (patch (*.f64 #s(literal 2 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (* 2 a) (taylor -inf a) (#s(alt (*.f64 #s(literal 2 binary64) a) (patch (*.f64 #s(literal 2 binary64) a) #<representation binary64>) () ())) ()) |
147 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | b | @ | -inf | (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) |
| 5.0ms | c | @ | -inf | (* -4 c) |
| 2.0ms | a | @ | inf | (/ b (neg a)) |
| 2.0ms | c | @ | -inf | (+ (* a (* -4 c)) (* b b)) |
| 2.0ms | a | @ | -inf | (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) |
| 1× | egg-herbie |
| 7 346× | lower-fma.f64 |
| 7 346× | lower-fma.f32 |
| 7 062× | lower-*.f64 |
| 7 062× | lower-*.f32 |
| 5 376× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1129 | 12462 |
| 1 | 3756 | 12044 |
| 0 | 8413 | 11555 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -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 (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (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 (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -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 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (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 (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -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)))))) |
(* (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 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) 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) |
(/ (+ (* -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) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* 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)))))))) |
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))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -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 (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -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)) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -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 (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -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 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) 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) |
(/ (+ (* -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) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* 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)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (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 (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -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 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (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 (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (/ (* a c) b)) |
(* -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 b)) |
(* -2 (/ a b)) |
(* -2 (/ a b)) |
(* -2 (/ a b)) |
(* -2 (/ a b)) |
(* -2 (/ a b)) |
(* -2 (/ a b)) |
(* -2 (/ a b)) |
(* -2 (/ a b)) |
(* -2 (/ a b)) |
(* -2 (/ a b)) |
(* -2 (/ a b)) |
(* -2 (/ a b)) |
(* -2 (/ a b)) |
(* -2 (/ a b)) |
(* -2 (/ a b)) |
(* -2 (/ a b)) |
(* -2 (/ a b)) |
(* -2 (/ a b)) |
(* -2 (/ a b)) |
(* -2 (/ a b)) |
(* -2 (/ a b)) |
(* -2 (/ a b)) |
(* -2 (/ a b)) |
(/ b a) |
(/ (+ b (* -1 (/ (* a c) b))) a) |
(/ (+ b (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ b (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a) |
(* 1/2 (* (sqrt (/ c a)) (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)))) (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 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 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/2 b)) a))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(/ b a) |
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))) |
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))) |
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(/ c b) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)) |
(/ b a) |
(+ (* -1 (/ c b)) (/ b a)) |
(+ (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (/ b a)) |
(+ (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (/ b a)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))) |
(* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))) |
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* 1/2 (/ a b)) |
(* a (+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* a (+ (* a (- (/ (* a (pow c 2)) (pow b 5)) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* a (+ (* a (- (* a (- (* -1 (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7)))))) (* -1 (/ (pow c 2) (pow b 5))))) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -4))) |
(+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2)))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (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))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* 1/4 (/ b c))) |
(+ (* -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)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -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))))))))) (* 1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -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)))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -4))) |
(+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(* 1/2 (/ a b)) |
(/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b) |
(/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b) |
(/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b) |
(* 1/2 (/ b c)) |
(* -1 (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))) |
(* -1 (* b (- (* -1 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))) |
(* -1 (* b (- (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c)))))))) |
(* 1/2 (/ a b)) |
(+ (* 1/2 (/ a b)) (* 1/2 (/ (* (pow a 2) c) (pow b 3)))) |
(+ (* 1/2 (/ a b)) (* c (- (/ (* (pow a 3) c) (pow b 5)) (* -1/2 (/ (pow a 2) (pow b 3)))))) |
(+ (* 1/2 (/ a b)) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))) (* -1 (/ (pow a 3) (pow b 5))))) (* -1/2 (/ (pow a 2) (pow b 3)))))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -4))) |
(/ (+ (* -1 (/ b (pow (sqrt -4) 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (/ b (pow (sqrt -4) 2))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (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 (/ (+ (* -1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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))))))))) (* -1/32 (/ (* (pow b 3) c) a))) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* (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) (* 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)))))) |
(* 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)))))) |
(* (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) (* 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)))))) |
(* 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)))))) |
(* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(/ b a) |
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))) |
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))) |
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(/ c b) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)) |
(/ b a) |
(/ (+ b (* -1 (/ (* a c) b))) a) |
(/ (+ b (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ b (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a) |
(* 1/2 (* (sqrt (/ c a)) (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)))) (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 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 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/2 b)) a))) |
(/ b a) |
(+ (* -1 (/ c b)) (/ b a)) |
(+ (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (/ b a)) |
(+ (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (/ b a)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))) |
(* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))) |
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) |
(+ (* -1 (/ b (* a (* c (pow (sqrt -4) 2))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(+ (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(/ 1/2 b) |
(/ (+ 1/2 (* 1/2 (/ (* a c) (pow b 2)))) b) |
(/ (- (+ 1/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2)))) b) |
(/ (- (+ 1/2 (* -1 (/ (+ (* -2 (* (pow a 3) (pow c 3))) (* -1/2 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2))))) b) |
(* 1/2 (/ b (* a c))) |
(* -1 (* b (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))) |
(* -1 (* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 1/2 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 1/2 (/ 1 (* a c)))))) |
(* -1 (* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 1/2 (* a c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* (pow a 2) (pow c 2)))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (* a c)))))))) |
(/ 1/2 b) |
(+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(+ (* a (- (/ (* a (pow c 2)) (pow b 5)) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7)))))) (* -1 (/ (pow c 2) (pow b 5))))) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) |
(/ (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) a) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2)))) a) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (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 (/ (+ (* -1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(* -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)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -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))))))))) (* -1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -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)))) a)) |
(/ 1/2 b) |
(+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(+ (* c (- (/ (* (pow a 2) c) (pow b 5)) (* -1/2 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(+ (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))) (* -1 (/ (pow a 2) (pow b 5))))) (* -1/2 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) |
(/ (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (/ b (* a (pow (sqrt -4) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4))))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (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 (/ (+ (* -1/4 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (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 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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))))))))) (* -1/32 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -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)))))) c)) (* -1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -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) |
| Outputs |
|---|
(* -1 (/ c b)) |
(/.f64 c (neg.f64 b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 a (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.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 (neg.f64 b))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/4 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 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 c (neg.f64 b))) |
(* 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 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 (*.f64 #s(literal 1/4 binary64) (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) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 #s(literal -1/16 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)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (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) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(neg.f64 (fma.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 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))) (*.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)))))) a)) a))) |
(* -1 (/ c b)) |
(/.f64 c (neg.f64 b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.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 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) (*.f64 b a))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))) |
(* 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 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(*.f64 c (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 c a)))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(*.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(*.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c 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)) (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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 c a))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.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 (*.f64 b #s(literal -1/2 binary64)) a)) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(neg.f64 (*.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (-.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (/.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 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))))) c)) c)))) |
(* 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 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 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 (*.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 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) |
(* -1 (/ c b)) |
(/.f64 c (neg.f64 b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* 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))) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 20 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) b) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(neg.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (*.f64 b b))) (neg.f64 b)) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (*.f64 b b)))) (neg.f64 b)) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 a (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 a (fma.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 c b) #s(literal -2 binary64)))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) b) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 (/.f64 c b) #s(literal -2 binary64)))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(*.f64 a (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 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 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))) |
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b |
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b |
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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 c a)))) |
(* -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 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)))))) |
(* -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 -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)))))))) |
(* -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 c a))) |
(+ (* 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 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(fma.f64 (*.f64 b b) (fma.f64 #s(literal -1/8 binary64) (*.f64 (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 c a))) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -4 binary64) (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 (*.f64 b b) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 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 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b)) b) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(fma.f64 b (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.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 -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))))) b) |
(* -1 b) |
(neg.f64 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64)) (neg.f64 b)) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (neg.f64 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)))))))) |
(neg.f64 (fma.f64 b (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))))) b)) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(* -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 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(* -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))) |
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(* -4 (* a c)) |
