
Time bar (total: 11.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 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)
| 1.1s | 8 256× | 0 | valid |
ival-div: 356.0ms (45.2% of total)ival-mult: 233.0ms (29.6% of total)ival-sub: 148.0ms (18.8% of total)ival-pi: 34.0ms (4.3% of total)exact: 9.0ms (1.1% of total)ival-true: 5.0ms (0.6% of total)ival-assert: 3.0ms (0.4% of total)| 2× | egg-herbie |
| 8 062× | accelerator-lowering-fma.f32 |
| 8 062× | accelerator-lowering-fma.f64 |
| 4 668× | *-lowering-*.f32 |
| 4 668× | *-lowering-*.f64 |
| 2 098× | neg-lowering-neg.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 130 |
| 1 | 134 | 114 |
| 2 | 468 | 114 |
| 3 | 2364 | 114 |
| 4 | 5207 | 114 |
| 5 | 7440 | 114 |
| 0 | 15 | 21 |
| 1 | 35 | 19 |
| 2 | 97 | 19 |
| 3 | 382 | 18 |
| 4 | 1558 | 17 |
| 5 | 4265 | 17 |
| 0 | 8387 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) |
| Outputs |
|---|
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) |
(/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (-.f64 b a))) |
| Inputs |
|---|
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) |
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* (neg a) (neg a))))) (- (/ 1 (neg a)) (/ 1 b))) |
(* (* (/ (PI) 2) (/ 1 (- (* (neg b) (neg b)) (* a a)))) (- (/ 1 a) (/ 1 (neg b)))) |
(neg (* (* (/ (PI) 2) (/ 1 (- (* b b) (* (neg a) (neg a))))) (- (/ 1 (neg a)) (/ 1 b)))) |
(neg (* (* (/ (PI) 2) (/ 1 (- (* (neg b) (neg b)) (* a a)))) (- (/ 1 a) (/ 1 (neg b))))) |
(* (* (/ (PI) 2) (/ 1 (- (* a a) (* b b)))) (- (/ 1 b) (/ 1 a))) |
| Outputs |
|---|
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) |
(/ (* (* (PI) 1/2) (/ (+ (/ 1 a) (/ -1 b)) (+ b a))) (- b a)) |
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* (neg a) (neg a))))) (- (/ 1 (neg a)) (/ 1 b))) |
(* (+ (/ -1 a) (/ -1 b)) (/ (* (PI) 1/2) (- (* b b) (* a a)))) |
(* (* (/ (PI) 2) (/ 1 (- (* (neg b) (neg b)) (* a a)))) (- (/ 1 a) (/ 1 (neg b)))) |
(* (PI) (/ (/ (+ (/ -1 a) (/ -1 b)) (- a b)) (* 2 (+ b a)))) |
(neg (* (* (/ (PI) 2) (/ 1 (- (* b b) (* (neg a) (neg a))))) (- (/ 1 (neg a)) (/ 1 b)))) |
(* (PI) (/ (/ (+ (/ -1 a) (/ -1 b)) (- a b)) (* 2 (+ b a)))) |
(neg (* (* (/ (PI) 2) (/ 1 (- (* (neg b) (neg b)) (* a a)))) (- (/ 1 a) (/ 1 (neg b))))) |
(* (+ (/ -1 a) (/ -1 b)) (/ (* (PI) 1/2) (- (* b b) (* a a)))) |
(* (* (/ (PI) 2) (/ 1 (- (* a a) (* b b)))) (- (/ 1 b) (/ 1 a))) |
(/ (* (* (PI) 1/2) (/ (+ (/ 1 a) (/ -1 b)) (+ b a))) (- b a)) |
(sort a b)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 23 | 2 | (-3.196579244563288e+226 1.517117427135066e-130) | 3 | (-1.5102908935036744e-117 8.859952809195637e+157) | (*.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))) |
| 14 | 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 | 22 | 0 |
-.f64 | (-.f64 (*.f64 b b) (*.f64 a a)) | nan-rescue | 14 | 0 |
| ↳ | (*.f64 b b) | overflow | 53 | |
| ↳ | (*.f64 a a) | overflow | 56 | |
/.f64 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) | n/o | 4 | 0 |
| ↳ | (*.f64 b b) | overflow | 53 | |
| ↳ | (*.f64 a a) | overflow | 56 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 a a)) | overflow | 95 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 37 | 7 |
| - | 3 | 209 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 37 | 0 | 7 |
| - | 3 | 0 | 209 |
| number | freq |
|---|---|
| 0 | 216 |
| 1 | 40 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 59.0ms | 512× | 0 | valid |
Compiled 204 to 64 computations (68.6% saved)
ival-div: 18.0ms (46.5% of total)ival-mult: 13.0ms (33.6% of total)ival-sub: 5.0ms (12.9% of total)ival-pi: 2.0ms (5.2% of total)exact: 1.0ms (2.6% 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 |
|---|---|---|
| ▶ | 83.0% | (*.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))) |
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× | accelerator-lowering-fma.f32 |
| 8 062× | accelerator-lowering-fma.f64 |
| 4 668× | *-lowering-*.f32 |
| 4 668× | *-lowering-*.f64 |
| 2 098× | neg-lowering-neg.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 77 |
| 1 | 35 | 73 |
| 2 | 97 | 73 |
| 3 | 382 | 72 |
| 4 | 1558 | 71 |
| 5 | 4265 | 71 |
| 0 | 8387 | 71 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) |
(* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) |
(/ (PI) 2) |
(PI) |
2 |
(/ 1 (- (* b b) (* a a))) |
1 |
(- (* b b) (* a a)) |
(* b b) |
b |
(* a a) |
a |
(- (/ 1 a) (/ 1 b)) |
(/ 1 a) |
(/ 1 b) |
| Outputs |
|---|
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) |
(/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (-.f64 b a))) |
(* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (-.f64 b a))) |
(/ (PI) 2) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI) |
(PI.f64) |
2 |
#s(literal 2 binary64) |
(/ 1 (- (* b b) (* a a))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) |
1 |
#s(literal 1 binary64) |
(- (* b b) (* a a)) |
(*.f64 (+.f64 b a) (-.f64 b a)) |
(* b b) |
(*.f64 b b) |
b |
(* a a) |
(*.f64 a a) |
a |
(- (/ 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 b) |
(/.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 | 99.1% | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) |
