
Time bar (total: 11.1s)
| 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 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 5 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 6 |
| 46.9% | 46.8% | 53.1% | 0.1% | 0% | 0% | 0% | 7 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 8 |
| 71.1% | 71% | 28.9% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 85% | 84.9% | 15% | 0.1% | 0% | 0% | 0% | 11 |
| 87.9% | 87.8% | 12.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 23 to 17 computations (26.1% saved)
| 808.0ms | 8 256× | 0 | valid |
ival-div: 270.0ms (44.9% of total)ival-mult: 202.0ms (33.6% of total)ival-sub: 77.0ms (12.8% of total)ival-pi: 35.0ms (5.8% of total)exact: 8.0ms (1.3% of total)ival-true: 6.0ms (1% of total)ival-assert: 3.0ms (0.5% of total)| 1× | egg-herbie |
| 8 062× | lower-fma.f64 |
| 8 062× | lower-fma.f32 |
| 4 668× | lower-*.f32 |
| 4 660× | lower-*.f64 |
| 2 098× | lower-neg.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 109 |
| 1 | 115 | 95 |
| 2 | 418 | 95 |
| 3 | 2087 | 95 |
| 4 | 6060 | 95 |
| 0 | 15 | 21 |
| 0 | 26 | 21 |
| 1 | 46 | 19 |
| 2 | 108 | 19 |
| 3 | 393 | 18 |
| 4 | 1569 | 17 |
| 5 | 4280 | 17 |
| 0 | 8405 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a)))) |
(sort a b)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 27 | 0 | - | 1 | (3.2217398453174146e-132 1.4498046100825657e+160) | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 11 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 a a)) |
| 4 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
| 0 | 0 | - | 0 | - | (*.f64 a a) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (/.f64 (PI.f64) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) b) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) a) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
| 0 | 0 | - | 0 | - | (PI.f64) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) | n*u | 26 | 0 |
-.f64 | (-.f64 (*.f64 b b) (*.f64 a a)) | nan-rescue | 11 | 0 |
| ↳ | (*.f64 b b) | overflow | 60 | |
| ↳ | (*.f64 a a) | overflow | 65 | |
/.f64 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) | n/o | 4 | 0 |
| ↳ | (*.f64 b b) | overflow | 60 | |
| ↳ | (*.f64 a a) | overflow | 65 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 a a)) | overflow | 114 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 40 | 3 |
| - | 1 | 212 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 40 | 0 | 3 |
| - | 1 | 0 | 212 |
| number | freq |
|---|---|
| 0 | 215 |
| 1 | 41 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 55.0ms | 512× | 0 | valid |
Compiled 204 to 64 computations (68.6% saved)
ival-div: 14.0ms (42.6% of total)ival-mult: 11.0ms (33.4% of total)ival-sub: 4.0ms (12.2% of total)ival-pi: 2.0ms (6.1% of total)exact: 1.0ms (3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 83.6% | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
Compiled 23 to 15 computations (34.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 a a)) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
| ✓ | cost-diff | 320 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| ✓ | cost-diff | 384 | (/.f64 (PI.f64) #s(literal 2 binary64)) |
| 8 062× | lower-fma.f64 |
| 8 062× | lower-fma.f32 |
| 4 668× | lower-*.f32 |
| 4 660× | lower-*.f64 |
| 2 098× | lower-neg.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 77 |
| 0 | 26 | 77 |
| 1 | 46 | 73 |
| 2 | 108 | 73 |
| 3 | 393 | 72 |
| 4 | 1569 | 71 |
| 5 | 4280 | 71 |
| 0 | 8405 | 71 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) |
#s(literal 1 binary64) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 b b) |
b |
(*.f64 a a) |
a |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) b) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a)))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(/.f64 (PI.f64) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a)))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 b a) (-.f64 a b))) |
#s(literal 1 binary64) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (+.f64 b a) (-.f64 b a)) |
(*.f64 b b) |
b |
(*.f64 a a) |
a |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) b) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
| ✓ | accuracy | 98.9% | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) |
| ✓ | accuracy | 96.1% | (-.f64 (*.f64 b b) (*.f64 a a)) |
| ✓ | accuracy | 90.0% | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 26.0ms | 256× | 0 | valid |
Compiled 79 to 17 computations (78.5% saved)
ival-div: 7.0ms (40.5% of total)ival-mult: 7.0ms (40.5% of total)ival-sub: 2.0ms (11.6% of total)ival-pi: 1.0ms (5.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (PI.f64) #s(literal 2 binary64))> |
#<alt (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))> |
#<alt (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))> |
#<alt (-.f64 (*.f64 b b) (*.f64 a a))> |
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))> |
| Outputs |
|---|
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (* -1/2 (/ (PI) (pow a 2)))> |
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))> |
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))> |
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))> |
#<alt (* 1/2 (/ (PI) (pow b 2)))> |
#<alt (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))> |
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))> |
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (pow b 2)))> |
#<alt (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))> |
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))> |
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (pow b 2)))> |
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))> |
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))> |
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))> |
#<alt (* -1/2 (/ (PI) (pow a 2)))> |
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))> |
#<alt (* -1/2 (/ (PI) (pow a 2)))> |
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))> |
#<alt (* -1 (pow a 2))> |
#<alt (- (pow b 2) (pow a 2))> |
#<alt (- (pow b 2) (pow a 2))> |
#<alt (- (pow b 2) (pow a 2))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (+ (* -1 (pow a 2)) (pow b 2))> |
#<alt (+ (* -1 (pow a 2)) (pow b 2))> |
#<alt (+ (* -1 (pow a 2)) (pow b 2))> |
#<alt (* -1 (pow a 2))> |
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))> |
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))> |
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))> |
#<alt (* -1 (pow a 2))> |
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))> |
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))> |
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))> |
#<alt (/ -1 (pow a 2))> |
#<alt (- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))> |
#<alt (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))> |
#<alt (- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))> |
#<alt (/ 1 (pow b 2))> |
#<alt (/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))> |
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))> |
#<alt (/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))> |
#<alt (/ 1 (pow b 2))> |
#<alt (/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))> |
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))> |
#<alt (/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))> |
#<alt (/ 1 (pow b 2))> |
#<alt (+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))> |
#<alt (+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))> |
#<alt (+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))> |
#<alt (/ -1 (pow a 2))> |
#<alt (/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))> |
#<alt (/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))> |
#<alt (/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))> |
#<alt (/ -1 (pow a 2))> |
#<alt (/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))> |
#<alt (/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))> |
#<alt (/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | 0 | (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) |
| 1.0ms | b | @ | 0 | (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) |
| 1.0ms | a | @ | inf | (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) |
| 1.0ms | a | @ | 0 | (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) |
| 1.0ms | b | @ | inf | (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) |
| 1× | batch-egg-rewrite |
| 6 700× | lower-*.f32 |
| 6 692× | lower-*.f64 |
| 4 958× | lower-fma.f64 |
| 4 958× | lower-fma.f32 |
| 2 990× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 53 |
| 0 | 26 | 49 |
| 1 | 124 | 49 |
| 2 | 1123 | 49 |
| 0 | 9193 | 49 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(neg.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (PI.f64))) |
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1 binary64)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))) |
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (neg.f64 (cbrt.f64 (PI.f64))) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(+.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b))) |
(+.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a)) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a)) |
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a)) |
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b))) |
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b))) |
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) a) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b))) |
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a)) |
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a)) |
(fma.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b))) |
(fma.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a)) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a)) |
(fma.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b))) |
(fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a)) |
(fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a)) |
(fma.f64 (pow.f64 a #s(literal -1/2 binary64)) (*.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) a) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a) #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a))))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a))))) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a)) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
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(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))))) |
(fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))))) |
(fma.f64 (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))))) |
(fma.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 (*.f64 b (*.f64 b (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 b (*.f64 b (*.f64 b b))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 b (*.f64 b (*.f64 a a))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 b b) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 a a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 a a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 b b))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 b (neg.f64 b) (*.f64 a a))) |
(/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a))))) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) |
(/.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) |
(/.f64 (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))))) (neg.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))))) |
(/.f64 (neg.f64 (fma.f64 b b (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b (neg.f64 b) (*.f64 a a)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a))) (+.f64 (neg.f64 b) a)) |
(pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (-.f64 b a) (+.f64 b a)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))))) |
(*.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 b a))) |
(*.f64 (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a))))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 b b (*.f64 a a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 12 618× | lower-fma.f64 |
| 12 618× | lower-fma.f32 |
| 5 734× | lower-*.f64 |
| 5 734× | lower-*.f32 |
| 2 064× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 291 | 1696 |
| 1 | 768 | 1666 |
| 2 | 2295 | 1612 |
| 3 | 6383 | 1612 |
| 0 | 8341 | 1525 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(* -1/2 (/ (PI) (pow a 2))) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4)))) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6)))))) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8)))))))) |
(* 1/2 (/ (PI) (pow b 2))) |
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2)) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2)) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2)) |
(* 1/2 (/ (PI) (pow b 2))) |
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2)) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2)) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2)) |
(* 1/2 (/ (PI) (pow b 2))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4)))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6)))))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8)))))))) |
(* -1/2 (/ (PI) (pow a 2))) |
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2)) |
(* -1/2 (/ (PI) (pow a 2))) |
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2)) |
(* -1 (pow a 2)) |
(- (pow b 2) (pow a 2)) |
(- (pow b 2) (pow a 2)) |
(- (pow b 2) (pow a 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2))))) |
(pow b 2) |
(+ (* -1 (pow a 2)) (pow b 2)) |
(+ (* -1 (pow a 2)) (pow b 2)) |
(+ (* -1 (pow a 2)) (pow b 2)) |
(* -1 (pow a 2)) |
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) |
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) |
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) |
(* -1 (pow a 2)) |
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) |
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) |
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) |
(/ -1 (pow a 2)) |
(- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2))) |
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) |
(- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) |
(/ 1 (pow b 2)) |
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2)) |
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2)) |
(/ 1 (pow b 2)) |
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2)) |
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2)) |
(/ 1 (pow b 2)) |
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4))) |
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2))) |
(+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) |
(/ -1 (pow a 2)) |
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2)) |
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2)) |
(/ -1 (pow a 2)) |
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2)) |
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2)) |
| Outputs |
|---|
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/.f64 (fma.f64 (PI.f64) (*.f64 (/.f64 b (*.f64 a (*.f64 a a))) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (PI.f64) (*.f64 a a))) (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) (*.f64 a (*.f64 a a)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))) b) |
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(/.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)) |
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 a (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b b)) |
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 a (/.f64 a (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4))) |
(/.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)) |
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2))) |
(fma.f64 a (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (/.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))) |
(+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) |
(fma.f64 a (*.f64 (fma.f64 a (/.f64 a (pow.f64 b #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a (*.f64 a a))) (/.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))) |
(/ -1 (pow a 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 a a)) |
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2)) |
(/.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a (neg.f64 a))) |
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 a a)) |
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a)) |
(/ -1 (pow a 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 a a)) |
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2)) |
(/.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a (neg.f64 a))) |
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 a a)) |
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a)) |
Compiled 22 370 to 2 044 computations (90.9% saved)
23 alts after pruning (23 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 656 | 23 | 679 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 657 | 23 | 680 |
| Status | Accuracy | Program |
|---|---|---|
| 91.5% | (fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b))) | |
| 51.3% | (/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 b b)) | |
| 53.8% | (/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.f64 a a)) | |
| 83.1% | (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) | |
| 79.8% | (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 b (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))))) | |
| 88.7% | (/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 b a)) | |
| 49.5% | (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b)) | |
| ▶ | 50.7% | (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a)) |
| 57.1% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) | |
| ▶ | 64.0% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
| 76.7% | (/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)) b) a)) | |
| 99.6% | (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) | |
| 83.1% | (*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) | |
| 89.1% | (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))) | |
| ▶ | 99.6% | (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a)))) |
| 99.5% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 b a))))) | |
| 83.1% | (*.f64 (-.f64 b a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))))) | |
| ▶ | 99.6% | (*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
| 83.0% | (*.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) | |
| 79.6% | (*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))))) | |
| 83.6% | (*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) | |
| ▶ | 50.7% | (*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 89.0% | (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 (-.f64 b a) (*.f64 b a)))) |
Compiled 962 to 588 computations (38.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 b a) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 b a) (*.f64 b a)) |
| ✓ | cost-diff | 384 | (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) |
| ✓ | cost-diff | 1408 | (*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) |
| ✓ | cost-diff | 384 | (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
| ✓ | cost-diff | 384 | (*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) |
| ✓ | cost-diff | 64 | (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a)) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 a b)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) (+.f64 b a)) |