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(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 a (*.f64 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 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(* 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)))) |
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(* -1 (/ c b)) |
(/.f64 c (neg.f64 b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* 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))) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 20 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) b) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(neg.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (*.f64 b b))) (neg.f64 b)) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (*.f64 b b)))) (neg.f64 b)) |
(* -1 (/ c b)) |
(/.f64 c (neg.f64 b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 a (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.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 (neg.f64 b))) |
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(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/4 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 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 c (neg.f64 b))) |
(* 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 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
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(* (sqrt (/ a c)) (/ 1 (sqrt -4))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
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(* 2 (/ (* a c) b)) |
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(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2)))) a) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) #s(literal -1/2 binary64)) (neg.f64 (*.f64 a a))) (fma.f64 #s(literal 1/4 binary64) (/.f64 b c) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) a) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* c (pow (sqrt -4) 2)))))) a) |
(/.f64 (-.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (fma.f64 (/.f64 (*.f64 b (*.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -4 binary64))) (neg.f64 (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a a))) (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))))) (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1/2 binary64) (/.f64 b (*.f64 c #s(literal -4 binary64))))) a) |
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) |
(* -1 (/ (+ (* -1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 b #s(literal -1/4 binary64)) c)) (neg.f64 a)) |
(* -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)))) a)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b a)) c)) a)) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -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))))))))) (* -1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -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)))) a)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))))) (fma.f64 (/.f64 (*.f64 a (*.f64 b (*.f64 b b))) (*.f64 c c)) #s(literal -1/32 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))))) (neg.f64 a)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b a)) c)) a)) (neg.f64 a)) |
(/ 1/2 b) |
(/.f64 #s(literal 1/2 binary64) b) |
(+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) b)) |
(+ (* c (- (/ (* (pow a 2) c) (pow b 5)) (* -1/2 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(fma.f64 c (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) b)) |
(+ (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))) (* -1 (/ (pow a 2) (pow b 5))))) (* -1/2 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (*.f64 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5/2 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) b)) |
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) |
(/ (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) c) |
(/.f64 (fma.f64 (/.f64 b a) #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (/ b (* a (pow (sqrt -4) 2)))) c) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) #s(literal -1/2 binary64)) (neg.f64 (*.f64 c c))) (fma.f64 (/.f64 b a) #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4))))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* a (pow (sqrt -4) 2)))))) c) |
(/.f64 (-.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (fma.f64 (/.f64 (*.f64 b (*.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -4 binary64))) (neg.f64 (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))))) (*.f64 c (*.f64 c c)))) (fma.f64 (*.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))))) #s(literal -1/2 binary64) (/.f64 b (*.f64 a #s(literal -4 binary64))))) c) |
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) |
(* -1 (/ (+ (* -1/4 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 b a))) (neg.f64 c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))) #s(literal -1/16 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 b (/.f64 c a)))) c)) (neg.f64 c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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))))))))) (* -1/32 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -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)))))) c)) (* -1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) #s(literal -1/16 binary64))) (fma.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 b (*.f64 b b)) (/.f64 c (*.f64 a a))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))))) (neg.f64 c)) (*.f64 #s(literal 1/4 binary64) (*.f64 b (/.f64 c a)))) c)) (neg.f64 c)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
| 4 300× | lower-/.f32 |
| 4 282× | lower-/.f64 |
| 4 234× | lower-*.f32 |
| 4 224× | lower-*.f64 |
| 3 878× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 221 |
| 0 | 59 | 213 |
| 1 | 230 | 207 |
| 2 | 1676 | 207 |
| 0 | 8822 | 207 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) |
(/.f64 b (neg.f64 a)) |
(neg.f64 a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) |
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) |
(/.f64 (*.f64 a #s(literal -2 binary64)) b) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 #s(literal 2 binary64) a) |
| Outputs |
|---|
(+.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64)))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal -2 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (neg.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
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(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(-.f64 (/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (fma.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (fma.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b))))) |
(-.f64 (/.f64 b (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (neg.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (fma.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(/.f64 (neg.f64 (-.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (neg.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b))))) |
(pow.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(*.f64 (-.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b))))) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(*.f64 (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (-.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 1 binary64))) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 c #s(literal -4 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 a #s(literal -2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 a) #s(literal 1/2 binary64))) |
(neg.f64 (*.f64 a #s(literal -2 binary64))) |
(/.f64 a #s(literal 1/2 binary64)) |
(/.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 a) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) |
(/.f64 (*.f64 a #s(literal -2 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 a #s(literal -2 binary64)))))) |
(*.f64 a #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 a) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (neg.f64 a)) |
(*.f64 #s(literal -1 binary64) (*.f64 a #s(literal -2 binary64))) |
Compiled 84 729 to 5 768 computations (93.2% saved)
30 alts after pruning (28 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 560 | 22 | 2 582 |
| Fresh | 7 | 6 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 570 | 30 | 2 600 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.0% | (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))))) |
| 26.4% | (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) a (*.f64 a (*.f64 b #s(literal 1/2 binary64)))) (*.f64 a a)) | |
| 20.7% | (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))) | |
| 25.1% | (/.f64 (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 a #s(literal 2 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) | |
| 25.6% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) | |
| 35.4% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) | |
| 38.1% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b))) | |
| ✓ | 53.1% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
| ▶ | 34.2% | (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) |
| 11.4% | (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c b)) b)) b) (*.f64 #s(literal 2 binary64) a)) | |
| 42.9% | (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) | |
| 28.9% | (/.f64 #s(approx (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 25.6% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) | |
| 24.9% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) | |
| 35.4% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) a)) | |
| ▶ | 53.0% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) |
| 28.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 a (*.f64 b #s(literal -1/2 binary64)))))) | |
| 2.4% | #s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 (-.f64 b (*.f64 a (/.f64 c b))) a)) | |
| 10.8% | #s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 c b)) | |
| ▶ | 2.7% | #s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 b a)) |
| 36.3% | #s(approx (/ (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (* 2 a)) (/.f64 c (neg.f64 b))) | |
| 32.3% | #s(approx (/ (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (* 2 a)) (neg.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))) | |
| 32.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))) | |
| 27.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 a b)) a) (*.f64 a (/.f64 a b)))) | |
| ▶ | 32.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)))) |
| 27.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))) | |
| ✓ | 32.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) |
| 32.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) | |
| 32.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b)) | |
| 16.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 a (neg.f64 b))) #s(literal -1 binary64)))) |
Compiled 1 010 to 621 computations (38.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) | |
| cost-diff | 128 | (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))) | |
| cost-diff | 896 | (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))))) | |
| cost-diff | 0 | #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) | |
| cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) a) | |
| cost-diff | 0 | (/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)))) | |
| cost-diff | 1280 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)) | |
| cost-diff | 0 | (/.f64 b a) | |
| cost-diff | 0 | #s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 b a)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) a) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) |
| 2 272× | lower-fma.f32 |
| 2 268× | lower-fma.f64 |
| 1 320× | lower-*.f32 |
| 1 306× | lower-*.f64 |
| 906× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 285 |
| 0 | 76 | 271 |
| 1 | 137 | 265 |
| 2 | 277 | 265 |
| 3 | 524 | 265 |
| 4 | 916 | 265 |
| 5 | 1478 | 265 |
| 6 | 2072 | 265 |
| 7 | 2995 | 265 |
| 8 | 4015 | 265 |
| 9 | 4592 | 265 |
| 10 | 4597 | 265 |
| 11 | 4601 | 265 |
| 12 | 4609 | 265 |
| 13 | 4609 | 265 |
| 14 | 4639 | 265 |
| 15 | 4651 | 265 |
| 16 | 4651 | 265 |
| 0 | 4651 | 265 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
b |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 b a)) |
(/.f64 b a) |
b |
a |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)))) |
(/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a))) |
b |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) a) |
#s(literal -1 binary64) |
a |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
(sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
#s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
a |
(*.f64 c #s(literal -4 binary64)) |
c |
#s(literal -4 binary64) |
b |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
a |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
b |
#s(literal 1/2 binary64) |
(neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))) |
(/.f64 b (*.f64 a #s(literal 2 binary64))) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
b |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 b a)) |
(/.f64 b a) |
b |
a |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) |
(/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 b (neg.f64 a)) |
b |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)) |
(neg.f64 a) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) a) |
#s(literal -1 binary64) |
a |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 2 binary64))) |
(-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
(-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) |
(sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) |
#s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
#s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
a |
(*.f64 c #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) c) |
c |
#s(literal -4 binary64) |
b |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
a |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
b |
#s(literal 1/2 binary64) |
(neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))) |
(/.f64 b (*.f64 a #s(literal -2 binary64))) |
(/.f64 b (*.f64 a #s(literal 2 binary64))) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))) | |
| accuracy | 0.1171875 | (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) | |
| accuracy | 17.37667679610416 | (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))))) | |
| accuracy | 24.908670332113278 | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) | |
| accuracy | 3.2717472527112204 | (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 14.48052083371008 | (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) | |
| accuracy | 24.908670332113257 | (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) | |
| accuracy | 39.67030365567699 | #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64)))) | |
| accuracy | 0 | (/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a))) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) a) | |
| accuracy | 0.140625 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)) | |
| accuracy | 42.91641354606579 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)))) | |
| accuracy | 0 | (/.f64 b a) | |
| accuracy | 40.64238095884006 | #s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 b a)) | |
| accuracy | 0 | (*.f64 #s(literal -4 binary64) c) | |
| accuracy | 3.3918835320165464 | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) | |
| accuracy | 14.48052083371008 | (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) | |
| accuracy | 24.908670332113278 | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
| 89.0ms | 80× | 2 | valid |
| 38.0ms | 70× | 1 | valid |
| 25.0ms | 91× | 0 | valid |
| 12.0ms | 15× | 3 | valid |
Compiled 265 to 44 computations (83.4% saved)
adjust: 42.0ms (35.5% of total)ival-div: 30.0ms (25.4% of total)ival-mult: 19.0ms (16.1% of total)ival-sqrt: 10.0ms (8.5% of total)ival-add: 9.0ms (7.6% of total)ival-sub: 4.0ms (3.4% of total)ival-neg: 3.0ms (2.5% of total)exact: 1.0ms (0.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) a) (patch (/.f64 #s(literal 1/2 binary64) a) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 b a)) (patch #s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 b a)) #<representation binary64>) () ()) |
#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)))) #<representation binary64>) () ()) |