| ✓ | accuracy | 94.9% | (-.f64 (*.f64 b b) (*.f64 a a)) |
| ✓ | accuracy | 92.2% | (*.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))) |
| 30.0ms | 256× | 0 | valid |
Compiled 79 to 17 computations (78.5% saved)
ival-div: 7.0ms (41.7% of total)ival-mult: 6.0ms (35.7% of total)ival-sub: 2.0ms (11.9% of total)ival-pi: 1.0ms (6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (PI) 2)> |
#<alt (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))> |
#<alt (* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))> |
#<alt (- (* b b) (* a a))> |
#<alt (/ 1 (- (* b b) (* 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 | |
|---|---|---|---|---|
| 2.0ms | a | @ | 0 | (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) |
| 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 | b | @ | inf | (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) |
| 1× | batch-egg-rewrite |
| 6 700× | *-lowering-*.f32 |
| 6 700× | *-lowering-*.f64 |
| 4 958× | accelerator-lowering-fma.f32 |
| 4 958× | accelerator-lowering-fma.f64 |
| 2 990× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 49 |
| 1 | 113 | 49 |
| 2 | 1112 | 49 |
| 0 | 9190 | 49 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (PI) 2) |
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) |
(* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) |
(- (* b b) (* a a)) |
(/ 1 (- (* b b) (* 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 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b))) |
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(+.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 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 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 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b))) |
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 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 (*.f64 (PI.f64) #s(literal 1/2 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) (*.f64 (-.f64 b a) (+.f64 b a))) a) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 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 (*.f64 (PI.f64) #s(literal 1/2 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 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(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 (*.f64 (PI.f64) #s(literal 1/2 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 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a)) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a)) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b 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 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b))) |
(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 (*.f64 (PI.f64) #s(literal 1/2 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 (*.f64 (PI.f64) #s(literal 1/2 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 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a)) |
(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 (*.f64 (PI.f64) #s(literal 1/2 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 (*.f64 (PI.f64) #s(literal 1/2 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 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a) #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b))) |
(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 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(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 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(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 a a (*.f64 b b))))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 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 a a (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 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 a a (*.f64 b b)))) (*.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 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 a a (*.f64 b b)))) (*.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 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 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(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 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(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 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(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 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))) |
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(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))))) |
(fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))))) |
(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 a a (*.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 (*.f64 a (*.f64 a (fma.f64 a a (*.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 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 a a (*.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)))) (*.f64 a (*.f64 a (fma.f64 a a (*.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 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 a a (*.f64 b b)))) (*.f64 b b) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) (*.f64 a a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) (*.f64 a a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) (*.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 a a (*.f64 b b))))) (*.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 a a (*.f64 b b)) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) |