| ✓ | cost-diff | 384 | (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a)))) |
| ✓ | cost-diff | 1408 | (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a))) |
| 8 314× | lower-fma.f64 |
| 8 314× | lower-fma.f32 |
| 4 874× | lower-*.f32 |
| 4 850× | lower-*.f64 |
| 3 380× | lower-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 239 |
| 0 | 59 | 237 |
| 1 | 126 | 237 |
| 2 | 331 | 237 |
| 3 | 1051 | 213 |
| 4 | 3524 | 212 |
| 0 | 8383 | 212 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a)))) |
(/.f64 (PI.f64) (+.f64 b a)) |
(PI.f64) |
(+.f64 b a) |
b |
a |
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (-.f64 b a)) |
#s(literal 1/2 binary64) |
(-.f64 b a) |
(/.f64 (-.f64 b a) (*.f64 b a)) |
(*.f64 b a) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
#s(literal 1/2 binary64) |
(PI.f64) |
(*.f64 a (*.f64 a b)) |
a |
(*.f64 a b) |
b |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a)) |
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) |
(PI.f64) |
(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
a |
(/.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
b |
(*.f64 a a) |
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) |
(PI.f64) |
(/.f64 #s(literal -1/2 binary64) (*.f64 a a)) |
#s(literal -1/2 binary64) |
(*.f64 a a) |
a |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) b) |
b |
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) |
(/.f64 (-.f64 b a) (*.f64 b a)) |
(-.f64 b a) |
b |
a |
(*.f64 b a) |
(/.f64 (PI.f64) (+.f64 b a)) |
(PI.f64) |
(+.f64 b a) |
(/.f64 #s(literal 1/2 binary64) (-.f64 b a)) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a)))) |
(/.f64 (PI.f64) (+.f64 b a)) |
(PI.f64) |
(+.f64 b a) |
b |
a |
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b a)) |
(/.f64 #s(literal 1/2 binary64) (-.f64 b a)) |
#s(literal 1/2 binary64) |
(-.f64 b a) |
(/.f64 (-.f64 b a) (*.f64 b a)) |
(*.f64 b a) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(PI.f64) |
(*.f64 a (*.f64 a b)) |
(*.f64 b (*.f64 a a)) |
a |
(*.f64 a b) |
(*.f64 b a) |
b |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a)) |
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 (*.f64 a a) (*.f64 b a)))) |
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) (*.f64 b a)) |
(PI.f64) |
(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 b a)) |
(/.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
a |
(/.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
b |
(*.f64 a a) |
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 (*.f64 a a) (*.f64 b a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a a)) |
(PI.f64) |
(/.f64 #s(literal -1/2 binary64) (*.f64 a a)) |
#s(literal -1/2 binary64) |
(*.f64 a a) |
a |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (-.f64 b a) (*.f64 b a)) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) b) |
b |
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a)))) |
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) |
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 a (*.f64 b (+.f64 b a)))) |
(/.f64 (-.f64 b a) (*.f64 b a)) |
(-.f64 b a) |
b |
a |
(*.f64 b a) |
(/.f64 (PI.f64) (+.f64 b a)) |
(PI.f64) |
(+.f64 b a) |
(/.f64 #s(literal 1/2 binary64) (-.f64 b a)) |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) |
| ✓ | accuracy | 99.6% | (/.f64 (PI.f64) (+.f64 b a)) |
| ✓ | accuracy | 78.8% | (/.f64 (-.f64 b a) (*.f64 b a)) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
| ✓ | accuracy | 99.7% | (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) |
| ✓ | accuracy | 98.7% | (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) |
| ✓ | accuracy | 95.4% | (*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) |
| ✓ | accuracy | 99.4% | (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) |
| ✓ | accuracy | 94.7% | (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (PI.f64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (*.f64 a (*.f64 a b)) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a)))) |
| ✓ | accuracy | 99.6% | (/.f64 (PI.f64) (+.f64 b a)) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a))) |
| ✓ | accuracy | 78.8% | (/.f64 (-.f64 b a) (*.f64 b a)) |
| 65.0ms | 256× | 0 | valid |
Compiled 241 to 34 computations (85.9% saved)
ival-mult: 20.0ms (47.9% of total)ival-div: 15.0ms (35.9% of total)ival-sub: 2.0ms (4.8% of total)ival-add: 2.0ms (4.8% of total)ival-pi: 1.0ms (2.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a)))> |
#<alt (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a))))> |
#<alt (/.f64 (PI.f64) (+.f64 b a))> |
#<alt (PI.f64)> |
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))> |
#<alt (*.f64 #s(literal 1/2 binary64) (PI.f64))> |
#<alt (*.f64 a (*.f64 a b))> |
#<alt (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))> |
#<alt (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))> |
#<alt (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))> |
#<alt (*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))> |
#<alt (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))> |
#<alt (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))> |
#<alt (*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))> |
#<alt (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))> |
#<alt (/.f64 (-.f64 b a) (*.f64 b a))> |
#<alt (-.f64 b a)> |
#<alt (/.f64 #s(literal -1/2 binary64) (*.f64 a a))> |
| Outputs |
|---|
#<alt (/ 1/2 (* a b))> |
#<alt (/ 1/2 (* a b))> |
#<alt (/ 1/2 (* a b))> |
#<alt (/ 1/2 (* a b))> |
#<alt (/ 1/2 (* a b))> |
#<alt (/ 1/2 (* a b))> |
#<alt (/ 1/2 (* a b))> |
#<alt (/ 1/2 (* a b))> |
#<alt (/ 1/2 (* a b))> |
#<alt (/ 1/2 (* a b))> |
#<alt (/ 1/2 (* a b))> |
#<alt (/ 1/2 (* a b))> |
#<alt (/ 1/2 (* a b))> |
#<alt (/ 1/2 (* a b))> |
#<alt (/ 1/2 (* a b))> |
#<alt (/ 1/2 (* a b))> |
#<alt (/ 1/2 (* a b))> |
#<alt (/ 1/2 (* a b))> |
#<alt (/ 1/2 (* a b))> |
#<alt (/ 1/2 (* a b))> |
#<alt (/ 1/2 (* a b))> |
#<alt (/ 1/2 (* a b))> |
#<alt (/ 1/2 (* a b))> |
#<alt (/ 1/2 (* a b))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (PI) a)> |
#<alt (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))> |
#<alt (+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))> |
#<alt (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))> |
#<alt (/ (PI) b)> |
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)> |
#<alt (/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)> |
#<alt (/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)> |
#<alt (/ (PI) b)> |
#<alt (* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))> |
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))> |
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))> |
#<alt (/ (PI) b)> |
#<alt (+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))> |
#<alt (+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))> |
#<alt (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))> |
#<alt (/ (PI) a)> |
#<alt (/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)> |
#<alt (/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)> |
#<alt (/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)> |
#<alt (/ (PI) a)> |
#<alt (* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))> |
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))> |
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* -1/2 (/ (PI) (pow a 3)))> |
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))> |
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))> |
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)> |
#<alt (* -1/2 (/ (PI) (pow a 3)))> |
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))> |
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))> |
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))> |
#<alt (* -1/2 (/ (PI) (pow a 3)))> |
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))> |
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))> |
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))> |
#<alt (/ -1/2 a)> |
#<alt (/ (- (* 1/2 (/ a b)) 1/2) a)> |
#<alt (/ (- (* 1/2 (/ a b)) 1/2) a)> |
#<alt (/ (- (* 1/2 (/ a b)) 1/2) a)> |
#<alt (/ 1/2 b)> |
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))> |
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))> |
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))> |
#<alt (/ 1/2 b)> |
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))> |
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))> |
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))> |
#<alt (/ 1/2 b)> |
#<alt (/ (+ 1/2 (* -1/2 (/ b a))) b)> |
#<alt (/ (+ 1/2 (* -1/2 (/ b a))) b)> |
#<alt (/ (+ 1/2 (* -1/2 (/ b a))) b)> |
#<alt (/ -1/2 a)> |
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))> |
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))> |
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))> |
#<alt (/ -1/2 a)> |
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))> |
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))> |
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))> |
#<alt (* -1/2 (/ (PI) a))> |
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)> |
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)> |
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))> |
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))> |
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))> |
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))> |
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)> |
#<alt (* -1/2 (/ (PI) a))> |
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))> |
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))> |
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))> |
#<alt (* -1/2 (/ (PI) a))> |
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))> |
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))> |
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))> |
#<alt (* -1/2 (/ (PI) (pow a 3)))> |
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))> |
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))> |
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)> |
#<alt (* -1/2 (/ (PI) (pow a 3)))> |
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))> |
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))> |
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))> |
#<alt (* -1/2 (/ (PI) (pow a 3)))> |
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))> |
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))> |
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))> |
#<alt (/ 1 a)> |
#<alt (/ (+ 1 (* -1 (/ a b))) a)> |
#<alt (/ (+ 1 (* -1 (/ a b))) a)> |
#<alt (/ (+ 1 (* -1 (/ a b))) a)> |
#<alt (/ -1 b)> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (/ -1 b)> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (/ -1 b)> |
#<alt (/ (- (/ b a) 1) b)> |
#<alt (/ (- (/ b a) 1) b)> |
#<alt (/ (- (/ b a) 1) b)> |
#<alt (/ 1 a)> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (/ 1 a)> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (* -1/2 (/ (PI) (pow a 2)))> |
#<alt (* -1/2 (/ (PI) (pow a 2)))> |
#<alt (* -1/2 (/ (PI) (pow a 2)))> |
#<alt (* -1/2 (/ (PI) (pow a 2)))> |
#<alt (* -1/2 (/ (PI) (pow a 2)))> |
#<alt (* -1/2 (/ (PI) (pow a 2)))> |
#<alt (* -1/2 (/ (PI) (pow a 2)))> |
#<alt (* -1/2 (/ (PI) (pow a 2)))> |
#<alt (* -1/2 (/ (PI) (pow a 2)))> |
#<alt (* -1/2 (/ (PI) (pow a 2)))> |
#<alt (* -1/2 (/ (PI) (pow a 2)))> |
#<alt (* -1/2 (/ (PI) (pow a 2)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (* -1 (/ (PI) (* a b)))> |
#<alt (/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b)> |
#<alt (/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)> |
#<alt (/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b)> |
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b)> |
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b)> |
#<alt (/ (PI) (* a b))> |
#<alt (* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))> |
#<alt (* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))> |
#<alt (* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)> |
#<alt (/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)> |
#<alt (/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)> |
#<alt (* -1 (/ (PI) (* a b)))> |
#<alt (/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a)> |
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a)> |
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a)> |
#<alt (* -1 (/ (PI) (* a b)))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (PI) a)) (/ (PI) b)) (/ (PI) a)) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (/ (* b (- (* -1 (PI)) (PI))) a)) a)) (/ (PI) b)) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (* -1 (/ (+ (* -1 (* b (- (* -1 (PI)) (PI)))) (/ (* (pow b 2) (- (* -1 (PI)) (PI))) a)) a))) a)) (/ (PI) b)) a))> |
#<alt (/ -1 b)> |
#<alt (/ (- (/ b a) 1) b)> |
#<alt (/ (- (/ b a) 1) b)> |
#<alt (/ (- (/ b a) 1) b)> |
#<alt (/ 1 a)> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (/ 1 a)> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (/ 1 a)> |
#<alt (/ (+ 1 (* -1 (/ a b))) a)> |
#<alt (/ (+ 1 (* -1 (/ a b))) a)> |
#<alt (/ (+ 1 (* -1 (/ a b))) a)> |
#<alt (/ -1 b)> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (/ -1 b)> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (* -1 a)> |
#<alt (- b a)> |
#<alt (- b a)> |
#<alt (- b a)> |
#<alt b> |
#<alt (* b (+ 1 (* -1 (/ a b))))> |
#<alt (* b (+ 1 (* -1 (/ a b))))> |
#<alt (* b (+ 1 (* -1 (/ a b))))> |
#<alt b> |
#<alt (* -1 (* b (- (/ a b) 1)))> |
#<alt (* -1 (* b (- (/ a b) 1)))> |
#<alt (* -1 (* b (- (/ a b) 1)))> |
#<alt b> |
#<alt (+ b (* -1 a))> |
#<alt (+ b (* -1 a))> |
#<alt (+ b (* -1 a))> |
#<alt (* -1 a)> |
#<alt (* a (- (/ b a) 1))> |
#<alt (* a (- (/ b a) 1))> |
#<alt (* a (- (/ b a) 1))> |
#<alt (* -1 a)> |
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))> |
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))> |
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))> |
#<alt (/ -1/2 (pow a 2))> |
#<alt (/ -1/2 (pow a 2))> |
#<alt (/ -1/2 (pow a 2))> |
#<alt (/ -1/2 (pow a 2))> |
#<alt (/ -1/2 (pow a 2))> |
#<alt (/ -1/2 (pow a 2))> |
#<alt (/ -1/2 (pow a 2))> |
#<alt (/ -1/2 (pow a 2))> |
#<alt (/ -1/2 (pow a 2))> |
#<alt (/ -1/2 (pow a 2))> |
#<alt (/ -1/2 (pow a 2))> |
#<alt (/ -1/2 (pow a 2))> |
90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | inf | (* (/ (- b a) (* b a)) (/ (PI) (+ b a))) |
| 2.0ms | a | @ | inf | (* a (* a b)) |
| 2.0ms | a | @ | -inf | (/ (PI) (+ b a)) |
| 1.0ms | b | @ | 0 | (* (/ 1/2 (- b a)) (/ (- b a) (* b a))) |
| 1.0ms | b | @ | 0 | (/ (* 1/2 (PI)) (* a (* a b))) |
| 1× | batch-egg-rewrite |
| 5 054× | lower-*.f32 |
| 5 030× | lower-*.f64 |
| 4 796× | lower-/.f32 |
| 4 776× | lower-/.f64 |
| 2 518× | lower-fma.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 160 |
| 0 | 59 | 160 |
| 1 | 257 | 160 |
| 2 | 2544 | 136 |
| 0 | 8178 | 136 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a)))) |
(/.f64 (PI.f64) (+.f64 b a)) |
(PI.f64) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(*.f64 a (*.f64 a b)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a)) |
(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) |
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) |
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) |
(/.f64 (-.f64 b a) (*.f64 b a)) |
(-.f64 b a) |
(/.f64 #s(literal -1/2 binary64) (*.f64 a a)) |
| Outputs |
|---|
(/.f64 #s(literal 1/2 binary64) (*.f64 b a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (/.f64 (*.f64 b a) (-.f64 b a)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (-.f64 b a)) (-.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 b (neg.f64 a)))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 (-.f64 b a)) (/.f64 (*.f64 b a) (-.f64 b a))))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 b a) (-.f64 b a)) (neg.f64 (-.f64 b a))))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (*.f64 b a) (-.f64 b a))) |
(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (*.f64 (-.f64 b a) #s(literal 2 binary64))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 b (neg.f64 a))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (-.f64 b a)) (/.f64 (*.f64 b a) (-.f64 b a)))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (-.f64 b a)) (neg.f64 (-.f64 b a)))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (-.f64 b a) (/.f64 (*.f64 b a) (-.f64 b a))))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 b a) (-.f64 b a)) (-.f64 b a)))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 b)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) b) a) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (/.f64 (*.f64 b a) (-.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b a) (-.f64 b a)) (*.f64 (-.f64 b a) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b a) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (-.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 b a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (/.f64 (*.f64 b a) (-.f64 b a))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 b a) (-.f64 b a)) (*.f64 (-.f64 b a) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (-.f64 b a))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b a) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 b a) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 b a))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 b a))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 b a)) (-.f64 b a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 b a))) (*.f64 (-.f64 b a) (*.f64 b (neg.f64 a)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 b a) b)) (*.f64 (-.f64 b a) a)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 (neg.f64 (-.f64 b a)) (*.f64 b a))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (-.f64 b a))) (*.f64 (neg.f64 (-.f64 b a)) (*.f64 b (neg.f64 a)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 b a) b)) (*.f64 (neg.f64 (-.f64 b a)) a)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 b a))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 b a))) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 b (neg.f64 a)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) b)) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) a)) |
(/.f64 (*.f64 (-.f64 b a) #s(literal -1/2 binary64)) (*.f64 (*.f64 b a) (neg.f64 (-.f64 b a)))) |
(/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 b (neg.f64 a)) (-.f64 b a))) |
(/.f64 (*.f64 (neg.f64 (-.f64 b a)) #s(literal -1/2 binary64)) (*.f64 (*.f64 b (neg.f64 a)) (neg.f64 (-.f64 b a)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 b a)) #s(literal 1 binary64)) (*.f64 (*.f64 b (neg.f64 a)) (*.f64 (-.f64 b a) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (/.f64 (-.f64 b a) b) #s(literal 1/2 binary64)) (*.f64 a (-.f64 b a))) |
(/.f64 (*.f64 (/.f64 (-.f64 b a) b) #s(literal -1/2 binary64)) (*.f64 a (neg.f64 (-.f64 b a)))) |
(/.f64 (*.f64 (/.f64 (-.f64 b a) b) #s(literal 1 binary64)) (*.f64 a (*.f64 (-.f64 b a) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a))) (neg.f64 (*.f64 (-.f64 b a) (*.f64 b a)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 b a))) (neg.f64 (-.f64 b a))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) b)) (neg.f64 a)) |
(/.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) #s(literal 1 binary64)) (*.f64 (-.f64 b a) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #s(literal 1 binary64)) (/.f64 (*.f64 b a) (-.f64 b a))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (neg.f64 (-.f64 b a))) (*.f64 b (neg.f64 a))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) b)) a) |