#s(alt (/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a))) (patch (/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) a) (patch (/.f64 #s(literal -1 binary64) a) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (patch #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))))) (patch (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))) (patch (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ c b)) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) #<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 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
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#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* 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 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
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#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* a c) b)) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -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) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 b) (taylor -inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* 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)))))))) (taylor -inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt b (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #<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 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #<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 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #<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 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #<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 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #<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 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #<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 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #<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 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #<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 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (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 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #<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 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #<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 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #<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 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor -inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* a c) b)) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* 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 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<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)))) (/ b a))) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* 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 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* a c) b)) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
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#s(alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) (taylor inf b) (#s(alt (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))) (taylor -inf a) (#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (/ b a) (taylor 0 c) (#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (/ c b)) (/ b a)) (taylor 0 c) (#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (- (* -2 (/ (* a c) (pow b 3))) (* 2 (/ 1 b)))) (/ b a)) (taylor 0 c) (#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (- (* c (+ (* -4 (/ (* (pow a 2) c) (pow b 5))) (* -2 (/ a (pow b 3))))) (* 2 (/ 1 b)))) (/ b a)) (taylor 0 c) (#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ c a)) (sqrt -4)) (taylor inf c) (#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))) (taylor inf c) (#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))) (taylor inf c) (#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) (taylor inf c) (#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf c) (#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) (taylor -inf c) (#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) (taylor -inf c) (#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))) (taylor -inf c) (#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ c a)) (sqrt -4)) (taylor 0 b) (#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (taylor 0 b) (#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4))))))) (taylor 0 b) (#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) (taylor 0 b) (#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (/ b a) (taylor inf b) (#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -2 (/ c (pow b 2))) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))) (taylor inf b) (#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) (taylor inf b) (#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor -inf b) (#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -2 (/ c (pow b 2))) (/ 1 a)))) (taylor -inf b) (#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) (taylor -inf b) (#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) (taylor -inf b) (#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor 0 c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor 0 c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor 0 c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor 0 c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor inf c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor inf c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor inf c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor inf c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor -inf c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor -inf c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor -inf c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor -inf c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ())) ()) |
129 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | inf | (+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) 1/2) (neg (/ b (* a 2)))) |
| 1.0ms | a | @ | -inf | (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) |
| 1.0ms | c | @ | -inf | (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) |
| 0.0ms | c | @ | inf | (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) |
| 0.0ms | c | @ | inf | (+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) 1/2) (neg (/ b (* a 2)))) |
| 1× | egg-herbie |
| 16 052× | lower-fma.f64 |
| 16 052× | lower-fma.f32 |
| 9 218× | lower-*.f64 |
| 9 218× | lower-*.f32 |
| 4 224× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 714 | 10413 |
| 1 | 2338 | 10178 |
| 2 | 7870 | 10100 |
| 0 | 8878 | 9690 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -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 (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (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 (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -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 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (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 (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -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)))))) |
(* (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 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) 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) |
(/ (+ (* -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) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* 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)))))))) |
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)))))))) |
(* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(/ b a) |
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))) |
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))) |
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(/ c b) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)) |
(/ b a) |
(/ (+ b (* -1 (/ (* a c) b))) a) |
(/ (+ b (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ b (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a) |
(* 1/2 (* (sqrt (/ c a)) (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)))) (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 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 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/2 b)) a))) |
(/ b a) |
(+ (* -1 (/ c b)) (/ b a)) |
(+ (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (/ b a)) |
(+ (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (/ b a)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))) |
(* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))) |
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (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) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -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 (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -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)) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -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 (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (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 (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -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 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (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 (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -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)))))) |
(* (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 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) 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) |
(/ (+ (* -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) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* 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)))))))) |
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 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 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 (* (sqrt (/ c a)) (sqrt -4)))) (* 1/2 (/ b a))) |
(- (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 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 (* (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 (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* -1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/2 b)) a))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (- (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))) (* 1/2 (/ b (* a c))))) |
(* c (- (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) (* 1/2 (/ b (* a c))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(/ b a) |
(/ (+ b (* -2 (/ (* a c) b))) a) |
(/ (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) a) |
(* (sqrt (/ c a)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -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)))) |
(+ (* -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 (/ c a)) (sqrt -1))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))) |
(/ b a) |
(+ (* -2 (/ c b)) (/ b a)) |
(+ (* c (- (* -2 (/ (* a c) (pow b 3))) (* 2 (/ 1 b)))) (/ b a)) |
(+ (* c (- (* c (+ (* -4 (/ (* (pow a 2) c) (pow b 5))) (* -2 (/ a (pow b 3))))) (* 2 (/ 1 b)))) (/ b a)) |
(* (sqrt (/ c a)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* -2 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))) |
(* (sqrt (/ c a)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(/ b a) |
(* b (+ (* -2 (/ c (pow b 2))) (/ 1 a))) |
(* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))) |
(* b (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -2 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
| Outputs |
|---|
(* -1 (/ c b)) |
(/.f64 c (neg.f64 b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
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(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* -2 (/ (* a c) b)) |
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(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(neg.f64 (*.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a (*.f64 b b))) #s(literal 2 binary64)))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
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(* 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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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
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b |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
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(* 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))) |
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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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(* -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 c a))) |
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b |
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(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (*.f64 c (/.f64 a (*.f64 b b)))) #s(literal 2 binary64)) (neg.f64 b)) |
(* -1 (* 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)))))))) |
(neg.f64 (*.f64 b (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (*.f64 c (/.f64 a (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal 2 binary64))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 #s(literal -2 binary64) (*.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)) a) 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 #s(literal -2 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) c) b)) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 (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 (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 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (pow.f64 b #s(literal 4 binary64))) (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 (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(*.f64 a (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (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 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(neg.f64 (*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) |
(* -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 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (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 (*.f64 a #s(literal -2 binary64)) b) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 #s(literal -2 binary64) (*.f64 (fma.f64 a (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 a b)) c) 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 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (*.f64 c #s(literal -4 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 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 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 c (fma.f64 (/.f64 (*.f64 (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))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(*.f64 c (fma.f64 (/.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))) (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 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 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))))))) |
(neg.f64 (*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 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 (pow.f64 b #s(literal 4 binary64)) (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 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (*.f64 a (*.f64 a a))))))) #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 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.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 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (*.f64 a (*.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(fma.f64 b (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a (*.f64 b b)))) b) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(fma.f64 (*.f64 b #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (*.f64 c (/.f64 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))))))) |
(*.f64 b (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (*.f64 c (/.f64 a (*.f64 b b)))) (fma.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1 binary64)))) |
(* -1 b) |