(/.f64 (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))))) (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 a a (*.f64 b b))) (*.f64 (fma.f64 a a (*.f64 b b)) (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 a a (*.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 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b))))) |
(*.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 a a (*.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)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))))) #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 a a (*.f64 b b))))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) (fma.f64 a a (*.f64 b b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) (*.f64 (fma.f64 a a (*.f64 b b)) #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× | accelerator-lowering-fma.f32 |
| 12 618× | accelerator-lowering-fma.f64 |
| 5 734× | *-lowering-*.f32 |
| 5 734× | *-lowering-*.f64 |
| 2 064× | +-lowering-+.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) |
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(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2)) |
(/.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 22 369 to 2 043 computations (90.9% saved)
20 alts after pruning (20 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 659 | 20 | 679 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 660 | 20 | 680 |
| Status | Accuracy | Program |
|---|---|---|
| 91.6% | (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 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b))) | |
| 89.2% | (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))) | |
| 91.3% | (/.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (-.f64 b a) (+.f64 b a))) | |
| ▶ | 91.3% | (/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (*.f64 b a)) |
| 83.8% | (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) | |
| 55.1% | (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b)) | |
| ▶ | 47.5% | (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a)) |
| 61.2% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) | |
| ▶ | 54.7% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
| ▶ | 83.8% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (-.f64 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))) |
| 78.1% | (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) b) (/.f64 (-.f64 b a) a)) | |
| 84.2% | (*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) | |
| 91.2% | (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.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))))) | |
| 99.5% | (*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) | |
| 91.2% | (*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) | |
| 91.3% | (*.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) | |
| 92.1% | (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) | |
| 91.2% | (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (/.f64 (-.f64 b a) (*.f64 b a)))) |
Compiled 838 to 504 computations (39.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (-.f64 b a) (+.f64 b a)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (-.f64 b a))))) |
| ✓ | cost-diff | 1024 | (/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (-.f64 b a)))) |
| ✓ | 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))) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (*.f64 b a)) |
| ✓ | cost-diff | 1024 | (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 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 | 0 | (/.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 | (-.f64 b a) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 b a) (*.f64 b a)) |
| ✓ | cost-diff | 704 | (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) |
| ✓ | cost-diff | 1088 | (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) |
| 5 586× | *-lowering-*.f32 |
| 5 586× | *-lowering-*.f64 |
| 4 276× | accelerator-lowering-fma.f32 |
| 4 276× | accelerator-lowering-fma.f64 |
| 3 574× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 269 |
| 1 | 119 | 269 |
| 2 | 484 | 231 |
| 3 | 2705 | 231 |
| 4 | 6584 | 231 |
| 0 | 8070 | 231 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (/ (- b a) (* b a)) (- b a)) (/ (* (PI) 1/2) (+ b a))) |
(/ (/ (- b a) (* b a)) (- b a)) |
(/ (- b a) (* b a)) |
(- b a) |
b |
a |
(* b a) |
(/ (* (PI) 1/2) (+ b a)) |
(* (PI) 1/2) |
(PI) |
1/2 |
(+ b a) |
(/ (* 1/2 (PI)) (* a (* a b))) |
(* 1/2 (PI)) |
1/2 |
(PI) |
(* a (* a b)) |
a |
(* a b) |
b |
(/ (* (PI) (+ (/ -1/2 a) (/ 1/2 b))) (* a a)) |
(* (PI) (+ (/ -1/2 a) (/ 1/2 b))) |
(PI) |
(+ (/ -1/2 a) (/ 1/2 b)) |
(/ -1/2 a) |
-1/2 |
a |
(/ 1/2 b) |
1/2 |
b |
(* a a) |
(/ (* (/ (* (PI) 1/2) (* (- b a) (+ b a))) (- b a)) (* b a)) |
(* (/ (* (PI) 1/2) (* (- b a) (+ b a))) (- b a)) |
(/ (* (PI) 1/2) (* (- b a) (+ b a))) |
(* (PI) 1/2) |
(PI) |