(/.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) #s(literal -1/2 binary64)) (neg.f64 (-.f64 b a))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 b a) (*.f64 b a))) (neg.f64 (-.f64 b a))) |
(/.f64 (*.f64 (neg.f64 (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (*.f64 b (neg.f64 a))) |
(/.f64 (*.f64 (/.f64 (-.f64 b a) b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) a) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (neg.f64 (/.f64 (*.f64 b a) (-.f64 b a)))) |
(/.f64 (neg.f64 (/.f64 (-.f64 b a) (*.f64 b a))) (neg.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 b a)))) (neg.f64 (*.f64 (-.f64 b a) (*.f64 b (neg.f64 a))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 b a) b))) (neg.f64 (*.f64 (-.f64 b a) a))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a))) (neg.f64 (*.f64 (neg.f64 (-.f64 b a)) (*.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (-.f64 b a)))) (neg.f64 (*.f64 (neg.f64 (-.f64 b a)) (*.f64 b (neg.f64 a))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 b a) b))) (neg.f64 (*.f64 (neg.f64 (-.f64 b a)) a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 b a))) (neg.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 b a)))) (neg.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 b (neg.f64 a))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) b))) (neg.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) a))) |
(/.f64 (neg.f64 (*.f64 (-.f64 b a) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (*.f64 b a) (neg.f64 (-.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 b a)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (*.f64 b (neg.f64 a)) (-.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 b a)) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (*.f64 b (neg.f64 a)) (neg.f64 (-.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 b a)) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 b (neg.f64 a)) (*.f64 (-.f64 b a) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 b a) b) #s(literal 1/2 binary64))) (neg.f64 (*.f64 a (-.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 b a) b) #s(literal -1/2 binary64))) (neg.f64 (*.f64 a (neg.f64 (-.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 b a) b) #s(literal 1 binary64))) (neg.f64 (*.f64 a (*.f64 (-.f64 b a) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a)))) (neg.f64 (neg.f64 (*.f64 (-.f64 b a) (*.f64 b a))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 b a)))) (neg.f64 (neg.f64 (-.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 b a) (-.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (neg.f64 (-.f64 b a)))) (neg.f64 (*.f64 b (neg.f64 a)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) b))) (neg.f64 a)) |
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(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b a) (PI.f64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (PI.f64) (neg.f64 (+.f64 b a)))) |
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(PI.f64) |
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(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64))) |
(fabs.f64 (PI.f64)) |
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(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) |
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(/.f64 (+.f64 (neg.f64 a) (*.f64 (neg.f64 (neg.f64 b)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 b)) a)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 (neg.f64 b)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 a) (*.f64 (neg.f64 (neg.f64 b)) #s(literal -1 binary64))) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 a))) |
(/.f64 (neg.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64))) (*.f64 b (neg.f64 a))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 b a)))) (neg.f64 (neg.f64 (*.f64 b (neg.f64 a))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (*.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal 1 binary64))) (neg.f64 (*.f64 b (*.f64 a (+.f64 b a))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b a)) (*.f64 b (*.f64 a a)))) (neg.f64 (*.f64 (*.f64 b a) (*.f64 b a)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b)) (*.f64 a #s(literal -1 binary64)))) (neg.f64 (*.f64 b (neg.f64 a)))) |
(/.f64 (neg.f64 (-.f64 (neg.f64 b) (*.f64 (neg.f64 a) #s(literal 1 binary64)))) (neg.f64 (*.f64 b (neg.f64 a)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 b)) (*.f64 (neg.f64 a) #s(literal -1 binary64)))) (neg.f64 (*.f64 (neg.f64 a) (neg.f64 b)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (+.f64 b a) (*.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))) (neg.f64 (neg.f64 (/.f64 (+.f64 b a) (*.f64 b a))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 b a) b))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (/.f64 (-.f64 b a) a)) (neg.f64 b)) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))) (neg.f64 (fma.f64 (/.f64 b (*.f64 b a)) (/.f64 b (*.f64 b a)) (fma.f64 (/.f64 a (*.f64 b a)) (/.f64 a (*.f64 b a)) (*.f64 (/.f64 b (*.f64 b a)) (/.f64 a (*.f64 b a))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 b (*.f64 b a)) (/.f64 b (*.f64 b a))) (*.f64 (/.f64 a (*.f64 b a)) (/.f64 a (*.f64 b a))))) (neg.f64 (+.f64 (/.f64 b (*.f64 b a)) (/.f64 a (*.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))) (neg.f64 (fma.f64 b b (*.f64 a (+.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))) (neg.f64 (+.f64 b a))) |
(pow.f64 (/.f64 (*.f64 b a) (-.f64 b a)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (+.f64 b a) (*.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 b a) (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a (/.f64 (-.f64 b a) b)) #s(literal -1 binary64)) |
(*.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 b a) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 a (-.f64 b a)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b (neg.f64 a)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (+.f64 b a) (*.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 a a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (-.f64 b a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (*.f64 b a)))) |
(*.f64 (/.f64 (-.f64 b a) b) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (pow.f64 (/.f64 (*.f64 b a) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (+.f64 b a))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b a))) |
(+.f64 b (neg.f64 a)) |
(+.f64 b (*.f64 (neg.f64 a) #s(literal 1 binary64))) |
(+.f64 (neg.f64 a) b) |
(-.f64 b a) |
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b (*.f64 a (+.f64 b a)))) (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 b b (*.f64 a (+.f64 b a))))) |
(-.f64 (/.f64 (*.f64 b b) (+.f64 b a)) (/.f64 (*.f64 a a) (+.f64 b a))) |
(fma.f64 b #s(literal 1 binary64) (neg.f64 a)) |
(fma.f64 b #s(literal 1 binary64) (*.f64 (neg.f64 a) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) b (neg.f64 a)) |
(fma.f64 #s(literal 1 binary64) b (*.f64 (neg.f64 a) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) a b) |
(/.f64 (-.f64 b a) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a))))) |
(/.f64 (neg.f64 (-.f64 b a)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)) (fma.f64 b b (*.f64 a (+.f64 b a)))) |
(/.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b (neg.f64 a))))) |
(/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (+.f64 b a)) |
(/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (-.f64 b (neg.f64 a))) |
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 (+.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 (-.f64 b (neg.f64 a)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))) (neg.f64 (fma.f64 b b (*.f64 a (+.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))) (neg.f64 (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b (neg.f64 a)))))) |
(/.f64 (-.f64 (neg.f64 b) (neg.f64 a)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (neg.f64 (neg.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (neg.f64 (neg.f64 (fma.f64 b b (*.f64 a (+.f64 b a)))))) |
(pow.f64 (/.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal -1 binary64)) |
(*.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (+.f64 b a))))) |
(*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 b a))) |
(*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 b a)) |
(*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 b b (*.f64 a (-.f64 a b)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 a #s(literal -2 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 a a))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (neg.f64 (*.f64 a a))))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 a a)) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (*.f64 a a)))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) a) a) |
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal -1/2 binary64) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 a (*.f64 a #s(literal -2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (/.f64 #s(literal -1/2 binary64) a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) a))) (neg.f64 (neg.f64 a))) |
(pow.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a (/.f64 #s(literal -1/2 binary64) a)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 a a)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1/2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal -1/2 binary64)) |
| 1× | egg-herbie |
| 12 514× | lower-fma.f64 |
| 12 514× | lower-fma.f32 |
| 4 222× | lower-*.f64 |
| 4 222× | lower-*.f32 |
| 3 554× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 419 | 4074 |
| 1 | 1214 | 3905 |
| 2 | 3280 | 3717 |
| 0 | 8165 | 3612 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/2 (* a b)) |
(/ 1/2 (* a b)) |
(/ 1/2 (* a b)) |
(/ 1/2 (* a b)) |
(/ 1/2 (* a b)) |
(/ 1/2 (* a b)) |
(/ 1/2 (* a b)) |
(/ 1/2 (* a b)) |
(/ 1/2 (* a b)) |
(/ 1/2 (* a b)) |
(/ 1/2 (* a b)) |
(/ 1/2 (* a b)) |
(/ 1/2 (* a b)) |
(/ 1/2 (* a b)) |
(/ 1/2 (* a b)) |
(/ 1/2 (* a b)) |
(/ 1/2 (* a b)) |
(/ 1/2 (* a b)) |
(/ 1/2 (* a b)) |
(/ 1/2 (* a b)) |
(/ 1/2 (* a b)) |
(/ 1/2 (* a b)) |
(/ 1/2 (* a b)) |
(/ 1/2 (* a b)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (PI) a) |
(+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a)) |
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a)) |
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a)) |
(/ (PI) b) |
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b) |
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b) |
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b) |
(/ (PI) b) |
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b)) |
(/ (PI) b) |
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b)) |
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b)) |
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b)) |
(/ (PI) a) |
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a) |
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a) |
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a) |
(/ (PI) a) |
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* -1/2 (/ (PI) (pow a 3))) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(* -1/2 (/ (PI) (pow a 3))) |
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(* -1/2 (/ (PI) (pow a 3))) |
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(/ -1/2 a) |
(/ (- (* 1/2 (/ a b)) 1/2) a) |
(/ (- (* 1/2 (/ a b)) 1/2) a) |
(/ (- (* 1/2 (/ a b)) 1/2) a) |
(/ 1/2 b) |
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) |
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) |
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) |
(/ 1/2 b) |
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) |
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) |
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) |
(/ 1/2 b) |
(/ (+ 1/2 (* -1/2 (/ b a))) b) |
(/ (+ 1/2 (* -1/2 (/ b a))) b) |
(/ (+ 1/2 (* -1/2 (/ b a))) b) |
(/ -1/2 a) |
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) |
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) |
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) |
(/ -1/2 a) |
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) |
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) |
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) |
(* -1/2 (/ (PI) a)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a) |
(* 1/2 (/ (PI) b)) |
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) |
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) |
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) |
(* 1/2 (/ (PI) b)) |
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) |
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) |
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) |
(* 1/2 (/ (PI) b)) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b) |
(* -1/2 (/ (PI) a)) |
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) |
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) |
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) |
(* -1/2 (/ (PI) a)) |
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) |
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) |
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) |
(* -1/2 (/ (PI) (pow a 3))) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(* -1/2 (/ (PI) (pow a 3))) |
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(* -1/2 (/ (PI) (pow a 3))) |
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(/ 1 a) |
(/ (+ 1 (* -1 (/ a b))) a) |
(/ (+ 1 (* -1 (/ a b))) a) |
(/ (+ 1 (* -1 (/ a b))) a) |
(/ -1 b) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(/ -1 b) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(/ -1 b) |
(/ (- (/ b a) 1) b) |
(/ (- (/ b a) 1) b) |
(/ (- (/ b a) 1) b) |
(/ 1 a) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(/ 1 a) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(* -1/2 (/ (PI) (pow a 2))) |
(* -1/2 (/ (PI) (pow a 2))) |
(* -1/2 (/ (PI) (pow a 2))) |
(* -1/2 (/ (PI) (pow a 2))) |
(* -1/2 (/ (PI) (pow a 2))) |
(* -1/2 (/ (PI) (pow a 2))) |
(* -1/2 (/ (PI) (pow a 2))) |
(* -1/2 (/ (PI) (pow a 2))) |
(* -1/2 (/ (PI) (pow a 2))) |
(* -1/2 (/ (PI) (pow a 2))) |
(* -1/2 (/ (PI) (pow a 2))) |
(* -1/2 (/ (PI) (pow a 2))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(* -1 (/ (PI) (* a b))) |
(/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b) |
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b) |
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b) |
(/ (PI) (* a b)) |
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b) |
(/ (PI) (* a b)) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b)) |
(/ (PI) (* a b)) |
(/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a) |
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a) |
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a) |
(* -1 (/ (PI) (* a b))) |
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a) |
(* -1 (/ (PI) (* a b))) |
(* -1 (/ (- (+ (* -1 (/ (PI) a)) (/ (PI) b)) (/ (PI) a)) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (/ (* b (- (* -1 (PI)) (PI))) a)) a)) (/ (PI) b)) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (* -1 (/ (+ (* -1 (* b (- (* -1 (PI)) (PI)))) (/ (* (pow b 2) (- (* -1 (PI)) (PI))) a)) a))) a)) (/ (PI) b)) a)) |
(/ -1 b) |
(/ (- (/ b a) 1) b) |
(/ (- (/ b a) 1) b) |
(/ (- (/ b a) 1) b) |
(/ 1 a) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(/ 1 a) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(/ 1 a) |
(/ (+ 1 (* -1 (/ a b))) a) |
(/ (+ 1 (* -1 (/ a b))) a) |
(/ (+ 1 (* -1 (/ a b))) a) |
(/ -1 b) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(/ -1 b) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(* -1 a) |
(- b a) |
(- b a) |
(- b a) |
b |
(* b (+ 1 (* -1 (/ a b)))) |
(* b (+ 1 (* -1 (/ a b)))) |
(* b (+ 1 (* -1 (/ a b)))) |
b |
(* -1 (* b (- (/ a b) 1))) |
(* -1 (* b (- (/ a b) 1))) |
(* -1 (* b (- (/ a b) 1))) |
b |
(+ b (* -1 a)) |
(+ b (* -1 a)) |
(+ b (* -1 a)) |
(* -1 a) |
(* a (- (/ b a) 1)) |
(* a (- (/ b a) 1)) |
(* a (- (/ b a) 1)) |
(* -1 a) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(/ -1/2 (pow a 2)) |
(/ -1/2 (pow a 2)) |
(/ -1/2 (pow a 2)) |
(/ -1/2 (pow a 2)) |
(/ -1/2 (pow a 2)) |
(/ -1/2 (pow a 2)) |
(/ -1/2 (pow a 2)) |
(/ -1/2 (pow a 2)) |
(/ -1/2 (pow a 2)) |
(/ -1/2 (pow a 2)) |
(/ -1/2 (pow a 2)) |
(/ -1/2 (pow a 2)) |
| Outputs |
|---|
(/ 1/2 (* a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
(/ 1/2 (* a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
(/ 1/2 (* a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
(/ 1/2 (* a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
(/ 1/2 (* a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
(/ 1/2 (* a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
(/ 1/2 (* a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
(/ 1/2 (* a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
(/ 1/2 (* a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
(/ 1/2 (* a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
(/ 1/2 (* a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
(/ 1/2 (* a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
(/ 1/2 (* a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
(/ 1/2 (* a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
(/ 1/2 (* a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
(/ 1/2 (* a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
(/ 1/2 (* a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
(/ 1/2 (* a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
(/ 1/2 (* a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
(/ 1/2 (* a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
(/ 1/2 (* a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
(/ 1/2 (* a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
(/ 1/2 (* a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
(/ 1/2 (* a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (PI.f64))) (*.f64 a (*.f64 a a)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/.f64 (fma.f64 b (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a (*.f64 a a))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a #s(literal 4 binary64))) b (/.f64 (PI.f64) (*.f64 a a))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (PI.f64))) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a a))) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 1/2 binary64) (fma.f64 a (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) a)))) (*.f64 b b)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (fma.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b)) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (PI.f64)) b)) (neg.f64 b))) b)) (*.f64 b b)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/.f64 (fma.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))) a) |
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(/.f64 (fma.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/.f64 (fma.f64 a (fma.f64 (*.f64 a (PI.f64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) b) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) a) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 b (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (PI.f64) b)))) (*.f64 a a)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (fma.f64 b (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a)) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) a) (*.f64 #s(literal 1/2 binary64) (*.f64 b (PI.f64)))) a)) (neg.f64 a))) (*.f64 a a)) |