(neg.f64 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(neg.f64 (fma.f64 b (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a (*.f64 b b)))) 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)) (pow.f64 b #s(literal 4 binary64))) (*.f64 c (/.f64 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 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (*.f64 c (/.f64 a (*.f64 b b)))) (fma.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1 binary64))) (neg.f64 b)) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(neg.f64 (*.f64 a (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(neg.f64 (*.f64 a (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(neg.f64 (*.f64 a (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -4 binary64)))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -4 binary64)))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -4 binary64)))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #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))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
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(+ (* -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))))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (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 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))) |
(* -2 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/64 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))) |
(fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/64 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/512 binary64)))))) |
(/ b a) |
(/.f64 b a) |
(+ (* -2 (/ c b)) (/ b a)) |
(fma.f64 (/.f64 c b) #s(literal -2 binary64) (/.f64 b a)) |
(+ (* c (- (* -2 (/ (* a c) (pow b 3))) (* 2 (/ 1 b)))) (/ b a)) |
(fma.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -2 binary64) b)) (/.f64 b a)) |
(+ (* c (- (* c (+ (* -4 (/ (* (pow a 2) c) (pow b 5))) (* -2 (/ a (pow b 3))))) (* 2 (/ 1 b)))) (/ b a)) |
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a a)) c) (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal -2 binary64) b)) (/.f64 b a)) |
(* (sqrt (/ c a)) (sqrt -4)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))) |
(*.f64 c (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 (*.f64 c c) (*.f64 c (*.f64 a (*.f64 a a))))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(*.f64 c (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (*.f64 a (*.f64 a a))))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(*.f64 c (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 7 binary64))))) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (*.f64 a (*.f64 a a))))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))))))) |
(* -2 (* (sqrt (/ c a)) (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 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (*.f64 a (*.f64 a a))))))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
(neg.f64 (*.f64 c (fma.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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (*.f64 a (*.f64 a a)))))))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (*.f64 a (*.f64 a a))))))))))))) |
(* (sqrt (/ c a)) (sqrt -4)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) |
(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 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4))))))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64)))))) |
(+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
(/ b a) |
(/.f64 b a) |
(* b (+ (* -2 (/ c (pow b 2))) (/ 1 a))) |
(fma.f64 b (/.f64 (*.f64 #s(literal -2 binary64) c) (*.f64 b b)) (/.f64 b a)) |
(* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))) |
(fma.f64 b (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))))) (/.f64 b a)) |
(* b (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(*.f64 b (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) a)))) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (* b (+ (* -2 (/ c (pow b 2))) (/ 1 a)))) |
(neg.f64 (fma.f64 b (/.f64 (*.f64 #s(literal -2 binary64) c) (*.f64 b b)) (/.f64 b a))) |
(* -1 (* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) a)) (neg.f64 b)) |
(* -1 (* b (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) a))) (neg.f64 b)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
| 4 776× | lower-/.f32 |
| 4 760× | lower-/.f64 |
| 3 976× | lower-*.f32 |
| 3 962× | lower-*.f64 |
| 3 262× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 210 |
| 0 | 76 | 196 |
| 1 | 291 | 190 |
| 2 | 2142 | 190 |
| 0 | 8583 | 190 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) |
(/.f64 #s(literal 1/2 binary64) a) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 b a)) |
(/.f64 b a) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)))) |
(/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 #s(literal -1 binary64) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
(sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
#s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))))) |
(neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) |
(*.f64 #s(literal -4 binary64) c) |
| 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 #s(literal 1/2 binary64) a))) |
(+.f64 (*.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)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b))) #s(literal -1 binary64))) |
(-.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 #s(literal 1/2 binary64) a)) (/.f64 b (*.f64 a #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) a)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 a a)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (/.f64 (neg.f64 b) #s(literal 2 binary64))) a)) (/.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (/.f64 (neg.f64 b) #s(literal 2 binary64))) a))) |
(-.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) #s(literal 0 binary64)) (/.f64 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)))) |
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(*.f64 (/.f64 #s(literal 1 binary64) a) b) |
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(neg.f64 a) |
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#s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
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(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) #s(literal -2 binary64)) (/.f64 b (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) #s(literal 2 binary64)) (/.f64 b (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))))))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -8 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64)))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))))) (/.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) (+.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64)))))) |
(neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))) |
(/.f64 b (*.f64 a #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (neg.f64 b))) |
(/.f64 (/.f64 b a) #s(literal -2 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (neg.f64 b)))) |
(/.f64 (neg.f64 b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (neg.f64 b) (neg.f64 (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (/.f64 b (neg.f64 a)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 b)) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 (*.f64 a #s(literal -2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -8 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 b)) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (/.f64 (neg.f64 b) #s(literal 2 binary64)) a) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) (*.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)) b))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) #s(literal 1 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (/.f64 b a))) (*.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 b a)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 b a))) (*.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b))) (*.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (neg.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (neg.f64 b))) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 b (neg.f64 a)))) (*.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 a #s(literal -2 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (neg.f64 (neg.f64 b)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (neg.f64 (*.f64 a #s(literal -2 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) a)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -8 binary64))))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))))) (neg.f64 (+.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 b))) (neg.f64 (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (/.f64 (neg.f64 b) #s(literal 2 binary64))) (neg.f64 a)) |
(pow.f64 (neg.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) b) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (neg.f64 b)) #s(literal -1 binary64)) |
(*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -2 binary64)))) |
(*.f64 b (neg.f64 (/.f64 #s(literal 1/2 binary64) a))) |
(*.f64 #s(literal -1 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 2 binary64))) |
(*.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 b a)) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 a))) |
(neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 a))) |
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) a)) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) a) |
(/.f64 #s(literal 1 binary64) (/.f64 a (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (neg.f64 (neg.f64 a))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1 binary64)) a) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1 binary64))) (neg.f64 a)) |
(pow.f64 (/.f64 a (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 a (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) a)) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 c #s(literal -4 binary64)) |
Compiled 59 467 to 3 710 computations (93.8% saved)
34 alts after pruning (28 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 897 | 15 | 1 912 |
| Fresh | 10 | 13 | 23 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 908 | 34 | 1 942 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.0% | (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
| 8.7% | (fma.f64 (/.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))))) | |
| 25.1% | (/.f64 (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 a #s(literal 2 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) | |
| 33.1% | (/.f64 (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (*.f64 #s(literal 2 binary64) a)) | |
| 33.2% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 25.6% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) | |
| 38.1% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b))) | |
| ✓ | 53.1% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 34.2% | (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) |
| ▶ | 28.0% | (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
| ▶ | 11.4% | (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) |
| 25.6% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) | |
| 35.4% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) a)) | |
| ✓ | 53.0% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) |
| 34.1% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)) | |
| 28.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)))) | |
| 2.3% | #s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 (neg.f64 a) (neg.f64 b))) (*.f64 (neg.f64 a) a))) | |
| 2.4% | #s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a)) | |
| ▶ | 10.8% | #s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 c b)) |
| ✓ | 2.7% | #s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 b a)) |
| 2.7% | #s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) | |
| 7.2% | #s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))) | |
| 36.3% | #s(approx (/ (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (* 2 a)) (/.f64 c (neg.f64 b))) | |
| 32.3% | #s(approx (/ (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (* 2 a)) (neg.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))) | |
| 32.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))) | |
| 27.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 a b)) a) (*.f64 a (/.f64 a b)))) | |
| 16.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (pow.f64 (pow.f64 (neg.f64 a) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) | |
| ✓ | 32.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)))) |
| ▶ | 27.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))) |
| ✓ | 32.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) |
| 15.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (exp.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 a))) #s(literal -1 binary64))))) | |
| 32.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) | |
| 32.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b)) | |
| 16.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 a) b)) #s(literal -1 binary64)))) |
Compiled 1 026 to 640 computations (37.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 a (*.f64 #s(literal -4 binary64) c)) | |
| cost-diff | 0 | #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) | |
| cost-diff | 0 | (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) | |
| cost-diff | 0 | (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (neg.f64 (*.f64 a a)) | |
| cost-diff | 0 | (/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))) | |
| cost-diff | 1344 | (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) | |
| cost-diff | 0 | (/.f64 c b) | |
| cost-diff | 0 | #s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 c b)) | |
| cost-diff | 0 | (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) | |
| cost-diff | 896 | (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
| 6 454× | lower-fma.f32 |
| 6 448× | lower-fma.f64 |
| 4 486× | lower-*.f32 |
| 4 468× | lower-*.f64 |
| 2 112× | lower-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 383 |
| 0 | 86 | 379 |
| 1 | 174 | 371 |
| 2 | 384 | 359 |
| 3 | 804 | 356 |
| 4 | 2794 | 356 |
| 5 | 4437 | 356 |
| 6 | 6356 | 356 |
| 0 | 8217 | 356 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
a |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
b |
#s(literal 1/2 binary64) |
(/.f64 b (*.f64 a #s(literal -2 binary64))) |
(*.f64 a #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 c b)) |
(/.f64 c b) |
c |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))) |
(/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a))) |
b |
(*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) |
(neg.f64 (*.f64 a a)) |
(*.f64 a a) |
a |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) |
#s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) |
(fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) |
c |
(/.f64 (*.f64 a #s(literal -2 binary64)) b) |
(*.f64 a #s(literal -2 binary64)) |
a |
#s(literal -2 binary64) |
b |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) |
#s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(*.f64 a (*.f64 #s(literal -4 binary64) c)) |
a |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
b |
(*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
| Outputs |
|---|
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) a) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
a |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
b |
#s(literal 1/2 binary64) |
(/.f64 b (*.f64 a #s(literal -2 binary64))) |
(*.f64 a #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 c b)) |
(/.f64 c b) |
c |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 b a))) |
(/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a))) |
(neg.f64 (/.f64 b a)) |
b |
(*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) |
(neg.f64 a) |
(neg.f64 (*.f64 a a)) |
(*.f64 a a) |
a |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b)) b) (*.f64 a #s(literal 2 binary64))) |
(-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) |
(-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b)) b) |
#s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) |
#s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b)) |
(fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) |
(fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b) |
c |
(/.f64 (*.f64 a #s(literal -2 binary64)) b) |
(*.f64 a #s(literal -2 binary64)) |
a |
#s(literal -2 binary64) |
b |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) |