1/2 |
(* (- b a) (+ b a)) |
(- b a) |
b |
a |
(+ b a) |
(* b a) |
(/ 1 (/ (* (* (- b a) (+ b a)) (* b a)) (* (PI) (* 1/2 (- b a))))) |
1 |
(/ (* (* (- b a) (+ b a)) (* b a)) (* (PI) (* 1/2 (- b a)))) |
(* (* (- b a) (+ b a)) (* b a)) |
(* (- b a) (+ b a)) |
(- b a) |
b |
a |
(+ b a) |
(* b a) |
(* (PI) (* 1/2 (- b a))) |
(PI) |
(* 1/2 (- b a)) |
1/2 |
| Outputs |
|---|
(* (/ (/ (- b a) (* b a)) (- b a)) (/ (* (PI) 1/2) (+ b a))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a))))) |
(/ (/ (- b a) (* b a)) (- b a)) |
(/.f64 #s(literal 1 binary64) (*.f64 b a)) |
(/ (- b a) (* b a)) |
(/.f64 (-.f64 b a) (*.f64 b a)) |
(- b a) |
(-.f64 b a) |
b |
a |
(* b a) |
(*.f64 b a) |
(/ (* (PI) 1/2) (+ b a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (+.f64 b a))) |
(* (PI) 1/2) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI) |
(PI.f64) |
1/2 |
#s(literal 1/2 binary64) |
(+ b a) |
(+.f64 b a) |
(/ (* 1/2 (PI)) (* a (* a b))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a (*.f64 b a)))) |
(* 1/2 (PI)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(PI) |
(PI.f64) |
(* a (* a b)) |
(*.f64 a (*.f64 b a)) |
a |
(* a b) |
(*.f64 b a) |
b |
(/ (* (PI) (+ (/ -1/2 a) (/ 1/2 b))) (* a a)) |
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (/.f64 (PI.f64) (*.f64 a a))) |
(* (PI) (+ (/ -1/2 a) (/ 1/2 b))) |
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) |
(PI) |
(PI.f64) |
(+ (/ -1/2 a) (/ 1/2 b)) |
(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) |
(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
-1/2 |
#s(literal -1/2 binary64) |
a |
(/ 1/2 b) |
(/.f64 #s(literal 1/2 binary64) b) |
1/2 |
#s(literal 1/2 binary64) |
b |
(* a a) |
(*.f64 a a) |
(/ (* (/ (* (PI) 1/2) (* (- b a) (+ b a))) (- b a)) (* b a)) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a))))) |
(* (/ (* (PI) 1/2) (* (- b a) (+ b a))) (- b a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (+.f64 b a))) |
(/ (* (PI) 1/2) (* (- b a) (+ b a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) |
(* (PI) 1/2) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI) |
(PI.f64) |
1/2 |
#s(literal 1/2 binary64) |
(* (- b a) (+ b a)) |
(*.f64 (-.f64 b a) (+.f64 b a)) |
(- b a) |
(-.f64 b a) |
b |
a |
(+ b a) |
(+.f64 b a) |
(* b a) |
(*.f64 b a) |
(/ 1 (/ (* (* (- b a) (+ b a)) (* b a)) (* (PI) (* 1/2 (- b a))))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a))))) |
1 |
#s(literal 1 binary64) |
(/ (* (* (- b a) (+ b a)) (* b a)) (* (PI) (* 1/2 (- b a)))) |
(/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(* (* (- b a) (+ b a)) (* b a)) |
(*.f64 (-.f64 b a) (*.f64 b (*.f64 a (+.f64 b a)))) |
(* (- b a) (+ b a)) |
(*.f64 (-.f64 b a) (+.f64 b a)) |
(- b a) |
(-.f64 b a) |
b |
a |
(+ b a) |
(+.f64 b a) |
(* b a) |
(*.f64 b a) |
(* (PI) (* 1/2 (- b a))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (PI.f64))) |
(PI) |
(PI.f64) |
(* 1/2 (- b a)) |
(*.f64 (-.f64 b a) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (-.f64 b a))))) |
| ✓ | accuracy | 98.0% | (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) |
| ✓ | accuracy | 86.2% | (/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (-.f64 b a)))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (*.f64 b a)) |
| ✓ | accuracy | 99.1% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) |
| ✓ | accuracy | 59.6% | (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) |
| ✓ | accuracy | 99.5% | (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) |
| ✓ | accuracy | 97.3% | (/.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 | 99.5% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) |
| ✓ | accuracy | 99.6% | (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) |
| ✓ | accuracy | 79.1% | (/.f64 (-.f64 b a) (*.f64 b a)) |
| 108.0ms | 256× | 0 | valid |
Compiled 281 to 35 computations (87.5% saved)
ival-div: 41.0ms (50.4% of total)ival-mult: 35.0ms (43% of total)ival-sub: 2.0ms (2.5% of total)ival-add: 2.0ms (2.5% of total)ival-pi: 1.0ms (1.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ (- b a) (* b a)) (- b a))> |
#<alt (* (/ (/ (- b a) (* b a)) (- b a)) (/ (* (PI) 1/2) (+ b a)))> |
#<alt (/ (- b a) (* b a))> |
#<alt (- b a)> |
#<alt (/ (* 1/2 (PI)) (* a (* a b)))> |
#<alt (* 1/2 (PI))> |
#<alt (PI)> |
#<alt (* a (* a b))> |
#<alt (/ (* (PI) (+ (/ -1/2 a) (/ 1/2 b))) (* a a))> |
#<alt (* (PI) (+ (/ -1/2 a) (/ 1/2 b)))> |
#<alt (+ (/ -1/2 a) (/ 1/2 b))> |
#<alt (* (/ (* (PI) 1/2) (* (- b a) (+ b a))) (- b a))> |
#<alt (/ (* (/ (* (PI) 1/2) (* (- b a) (+ b a))) (- b a)) (* b a))> |
#<alt (/ (* (PI) 1/2) (* (- b a) (+ b a)))> |
#<alt (* (PI) 1/2)> |
#<alt (/ (* (* (- b a) (+ b a)) (* b a)) (* (PI) (* 1/2 (- b a))))> |
#<alt (/ 1 (/ (* (* (- b a) (+ b a)) (* b a)) (* (PI) (* 1/2 (- b a)))))> |
#<alt (* (* (- b a) (+ b a)) (* b a))> |
#<alt (* (- b a) (+ b a))> |
#<alt (/ (* (PI) 1/2) (+ b a))> |
#<alt (* (PI) (* 1/2 (- b a)))> |
| Outputs |
|---|
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* 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 (/ -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 (/ (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 (/ (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 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 (/ (* 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 (* 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 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))> |