(* -1 (/ (PI) (* a b))) |
(/.f64 (PI.f64) (*.f64 a (neg.f64 b))) |
(/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b) |
(/.f64 (-.f64 (/.f64 (*.f64 b (+.f64 (PI.f64) (PI.f64))) (*.f64 a a)) (/.f64 (PI.f64) a)) b) |
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b) |
(/.f64 (-.f64 (*.f64 b (fma.f64 b (neg.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 a (*.f64 a a)))) (/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 a a)))) (/.f64 (PI.f64) a)) b) |
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b) |
(/.f64 (-.f64 (*.f64 b (fma.f64 b (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (+.f64 b b)) (/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 a (*.f64 a a)))) (/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 a a)))) (/.f64 (PI.f64) a)) b) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal -2 binary64) (/.f64 (PI.f64) a)) b) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b) |
(/.f64 (+.f64 (/.f64 (PI.f64) a) (/.f64 (-.f64 (-.f64 (*.f64 a (/.f64 (+.f64 (PI.f64) (PI.f64)) b)) (PI.f64)) (PI.f64)) b)) b) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b) |
(/.f64 (+.f64 (/.f64 (PI.f64) a) (fma.f64 a (/.f64 (*.f64 a (-.f64 (neg.f64 (PI.f64)) (PI.f64))) (*.f64 b (*.f64 b b))) (/.f64 (-.f64 (-.f64 (*.f64 a (/.f64 (+.f64 (PI.f64) (PI.f64)) b)) (PI.f64)) (PI.f64)) b))) b) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal -2 binary64) (/.f64 (PI.f64) a)) b) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b)) |
(/.f64 (+.f64 (/.f64 (PI.f64) a) (/.f64 (-.f64 (-.f64 (*.f64 a (/.f64 (+.f64 (PI.f64) (PI.f64)) b)) (PI.f64)) (PI.f64)) b)) b) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b)) |
(/.f64 (+.f64 (/.f64 (PI.f64) a) (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) (-.f64 (/.f64 (*.f64 a a) b) a)) b) (+.f64 (PI.f64) (PI.f64))) b)) b) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a) |
(/.f64 (fma.f64 a (/.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) (*.f64 b b)) (/.f64 (PI.f64) b)) a) |
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a) |
(/.f64 (fma.f64 a (fma.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b b))) (+.f64 a a) (/.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) (*.f64 b b))) (/.f64 (PI.f64) b)) a) |
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a) |
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64)) (/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 b (*.f64 b b)))) (/.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) (*.f64 b b))) (/.f64 (PI.f64) b)) a) |
(* -1 (/ (PI) (* a b))) |
(/.f64 (PI.f64) (*.f64 a (neg.f64 b))) |
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a) |
(/.f64 (-.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) a) (/.f64 (PI.f64) b)) a) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a) |
(/.f64 (-.f64 (-.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) a) (/.f64 (*.f64 b (+.f64 (PI.f64) (PI.f64))) (*.f64 a a))) (/.f64 (PI.f64) b)) a) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a) |
(/.f64 (-.f64 (fma.f64 b (/.f64 (*.f64 b (+.f64 (PI.f64) (PI.f64))) (*.f64 a (*.f64 a a))) (-.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) a) (/.f64 (*.f64 b (+.f64 (PI.f64) (PI.f64))) (*.f64 a a)))) (/.f64 (PI.f64) b)) a) |
(* -1 (/ (PI) (* a b))) |
(/.f64 (PI.f64) (*.f64 a (neg.f64 b))) |
(* -1 (/ (- (+ (* -1 (/ (PI) a)) (/ (PI) b)) (/ (PI) a)) a)) |
(/.f64 (-.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) a) (/.f64 (PI.f64) b)) a) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (/ (* b (- (* -1 (PI)) (PI))) a)) a)) (/ (PI) b)) a)) |
(/.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) (+.f64 #s(literal -1 binary64) (/.f64 b a))) a)) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (* -1 (/ (+ (* -1 (* b (- (* -1 (PI)) (PI)))) (/ (* (pow b 2) (- (* -1 (PI)) (PI))) a)) a))) a)) (/ (PI) b)) a)) |
(/.f64 (-.f64 (/.f64 (-.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) (-.f64 (/.f64 (*.f64 b b) a) b)) a)) a) (/.f64 (PI.f64) b)) a) |
(/ -1 b) |
(/.f64 #s(literal -1 binary64) b) |
(/ (- (/ b a) 1) b) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) b) |
(/ (- (/ b a) 1) b) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) b) |
(/ (- (/ b a) 1) b) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) b) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ (+ 1 (* -1 (/ a b))) a) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) |
(/ (+ 1 (* -1 (/ a b))) a) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) |
(/ (+ 1 (* -1 (/ a b))) a) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) |
(/ -1 b) |
(/.f64 #s(literal -1 binary64) b) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(/ -1 b) |
(/.f64 #s(literal -1 binary64) b) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(* -1 a) |
(neg.f64 a) |
(- b a) |
(-.f64 b a) |
(- b a) |
(-.f64 b a) |
(- b a) |
(-.f64 b a) |
b |
(* b (+ 1 (* -1 (/ a b)))) |
(-.f64 b (*.f64 (/.f64 a b) b)) |
(* b (+ 1 (* -1 (/ a b)))) |
(-.f64 b (*.f64 (/.f64 a b) b)) |
(* b (+ 1 (* -1 (/ a b)))) |
(-.f64 b (*.f64 (/.f64 a b) b)) |
b |
(* -1 (* b (- (/ a b) 1))) |
(-.f64 b (*.f64 (/.f64 a b) b)) |
(* -1 (* b (- (/ a b) 1))) |
(-.f64 b (*.f64 (/.f64 a b) b)) |
(* -1 (* b (- (/ a b) 1))) |
(-.f64 b (*.f64 (/.f64 a b) b)) |
b |
(+ b (* -1 a)) |
(-.f64 b a) |
(+ b (* -1 a)) |
(-.f64 b a) |
(+ b (* -1 a)) |
(-.f64 b a) |
(* -1 a) |
(neg.f64 a) |
(* a (- (/ b a) 1)) |
(-.f64 (/.f64 (*.f64 a b) a) a) |
(* a (- (/ b a) 1)) |
(-.f64 (/.f64 (*.f64 a b) a) a) |
(* a (- (/ b a) 1)) |
(-.f64 (/.f64 (*.f64 a b) a) a) |
(* -1 a) |
(neg.f64 a) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(-.f64 (/.f64 (*.f64 a b) a) a) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(-.f64 (/.f64 (*.f64 a b) a) a) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(-.f64 (/.f64 (*.f64 a b) a) a) |
(/ -1/2 (pow a 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 a a)) |
(/ -1/2 (pow a 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 a a)) |
(/ -1/2 (pow a 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 a a)) |
(/ -1/2 (pow a 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 a a)) |
(/ -1/2 (pow a 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 a a)) |
(/ -1/2 (pow a 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 a a)) |
(/ -1/2 (pow a 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 a a)) |
(/ -1/2 (pow a 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 a a)) |
(/ -1/2 (pow a 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 a a)) |
(/ -1/2 (pow a 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 a a)) |
(/ -1/2 (pow a 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 a a)) |
(/ -1/2 (pow a 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 a a)) |
Compiled 44 605 to 4 362 computations (90.2% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 061 | 16 | 2 077 |
| Fresh | 17 | 1 | 18 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 082 | 18 | 2 100 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 64.1% | (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) a) |
| 64.1% | (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b a)) | |
| 99.6% | (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 (+.f64 b a) (PI.f64))) | |
| ▶ | 99.7% | (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b a)) |
| 99.6% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a)) | |
| 64.1% | (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) a) | |
| 58.9% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b)) | |
| 94.5% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a)))) | |
| 57.1% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) | |
| ✓ | 64.0% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
| 99.5% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 b a) (PI.f64)) (*.f64 b a))) | |
| 99.4% | (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a)))) | |
| 99.7% | (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a)) | |
| 99.6% | (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) | |
| ▶ | 68.2% | (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
| ▶ | 59.0% | (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
| 64.1% | (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (neg.f64 a))))) | |
| ▶ | 58.9% | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
Compiled 459 to 320 computations (30.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) a) |
| ✓ | cost-diff | 0 | (*.f64 a b) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) (*.f64 a b)) |
| ✓ | cost-diff | 384 | (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
| ✓ | cost-diff | 0 | (*.f64 a a) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) (*.f64 a a)) |
| ✓ | cost-diff | 384 | (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
| ✓ | cost-diff | 0 | (*.f64 b (*.f64 a a)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) (+.f64 b a)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b a)) |
| 2 774× | lower-fma.f64 |
| 2 774× | lower-fma.f32 |
| 2 574× | lower-*.f32 |
| 2 556× | lower-*.f64 |
| 1 936× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 144 |
| 0 | 47 | 144 |
| 1 | 87 | 144 |
| 2 | 174 | 144 |
| 3 | 309 | 144 |
| 4 | 444 | 144 |
| 5 | 611 | 144 |
| 6 | 1150 | 144 |
| 7 | 2256 | 144 |
| 8 | 4141 | 144 |
| 9 | 5905 | 144 |
| 10 | 7319 | 144 |
| 0 | 8113 | 144 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b a)) |
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) (+.f64 b a)) |
(PI.f64) |
(+.f64 b a) |
b |
a |
#s(literal 1/2 binary64) |
(*.f64 b a) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))) |
#s(literal 1/2 binary64) |
(*.f64 b (*.f64 a a)) |
b |
(*.f64 a a) |
a |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(PI.f64) |
(*.f64 a a) |
a |
(/.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
b |
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 (PI.f64) (*.f64 a b)) |
(PI.f64) |
(*.f64 a b) |
a |
b |
(/.f64 #s(literal 1/2 binary64) (-.f64 b a)) |
#s(literal 1/2 binary64) |
(-.f64 b a) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) a) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
#s(literal 1/2 binary64) |
(PI.f64) |
a |
b |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b a)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(/.f64 (PI.f64) (+.f64 b a)) |
(PI.f64) |
(+.f64 b a) |
b |
a |
#s(literal 1/2 binary64) |
(*.f64 b a) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))) |
#s(literal 1/2 binary64) |
(*.f64 b (*.f64 a a)) |
b |
(*.f64 a a) |
a |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) |
(/.f64 (PI.f64) (*.f64 a a)) |
(PI.f64) |
(*.f64 a a) |
a |
(/.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
b |
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (-.f64 b a)))) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 b a)) |
(PI.f64) |
(*.f64 a b) |
(*.f64 b a) |
a |
b |
(/.f64 #s(literal 1/2 binary64) (-.f64 b a)) |
#s(literal 1/2 binary64) |
(-.f64 b a) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) a) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(PI.f64) |
a |
b |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) a) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
| ✓ | accuracy | 98.8% | (/.f64 (PI.f64) (*.f64 a b)) |
| ✓ | accuracy | 100.0% | (*.f64 a a) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 98.6% | (/.f64 (PI.f64) (*.f64 a a)) |
| ✓ | accuracy | 89.1% | (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))) |
| ✓ | accuracy | 89.2% | (*.f64 b (*.f64 a a)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b a)) |
| ✓ | accuracy | 99.6% | (/.f64 (PI.f64) (+.f64 b a)) |
| 52.0ms | 256× | 0 | valid |
Compiled 146 to 27 computations (81.5% saved)
ival-div: 16.0ms (48.8% of total)ival-mult: 12.0ms (36.6% of total)ival-pi: 1.0ms (3% of total)ival-sub: 1.0ms (3% of total)ival-add: 1.0ms (3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b a))> |
#<alt (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64))> |
#<alt (/.f64 (PI.f64) (+.f64 b a))> |
#<alt (PI.f64)> |
#<alt (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))> |
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))> |
#<alt (*.f64 b (*.f64 a a))> |
#<alt (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))> |
#<alt (/.f64 (PI.f64) (*.f64 a a))> |
#<alt (*.f64 a a)> |
#<alt (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))> |
#<alt (/.f64 (PI.f64) (*.f64 a b))> |
#<alt (*.f64 a b)> |
#<alt (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) a)> |
#<alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)> |
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)> |
#<alt (*.f64 #s(literal 1/2 binary64) (PI.f64))> |
#<alt (/.f64 #s(literal 1/2 binary64) (-.f64 b a))> |
| Outputs |
|---|
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))> |
#<alt (+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))> |
#<alt (+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))> |
#<alt (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))> |
#<alt (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a)> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))> |
#<alt (/ (PI) a)> |
#<alt (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))> |
#<alt (+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))> |
#<alt (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))> |
#<alt (/ (PI) b)> |
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)> |
#<alt (/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)> |
#<alt (/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)> |
#<alt (/ (PI) b)> |
#<alt (* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))> |
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))> |
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))> |
#<alt (/ (PI) b)> |
#<alt (+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))> |
#<alt (+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))> |
#<alt (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))> |
#<alt (/ (PI) a)> |
#<alt (/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)> |
#<alt (/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)> |
#<alt (/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)> |
#<alt (/ (PI) a)> |
#<alt (* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))> |
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))> |
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (PI) (pow a 2))> |
#<alt (/ (PI) (pow a 2))> |
#<alt (/ (PI) (pow a 2))> |
#<alt (/ (PI) (pow a 2))> |
#<alt (/ (PI) (pow a 2))> |
#<alt (/ (PI) (pow a 2))> |
#<alt (/ (PI) (pow a 2))> |
#<alt (/ (PI) (pow a 2))> |
#<alt (/ (PI) (pow a 2))> |
#<alt (/ (PI) (pow a 2))> |
#<alt (/ (PI) (pow a 2))> |
#<alt (/ (PI) (pow a 2))> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* a (PI)) (pow b 5)))))))) a)> |
#<alt (* -1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (PI) b)) (* -1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3)))))) (pow a 2))> |
#<alt (* -1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a)) (* -1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* -1/2 (/ (* (pow b 2) (PI)) a))) a)) (* 1/2 (PI))) a)) (* -1/2 (/ (PI) b))) (pow a 2))> |
#<alt (* -1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (PI)) (pow a 3)))) b)> |
#<alt (/ (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* -1/2 (/ (* b (PI)) (pow a 4)))))) b)> |
#<alt (/ (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* b (PI)) (pow a 5)))))))) b)> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow b 2))> |
#<alt (/ (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))> |
#<alt (/ (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 3)))))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* a (PI)) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (/ -1/2 a)> |
#<alt (- (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))> |
#<alt (- (* b (- (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))> |
#<alt (- (* b (- (* b (- (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))> |
#<alt (/ 1/2 b)> |
#<alt (/ (+ 1/2 (* 1/2 (/ a b))) b)> |
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* -1/2 (/ a b))) b)> |
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ a b)) (* -1/2 (/ (pow a 2) (pow b 2))))) b)> |
#<alt (/ 1/2 b)> |
#<alt (* -1 (/ (- (* -1/2 (/ a b)) 1/2) b))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* -1/2 a)) b)) 1/2) b))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* -1/2 a)) b)) 1/2) b))> |
#<alt (/ 1/2 b)> |
#<alt (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))> |
#<alt (+ (* a (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))> |
#<alt (+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))> |
#<alt (/ -1/2 a)> |
#<alt (/ (- (* -1/2 (/ b a)) 1/2) a)> |
#<alt (/ (- (* -1/2 (/ (pow b 2) (pow a 2))) (+ 1/2 (* 1/2 (/ b a)))) a)> |
#<alt (/ (- (* -1/2 (/ (pow b 3) (pow a 3))) (+ 1/2 (+ (* 1/2 (/ b a)) (* 1/2 (/ (pow b 2) (pow a 2)))))) a)> |
#<alt (/ -1/2 a)> |
#<alt (* -1 (/ (+ 1/2 (* 1/2 (/ b a))) a))> |
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow b 2) a)) (* 1/2 b)) a))) a))> |
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* -1/2 (pow b 2))) a)) (* 1/2 b)) a))) a))> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | b | @ | inf | (/ 1/2 (* b (* a a))) |
| 3.0ms | b | @ | -inf | (/ 1/2 (- b a)) |
| 2.0ms | a | @ | 0 | (* (/ (PI) (+ b a)) 1/2) |
| 0.0ms | b | @ | 0 | (/ 1/2 (* b (* a a))) |
| 0.0ms | a | @ | 0 | (* (/ (PI) (* a b)) (/ 1/2 (- b a))) |
| 1× | batch-egg-rewrite |
| 4 656× | lower-*.f32 |
| 4 638× | lower-*.f64 |
| 4 258× | lower-/.f32 |
| 4 238× | lower-/.f64 |
| 1 632× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 110 |
| 0 | 47 | 110 |
| 1 | 189 | 110 |
| 2 | 1323 | 110 |
| 0 | 8044 | 110 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b a)) |
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) (+.f64 b a)) |
(PI.f64) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))) |
(*.f64 b (*.f64 a a)) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(*.f64 a a) |
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 (PI.f64) (*.f64 a b)) |
(*.f64 a b) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) a) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(/.f64 #s(literal 1/2 binary64) (-.f64 b a)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 a (*.f64 b #s(literal 2 binary64))) (/.f64 (+.f64 b a) (PI.f64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 b a) (-.f64 (neg.f64 b) a))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))) |
(neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))) |
(neg.f64 (*.f64 (neg.f64 (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (PI.f64) (*.f64 a (+.f64 b a))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (neg.f64 (/.f64 (PI.f64) (+.f64 b a))))) |
(neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 b a))) (/.f64 #s(literal -1/2 binary64) b))) |
(neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b a)) (+.f64 b a))) |
(neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (+.f64 b a))) (neg.f64 a))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a (*.f64 b #s(literal 2 binary64))) (/.f64 (+.f64 b a) (PI.f64))))) |
(neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (+.f64 b a))) a)) |