(-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) |
#s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(*.f64 a (*.f64 #s(literal -4 binary64) c)) |
a |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
b |
(*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 20.950579672502307 | (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) | |
| accuracy | 24.908670332113257 | (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) | |
| accuracy | 34.90967978031796 | (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) | |
| accuracy | 39.67030365567699 | #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) | |
| accuracy | 1.1998244789986332 | (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) | |
| accuracy | 3.2717472527112204 | (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 14.48052083371008 | (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) | |
| accuracy | 41.05485374488703 | #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) | |
| accuracy | 0 | (*.f64 a a) | |
| accuracy | 0 | (neg.f64 (*.f64 a a)) | |
| accuracy | 29.58311067484404 | (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) | |
| accuracy | 42.91641354606579 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))) | |
| accuracy | 0 | (/.f64 c b) | |
| accuracy | 43.038844008401796 | #s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 c b)) | |
| accuracy | 0 | (*.f64 #s(literal -4 binary64) c) | |
| accuracy | 0.1171875 | (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) | |
| accuracy | 17.37667679610416 | (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) | |
| accuracy | 24.908670332113257 | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
| 69.0ms | 81× | 2 | valid |
| 34.0ms | 69× | 1 | valid |
| 30.0ms | 91× | 0 | valid |
| 13.0ms | 15× | 3 | valid |
Compiled 318 to 48 computations (84.9% saved)
ival-div: 28.0ms (29.1% of total)ival-mult: 24.0ms (25% of total)adjust: 16.0ms (16.6% of total)ival-add: 10.0ms (10.4% of total)ival-sub: 7.0ms (7.3% of total)ival-sqrt: 7.0ms (7.3% of total)ival-neg: 2.0ms (2.1% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) (patch (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (patch (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 c b)) (patch #s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 c b)) #<representation binary64>) () ()) |
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) (patch (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))) #<representation binary64>) () ()) |
#s(alt (/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a))) (patch (/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 a a)) (patch (neg.f64 (*.f64 a a)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) (patch #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) #<representation binary64>) () ()) |
#s(alt (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) (patch (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (patch (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (patch (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (patch #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #<representation binary64>) () ()) |
#s(alt (*.f64 a (*.f64 #s(literal -4 binary64) c)) (patch (*.f64 a (*.f64 #s(literal -4 binary64) c)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ()) |
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (patch (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (+ (* -1/2 b) (* 1/2 b)) a) (taylor 0 a) (#s(alt (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) (patch (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a) (taylor 0 a) (#s(alt (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) (patch (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a) (taylor 0 a) (#s(alt (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) (patch (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a) (taylor 0 a) (#s(alt (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) (patch (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf a) (#s(alt (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) (patch (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ b a)) (taylor -inf a) (#s(alt (/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a))) (patch (/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor -inf a) (#s(alt (/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a))) (patch (/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor -inf a) (#s(alt (/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a))) (patch (/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow a 2)) (taylor 0 a) (#s(alt (neg.f64 (*.f64 a a)) (patch (neg.f64 (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow a 2)) (taylor 0 a) (#s(alt (neg.f64 (*.f64 a a)) (patch (neg.f64 (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow a 2)) (taylor 0 a) (#s(alt (neg.f64 (*.f64 a a)) (patch (neg.f64 (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow a 2)) (taylor 0 a) (#s(alt (neg.f64 (*.f64 a a)) (patch (neg.f64 (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow a 2)) (taylor inf a) (#s(alt (neg.f64 (*.f64 a a)) (patch (neg.f64 (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow a 2)) (taylor inf a) (#s(alt (neg.f64 (*.f64 a a)) (patch (neg.f64 (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow a 2)) (taylor inf a) (#s(alt (neg.f64 (*.f64 a a)) (patch (neg.f64 (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow a 2)) (taylor inf a) (#s(alt (neg.f64 (*.f64 a a)) (patch (neg.f64 (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow a 2)) (taylor -inf a) (#s(alt (neg.f64 (*.f64 a a)) (patch (neg.f64 (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow a 2)) (taylor -inf a) (#s(alt (neg.f64 (*.f64 a a)) (patch (neg.f64 (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow a 2)) (taylor -inf a) (#s(alt (neg.f64 (*.f64 a a)) (patch (neg.f64 (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow a 2)) (taylor -inf a) (#s(alt (neg.f64 (*.f64 a a)) (patch (neg.f64 (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 a) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf a) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf a) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf c) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) (taylor inf c) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) (taylor inf c) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) (taylor inf c) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf c) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor 0 b) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor inf b) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor -inf b) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) (taylor -inf b) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* a c) b)) (taylor 0 a) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 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 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) (taylor inf a) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<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)))) (/ b a))) (taylor inf a) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) (taylor -inf a) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 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 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) (taylor inf c) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) (taylor inf c) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) (taylor -inf c) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor 0 b) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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))) (taylor 0 b) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* a c) b)) (taylor inf b) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -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) (taylor inf b) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 b) (taylor -inf b) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* 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)))))))) (taylor -inf b) (#s(alt (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (patch (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) #<representation binary64>) () ())) ()) |
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#s(alt (* -2 (/ (* a c) b)) (taylor -inf a) (#s(alt (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) (patch (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) (taylor -inf a) (#s(alt (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) (patch (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) (taylor -inf a) (#s(alt (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) (patch (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) (taylor -inf a) (#s(alt (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) (patch (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* a c) b)) (taylor 0 b) (#s(alt (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) (patch (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* a c)) (pow b 2)) b) (taylor 0 b) (#s(alt (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) (patch (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* a c)) (pow b 2)) b) (taylor 0 b) (#s(alt (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) (patch (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* a c)) (pow b 2)) b) (taylor 0 b) (#s(alt (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) (patch (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) #<representation binary64>) () ())) ()) |
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#s(alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) (patch (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) (patch (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) (taylor -inf b) (#s(alt (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) (patch (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) (taylor -inf b) (#s(alt (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) (patch (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) (taylor -inf b) (#s(alt (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) (patch (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 a) (#s(alt (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (patch (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (patch (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (patch (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (patch (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (taylor inf a) (#s(alt (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (patch (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) (taylor inf a) (#s(alt (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (patch (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))))) a) (taylor inf a) (#s(alt (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (patch (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))))) a) (taylor inf a) (#s(alt (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (patch (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf a) (#s(alt (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (patch (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a)) (taylor -inf a) (#s(alt (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (patch (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a))) a)) (taylor -inf a) (#s(alt (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (patch (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a))) a)) (taylor -inf a) (#s(alt (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (patch (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (patch (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (patch (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (patch (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (patch (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (taylor inf c) (#s(alt (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (patch (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) (taylor inf c) (#s(alt (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (patch (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) (taylor inf c) (#s(alt (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (patch (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 b) (taylor -inf b) (#s(alt (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (patch (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (patch (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) 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 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (patch (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) 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 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (patch (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #<representation binary64>) () ())) ()) |
156 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | inf | (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (* (* a 2) (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) |
| 1.0ms | a | @ | -inf | (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (* (* a 2) (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) |
| 1.0ms | c | @ | inf | (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (* (* a 2) (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) |
| 1.0ms | c | @ | -inf | (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (* (* a 2) (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) |
| 1.0ms | b | @ | -inf | (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (* (* a 2) (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) |
| 1× | egg-herbie |
| 11 686× | lower-fma.f64 |
| 11 686× | lower-fma.f32 |
| 8 040× | lower-*.f64 |
| 8 040× | lower-*.f32 |
| 5 774× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 936 | 11719 |
| 1 | 3097 | 11366 |
| 0 | 8536 | 10874 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* -1/2 b) (* 1/2 b)) a) |
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a) |
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a) |
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a) |
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -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 (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(+ (* -1/2 (/ b a)) (* 1/2 (/ b a))) |
(+ (* -1 (/ c b)) (+ (* -1/2 (/ b a)) (* 1/2 (/ b a)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))) |
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(/ b a) |
(/ (+ b (* -2 (/ (* a c) b))) a) |
(/ (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) a) |
(* (sqrt (/ c a)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -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)))) |
(+ (* -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 (/ c a)) (sqrt -1))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))) |
(/ b a) |
(+ (* -2 (/ c b)) (/ b a)) |
(+ (* c (- (* -2 (/ (* a c) (pow b 3))) (* 2 (/ 1 b)))) (/ b a)) |
(+ (* c (- (* c (+ (* -4 (/ (* (pow a 2) c) (pow b 5))) (* -2 (/ a (pow b 3))))) (* 2 (/ 1 b)))) (/ b a)) |
(* (sqrt (/ c a)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* -2 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))) |
(* (sqrt (/ c a)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(/ b a) |
(* b (+ (* -2 (/ c (pow b 2))) (/ 1 a))) |
(* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))) |
(* b (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -2 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
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))))) |
(* 1/2 (* (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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(/ b a) |
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))) |
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))) |
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(/ c b) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)) |
(/ b a) |
(/ (+ b (* -1 (/ (* a c) b))) a) |
(/ (+ b (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ b (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a) |
(* 1/2 (* (sqrt (/ c a)) (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)))) (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 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 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/2 b)) a))) |