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))))> |
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))> |
#<alt (* 1/2 (/ (PI) (pow b 2)))> |
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (PI))))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (pow b 2)))> |
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (pow b 2)))> |
#<alt (+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2))))> |
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))> |
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))))))))> |
#<alt (* -1/2 (/ (PI) (pow a 2)))> |
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2))> |
#<alt (* -1/2 (/ (PI) (pow a 2)))> |
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a))) a)) (* -1/2 (PI))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* 1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a))) a)) (* -1/2 (* (PI) (+ b (* -1 b))))) a)) (* -1/2 (PI))) (pow a 2))> |
#<alt (* 2 (/ (* (pow a 2) b) (PI)))> |
#<alt (* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))> |
#<alt (* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))> |
#<alt (* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))> |
#<alt (* 2 (/ (* a (pow b 2)) (PI)))> |
#<alt (* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))> |
#<alt (* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))> |
#<alt (* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))> |
#<alt (* 2 (/ (* a (pow b 2)) (PI)))> |
#<alt (* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))> |
#<alt (* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))> |
#<alt (* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))> |
#<alt (* 2 (/ (* a (pow b 2)) (PI)))> |
#<alt (* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))> |
#<alt (* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))> |
#<alt (* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))> |
#<alt (* 2 (/ (* (pow a 2) b) (PI)))> |
#<alt (* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))> |
#<alt (* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))> |
#<alt (* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))> |
#<alt (* 2 (/ (* (pow a 2) b) (PI)))> |
#<alt (* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))> |
#<alt (* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))> |
#<alt (* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))> |
#<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 (* (pow a 3) b))> |
#<alt (* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))> |
#<alt (* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))> |
#<alt (* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))> |
#<alt (* a (pow b 3))> |
#<alt (* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b)))> |
#<alt (* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))> |
#<alt (* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))> |
#<alt (* a (pow b 3))> |
#<alt (* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))> |
#<alt (* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))> |
#<alt (* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))> |
#<alt (* a (pow b 3))> |
#<alt (* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))> |
#<alt (* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))> |
#<alt (* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))> |
#<alt (* -1 (* (pow a 3) b))> |
#<alt (* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))> |
#<alt (* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))> |
#<alt (* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))> |
#<alt (* -1 (* (pow a 3) b))> |
#<alt (* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))> |
#<alt (* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))> |
#<alt (* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))> |
#<alt (* -1 (pow a 2))> |
#<alt (+ (* -1 (pow a 2)) (* b (+ a (* -1 a))))> |
#<alt (+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))> |
#<alt (+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b))))> |
#<alt (* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))> |
#<alt (* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b))))> |
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))> |
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))> |
#<alt (pow b 2)> |
#<alt (+ (* a (+ b (* -1 b))) (pow b 2))> |
#<alt (+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))> |
#<alt (+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))> |
#<alt (* -1 (pow a 2))> |
#<alt (* (pow a 2) (- (+ (* -1 (/ b a)) (/ b a)) 1))> |
#<alt (* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))> |
#<alt (* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))> |
#<alt (* -1 (pow a 2))> |
#<alt (* (pow a 2) (- (* -1 (/ (+ b (* -1 b)) a)) 1))> |
#<alt (* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))> |
#<alt (* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))> |