(/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 a (*.f64 b #s(literal 2 binary64)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (PI.f64)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (/.f64 (*.f64 b a) (PI.f64)))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 b a)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 b a) (-.f64 (neg.f64 b) a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 b a)) (-.f64 (neg.f64 b) a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a)))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) (*.f64 b (+.f64 b a))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b #s(literal 2 binary64)))) (+.f64 b a)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 b #s(literal 2 binary64))) (/.f64 (+.f64 b a) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (/.f64 (PI.f64) (*.f64 a (*.f64 b #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b a) (-.f64 (neg.f64 b) a)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) a) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 a #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (+.f64 b a))))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (neg.f64 (*.f64 b (+.f64 b a)))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 (+.f64 b a) (neg.f64 b))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (PI.f64))))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 b a)) (neg.f64 (*.f64 b a))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b a)) (-.f64 (neg.f64 b) a)) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (*.f64 b a) (-.f64 (neg.f64 b) a))) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (*.f64 b a)) (+.f64 b a))) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (+.f64 b a) (neg.f64 (*.f64 b a)))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b (/.f64 (+.f64 b a) (PI.f64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (+.f64 b a) (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (+.f64 b a) (PI.f64)))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) (*.f64 a (+.f64 b a))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (+.f64 b a))) a) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 (+.f64 b a) (PI.f64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 a (/.f64 (+.f64 b a) (PI.f64))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 b a) (*.f64 b (/.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (+.f64 b a))) (neg.f64 a)) |
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 (+.f64 b a) (neg.f64 a))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 b a))) (*.f64 b #s(literal 2 binary64))) |
(/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 a #s(literal 2 binary64))) b) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (+.f64 b a))) b) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) (neg.f64 (/.f64 (+.f64 b a) (PI.f64)))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 a #s(literal 2 binary64)))) (neg.f64 b)) |
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(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) b) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) a)) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) a) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) b)) |
(+.f64 (*.f64 (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a))))) (*.f64 (*.f64 a (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))))) |
(+.f64 (*.f64 (*.f64 a (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a))))) (*.f64 (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))))) |
(+.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a))))) (*.f64 (*.f64 b a) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))))) |
(+.f64 (*.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))))) |
(+.f64 (*.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 b a))) |
(fma.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))))) |
(fma.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (*.f64 (*.f64 a (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))))) |
(fma.f64 (*.f64 a (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (*.f64 (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))))) |
(fma.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (*.f64 (*.f64 b a) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (*.f64 b b) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (*.f64 a (+.f64 b a)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (*.f64 a (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (*.f64 b b))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (fma.f64 b b (*.f64 a a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (*.f64 b a))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) b (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) a)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) a (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) b)) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 b a))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 b a)) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 b a)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1/2 binary64) (-.f64 b a)) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) #s(literal 2 binary64))) |
(/.f64 #s(literal -1/2 binary64) (-.f64 a b)) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) #s(literal -2 binary64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (+.f64 b a))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 b (+.f64 b a) (*.f64 a a))) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) |
(/.f64 (*.f64 (+.f64 b a) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (-.f64 b a))) |
(pow.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(*.f64 (+.f64 b a) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 a b))) |
(*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 b a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (fma.f64 b (+.f64 b a) (*.f64 a a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (+.f64 b a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 b (+.f64 b a) (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 (+.f64 b a) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 a b))) (-.f64 (neg.f64 b) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))) (neg.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (neg.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 (neg.f64 b) a)) |
| 1× | egg-herbie |
| 17 492× | lower-fma.f64 |
| 17 492× | lower-fma.f32 |
| 5 438× | lower-*.f64 |
| 5 438× | lower-*.f32 |
| 3 974× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 529 | 3674 |
| 1 | 1524 | 3592 |
| 2 | 4252 | 3446 |
| 0 | 8267 | 3324 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(* 1/2 (/ (PI) a)) |
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a))) |
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3)))))) |
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3)))))))) |
(* 1/2 (/ (PI) b)) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b) |
(* 1/2 (/ (PI) b)) |
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b)) |
(* 1/2 (/ (PI) b)) |
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3)))))))) |
(* 1/2 (/ (PI) a)) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a) |
(* 1/2 (/ (PI) a)) |
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a)) |
(/ (PI) a) |
(+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a)) |
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a)) |
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a)) |
(/ (PI) b) |
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b) |
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b) |
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b) |
(/ (PI) b) |
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b)) |
(/ (PI) b) |
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b)) |
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b)) |
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b)) |
(/ (PI) a) |
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a) |
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a) |
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a) |
(/ (PI) a) |
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (PI) (pow a 2)) |
(/ (PI) (pow a 2)) |
(/ (PI) (pow a 2)) |
(/ (PI) (pow a 2)) |
(/ (PI) (pow a 2)) |
(/ (PI) (pow a 2)) |
(/ (PI) (pow a 2)) |
(/ (PI) (pow a 2)) |
(/ (PI) (pow a 2)) |
(/ (PI) (pow a 2)) |
(/ (PI) (pow a 2)) |
(/ (PI) (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) |
(pow a 2) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* a (PI)) (pow b 5)))))))) a) |
(* -1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (PI) b)) (* -1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3)))))) (pow a 2)) |
(* -1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a)) (* -1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* -1/2 (/ (* (pow b 2) (PI)) a))) a)) (* 1/2 (PI))) a)) (* -1/2 (/ (PI) b))) (pow a 2)) |
(* -1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (PI)) (pow a 3)))) b) |
(/ (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* -1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/ (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* b (PI)) (pow a 5)))))))) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow b 2)) |
(/ (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/ (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 3)))))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* a (PI)) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(/ -1/2 a) |
(- (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a))) |
(- (* b (- (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a))) |
(- (* b (- (* b (- (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a))) |
(/ 1/2 b) |
(/ (+ 1/2 (* 1/2 (/ a b))) b) |
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* -1/2 (/ a b))) b) |
(/ (- (+ 1/2 (* 1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ a b)) (* -1/2 (/ (pow a 2) (pow b 2))))) b) |
(/ 1/2 b) |
(* -1 (/ (- (* -1/2 (/ a b)) 1/2) b)) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* -1/2 a)) b)) 1/2) b)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* -1/2 a)) b)) 1/2) b)) |
(/ 1/2 b) |
(+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) |
(+ (* a (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) |
(+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) |
(/ -1/2 a) |
(/ (- (* -1/2 (/ b a)) 1/2) a) |
(/ (- (* -1/2 (/ (pow b 2) (pow a 2))) (+ 1/2 (* 1/2 (/ b a)))) a) |
(/ (- (* -1/2 (/ (pow b 3) (pow a 3))) (+ 1/2 (+ (* 1/2 (/ b a)) (* 1/2 (/ (pow b 2) (pow a 2)))))) a) |
(/ -1/2 a) |
(* -1 (/ (+ 1/2 (* 1/2 (/ b a))) a)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow b 2) a)) (* 1/2 b)) a))) a)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* -1/2 (pow b 2))) a)) (* 1/2 b)) a))) a)) |
| Outputs |
|---|
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/2 binary64))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/.f64 (fma.f64 b (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/2 binary64)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 b b) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/2 binary64)))) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) a)) (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))) (*.f64 b b)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) b)))) b)) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) b) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a))) b)) b)) (*.f64 b b)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal 1/2 binary64))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal 1/2 binary64)) (/.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a))) (pow.f64 b #s(literal 4 binary64)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(/.f64 (fma.f64 a (*.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 (PI.f64) (*.f64 a #s(literal -1/2 binary64))) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal 1/2 binary64)))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(/.f64 (fma.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 #s(literal 1/2 binary64) b (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) a))))) (*.f64 a a)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (fma.f64 b (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a)) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) a) (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64)))) a)) a)) (*.f64 a a)) |
(* 1/2 (/ (PI) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a))) |
(*.f64 (/.f64 (PI.f64) a) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/2 binary64))) |
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3)))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (*.f64 b (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64))))) |
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3)))))))) |
(fma.f64 b (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 (*.f64 (PI.f64) b) (pow.f64 a #s(literal 4 binary64))) (*.f64 b #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) |
(* 1/2 (/ (PI) b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) b)))) b) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (*.f64 a (/.f64 a (*.f64 b b))) (PI.f64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) b)))) b) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (PI.f64) b))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (*.f64 a (/.f64 a (*.f64 b b))) (PI.f64)))) b) |
(* 1/2 (/ (PI) b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) |
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) a) b) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (neg.f64 b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) |
(/.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) b) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a))) b)) (neg.f64 b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b)) |
(/.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 a #s(literal -1/2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (/.f64 (*.f64 a (*.f64 a a)) b)) (*.f64 (PI.f64) (*.f64 (*.f64 a a) #s(literal -1/2 binary64)))) b)) b)) (neg.f64 b)) |
(* 1/2 (/ (PI) b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) |
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b))) |
(*.f64 (/.f64 (PI.f64) b) (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal 1/2 binary64))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (*.f64 a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64))))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3)))))))) |
(fma.f64 a (fma.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (/.f64 (*.f64 a (*.f64 (PI.f64) (*.f64 a #s(literal -1/2 binary64)))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) |
(* 1/2 (/ (PI) a)) |
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(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a (/.f64 a b) a) b) #s(literal -1/2 binary64)) (neg.f64 b)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* -1/2 a)) b)) 1/2) b)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (fma.f64 a (/.f64 a b) a)) b) (*.f64 #s(literal 1/2 binary64) a)) b)) b) |
(/ 1/2 b) |
(/.f64 #s(literal 1/2 binary64) b) |
(+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) b)) |
(+ (* a (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 a (*.f64 b (*.f64 b b))) a (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) b)) |
(+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) |
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) b)) |
(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
(/ (- (* -1/2 (/ b a)) 1/2) a) |
(/.f64 (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal -1/2 binary64)) a) |
(/ (- (* -1/2 (/ (pow b 2) (pow a 2))) (+ 1/2 (* 1/2 (/ b a)))) a) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 b (/.f64 b a) b)) a)) a) |
(/ (- (* -1/2 (/ (pow b 3) (pow a 3))) (+ 1/2 (+ (* 1/2 (/ b a)) (* 1/2 (/ (pow b 2) (pow a 2)))))) a) |
(/.f64 (fma.f64 (fma.f64 (*.f64 b b) (/.f64 b (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 b (/.f64 b a) b)) a)) a) |
(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
(* -1 (/ (+ 1/2 (* 1/2 (/ b a))) a)) |
(/.f64 (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal -1/2 binary64)) a) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow b 2) a)) (* 1/2 b)) a))) a)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 b (/.f64 b a) b) a) #s(literal 1/2 binary64)) (neg.f64 a)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* -1/2 (pow b 2))) a)) (* 1/2 b)) a))) a)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 b #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (fma.f64 b (/.f64 b a) b))) a)) a)) a) |
Compiled 24 884 to 3 170 computations (87.3% saved)
17 alts after pruning (15 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 740 | 13 | 1 753 |
| Fresh | 10 | 2 | 12 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 754 | 17 | 1 771 |
| Status | Accuracy | Program |
|---|---|---|
| 64.1% | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a) | |
| 62.7% | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 b (-.f64 a b))) | |
| ▶ | 62.6% | (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a)) |
| 64.1% | (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b a)) | |
| 99.5% | (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b a)) | |
| ▶ | 99.6% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
| 58.9% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) | |
| 57.1% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) | |
| ✓ | 64.0% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
| 68.1% | (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 a b) (*.f64 b (/.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) | |
| 59.0% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 b #s(literal -2 binary64)))) | |
| ▶ | 94.2% | (*.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) a)) |
| 62.7% | (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) b)) | |
| ✓ | 59.0% | (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
| ▶ | 62.7% | (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) (PI.f64)) |
| 99.6% | (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (*.f64 b a)))) | |
| ▶ | 64.1% | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
Compiled 408 to 292 computations (28.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 b (+.f64 b a)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) |
| ✓ | cost-diff | 384 | (*.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) a)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a)) |
| ✓ | cost-diff | 0 | (*.f64 b (-.f64 a b)) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 b (-.f64 a b))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 b a) a) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 b a) (*.f64 b a)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
| 23 560× | lower-fma.f64 |
| 23 560× | lower-fma.f32 |
| 2 580× | lower-*.f32 |
| 2 558× | lower-*.f64 |
| 2 364× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 155 |
| 0 | 46 | 155 |
| 1 | 94 | 155 |
| 2 | 242 | 155 |
| 3 | 491 | 155 |
| 4 | 617 | 155 |
| 5 | 759 | 155 |
| 6 | 1182 | 155 |
| 7 | 2640 | 155 |
| 8 | 4114 | 155 |
| 9 | 6187 | 155 |
| 10 | 6893 | 155 |
| 11 | 7155 | 155 |
| 12 | 7206 | 155 |
| 13 | 7216 | 155 |
| 0 | 8280 | 155 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
#s(literal 1/2 binary64) |
(*.f64 (+.f64 b a) (*.f64 b a)) |
(+.f64 b a) |
b |
a |
(*.f64 b a) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 b a) a) |
(*.f64 b a) |
b |
a |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) (PI.f64)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) |
#s(literal -1/2 binary64) |
(*.f64 a (*.f64 b (-.f64 a b))) |
a |