(/ b a) |
(+ (* -1 (/ c b)) (/ b a)) |
(+ (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (/ b a)) |
(+ (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (/ b a)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))) |
(* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))) |
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* 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 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -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 (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -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)) |
(* -1 (pow a 2)) |
(* -1 (pow a 2)) |
(* -1 (pow a 2)) |
(* -1 (pow a 2)) |
(* -1 (pow a 2)) |
(* -1 (pow a 2)) |
(* -1 (pow a 2)) |
(* -1 (pow a 2)) |
(* -1 (pow a 2)) |
(* -1 (pow a 2)) |
(* -1 (pow a 2)) |
(* -1 (pow a 2)) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -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 (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (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 (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -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 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (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 (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -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)))))) |
(* (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 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) 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) |
(/ (+ (* -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) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* 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)))))))) |
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)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (/ b c))) |
(* c (+ (* -2 (/ a b)) (/ b c))) |
(* c (+ (* -2 (/ a b)) (/ b c))) |
(* -2 (/ (* a c) b)) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (/ b a))) |
(* a (+ (* -2 (/ c b)) (/ b a))) |
(* a (+ (* -2 (/ c b)) (/ b a))) |
(* -2 (/ (* a c) b)) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (pow b 2)) b) |
(/ (+ (* -2 (* a c)) (pow b 2)) b) |
(/ (+ (* -2 (* a c)) (pow b 2)) b) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
b |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) |
(* -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 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (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 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))))) a) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a))) a)) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b))) |
(* -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)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (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 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -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))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -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))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -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))) |
(* -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 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (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 (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a)))))) |
(* -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 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)) |
(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))))) |
(* -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 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
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)))))))) |
| Outputs |
|---|
(/ (+ (* -1/2 b) (* 1/2 b)) a) |
(/.f64 #s(literal 0 binary64) a) |
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a) |
(/.f64 (/.f64 (*.f64 (neg.f64 c) a) b) a) |
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a) |
(/.f64 (*.f64 a (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))) a) |
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a) |
(/.f64 (*.f64 a (fma.f64 a (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (neg.f64 (*.f64 b (*.f64 b b))))) (/.f64 c (neg.f64 b)))) a) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (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)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(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 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b #s(literal 1/2 binary64))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))) (*.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)))))) a)) a))) |
(+ (* -1/2 (/ b a)) (* 1/2 (/ b a))) |
#s(literal 0 binary64) |
(+ (* -1 (/ c b)) (+ (* -1/2 (/ b a)) (* 1/2 (/ b a)))) |
(/.f64 c (neg.f64 b)) |
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))) |
(fma.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)) #s(literal 0 binary64)) |
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))) |
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(* (sqrt (/ c a)) (sqrt -4)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) |
(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 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
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(fma.f64 (*.f64 b b) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
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(/ b a) |
(/.f64 b a) |
(* b (+ (* -2 (/ c (pow b 2))) (/ 1 a))) |
(*.f64 b (fma.f64 #s(literal -2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))) |
(* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))) |
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(* b (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(*.f64 b (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 a a)) (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) a)))) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (* b (+ (* -2 (/ c (pow b 2))) (/ 1 a)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) (neg.f64 b)) |
(* -1 (* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
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(* -1 (* b (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 a a)) (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) a))) (neg.f64 b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 a (/.f64 (*.f64 #s(literal -2 binary64) 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 a #s(literal -4 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -2 binary64) c) b)) 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)))) |
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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 (*.f64 #s(literal -2 binary64) (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)))))) |
(neg.f64 (*.f64 a (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (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)))))))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 a (/.f64 (*.f64 #s(literal -2 binary64) 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 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -2 binary64) a) b)) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 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) (/.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 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 c (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (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)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.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 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.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 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (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)))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))))) |
(* -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 (*.f64 #s(literal -1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))))) |
(* -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 #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 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))))))) |
(* (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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.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 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))))) |
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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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(* -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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(*.f64 b b) |
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)) (neg.f64 b)) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 b (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))) |
(+ (* 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))) |
(fma.f64 b (fma.f64 b (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (*.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)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) 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 -2 binary64) (fma.f64 a c (/.f64 (*.f64 (*.f64 c (*.f64 a a)) c) (*.f64 b b))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64)))) b) |
(/ (+ (* -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) |
(/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a c (/.f64 (*.f64 (*.f64 c (*.f64 a a)) c) (*.f64 b b))) (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 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))))) b) |
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)) (neg.f64 b)) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 c (*.f64 a a)) c) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (neg.f64 b)) |
(* -1 (* 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)))))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 c (*.f64 a a)) c) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal 2 binary64))) (neg.f64 b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 a (/.f64 (*.f64 #s(literal -2 binary64) 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 a #s(literal -4 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -2 binary64) c) b)) 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 #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 (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 #s(literal -1/8 binary64) (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)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (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 (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 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.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 #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 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 a c))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(neg.f64 (*.f64 a (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))))) (neg.f64 a)) |
(* -1 (* 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)))))))) |
(neg.f64 (*.f64 a (fma.f64 (*.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)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 a (/.f64 (*.f64 #s(literal -2 binary64) 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 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -2 binary64) a) b)) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 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) (/.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 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 c (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (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)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.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 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.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 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (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)))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))))) |
(* -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 (*.f64 #s(literal -1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))))) |
(* -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 #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 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))))))) |
(* (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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.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 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))))) |
(+ (* (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 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)) (*.f64 (*.f64 b b) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(fma.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) b) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(fma.f64 (*.f64 b #s(literal -2 binary64)) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 c (*.f64 a a)) c) (pow.f64 b #s(literal 4 binary64)))) b) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(fma.f64 b (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 c (*.f64 a a)) c) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64)))) b) |
(* -1 b) |
(neg.f64 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(neg.f64 (fma.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.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)))))))) |
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(*.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))))) (neg.f64 a)) |
(* -1 (* 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)))))))) |
(neg.f64 (*.f64 a (fma.f64 (*.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)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 a (/.f64 (*.f64 #s(literal -2 binary64) 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 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -2 binary64) a) b)) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 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) (/.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 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 c (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (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)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.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 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.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 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (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)))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))))) |
(* -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 (*.f64 #s(literal -1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))))) |
(* -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 #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 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))))))) |
(* (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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.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 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))))) |
(+ (* (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 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)) (*.f64 (*.f64 b b) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(fma.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) b) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(fma.f64 (*.f64 b #s(literal -2 binary64)) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 c (*.f64 a a)) c) (pow.f64 b #s(literal 4 binary64)))) b) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(fma.f64 b (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 c (*.f64 a a)) c) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64)))) b) |
(* -1 b) |
(neg.f64 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(neg.f64 (fma.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) 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 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 c (*.f64 a a)) c) (pow.f64 b #s(literal 4 binary64)))) b)) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 c (*.f64 a a)) c) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 b)) |