#<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 (* -1/2 (* a (PI)))> |
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))> |
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))> |
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))> |
#<alt (* 1/2 (* b (PI)))> |
#<alt (* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))> |
#<alt (* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))> |
#<alt (* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))> |
#<alt (* 1/2 (* b (PI)))> |
#<alt (* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))> |
#<alt (* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))> |
#<alt (* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))> |
#<alt (* 1/2 (* b (PI)))> |
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))> |
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))> |
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))> |
#<alt (* -1/2 (* a (PI)))> |
#<alt (* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))> |
#<alt (* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))> |
#<alt (* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))> |
#<alt (* -1/2 (* a (PI)))> |
#<alt (* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))> |
#<alt (* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))> |
#<alt (* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))> |
108 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | a | @ | inf | (* (* (- b a) (+ b a)) (* b a)) |
| 5.0ms | b | @ | -inf | (/ (* 1/2 (PI)) (* a (* a b))) |
| 3.0ms | b | @ | 0 | (/ (* 1/2 (PI)) (* a (* a b))) |
| 1.0ms | b | @ | 0 | (/ (/ (- b a) (* b a)) (- b a)) |
| 1.0ms | b | @ | inf | (* (/ (* (PI) 1/2) (* (- b a) (+ b a))) (- b a)) |
| 1× | batch-egg-rewrite |
| 5 428× | /-lowering-/.f32 |
| 5 428× | /-lowering-/.f64 |
| 5 080× | *-lowering-*.f32 |
| 5 080× | *-lowering-*.f64 |
| 1 802× | accelerator-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 213 |
| 1 | 245 | 165 |
| 2 | 2550 | 165 |
| 0 | 8397 | 165 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (- b a) (* b a)) (- b a)) |
(* (/ (/ (- b a) (* b a)) (- b a)) (/ (* (PI) 1/2) (+ b a))) |
(/ (- b a) (* b a)) |
(- b a) |
(/ (* 1/2 (PI)) (* a (* a b))) |
(* 1/2 (PI)) |
(PI) |
(* a (* a b)) |
(/ (* (PI) (+ (/ -1/2 a) (/ 1/2 b))) (* a a)) |
(* (PI) (+ (/ -1/2 a) (/ 1/2 b))) |
(+ (/ -1/2 a) (/ 1/2 b)) |
(* (/ (* (PI) 1/2) (* (- b a) (+ b a))) (- b a)) |
(/ (* (/ (* (PI) 1/2) (* (- b a) (+ b a))) (- b a)) (* b a)) |
(/ (* (PI) 1/2) (* (- b a) (+ b a))) |
(* (PI) 1/2) |
(/ (* (* (- b a) (+ b a)) (* b a)) (* (PI) (* 1/2 (- b a)))) |
(/ 1 (/ (* (* (- b a) (+ b a)) (* b a)) (* (PI) (* 1/2 (- b a))))) |
(* (* (- b a) (+ b a)) (* b a)) |
(* (- b a) (+ b a)) |
(/ (* (PI) 1/2) (+ b a)) |
(* (PI) (* 1/2 (- b a))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 b a) (*.f64 b (/.f64 a (-.f64 b a))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 b (*.f64 (-.f64 b a) (*.f64 b a))) (/.f64 a (*.f64 (-.f64 b a) (*.f64 b a)))) |
(-.f64 (/.f64 (/.f64 b (*.f64 b a)) (-.f64 b a)) (/.f64 (/.f64 a (*.f64 b a)) (-.f64 b a))) |
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 a (+.f64 b a) (*.f64 b b))) (*.f64 (-.f64 b a) (*.f64 b a))) (/.f64 (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 a (+.f64 b a) (*.f64 b b))) (*.f64 (-.f64 b a) (*.f64 b a)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b a)) (*.f64 (-.f64 b a) (*.f64 b a))) (/.f64 (/.f64 (*.f64 a a) (+.f64 b a)) (*.f64 (-.f64 b a) (*.f64 b a)))) |
(-.f64 (/.f64 (/.f64 b (*.f64 b a)) (neg.f64 (neg.f64 (-.f64 b a)))) (/.f64 (/.f64 a (*.f64 b a)) (neg.f64 (neg.f64 (-.f64 b a))))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a)))) (/.f64 (*.f64 a a) (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (-.f64 b a) (*.f64 b a)))) (/.f64 (-.f64 b a) (neg.f64 (*.f64 (-.f64 b a) (*.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 b a) (*.f64 b (neg.f64 a)))) (/.f64 (-.f64 b a) (*.f64 (-.f64 b a) (*.f64 b (neg.f64 a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 b a))) (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (neg.f64 (-.f64 b a)))) |
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (-.f64 b a) (*.f64 b a)) (fma.f64 a (+.f64 b a) (*.f64 b b)))) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 (-.f64 b a) (*.f64 b a)) (fma.f64 a (+.f64 b a) (*.f64 b b))))) |
(-.f64 (/.f64 (/.f64 b b) (*.f64 a (-.f64 b a))) (/.f64 (/.f64 a b) (*.f64 a (-.f64 b a)))) |
(neg.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (neg.f64 (-.f64 b a)))) |
(/.f64 (-.f64 b a) (*.f64 (-.f64 b a) (*.f64 b a))) |
(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) |
(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (neg.f64 (neg.f64 (-.f64 b a)))) |
(/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (*.f64 b (/.f64 a (-.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (/.f64 a (-.f64 b a))) (-.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b a) (*.f64 b (/.f64 a (-.f64 b a)))) #s(literal 1 binary64))) |
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(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
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(/.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) (*.f64 b (neg.f64 a))) |