(*.f64 b (-.f64 a b)) |
b |
(-.f64 a b) |
(PI.f64) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
#s(literal 1/2 binary64) |
(PI.f64) |
b |
(*.f64 b a) |
a |
(*.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) a)) |
(/.f64 (PI.f64) (*.f64 b (+.f64 b a))) |
(PI.f64) |
(*.f64 b (+.f64 b a)) |
b |
(+.f64 b a) |
a |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a)))) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
#s(literal 1/2 binary64) |
(*.f64 (+.f64 b a) (*.f64 b a)) |
(*.f64 a (*.f64 b (+.f64 b a))) |
(+.f64 b a) |
b |
a |
(*.f64 b a) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 b a) a) |
(*.f64 b (*.f64 a a)) |
(*.f64 b a) |
b |
a |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) (PI.f64)) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b (-.f64 b a))))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b (-.f64 b a)))) |
#s(literal -1/2 binary64) |
(*.f64 a (*.f64 b (-.f64 a b))) |
(*.f64 b (*.f64 a (-.f64 a b))) |
a |
(*.f64 b (-.f64 a b)) |
b |
(-.f64 a b) |
(PI.f64) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(PI.f64) |
b |
(*.f64 b a) |
a |
(*.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) a)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a)))) |
(/.f64 (PI.f64) (*.f64 b (+.f64 b a))) |
(PI.f64) |
(*.f64 b (+.f64 b a)) |
b |
(+.f64 b a) |
a |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 b (+.f64 b a)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.0% | (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) |
| ✓ | accuracy | 94.4% | (*.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) a)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (PI.f64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a)) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) |
| ✓ | accuracy | 100.0% | (*.f64 b (-.f64 a b)) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) (PI.f64)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) |
| ✓ | accuracy | 94.3% | (*.f64 a (*.f64 b (-.f64 a b))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 b a) a) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) |
| ✓ | accuracy | 100.0% | (*.f64 b a) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (*.f64 (+.f64 b a) (*.f64 b a)) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
| 47.0ms | 256× | 0 | valid |
Compiled 157 to 27 computations (82.8% saved)
ival-mult: 16.0ms (53.7% of total)ival-div: 10.0ms (33.6% of total)ival-pi: 1.0ms (3.4% of total)ival-sub: 1.0ms (3.4% of total)ival-add: 1.0ms (3.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))> |
#<alt (*.f64 (PI.f64) #s(literal 1/2 binary64))> |
#<alt (PI.f64)> |
#<alt (*.f64 (+.f64 b a) (*.f64 b a))> |
#<alt (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))> |
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))> |
#<alt (*.f64 (*.f64 b a) a)> |
#<alt (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) (PI.f64))> |
#<alt (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b))))> |
#<alt (*.f64 a (*.f64 b (-.f64 a b)))> |
#<alt (*.f64 b (-.f64 a b))> |
#<alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a))> |
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)> |
#<alt (*.f64 #s(literal 1/2 binary64) (PI.f64))> |
#<alt (*.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) a))> |
#<alt (/.f64 (PI.f64) (*.f64 b (+.f64 b a)))> |
#<alt (*.f64 b (+.f64 b a))> |
#<alt (*.f64 b a)> |
| Outputs |
|---|
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (* (pow a 2) b)> |
#<alt (* b (+ (* a b) (pow a 2)))> |
#<alt (* b (+ (* a b) (pow a 2)))> |
#<alt (* b (+ (* a b) (pow a 2)))> |
#<alt (* a (pow b 2))> |
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))> |
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))> |
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))> |
#<alt (* a (pow b 2))> |
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))> |
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))> |
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))> |
#<alt (* a (pow b 2))> |
#<alt (* a (+ (* a b) (pow b 2)))> |
#<alt (* a (+ (* a b) (pow b 2)))> |
#<alt (* a (+ (* a b) (pow b 2)))> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))> |
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))> |
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))> |
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))> |
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* a (PI)) (pow b 5)))))))) a)> |
#<alt (* -1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (PI) b)) (* -1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3)))))) (pow a 2))> |
#<alt (* -1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a)) (* -1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* -1/2 (/ (* (pow b 2) (PI)) a))) a)) (* 1/2 (PI))) a)) (* -1/2 (/ (PI) b))) (pow a 2))> |
#<alt (* -1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (PI)) (pow a 3)))) b)> |
#<alt (/ (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* -1/2 (/ (* b (PI)) (pow a 4)))))) b)> |
#<alt (/ (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* b (PI)) (pow a 5)))))))) b)> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow b 2))> |
#<alt (/ (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))> |
#<alt (/ (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 3)))))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* a (PI)) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ 1/2 (* a (pow b 2)))> |
#<alt (/ (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2)))) a)> |
#<alt (/ (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a)> |
#<alt (/ (+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 5))) (* 1/2 (/ 1 (pow b 4))))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a)> |
#<alt (/ -1/2 (* (pow a 2) b))> |
#<alt (* -1 (/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow a 2)))> |
#<alt (/ (- (* -1/2 (/ b (pow a 2))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (pow a 2))> |
#<alt (/ (- (+ (* -1/2 (/ b (pow a 2))) (* -1/2 (/ (pow b 2) (pow a 3)))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (pow a 2))> |
#<alt (/ -1/2 (* (pow a 2) b))> |
#<alt (* -1 (/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow a 2)))> |
#<alt (/ (- (* -1 (/ (+ 1/2 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b))) (pow a 2))> |
#<alt (/ (- (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 b) (* -1/2 (/ (pow b 2) a))) a))) a)) (* 1/2 (/ 1 b))) (pow a 2))> |
#<alt (/ -1/2 (* (pow a 2) b))> |
#<alt (/ (- (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2)))) b)> |
#<alt (/ (- (* b (- (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b)> |
#<alt (/ (- (* b (- (* b (- (* -1/2 (/ b (pow a 5))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b)> |
#<alt (/ 1/2 (* a (pow b 2)))> |
#<alt (/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2))> |
#<alt (/ (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (pow b 2))> |
#<alt (/ (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))) (pow b 2))> |
#<alt (/ 1/2 (* a (pow b 2)))> |
#<alt (/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (- (* -1/2 (/ a b)) 1/2) b)) (* 1/2 (/ 1 a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (pow a 2) b))) b)) 1/2) b)) (* 1/2 (/ 1 a))) (pow b 2))> |
#<alt (* -1 (* a (pow b 2)))> |
#<alt (* a (+ (* -1 (pow b 2)) (* a b)))> |
#<alt (* a (+ (* -1 (pow b 2)) (* a b)))> |
#<alt (* a (+ (* -1 (pow b 2)) (* a b)))> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) (+ b (* -1 (/ (pow b 2) a))))> |
#<alt (* (pow a 2) (+ b (* -1 (/ (pow b 2) a))))> |
#<alt (* (pow a 2) (+ b (* -1 (/ (pow b 2) a))))> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) (+ b (* -1 (/ (pow b 2) a))))> |
#<alt (* (pow a 2) (+ b (* -1 (/ (pow b 2) a))))> |
#<alt (* (pow a 2) (+ b (* -1 (/ (pow b 2) a))))> |
#<alt (* (pow a 2) b)> |
#<alt (* b (+ (* -1 (* a b)) (pow a 2)))> |
#<alt (* b (+ (* -1 (* a b)) (pow a 2)))> |
#<alt (* b (+ (* -1 (* a b)) (pow a 2)))> |
#<alt (* -1 (* a (pow b 2)))> |
#<alt (* (pow b 2) (+ (* -1 a) (/ (pow a 2) b)))> |
#<alt (* (pow b 2) (+ (* -1 a) (/ (pow a 2) b)))> |
#<alt (* (pow b 2) (+ (* -1 a) (/ (pow a 2) b)))> |
#<alt (* -1 (* a (pow b 2)))> |
#<alt (* (pow b 2) (+ (* -1 a) (/ (pow a 2) b)))> |
#<alt (* (pow b 2) (+ (* -1 a) (/ (pow a 2) b)))> |
#<alt (* (pow b 2) (+ (* -1 a) (/ (pow a 2) b)))> |
#<alt (* a b)> |
#<alt (* b (+ a (* -1 b)))> |
#<alt (* b (+ a (* -1 b)))> |
#<alt (* b (+ a (* -1 b)))> |
#<alt (* -1 (pow b 2))> |
#<alt (* (pow b 2) (- (/ a b) 1))> |
#<alt (* (pow b 2) (- (/ a b) 1))> |
#<alt (* (pow b 2) (- (/ a b) 1))> |
#<alt (* -1 (pow b 2))> |
#<alt (* (pow b 2) (- (/ a b) 1))> |
#<alt (* (pow b 2) (- (/ a b) 1))> |
#<alt (* (pow b 2) (- (/ a b) 1))> |
#<alt (* -1 (pow b 2))> |
#<alt (+ (* -1 (pow b 2)) (* a b))> |
#<alt (+ (* -1 (pow b 2)) (* a b))> |
#<alt (+ (* -1 (pow b 2)) (* a b))> |
#<alt (* a b)> |
#<alt (* a (+ b (* -1 (/ (pow b 2) a))))> |
#<alt (* a (+ b (* -1 (/ (pow b 2) a))))> |
#<alt (* a (+ b (* -1 (/ (pow b 2) a))))> |
#<alt (* a b)> |
#<alt (* -1 (* a (+ (* -1 b) (/ (pow b 2) a))))> |
#<alt (* -1 (* a (+ (* -1 b) (/ (pow b 2) a))))> |
#<alt (* -1 (* a (+ (* -1 b) (/ (pow b 2) a))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a)) b)> |
#<alt (/ (+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a)) b)> |
#<alt (/ (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a)) b)> |
#<alt (/ (PI) (pow b 2))> |
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) (pow b 2))> |
#<alt (/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) (pow b 2))> |
#<alt (/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) (pow b 2))> |
#<alt (/ (PI) (pow b 2))> |
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) (pow b 2))> |
#<alt (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (* (pow a 2) (PI)) b)) (* a (PI))) b))) (pow b 2))> |
#<alt (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow a 3) (PI)) b)) (* (pow a 2) (PI))) b)) (* a (PI))) b))) (pow b 2))> |
#<alt (/ (PI) (pow b 2))> |
#<alt (+ (* -1 (/ (* a (PI)) (pow b 3))) (/ (PI) (pow b 2)))> |
#<alt (+ (* a (- (/ (* a (PI)) (pow b 4)) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2)))> |
#<alt (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 5))) (* -1 (/ (PI) (pow b 4))))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2)))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (+ (* -1 (/ (PI) a)) (/ (PI) b)) a)> |
#<alt (/ (- (+ (/ (PI) b) (/ (* b (PI)) (pow a 2))) (/ (PI) a)) a)> |
#<alt (/ (- (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 3))) (/ (PI) b)) (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))) a)> |
#<alt (/ (PI) (* a b))> |
#<alt (* -1 (/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (PI) b)) (* -1 (/ (- (/ (* b (PI)) a) (PI)) a))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (PI) b)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a)) (PI)) a))) a))> |
#<alt (* a b)> |
#<alt (* b (+ a b))> |
#<alt (* b (+ a b))> |
#<alt (* b (+ a b))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (/ a b)))> |
#<alt (* (pow b 2) (+ 1 (/ a b)))> |
#<alt (* (pow b 2) (+ 1 (/ a b)))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (/ a b)))> |
#<alt (* (pow b 2) (+ 1 (/ a b)))> |
#<alt (* (pow b 2) (+ 1 (/ a b)))> |
#<alt (pow b 2)> |
#<alt (+ (* a b) (pow b 2))> |
#<alt (+ (* a b) (pow b 2))> |
#<alt (+ (* a b) (pow b 2))> |
#<alt (* a b)> |
#<alt (* a (+ b (/ (pow b 2) a)))> |
#<alt (* a (+ b (/ (pow b 2) a)))> |
#<alt (* a (+ b (/ (pow b 2) a)))> |
#<alt (* a b)> |
#<alt (* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))> |
#<alt (* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))> |
#<alt (* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | -inf | (/ -1/2 (* a (* b (- a b)))) |
| 1.0ms | b | @ | inf | (/ -1/2 (* a (* b (- a b)))) |
| 1.0ms | a | @ | 0 | (/ (/ (* 1/2 (PI)) b) (* b a)) |
| 1.0ms | b | @ | 0 | (/ (/ (* 1/2 (PI)) b) (* b a)) |
| 0.0ms | b | @ | -inf | (* (+ b a) (* b a)) |
| 1× | batch-egg-rewrite |
| 6 778× | lower-*.f32 |
| 6 756× | lower-*.f64 |
| 3 766× | lower-/.f32 |
| 3 752× | lower-/.f64 |
| 2 346× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 118 |
| 0 | 46 | 118 |
| 1 | 177 | 118 |
| 2 | 1217 | 118 |
| 0 | 9072 | 118 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
(*.f64 (+.f64 b a) (*.f64 b a)) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) |
(*.f64 (*.f64 b a) a) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) (PI.f64)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) |
(*.f64 a (*.f64 b (-.f64 a b))) |
(*.f64 b (-.f64 a b)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) a)) |
(/.f64 (PI.f64) (*.f64 b (+.f64 b a))) |
(*.f64 b (+.f64 b a)) |
(*.f64 b a) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 b (*.f64 (+.f64 b a) a)) #s(literal 2 binary64)) (PI.f64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 (+.f64 b a) a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 b (*.f64 (+.f64 b a) a)))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 (+.f64 b a) a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) (+.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 (neg.f64 a) (+.f64 b a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b (+.f64 b a)))))) (/.f64 (PI.f64) (neg.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b (+.f64 b a))))))) |
(neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 (+.f64 b a) a)))) |
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 (neg.f64 a) (+.f64 b a)))) |
(neg.f64 (/.f64 (PI.f64) (neg.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b (+.f64 b a))))))) |
(neg.f64 (*.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a)))) (/.f64 #s(literal 1/2 binary64) a))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) (*.f64 b (+.f64 b a))))) |
(neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (/.f64 #s(literal -1/2 binary64) a))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a)))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 (+.f64 b a) a))))) |
(neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 (+.f64 b a) a))) |
(neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 a (+.f64 b a)))) |
(neg.f64 (/.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a)))) (*.f64 a #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 b (+.f64 b a)) (PI.f64)))) |
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (+.f64 b a)))) (neg.f64 a))) |
(neg.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) (neg.f64 (*.f64 b (+.f64 b a))))) |
(neg.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (neg.f64 (*.f64 b a)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 (+.f64 b a) a)) #s(literal 2 binary64)) (PI.f64)))) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b (+.f64 b a)))) a)) |
(neg.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal -2 binary64))) (*.f64 b (+.f64 b a)))) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (+.f64 b a))) (*.f64 b a))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b (+.f64 b a))))) |
(/.f64 (PI.f64) (*.f64 (*.f64 b (*.f64 (+.f64 b a) a)) #s(literal 2 binary64))) |
(/.f64 (PI.f64) (*.f64 (*.f64 a #s(literal -2 binary64)) (neg.f64 (*.f64 b (+.f64 b a))))) |
(/.f64 (PI.f64) (*.f64 (+.f64 b a) (*.f64 (*.f64 b a) #s(literal 2 binary64)))) |
(/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) (+.f64 b a))) |
(/.f64 (PI.f64) (neg.f64 (neg.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b (+.f64 b a))))))) |
(/.f64 (PI.f64) (neg.f64 (neg.f64 (*.f64 (*.f64 b (*.f64 (+.f64 b a) a)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64)) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (*.f64 (+.f64 b a) a)) (PI.f64))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64))) (neg.f64 a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 a) (neg.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 b a) (PI.f64)) (*.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64)) a)))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 b (*.f64 (+.f64 b a) a)) (PI.f64))))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 (+.f64 b a) a))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64)) a))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 b (*.f64 (+.f64 b a) a)) (PI.f64)))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64))) a)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 a (neg.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64))))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (+.f64 b a) (PI.f64)) (neg.f64 (*.f64 b a)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a (+.f64 b a))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 (neg.f64 a) (neg.f64 (+.f64 b a)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (neg.f64 (*.f64 (neg.f64 a) (+.f64 b a)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (neg.f64 (neg.f64 (*.f64 (+.f64 b a) a)))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 b (+.f64 b a)) (PI.f64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 (+.f64 b a) (PI.f64)) b)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 b (PI.f64)) (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 (+.f64 b a) a)) #s(literal 2 binary64)) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64))) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal -2 binary64)) (neg.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b (+.f64 b a)))) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64)) a) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64)) a)) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b a) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 b a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b (+.f64 b a))))) (neg.f64 (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b a))) (/.f64 (PI.f64) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (+.f64 b a) a)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 b a) a) #s(literal 2 binary64)) (/.f64 (PI.f64) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) a))) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (*.f64 b (*.f64 (+.f64 b a) a)))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (neg.f64 (*.f64 (+.f64 b a) a))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 (neg.f64 a) (+.f64 b a))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 (neg.f64 (+.f64 b a)) a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 a (neg.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 (*.f64 b (*.f64 (+.f64 b a) a)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b (+.f64 b a)))))) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 b (+.f64 b a)) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 b (+.f64 b a)))) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 (neg.f64 (+.f64 b a)) (*.f64 (*.f64 b a) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) (neg.f64 (+.f64 b a)))) |
(/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (*.f64 b a) #s(literal 2 binary64))) |
(/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (*.f64 a #s(literal 2 binary64)) b)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 (+.f64 b a) (PI.f64))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) b)) |
(/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (+.f64 b a)))) a) |
(/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) (*.f64 b (+.f64 b a))) |
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (*.f64 b a)) |