| 5 600× | lower-*.f32 |
| 5 582× | lower-*.f64 |
| 4 378× | lower-/.f32 |
| 4 362× | lower-/.f64 |
| 3 964× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 290 |
| 0 | 86 | 280 |
| 1 | 347 | 272 |
| 2 | 2696 | 266 |
| 0 | 9323 | 266 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 c b)) |
(/.f64 c b) |
(*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))) |
(/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a))) |
(neg.f64 (*.f64 a a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) |
#s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) |
(fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b) |
(/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) |
#s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(*.f64 a (*.f64 #s(literal -4 binary64) c)) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 a a) |
(sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
| Outputs |
|---|
(+.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) |
(+.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64))) (*.f64 a a)) (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) (/.f64 b #s(literal -2 binary64))) a)) (/.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a #s(literal -2 binary64)))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) (/.f64 b #s(literal -2 binary64))) a))) |
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (/.f64 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 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal -2 binary64) b) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 #s(literal -1 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 b)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) 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 b a) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 a (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -2 binary64) b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) |
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(+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(+.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)) |
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(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 1/2 binary64))) |
(fabs.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
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(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 a (*.f64 #s(literal 4 binary64) c) (*.f64 b b))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (fma.f64 a (*.f64 #s(literal 4 binary64) c) (*.f64 b b)))) |
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(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
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(fma.f64 #s(literal -1 binary64) (*.f64 b b) #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (fma.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (fma.f64 b b #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b))))) |
(/.f64 (fma.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(/.f64 (fma.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (neg.f64 (*.f64 b b)))))) |
(/.f64 (*.f64 (fma.f64 b b #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b))) (fma.f64 b b #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(/.f64 (*.f64 (fma.f64 b b #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b))) (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (neg.f64 (*.f64 b b)))) |
(/.f64 (neg.f64 (fma.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (fma.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 b b #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)))) (neg.f64 (fma.f64 b b #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (fma.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (fma.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (fma.f64 b b #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 (fma.f64 b b #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (fma.f64 b b #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (fma.f64 b b #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (fma.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 b b #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (fma.f64 b b #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(*.f64 (*.f64 (fma.f64 b b #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(exp.f64 (log.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal 1/2 binary64))) |
(fabs.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
(sqrt.f64 (*.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
#s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(pow.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal 4 binary64)))) |
(neg.f64 (*.f64 c (*.f64 a #s(literal 4 binary64)))) |
(*.f64 a (*.f64 #s(literal -4 binary64) c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(*.f64 (*.f64 #s(literal -4 binary64) c) a) |
(*.f64 #s(literal 4 binary64) (neg.f64 (*.f64 a c))) |
(*.f64 (*.f64 a #s(literal 4 binary64)) (neg.f64 c)) |
(*.f64 #s(literal -1 binary64) (*.f64 c (*.f64 a #s(literal 4 binary64)))) |
(*.f64 (neg.f64 c) (*.f64 a #s(literal 4 binary64))) |
(*.f64 (*.f64 a #s(literal -4 binary64)) c) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 c #s(literal -4 binary64)) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) |
(pow.f64 a #s(literal 2 binary64)) |
(pow.f64 (*.f64 a a) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64)) |
(*.f64 a a) |
(*.f64 (*.f64 a a) #s(literal 1 binary64)) |
(*.f64 (neg.f64 a) (neg.f64 a)) |
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(fabs.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
(pow.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (pow.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (sqrt.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
Compiled 42 429 to 3 493 computations (91.8% saved)
37 alts after pruning (28 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 423 | 13 | 1 436 |
| Fresh | 8 | 15 | 23 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 433 | 37 | 1 470 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 53.0% | (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
| 8.7% | (fma.f64 (/.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b) b)) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) | |
| 13.3% | (/.f64 (fma.f64 (/.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 a (*.f64 (/.f64 #s(literal -2 binary64) b) c) b)) #s(literal 2 binary64)) (/.f64 #s(literal -2 binary64) (/.f64 b a)) a) (*.f64 a (/.f64 #s(literal -2 binary64) (/.f64 b a)))) | |
| 44.6% | (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) a (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) b) a)) | |
| 33.2% | (/.f64 (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) | |
| 33.2% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 25.6% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) | |
| ✓ | 53.1% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 34.2% | (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 11.4% | (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) |
| 27.0% | (/.f64 #s(approx (- (+ (* a (* -4 c)) (* b b)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) | |
| 11.4% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 a (*.f64 (/.f64 #s(literal -2 binary64) b) c) b)) b))) | |
| 25.6% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) | |
| 27.9% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b))) | |
| ✓ | 53.0% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) |
| 34.1% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)) | |
| 28.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)))) | |
| 2.3% | #s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 (neg.f64 a) (neg.f64 b))) (*.f64 (neg.f64 a) a))) | |
| ✓ | 10.8% | #s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 c b)) |
| ✓ | 2.7% | #s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 b a)) |
| 2.7% | #s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) | |
| 7.2% | #s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))) | |
| 36.3% | #s(approx (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (* (* a 2) (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c (neg.f64 b))) | |
| 32.3% | #s(approx (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (* (* a 2) (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (neg.f64 b))) | |
| 32.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))) | |
| 27.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 a b)) a) (*.f64 a (/.f64 a b)))) | |
| 16.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (pow.f64 (pow.f64 (neg.f64 a) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) | |
| ✓ | 32.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)))) |
| 32.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 a)) a))) | |
| 27.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (*.f64 a a) (/.f64 #s(literal -1 binary64) a)))) | |
| ✓ | 32.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) |
| 15.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (exp.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 a))) #s(literal -1 binary64))))) | |
| 32.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) | |
| 32.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b)) | |
| 16.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 a) b)) #s(literal -1 binary64)))) | |
| 28.9% | #s(approx (+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) 1/2) (/ b (* a -2))) (/.f64 (/.f64 (*.f64 (neg.f64 c) a) b) a)) | |
| 11.1% | #s(approx (+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) 1/2) (/ b (* a -2))) #s(literal 0 binary64)) |
Compiled 1 620 to 592 computations (63.5% saved)
| Inputs |
|---|
#s(approx (+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) 1/2) (/ b (* a -2))) #s(literal 0 binary64)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 b a)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 c b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (* (* a 2) (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) |
#s(approx (+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) 1/2) (/ b (* a -2))) (/.f64 (/.f64 (*.f64 (neg.f64 c) a) b) a)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 (-.f64 b (*.f64 a (/.f64 c b))) a)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (*.f64 a a) (/.f64 #s(literal -1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 a)) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 (neg.f64 a) (neg.f64 b))) (*.f64 (neg.f64 a) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (* 2 a)) (neg.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))) |
#s(approx (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (* (* a 2) (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (neg.f64 b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 a (*.f64 b #s(literal -1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c b)) b)) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 a b)) a) (*.f64 a (/.f64 a b)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 a (*.f64 (/.f64 #s(literal -2 binary64) b) c) b)) b))) |
(/.f64 #s(approx (- (+ (* a (* -4 c)) (* b b)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(fma.f64 (/.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b) b)) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) a)) |
(fma.f64 (/.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) a (*.f64 a (*.f64 b #s(literal 1/2 binary64)))) (*.f64 a a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(/.f64 (/.f64 (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 a #s(literal 2 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (-.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 a #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) a (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) b) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b))) |
(/.f64 (fma.f64 (/.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 a (*.f64 (/.f64 #s(literal -2 binary64) b) c) b)) #s(literal 2 binary64)) (/.f64 #s(literal -2 binary64) (/.f64 b a)) a) (*.f64 a (/.f64 #s(literal -2 binary64) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (pow.f64 (pow.f64 (neg.f64 a) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 a (neg.f64 b))) #s(literal -1 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 a) b)) #s(literal -1 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (exp.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 a))) #s(literal -1 binary64))))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
4 calls:
| 52.0ms | a |
| 45.0ms | b |
| 21.0ms | c |
| 17.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.1% | 1 | a |
| 83.5% | 3 | b |
| 53.1% | 1 | c |
| 75.9% | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
Compiled 32 to 23 computations (28.1% saved)
| Inputs |
|---|
#s(approx (+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) 1/2) (/ b (* a -2))) #s(literal 0 binary64)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 b a)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 c b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (* (* a 2) (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) |
#s(approx (+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) 1/2) (/ b (* a -2))) (/.f64 (/.f64 (*.f64 (neg.f64 c) a) b) a)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 (-.f64 b (*.f64 a (/.f64 c b))) a)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (*.f64 a a) (/.f64 #s(literal -1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 a)) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 (neg.f64 a) (neg.f64 b))) (*.f64 (neg.f64 a) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (* 2 a)) (neg.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))) |
#s(approx (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (* (* a 2) (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (neg.f64 b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 a (*.f64 b #s(literal -1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c b)) b)) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 a b)) a) (*.f64 a (/.f64 a b)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 a (*.f64 (/.f64 #s(literal -2 binary64) b) c) b)) b))) |
(/.f64 #s(approx (- (+ (* a (* -4 c)) (* b b)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(fma.f64 (/.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b) b)) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) a)) |
(fma.f64 (/.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
1 calls:
| 12.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.5% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) 1/2) (/ b (* a -2))) #s(literal 0 binary64)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 b a)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 c b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (* (* a 2) (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) |
#s(approx (+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) 1/2) (/ b (* a -2))) (/.f64 (/.f64 (*.f64 (neg.f64 c) a) b) a)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 (-.f64 b (*.f64 a (/.f64 c b))) a)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (*.f64 a a) (/.f64 #s(literal -1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 a)) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 (neg.f64 a) (neg.f64 b))) (*.f64 (neg.f64 a) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (* 2 a)) (neg.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))) |
#s(approx (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (* (* a 2) (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (neg.f64 b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 a (*.f64 b #s(literal -1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c b)) b)) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 a b)) a) (*.f64 a (/.f64 a b)))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
1 calls:
| 11.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.5% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) 1/2) (/ b (* a -2))) #s(literal 0 binary64)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 b a)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 c b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (* (* a 2) (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) |