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(pow.f64 (/.f64 (*.f64 b (*.f64 a a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 b (*.f64 a a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 b a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) #s(literal -1 binary64)) |
(*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a a))))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
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(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (neg.f64 a))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)) |
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) |
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
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(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
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(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 (PI.f64) a)) |
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(*.f64 (pow.f64 (/.f64 (*.f64 a a) (PI.f64)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) b)) |
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(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
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(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 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))) |
(PI.f64) |
(log.f64 (exp.f64 (PI.f64))) |
(exp.f64 (log.f64 (PI.f64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64))) |
(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)) |
(sqrt.f64 (*.f64 (PI.f64) (PI.f64))) |
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
(pow.f64 (PI.f64) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(pow.f64 (E.f64) (log.f64 (PI.f64))) |
(*.f64 (PI.f64) #s(literal 1 binary64)) |
(*.f64 (PI.f64) (log.f64 (E.f64))) |
(*.f64 #s(literal 1 binary64) (PI.f64)) |
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) |
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)))) |
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(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
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(*.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
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(*.f64 (pow.f64 (/.f64 a (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) #s(literal -1 binary64)) (/.f64 (-.f64 b a) b)) |
(*.f64 (pow.f64 (/.f64 (-.f64 b a) (*.f64 (-.f64 b a) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 b a) (+.f64 b a)) (PI.f64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) b)) (PI.f64)) #s(literal -1 binary64)) (pow.f64 (/.f64 a (*.f64 (-.f64 b a) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) b)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 b a) a)) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) b)) (*.f64 (-.f64 b a) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (PI.f64) a)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (-.f64 b a) (+.f64 b a))))) |
(neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.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)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (-.f64 b a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))))) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (-.f64 b a) (+.f64 b a)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) (neg.f64 (-.f64 b a))) |
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (+.f64 b a)) |
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 (*.f64 (-.f64 b a) (+.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))) (neg.f64 (+.f64 b a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (+.f64 b a)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 b a) (+.f64 b a)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 b a) (+.f64 b a)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))))) (neg.f64 (neg.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64))) (neg.f64 (+.f64 b a))) |
(pow.f64 (/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))) #s(literal -1 binary64)) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a)))) |
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(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) (-.f64 b a))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
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(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (+.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (PI.f64)) |
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) |
(*.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 a (-.f64 a b) (*.f64 b b))) |
(*.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) |
(*.f64 (pow.f64 (/.f64 (+.f64 b a) (PI.f64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 b a) (PI.f64)) #s(literal -1 binary64))) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(*.f64 #s(literal 1 binary64) (*.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 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 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))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 b a))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 b a))) (neg.f64 (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)))) (/.f64 (*.f64 b a) (neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 b a)))) (/.f64 (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 b a))))) |