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64)))) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 (*.f64 (+.f64 b a) a) #s(literal 2 binary64))) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b a)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (*.f64 (+.f64 b a) a)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a #s(literal 2 binary64)) (neg.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (*.f64 b (+.f64 b a)) (PI.f64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 b a)))) |
(/.f64 (/.f64 (PI.f64) (neg.f64 b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (neg.f64 (+.f64 b a)))) |
(/.f64 (/.f64 (PI.f64) (neg.f64 b)) (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b a))) |
(/.f64 (/.f64 (PI.f64) (neg.f64 b)) (neg.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b a))))) |
(/.f64 (/.f64 (PI.f64) (neg.f64 b)) (neg.f64 (*.f64 (*.f64 (+.f64 b a) a) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal -2 binary64))) (neg.f64 (*.f64 b (+.f64 b a)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (+.f64 b a))) (neg.f64 (*.f64 b a))) |
(/.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a)))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b a)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b (+.f64 b a)))) (neg.f64 a)) |
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b a)) (neg.f64 (+.f64 b a))) |
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) (+.f64 b a)) b) |
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) b) a) |
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) a) b) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a (+.f64 b a))) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 b (+.f64 b a))) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 b (*.f64 (+.f64 b a) a)))) |
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (+.f64 b a) a))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) (*.f64 a (/.f64 (+.f64 b a) (PI.f64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (neg.f64 (PI.f64))) (*.f64 a (neg.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) #s(literal -1 binary64)) (neg.f64 (*.f64 (+.f64 b a) a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal -1/2 binary64)) (neg.f64 (*.f64 b a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1 binary64)) (*.f64 b (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal -1 binary64)) (*.f64 b (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal -1 binary64)) (*.f64 (+.f64 b a) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (neg.f64 b)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (+.f64 b a)) (neg.f64 a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (neg.f64 b)) #s(literal 1 binary64)) (*.f64 (neg.f64 (+.f64 b a)) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (neg.f64 b)) #s(literal -1 binary64)) (*.f64 (neg.f64 (+.f64 b a)) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (+.f64 b a))) (*.f64 (*.f64 a #s(literal -2 binary64)) b)) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (neg.f64 b))) (*.f64 (*.f64 a #s(literal -2 binary64)) (neg.f64 (+.f64 b a)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 (/.f64 (+.f64 b a) (PI.f64)) a)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 b a))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) (+.f64 b a))) (neg.f64 b)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) b)) (neg.f64 a)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) a)) (neg.f64 b)) |
(pow.f64 (/.f64 (*.f64 (*.f64 b (*.f64 (+.f64 b a) a)) #s(literal 2 binary64)) (PI.f64)) #s(literal -1 binary64)) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (+.f64 b a) a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b (+.f64 b a)))))) |
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))) |
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 b a) a) #s(literal 2 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 (+.f64 b a) a)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64)) a))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (/.f64 #s(literal 1 binary64) a))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 (+.f64 b a) a))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))) |
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(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) b) (*.f64 (/.f64 (cbrt.f64 (PI.f64)) (+.f64 b a)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (+.f64 b a)) (/.f64 (cbrt.f64 (PI.f64)) b)) |
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (+.f64 b a)) (*.f64 (/.f64 (cbrt.f64 (PI.f64)) b) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) b) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 b a))) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) b) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 b a)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 b a)) (/.f64 (sqrt.f64 (PI.f64)) b)) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 b a)) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) b) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (PI.f64) b)) |
(*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal -1 binary64) (*.f64 b (+.f64 b a))))) |
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal -1 binary64) (*.f64 b (+.f64 b a))))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (fma.f64 a a (*.f64 b (-.f64 b a)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 b a)) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 (-.f64 b a) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 b (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 b a) (cbrt.f64 (PI.f64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 b (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 b a) (sqrt.f64 (PI.f64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 b a) (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 b (sqrt.f64 (PI.f64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 b a) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 b (cbrt.f64 (PI.f64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) (/.f64 (PI.f64) (+.f64 b a))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (PI.f64)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (pow.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a))) #s(literal 1 binary64)) (PI.f64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (PI.f64)) (/.f64 #s(literal 1 binary64) (+.f64 b a))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) (+.f64 b a))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 b a))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) b)) (/.f64 (cbrt.f64 (PI.f64)) (+.f64 b a))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (+.f64 b a))) (/.f64 (cbrt.f64 (PI.f64)) b)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) b)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 b a))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 b a))) (/.f64 (sqrt.f64 (PI.f64)) b)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) b) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))))) (fma.f64 a a (*.f64 b (-.f64 b a)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) b) (*.f64 (+.f64 b a) (-.f64 b a)))) (-.f64 b a)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (PI.f64) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))))) (fma.f64 a a (*.f64 b (-.f64 b a)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (PI.f64) (*.f64 (+.f64 b a) (-.f64 b a)))) (-.f64 b a)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal 1 binary64)) (/.f64 (PI.f64) b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) b)) |
(+.f64 (*.f64 b a) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 b a)) |
(+.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)) (*.f64 b a)) |
(-.f64 (*.f64 b b) (neg.f64 (*.f64 b a))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 b (+.f64 b a)))) |
(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (-.f64 b a))) (/.f64 (*.f64 b (*.f64 a (*.f64 b a))) (*.f64 b (-.f64 b a)))) |
(fma.f64 b b (*.f64 b a)) |
(fma.f64 b a (*.f64 b b)) |
(fma.f64 a b (*.f64 b b)) |
(fma.f64 (*.f64 b a) #s(literal 1 binary64) (*.f64 b b)) |
(fma.f64 #s(literal 1 binary64) (*.f64 b a) (*.f64 b b)) |
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 b a)) |
(fma.f64 (neg.f64 a) (neg.f64 b) (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 a) (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 b a)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b a)) (*.f64 b b)) |
(fma.f64 #s(literal -1 binary64) (*.f64 b (neg.f64 b)) (*.f64 b a)) |
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 b a)) |
(fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) b (*.f64 b a)) |
(neg.f64 (neg.f64 (*.f64 b (+.f64 b a)))) |
(/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 b a))) |
(/.f64 (*.f64 b (+.f64 b a)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b a)))) (*.f64 (*.f64 b (*.f64 b b)) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (-.f64 b a)) (*.f64 (*.f64 b (+.f64 b a)) (*.f64 b (-.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (*.f64 b (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (*.f64 b (+.f64 b a)) (-.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 b a) (*.f64 b (-.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 b (+.f64 b a))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 b (*.f64 b b)) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b a))))) |
(/.f64 (*.f64 (*.f64 b (+.f64 b a)) (*.f64 b (-.f64 b a))) (*.f64 b (-.f64 b a))) |
(/.f64 (*.f64 b (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (fma.f64 a a (*.f64 b (-.f64 b a)))) |
(/.f64 (*.f64 (*.f64 b (+.f64 b a)) (-.f64 b a)) (-.f64 b a)) |
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) b) (fma.f64 a a (*.f64 b (-.f64 b a)))) |
(/.f64 (*.f64 (+.f64 b a) (*.f64 b (-.f64 b a))) (-.f64 b a)) |
(/.f64 (neg.f64 (*.f64 (*.f64 b (*.f64 b b)) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))))) (neg.f64 (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b a)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 b (+.f64 b a)) (*.f64 b (-.f64 b a)))) (neg.f64 (*.f64 b (-.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 b (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))))) (neg.f64 (fma.f64 a a (*.f64 b (-.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 b (+.f64 b a)) (-.f64 b a))) (-.f64 a b)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) b)) (neg.f64 (fma.f64 a a (*.f64 b (-.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (*.f64 b (-.f64 b a)))) (-.f64 a b)) |
(/.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (fma.f64 b (*.f64 a (*.f64 b a)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b a) (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (pow.f64 (neg.f64 (*.f64 b a)) #s(literal 3 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (neg.f64 (*.f64 b a)) (neg.f64 (*.f64 b a)) (*.f64 (*.f64 b b) (neg.f64 (*.f64 b a)))))) |
(/.f64 (-.f64 (*.f64 b (*.f64 a (*.f64 b a))) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 b a) (*.f64 b b))) |
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (neg.f64 (*.f64 b a)) (neg.f64 (*.f64 b a)))) (*.f64 b (-.f64 b a))) |
(*.f64 b (+.f64 b a)) |
(*.f64 (+.f64 b a) b) |
(*.f64 (*.f64 b (+.f64 b a)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a))) |
(*.f64 (neg.f64 b) (neg.f64 (+.f64 b a))) |
(*.f64 (neg.f64 b) (-.f64 (neg.f64 b) a)) |
(*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b (-.f64 b a)))) b)) |
(*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) b)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b (+.f64 b a)))) |
(*.f64 (neg.f64 (+.f64 b a)) (neg.f64 b)) |
(*.f64 (*.f64 (*.f64 b (*.f64 b b)) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b a)))))) |
(*.f64 (*.f64 (*.f64 b (+.f64 b a)) (*.f64 b (-.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b (-.f64 b a)))) |
(*.f64 (*.f64 b (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b (-.f64 b a))))) |
(*.f64 (*.f64 (*.f64 b (+.f64 b a)) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) |
(*.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b (-.f64 b a))))) |
(*.f64 (*.f64 (+.f64 b a) (*.f64 b (-.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 b a))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 b a))) |
(neg.f64 (neg.f64 (*.f64 b a))) |
(/.f64 a (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (*.f64 b a) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) b)) |
(/.f64 (neg.f64 (*.f64 b a)) #s(literal -1 binary64)) |
(*.f64 b a) |
(*.f64 a b) |
(*.f64 (*.f64 b a) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 b a)) |
(*.f64 (neg.f64 a) (neg.f64 b)) |
(*.f64 (neg.f64 b) (neg.f64 a)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b a))) |
| 1× | egg-herbie |
| 13 978× | lower-fma.f64 |
| 13 978× | lower-fma.f32 |
| 5 272× | lower-*.f64 |
| 5 272× | lower-*.f32 |
| 3 142× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 465 | 3973 |
| 1 | 1314 | 3858 |
| 2 | 3595 | 3749 |
| 0 | 8125 | 3622 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(* (pow a 2) b) |
(* b (+ (* a b) (pow a 2))) |
(* b (+ (* a b) (pow a 2))) |
(* b (+ (* a b) (pow a 2))) |
(* a (pow b 2)) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(* a (pow b 2)) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(* a (pow b 2)) |
(* a (+ (* a b) (pow b 2))) |
(* a (+ (* a b) (pow b 2))) |
(* a (+ (* a b) (pow b 2))) |
(* (pow a 2) b) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(* (pow a 2) b) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* a (PI)) (pow b 5)))))))) a) |
(* -1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (PI) b)) (* -1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3)))))) (pow a 2)) |
(* -1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a)) (* -1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* -1/2 (/ (* (pow b 2) (PI)) a))) a)) (* 1/2 (PI))) a)) (* -1/2 (/ (PI) b))) (pow a 2)) |
(* -1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (PI)) (pow a 3)))) b) |
(/ (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* -1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/ (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* b (PI)) (pow a 5)))))))) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow b 2)) |
(/ (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/ (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 3)))))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* a (PI)) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ 1/2 (* a (pow b 2))) |
(/ (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2)))) a) |
(/ (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a) |
(/ (+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 5))) (* 1/2 (/ 1 (pow b 4))))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a) |
(/ -1/2 (* (pow a 2) b)) |
(* -1 (/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow a 2))) |
(/ (- (* -1/2 (/ b (pow a 2))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (pow a 2)) |
(/ (- (+ (* -1/2 (/ b (pow a 2))) (* -1/2 (/ (pow b 2) (pow a 3)))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (pow a 2)) |
(/ -1/2 (* (pow a 2) b)) |
(* -1 (/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow a 2))) |
(/ (- (* -1 (/ (+ 1/2 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b))) (pow a 2)) |
(/ (- (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 b) (* -1/2 (/ (pow b 2) a))) a))) a)) (* 1/2 (/ 1 b))) (pow a 2)) |
(/ -1/2 (* (pow a 2) b)) |
(/ (- (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2)))) b) |
(/ (- (* b (- (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b) |
(/ (- (* b (- (* b (- (* -1/2 (/ b (pow a 5))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b) |
(/ 1/2 (* a (pow b 2))) |
(/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2)) |
(/ (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (pow b 2)) |
(/ (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))) (pow b 2)) |
(/ 1/2 (* a (pow b 2))) |
(/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2)) |
(/ (+ (* -1 (/ (- (* -1/2 (/ a b)) 1/2) b)) (* 1/2 (/ 1 a))) (pow b 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (pow a 2) b))) b)) 1/2) b)) (* 1/2 (/ 1 a))) (pow b 2)) |
(* -1 (* a (pow b 2))) |
(* a (+ (* -1 (pow b 2)) (* a b))) |
(* a (+ (* -1 (pow b 2)) (* a b))) |
(* a (+ (* -1 (pow b 2)) (* a b))) |
(* (pow a 2) b) |
(* (pow a 2) (+ b (* -1 (/ (pow b 2) a)))) |
(* (pow a 2) (+ b (* -1 (/ (pow b 2) a)))) |
(* (pow a 2) (+ b (* -1 (/ (pow b 2) a)))) |
(* (pow a 2) b) |
(* (pow a 2) (+ b (* -1 (/ (pow b 2) a)))) |
(* (pow a 2) (+ b (* -1 (/ (pow b 2) a)))) |
(* (pow a 2) (+ b (* -1 (/ (pow b 2) a)))) |
(* (pow a 2) b) |
(* b (+ (* -1 (* a b)) (pow a 2))) |
(* b (+ (* -1 (* a b)) (pow a 2))) |
(* b (+ (* -1 (* a b)) (pow a 2))) |
(* -1 (* a (pow b 2))) |
(* (pow b 2) (+ (* -1 a) (/ (pow a 2) b))) |
(* (pow b 2) (+ (* -1 a) (/ (pow a 2) b))) |
(* (pow b 2) (+ (* -1 a) (/ (pow a 2) b))) |
(* -1 (* a (pow b 2))) |
(* (pow b 2) (+ (* -1 a) (/ (pow a 2) b))) |
(* (pow b 2) (+ (* -1 a) (/ (pow a 2) b))) |
(* (pow b 2) (+ (* -1 a) (/ (pow a 2) b))) |
(* a b) |
(* b (+ a (* -1 b))) |
(* b (+ a (* -1 b))) |
(* b (+ a (* -1 b))) |
(* -1 (pow b 2)) |
(* (pow b 2) (- (/ a b) 1)) |
(* (pow b 2) (- (/ a b) 1)) |
(* (pow b 2) (- (/ a b) 1)) |
(* -1 (pow b 2)) |
(* (pow b 2) (- (/ a b) 1)) |
(* (pow b 2) (- (/ a b) 1)) |
(* (pow b 2) (- (/ a b) 1)) |
(* -1 (pow b 2)) |
(+ (* -1 (pow b 2)) (* a b)) |
(+ (* -1 (pow b 2)) (* a b)) |
(+ (* -1 (pow b 2)) (* a b)) |
(* a b) |
(* a (+ b (* -1 (/ (pow b 2) a)))) |
(* a (+ b (* -1 (/ (pow b 2) a)))) |
(* a (+ b (* -1 (/ (pow b 2) a)))) |
(* a b) |
(* -1 (* a (+ (* -1 b) (/ (pow b 2) a)))) |
(* -1 (* a (+ (* -1 b) (/ (pow b 2) a)))) |
(* -1 (* a (+ (* -1 b) (/ (pow b 2) a)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) b)) |
(* 1/2 (/ (PI) b)) |
(* 1/2 (/ (PI) b)) |
(* 1/2 (/ (PI) b)) |
(* 1/2 (/ (PI) b)) |
(* 1/2 (/ (PI) b)) |
(* 1/2 (/ (PI) b)) |
(* 1/2 (/ (PI) b)) |
(* 1/2 (/ (PI) b)) |
(* 1/2 (/ (PI) b)) |
(* 1/2 (/ (PI) b)) |
(* 1/2 (/ (PI) b)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (PI) (* a b)) |
(/ (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a)) b) |
(/ (+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a)) b) |
(/ (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a)) b) |
(/ (PI) (pow b 2)) |
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) (pow b 2)) |
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) (pow b 2)) |
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) (pow b 2)) |
(/ (PI) (pow b 2)) |
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) (pow b 2)) |
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (* (pow a 2) (PI)) b)) (* a (PI))) b))) (pow b 2)) |
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow a 3) (PI)) b)) (* (pow a 2) (PI))) b)) (* a (PI))) b))) (pow b 2)) |
(/ (PI) (pow b 2)) |
(+ (* -1 (/ (* a (PI)) (pow b 3))) (/ (PI) (pow b 2))) |
(+ (* a (- (/ (* a (PI)) (pow b 4)) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) |
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 5))) (* -1 (/ (PI) (pow b 4))))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) |
(/ (PI) (* a b)) |
(/ (+ (* -1 (/ (PI) a)) (/ (PI) b)) a) |
(/ (- (+ (/ (PI) b) (/ (* b (PI)) (pow a 2))) (/ (PI) a)) a) |
(/ (- (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 3))) (/ (PI) b)) (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))) a) |
(/ (PI) (* a b)) |
(* -1 (/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) a)) |
(* -1 (/ (+ (* -1 (/ (PI) b)) (* -1 (/ (- (/ (* b (PI)) a) (PI)) a))) a)) |
(* -1 (/ (+ (* -1 (/ (PI) b)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a)) (PI)) a))) a)) |