#s(approx (+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) 1/2) (/ b (* a -2))) (/.f64 (/.f64 (*.f64 (neg.f64 c) a) b) a)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 (-.f64 b (*.f64 a (/.f64 c b))) a)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (*.f64 a a) (/.f64 #s(literal -1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 a)) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 (neg.f64 a) (neg.f64 b))) (*.f64 (neg.f64 a) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (* 2 a)) (neg.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))) |
#s(approx (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (* (* a 2) (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (neg.f64 b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 a (*.f64 b #s(literal -1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c b)) b)) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
1 calls:
| 32.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.4% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) 1/2) (/ b (* a -2))) #s(literal 0 binary64)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 b a)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 c b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (* (* a 2) (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) |
#s(approx (+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) 1/2) (/ b (* a -2))) (/.f64 (/.f64 (*.f64 (neg.f64 c) a) b) a)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 (-.f64 b (*.f64 a (/.f64 c b))) a)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (*.f64 a a) (/.f64 #s(literal -1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 a)) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 (neg.f64 a) (neg.f64 b))) (*.f64 (neg.f64 a) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (* 2 a)) (neg.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))) |
#s(approx (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (* (* a 2) (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (neg.f64 b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 a (*.f64 b #s(literal -1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c b)) b)) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* -4 c)) (* b b))) (fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
1 calls:
| 42.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.6% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) 1/2) (/ b (* a -2))) #s(literal 0 binary64)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 b a)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 c b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (* (* a 2) (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) |
#s(approx (+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) 1/2) (/ b (* a -2))) (/.f64 (/.f64 (*.f64 (neg.f64 c) a) b) a)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 (-.f64 b (*.f64 a (/.f64 c b))) a)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (*.f64 a a) (/.f64 #s(literal -1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 a)) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 (neg.f64 a) (neg.f64 b))) (*.f64 (neg.f64 a) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (* 2 a)) (neg.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))) |
#s(approx (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (* (* a 2) (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (neg.f64 b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 a (*.f64 b #s(literal -1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
1 calls:
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.5% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) 1/2) (/ b (* a -2))) #s(literal 0 binary64)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 b a)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 c b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (* (* a 2) (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) |
#s(approx (+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) 1/2) (/ b (* a -2))) (/.f64 (/.f64 (*.f64 (neg.f64 c) a) b) a)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 (-.f64 b (*.f64 a (/.f64 c b))) a)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (*.f64 a a) (/.f64 #s(literal -1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 a)) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 (neg.f64 a) (neg.f64 b))) (*.f64 (neg.f64 a) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (* 2 a)) (neg.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))) |
#s(approx (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (* (* a 2) (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (neg.f64 b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 a (*.f64 b #s(literal -1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* a (* -4 c)) (* b b))) b) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
2 calls:
| 29.0ms | b |
| 7.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.1% | 3 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 66.8% | 2 | b |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) 1/2) (/ b (* a -2))) #s(literal 0 binary64)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 b a)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 c b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) |
#s(approx (+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) 1/2) (/ b (* a -2))) #s(literal 0 binary64)) |
4 calls:
| 22.0ms | b |
| 2.0ms | c |
| 2.0ms | a |
| 2.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.1% | 3 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 32.9% | 1 | c |
| 32.9% | 1 | a |
| 41.4% | 2 | b |
Compiled 32 to 23 computations (28.1% saved)
Total -6.2b remaining (-10.8%)
Threshold costs -6.2b (-10.8%)
| Inputs |
|---|
#s(approx (+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) 1/2) (/ b (* a -2))) #s(literal 0 binary64)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 b a)) |
#s(approx (/ (/ 1 (/ 1 (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (* 2 a)) (/.f64 c b)) |
| Outputs |
|---|
#s(approx (+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) 1/2) (/ b (* a -2))) #s(literal 0 binary64)) |
4 calls:
| 2.0ms | a |
| 2.0ms | b |
| 2.0ms | c |
| 2.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 11.1% | 1 | a |
| 11.1% | 1 | c |
| 11.1% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 11.1% | 1 | b |
Compiled 32 to 23 computations (28.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 63.0ms | 9.592073834251742e-53 | 5.902969920453988e-46 |
| 45.0ms | -5.1760566332768504e+101 | -9.55108188513799e+88 |
| 44.0ms | 235× | 0 | valid |
| 21.0ms | 40× | 1 | valid |
| 6.0ms | 29× | 2 | valid |
| 2.0ms | 25× | 0 | invalid |
Compiled 612 to 419 computations (31.5% saved)
ival-sqrt: 29.0ms (45.7% of total)ival-div: 19.0ms (30% of total)ival-mult: 8.0ms (12.6% of total)adjust: 2.0ms (3.2% of total)ival-sub: 2.0ms (3.2% of total)ival-add: 2.0ms (3.2% of total)ival-neg: 2.0ms (3.2% 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 | 9.592073834251742e-53 | 5.902969920453988e-46 |
| 1.0ms | -5.1760566332768504e+101 | -9.55108188513799e+88 |
Compiled 593 to 419 computations (29.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.592073834251742e-53 | 5.902969920453988e-46 |
| 1.0ms | -5.1760566332768504e+101 | -9.55108188513799e+88 |
Compiled 555 to 381 computations (31.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.592073834251742e-53 | 5.902969920453988e-46 |
| 30.0ms | -5.2648171458778144e+67 | -2.866151888704963e+66 |
| 25.0ms | 112× | 0 | valid |
| 1.0ms | 8× | 0 | invalid |
Compiled 471 to 324 computations (31.2% saved)
ival-mult: 19.0ms (85.7% of total)ival-div: 1.0ms (4.5% of total)ival-add: 1.0ms (4.5% of total)ival-sub: 1.0ms (4.5% of total)ival-sqrt: 1.0ms (4.5% of total)ival-neg: 1.0ms (4.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.592073834251742e-53 | 5.902969920453988e-46 |
| 60.0ms | -2.3311560529676678e-32 | -2.5280284793913974e-33 |
| 7.0ms | 96× | 0 | valid |
| 1.0ms | 13× | 0 | invalid |
Compiled 455 to 308 computations (32.3% saved)
ival-mult: 3.0ms (52.2% of total)ival-div: 1.0ms (17.4% of total)ival-sqrt: 1.0ms (17.4% of total)ival-neg: 1.0ms (17.4% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 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 | 9.592073834251742e-53 | 5.902969920453988e-46 |
| 1.0ms | -2.3311560529676678e-32 | -2.5280284793913974e-33 |
Compiled 455 to 308 computations (32.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 7.919001788306163e-300 | 7.824686657009729e-298 |
| 24.0ms | 112× | 0 | valid |
| 6.0ms | 69× | 0 | invalid |
Compiled 149 to 104 computations (30.2% saved)
ival-mult: 4.0ms (42.6% of total)ival-div: 1.0ms (10.6% of total)ival-add: 1.0ms (10.6% of total)ival-sub: 1.0ms (10.6% of total)ival-sqrt: 1.0ms (10.6% of total)ival-neg: 1.0ms (10.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 1.2284137633160223e-130 | 5.535093604696738e-129 |
| 6.0ms | 78× | 0 | valid |
| 6.0ms | 51× | 0 | invalid |
| 3.0ms | 24× | 1 | valid |
| 2.0ms | 10× | 2 | valid |
Compiled 128 to 97 computations (24.2% saved)
ival-mult: 4.0ms (30.7% of total)ival-sub: 3.0ms (23% of total)ival-div: 1.0ms (7.7% of total)adjust: 1.0ms (7.7% of total)ival-sqrt: 1.0ms (7.7% of total)ival-add: 1.0ms (7.7% of total)ival-neg: 1.0ms (7.7% 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 |
| 34× | *-commutative_binary64 |
| 28× | +-commutative_binary64 |
| 28× | sub-neg_binary64 |
| 18× | neg-sub0_binary64 |
| 18× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 553 |
| 1 | 124 | 552 |
| 2 | 155 | 552 |
| 3 | 171 | 552 |
| 4 | 180 | 552 |
| 5 | 182 | 552 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b #s(literal -194999999999999992416384859161674129075995279467579000567498272589315489172354177121889096095561154560 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 7548785066802179/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))) |
(if (<=.f64 b #s(literal -194999999999999992416384859161674129075995279467579000567498272589315489172354177121889096095561154560 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 7548785066802179/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))) |
(if (<=.f64 b #s(literal -194999999999999992416384859161674129075995279467579000567498272589315489172354177121889096095561154560 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 7548785066802179/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))) |
(if (<=.f64 b #s(literal -52000000000000000898205552715978617138334793394789422401811073990656 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 7548785066802179/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))) |
(if (<=.f64 b #s(literal -4530655075725799/730750818665451459101842416358141509827966271488 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal 7548785066802179/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))) |
(if (<=.f64 b #s(literal -4530655075725799/730750818665451459101842416358141509827966271488 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal 7548785066802179/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))) |
(if (<=.f64 b #s(literal 6032057205060441/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))) |
(if (<=.f64 b #s(literal 390218568789499/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) #s(approx (+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) 1/2) (/ b (* a -2))) #s(literal 0 binary64))) |
#s(approx (+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) 1/2) (/ b (* a -2))) #s(literal 0 binary64)) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -194999999999999992416384859161674129075995279467579000567498272589315489172354177121889096095561154560 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 7548785066802179/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))) |
(if (<=.f64 b #s(literal -194999999999999992416384859161674129075995279467579000567498272589315489172354177121889096095561154560 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 b a))) (if (<=.f64 b #s(literal 7548785066802179/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))) |
(if (<=.f64 b #s(literal -194999999999999992416384859161674129075995279467579000567498272589315489172354177121889096095561154560 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 7548785066802179/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))) |
(if (<=.f64 b #s(literal -194999999999999992416384859161674129075995279467579000567498272589315489172354177121889096095561154560 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 b a))) (if (<=.f64 b #s(literal 7548785066802179/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal 4 binary64) a)))) b) (*.f64 a #s(literal 2 binary64))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))) |
(if (<=.f64 b #s(literal -194999999999999992416384859161674129075995279467579000567498272589315489172354177121889096095561154560 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 7548785066802179/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))) |
(if (<=.f64 b #s(literal -194999999999999992416384859161674129075995279467579000567498272589315489172354177121889096095561154560 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 b a))) (if (<=.f64 b #s(literal 7548785066802179/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))) |
(if (<=.f64 b #s(literal -52000000000000000898205552715978617138334793394789422401811073990656 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 7548785066802179/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))) |
(if (<=.f64 b #s(literal -52000000000000000898205552715978617138334793394789422401811073990656 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 b a))) (if (<=.f64 b #s(literal 7548785066802179/6739986666787659948666753771754907668409286105635143120275902562304 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))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))) |
(if (<=.f64 b #s(literal -4530655075725799/730750818665451459101842416358141509827966271488 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal 7548785066802179/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))) |
(if (<=.f64 b #s(literal -4530655075725799/730750818665451459101842416358141509827966271488 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))) (if (<=.f64 b #s(literal 7548785066802179/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))) |
(if (<=.f64 b #s(literal -4530655075725799/730750818665451459101842416358141509827966271488 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal 7548785066802179/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))) |
(if (<=.f64 b #s(literal -4530655075725799/730750818665451459101842416358141509827966271488 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))) (if (<=.f64 b #s(literal 7548785066802179/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))) |
(if (<=.f64 b #s(literal 6032057205060441/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))) |
(if (<=.f64 b #s(literal 6032057205060441/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))) |
(if (<=.f64 b #s(literal 390218568789499/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) #s(approx (+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) 1/2) (/ b (* a -2))) #s(literal 0 binary64))) |
(if (<=.f64 b #s(literal 390218568789499/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 b a))) #s(approx (+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) 1/2) (/ b (* a -2))) #s(literal 0 binary64))) |
#s(approx (+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) 1/2) (/ b (* a -2))) #s(literal 0 binary64)) |
| 11 686× | lower-fma.f64 |
| 11 686× | lower-fma.f32 |
| 11 458× | lower-fma.f64 |
| 11 458× | lower-fma.f32 |
| 8 040× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 210 |
| 0 | 76 | 196 |
| 1 | 291 | 190 |
| 2 | 2142 | 190 |
| 0 | 8583 | 190 |
| 0 | 39 | 221 |
| 0 | 59 | 213 |
| 1 | 230 | 207 |
| 2 | 1676 | 207 |
| 0 | 8822 | 207 |
| 0 | 545 | 3273 |
| 1 | 1738 | 3232 |
| 2 | 6083 | 3204 |
| 0 | 8243 | 3047 |
| 0 | 936 | 11719 |
| 1 | 3097 | 11366 |
| 0 | 8536 | 10874 |
| 0 | 1129 | 12462 |
| 1 | 3756 | 12044 |
| 0 | 8413 | 11555 |
| 0 | 14 | 51 |
| 0 | 23 | 51 |
| 1 | 76 | 49 |
| 2 | 536 | 48 |
| 3 | 6864 | 48 |
| 0 | 8158 | 44 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 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 |
Compiled 1 022 to 445 computations (56.5% saved)
Compiled 524 to 164 computations (68.7% saved)
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