(* a b) |
(* b (+ a b)) |
(* b (+ a b)) |
(* b (+ a b)) |
(pow b 2) |
(* (pow b 2) (+ 1 (/ a b))) |
(* (pow b 2) (+ 1 (/ a b))) |
(* (pow b 2) (+ 1 (/ a b))) |
(pow b 2) |
(* (pow b 2) (+ 1 (/ a b))) |
(* (pow b 2) (+ 1 (/ a b))) |
(* (pow b 2) (+ 1 (/ a b))) |
(pow b 2) |
(+ (* a b) (pow b 2)) |
(+ (* a b) (pow b 2)) |
(+ (* a b) (pow b 2)) |
(* a b) |
(* a (+ b (/ (pow b 2) a))) |
(* a (+ b (/ (pow b 2) a))) |
(* a (+ b (/ (pow b 2) a))) |
(* a b) |
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a))))) |
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a))))) |
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a))))) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
| Outputs |
|---|
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 (PI.f64) b)) (*.f64 (*.f64 a a) (*.f64 a a)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(/.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 b b))) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 a (*.f64 b b)) (/.f64 (PI.f64) a)))) (*.f64 b b)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) a)) b)) b)) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (/.f64 (*.f64 a a) b)))) b)) b)) (*.f64 b b)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) a)) (*.f64 b (*.f64 b b)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/.f64 (fma.f64 a (fma.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) a)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a)) |
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(/.f64 (fma.f64 a (fma.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) a)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (PI.f64) a)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 b (*.f64 a a)) (/.f64 (PI.f64) b)))) (*.f64 a a)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (fma.f64 b (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a)) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (PI.f64)) a)) a)) a)) (*.f64 a a)) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a)) b) |
(/.f64 (/.f64 (fma.f64 b (/.f64 (PI.f64) (neg.f64 a)) (PI.f64)) a) b) |
(/ (+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a)) b) |
(/.f64 (fma.f64 b (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 b a) #s(literal -1 binary64))) (/.f64 (PI.f64) a)) b) |
(/ (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a)) b) |
(/.f64 (fma.f64 b (fma.f64 b (/.f64 (*.f64 (PI.f64) b) (neg.f64 (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 b a) #s(literal -1 binary64)))) (/.f64 (PI.f64) a)) b) |
(/ (PI) (pow b 2)) |
(/.f64 (PI.f64) (*.f64 b b)) |
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) (pow b 2)) |
(/.f64 (-.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) a) b)) (*.f64 b b)) |
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (-.f64 (/.f64 (*.f64 a a) b) a) (PI.f64)) (*.f64 b b)) |
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) (pow b 2)) |
(/.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) b) (-.f64 (/.f64 (*.f64 a a) b) a) (PI.f64)) (/.f64 (*.f64 (PI.f64) (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b b)))) (*.f64 b b)) |
(/ (PI) (pow b 2)) |
(/.f64 (PI.f64) (*.f64 b b)) |
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) (pow b 2)) |
(/.f64 (-.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) a) b)) (*.f64 b b)) |
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (* (pow a 2) (PI)) b)) (* a (PI))) b))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (-.f64 (/.f64 (*.f64 a a) b) a) (PI.f64)) (*.f64 b b)) |
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow a 3) (PI)) b)) (* (pow a 2) (PI))) b)) (* a (PI))) b))) (pow b 2)) |
(/.f64 (-.f64 (PI.f64) (/.f64 (-.f64 (*.f64 (PI.f64) a) (/.f64 (*.f64 (*.f64 a a) (-.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) a) b))) b)) b)) (*.f64 b b)) |
(/ (PI) (pow b 2)) |
(/.f64 (PI.f64) (*.f64 b b)) |
(+ (* -1 (/ (* a (PI)) (pow b 3))) (/ (PI) (pow b 2))) |
(/.f64 (-.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) a) b)) (*.f64 b b)) |
(+ (* a (- (/ (* a (PI)) (pow b 4)) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) |
(fma.f64 a (/.f64 (*.f64 (PI.f64) a) (pow.f64 b #s(literal 4 binary64))) (/.f64 (-.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) a) b)) (*.f64 b b))) |
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 5))) (* -1 (/ (PI) (pow b 4))))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) |
(fma.f64 a (*.f64 a (-.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 (PI.f64) a) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (-.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) a) b)) (*.f64 b b))) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (+ (* -1 (/ (PI) a)) (/ (PI) b)) a) |
(-.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 (PI.f64) (*.f64 a a))) |
(/ (- (+ (/ (PI) b) (/ (* b (PI)) (pow a 2))) (/ (PI) a)) a) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 (PI.f64) b)) a) |
(/ (- (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 3))) (/ (PI) b)) (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))) a) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (-.f64 (/.f64 (*.f64 b b) a) b)) a) (PI.f64)) a) (/.f64 (PI.f64) b)) (neg.f64 a)) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(* -1 (/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) a)) |
(-.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 (PI.f64) (*.f64 a a))) |
(* -1 (/ (+ (* -1 (/ (PI) b)) (* -1 (/ (- (/ (* b (PI)) a) (PI)) a))) a)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 (PI.f64) b)) a) |
(* -1 (/ (+ (* -1 (/ (PI) b)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a)) (PI)) a))) a)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (-.f64 (/.f64 (*.f64 b b) a) b)) a) (PI.f64)) a) (/.f64 (PI.f64) b)) (neg.f64 a)) |
(* a b) |
(*.f64 a b) |
(* b (+ a b)) |
(*.f64 b (+.f64 a b)) |
(* b (+ a b)) |
(*.f64 b (+.f64 a b)) |
(* b (+ a b)) |
(*.f64 b (+.f64 a b)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (/ a b))) |
(*.f64 b (fma.f64 b (/.f64 a b) b)) |
(* (pow b 2) (+ 1 (/ a b))) |
(*.f64 b (fma.f64 b (/.f64 a b) b)) |
(* (pow b 2) (+ 1 (/ a b))) |
(*.f64 b (fma.f64 b (/.f64 a b) b)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (/ a b))) |
(*.f64 b (fma.f64 b (/.f64 a b) b)) |
(* (pow b 2) (+ 1 (/ a b))) |
(*.f64 b (fma.f64 b (/.f64 a b) b)) |
(* (pow b 2) (+ 1 (/ a b))) |
(*.f64 b (fma.f64 b (/.f64 a b) b)) |
(pow b 2) |
(*.f64 b b) |
(+ (* a b) (pow b 2)) |
(*.f64 b (+.f64 a b)) |
(+ (* a b) (pow b 2)) |
(*.f64 b (+.f64 a b)) |
(+ (* a b) (pow b 2)) |
(*.f64 b (+.f64 a b)) |
(* a b) |
(*.f64 a b) |
(* a (+ b (/ (pow b 2) a))) |
(*.f64 a (fma.f64 b (/.f64 b a) b)) |
(* a (+ b (/ (pow b 2) a))) |
(*.f64 a (fma.f64 b (/.f64 b a) b)) |
(* a (+ b (/ (pow b 2) a))) |
(*.f64 a (fma.f64 b (/.f64 b a) b)) |
(* a b) |
(*.f64 a b) |
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a))))) |
(*.f64 a (fma.f64 b (/.f64 b a) b)) |
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a))))) |
(*.f64 a (fma.f64 b (/.f64 b a) b)) |
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a))))) |
(*.f64 a (fma.f64 b (/.f64 b a) b)) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
Compiled 30 973 to 3 840 computations (87.6% saved)
17 alts after pruning (12 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 092 | 9 | 2 101 |
| Fresh | 7 | 3 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 2 101 | 17 | 2 118 |
| Status | Accuracy | Program |
|---|---|---|
| 64.1% | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a) | |
| ✓ | 62.6% | (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a)) |
| 64.1% | (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b a)) | |
| 62.6% | (/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal 2 binary64))) b) | |
| 57.2% | (/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) (*.f64 b b)) | |
| 99.6% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (/.f64 a (/.f64 #s(literal 1 binary64) b)))) | |
| ✓ | 99.6% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
| 62.6% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))) | |
| 58.9% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) | |
| 57.1% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b))) | |
| ✓ | 64.0% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
| 58.9% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 b (PI.f64)) (*.f64 a a))) | |
| 57.1% | (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) | |
| ✓ | 59.0% | (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
| 62.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) b) a)) | |
| ✓ | 64.1% | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
| 62.6% | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))) |
Compiled 1 062 to 348 computations (67.2% saved)
| Inputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 b (PI.f64)) (*.f64 a a))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) a) |
(/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) (*.f64 b b)) |
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal 2 binary64))) b) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b a)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a) |
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (neg.f64 a))))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (*.f64 b a)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 b a) (PI.f64)) (*.f64 b a))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a)) |
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 b (-.f64 a b))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 b #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) b) a)) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) a) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 a b) (*.f64 b (/.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) |
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 (+.f64 b a) (PI.f64))) |
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 b (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))))) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (/.f64 a (/.f64 #s(literal 1 binary64) b)))) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)) b) a)) |
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))))) |
(*.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 b a)) |
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 (-.f64 b a) (*.f64 b a)))) |
(*.f64 (-.f64 b a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))))) |
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a)))) |
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.f64 a a)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 b b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 b a))))) |
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b a)) |
(fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b a)) |
3 calls:
| 38.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 26.0ms | a |
| 17.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | a |
| 99.7% | 1 | b |
| 99.7% | 1 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
Compiled 29 to 19 computations (34.5% saved)
| Inputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 b (PI.f64)) (*.f64 a a))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) a) |
(/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) (*.f64 b b)) |
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal 2 binary64))) b) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b a)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a) |
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (neg.f64 a))))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (*.f64 b a)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 b a) (PI.f64)) (*.f64 b a))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a)) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a)) |
3 calls:
| 37.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 9.0ms | b |
| 9.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | a |
| 99.6% | 1 | b |
| 99.6% | 1 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
Compiled 29 to 19 computations (34.5% saved)
| Inputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 b (PI.f64)) (*.f64 a a))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) a) |
(/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) (*.f64 b b)) |
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal 2 binary64))) b) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b a)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a) |
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (neg.f64 a))))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (*.f64 b a)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 b a) (PI.f64)) (*.f64 b a))) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) |
3 calls:
| 27.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 8.0ms | b |
| 8.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | a |
| 99.6% | 1 | b |
| 99.6% | 1 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
Compiled 29 to 19 computations (34.5% saved)
| Inputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 b (PI.f64)) (*.f64 a a))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) a) |
(/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) (*.f64 b b)) |
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal 2 binary64))) b) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b a)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a) |
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (neg.f64 a))))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (*.f64 b a)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) a)) |
| Outputs |
|---|
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
3 calls:
| 29.0ms | a |
| 8.0ms | b |
| 7.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | a |
| 99.6% | 1 | b |
| 99.6% | 1 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
Compiled 29 to 19 computations (34.5% saved)
| Inputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
| Outputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
3 calls:
| 4.0ms | b |
| 4.0ms | a |
| 4.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 2 | a |
| 98.3% | 2 | b |
| 94.5% | 1 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
Compiled 29 to 19 computations (34.5% saved)
| Inputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) (PI.f64)) |
| Outputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))) |
3 calls:
| 18.0ms | a |
| 4.0ms | b |
| 3.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.9% | 4 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 91.0% | 3 | b |
| 94.3% | 2 | a |
Compiled 29 to 19 computations (34.5% saved)
| Inputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) |
| Outputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))) |
1 calls:
| 3.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.3% | 2 | a |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))) |
| Outputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))) |
2 calls:
| 2.0ms | b |
| 1.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.6% | 2 | b |
| 89.2% | 2 | a |
Compiled 6 to 4 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
| Outputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
3 calls:
| 17.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 1.0ms | a |
| 1.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.9% | 1 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 58.9% | 1 | b |
| 58.9% | 1 | a |
Compiled 29 to 19 computations (34.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | -1.9506207086050767e+87 | -6.262336589251192e+86 |
| 7.0ms | 80× | 0 | valid |
Compiled 156 to 115 computations (26.3% saved)
ival-div: 2.0ms (40.2% of total)ival-mult: 2.0ms (40.2% of total)ival-sub: 1.0ms (20.1% of total)ival-pi: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 45.0ms | -1.7806117507175505e-24 | -1.4112813879947135e-31 |
| 40.0ms | 144× | 0 | valid |
Compiled 242 to 182 computations (24.8% saved)
ival-div: 31.0ms (85.3% of total)ival-mult: 3.0ms (8.3% of total)ival-pi: 1.0ms (2.8% of total)ival-sub: 1.0ms (2.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.7806117507175505e-24 | -1.4112813879947135e-31 |
Compiled 242 to 182 computations (24.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.7806117507175505e-24 | -1.4112813879947135e-31 |
Compiled 242 to 182 computations (24.8% saved)
| 1× | egg-herbie |
| 28× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 143 |
| 1 | 54 | 143 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b a)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a)) |
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
(if (<=.f64 a #s(literal -1900000000000000055405306325444513908582105126050946422433796384304159312727278505426944 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a))))) |
(if (<=.f64 a #s(literal -3811162509514511/2722258935367507707706996859454145691648 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))) |
(if (<=.f64 a #s(literal -3811162509514511/2722258935367507707706996859454145691648 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))) |
(if (<=.f64 a #s(literal -3811162509514511/2722258935367507707706996859454145691648 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b a)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a)) |
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) (+.f64 b a)) |
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
(if (<=.f64 a #s(literal -1900000000000000055405306325444513908582105126050946422433796384304159312727278505426944 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a))))) |
(if (<=.f64 a #s(literal -1900000000000000055405306325444513908582105126050946422433796384304159312727278505426944 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a)))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))) |
(if (<=.f64 a #s(literal -3811162509514511/2722258935367507707706996859454145691648 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))) |
(if (<=.f64 a #s(literal -3811162509514511/2722258935367507707706996859454145691648 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a)))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))) |
(if (<=.f64 a #s(literal -3811162509514511/2722258935367507707706996859454145691648 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))) |
(if (<=.f64 a #s(literal -3811162509514511/2722258935367507707706996859454145691648 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))) |
(if (<=.f64 a #s(literal -3811162509514511/2722258935367507707706996859454145691648 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
| 17 492× | lower-fma.f64 |
| 17 492× | lower-fma.f32 |
| 12 618× | lower-fma.f64 |
| 12 618× | lower-fma.f32 |
| 6 778× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 110 |
| 0 | 47 | 110 |
| 1 | 189 | 110 |
| 2 | 1323 | 110 |
| 0 | 8044 | 110 |
| 0 | 15 | 53 |
| 0 | 26 | 49 |
| 1 | 124 | 49 |
| 2 | 1123 | 49 |
| 0 | 9193 | 49 |
| 0 | 291 | 1696 |
| 1 | 768 | 1666 |
| 2 | 2295 | 1612 |
| 3 | 6383 | 1612 |
| 0 | 8341 | 1525 |
| 0 | 25 | 118 |
| 0 | 46 | 118 |
| 1 | 177 | 118 |
| 2 | 1217 | 118 |
| 0 | 9072 | 118 |
| 0 | 529 | 3674 |
| 1 | 1524 | 3592 |
| 2 | 4252 | 3446 |
| 0 | 8267 | 3324 |
| 0 | 32 | 160 |
| 0 | 59 | 160 |
| 1 | 257 | 160 |
| 2 | 2544 | 136 |
| 0 | 8178 | 136 |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 455 to 258 computations (43.3% saved)
(sort a b)
Compiled 388 to 142 computations (63.4% saved)
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