(neg.f64 (neg.f64 (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 b a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 b a)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) b)) (/.f64 a (PI.f64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 b a))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 b a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 b a)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) b)) (/.f64 a (PI.f64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) |
(/.f64 (*.f64 b (neg.f64 a)) (neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)))) |
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b (neg.f64 a))) (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 b a))) |
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b (neg.f64 a))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 b a)))) |
(/.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 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) b)) (/.f64 a (PI.f64))) (*.f64 (-.f64 b a) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) b)) (/.f64 a (PI.f64))) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 b (neg.f64 a))) (neg.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 b (/.f64 a (-.f64 b a)))) (neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b (neg.f64 a)))) (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b (neg.f64 a)))) (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) b)) (/.f64 a (PI.f64)))) (neg.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) b)) (/.f64 a (PI.f64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a))) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (PI.f64)) (*.f64 b a)) (*.f64 (-.f64 b a) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (/.f64 (*.f64 b a) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))) (PI.f64)) |
(/.f64 (/.f64 (*.f64 b a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (-.f64 b a)) |
(/.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 b a)) |
(/.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a))) (*.f64 (-.f64 b a) #s(literal 1/2 binary64))) (PI.f64)) |
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) b)) (/.f64 a (PI.f64))) (-.f64 b a)) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) b)) (/.f64 a (PI.f64))) #s(literal 1/2 binary64)) (-.f64 b a)) |
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(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) b)) (/.f64 a (PI.f64))))) (neg.f64 (neg.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a))) #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (PI.f64)) (*.f64 b a))) (neg.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (/.f64 (*.f64 b a) (*.f64 (-.f64 b a) #s(literal 1/2 binary64))))) (neg.f64 (PI.f64))) |
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(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) b)) (/.f64 a (PI.f64))) #s(literal 1/2 binary64))) (neg.f64 (-.f64 b a))) |
(pow.f64 (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 b a)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) b)) (/.f64 a (PI.f64)))) #s(literal -1 binary64)) |
(*.f64 b (/.f64 a (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)))) |
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(*.f64 (-.f64 b a) (*.f64 (+.f64 b a) (/.f64 (*.f64 b a) (*.f64 (PI.f64) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))))) |
(*.f64 (-.f64 b a) (*.f64 (*.f64 (*.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))))) |
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(*.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) b)) (*.f64 a (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) b)) (/.f64 a (*.f64 (PI.f64) (*.f64 (-.f64 b a) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) b)) (/.f64 a (PI.f64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))) |
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(*.f64 (/.f64 (-.f64 b a) (*.f64 (-.f64 b a) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 b a) (+.f64 b a)) (PI.f64))) |
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(*.f64 (/.f64 (*.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a)) |
(*.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) b)) (PI.f64)) (/.f64 a (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) b)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 a (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) b)) (*.f64 (-.f64 b a) #s(literal 1/2 binary64))) (/.f64 a (PI.f64))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (-.f64 b a) (*.f64 (-.f64 b a) (*.f64 b a)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (-.f64 b a) (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 (-.f64 b a) (*.f64 b a))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (-.f64 b a) (*.f64 (-.f64 b a) (*.f64 b a)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) b)) (/.f64 a (PI.f64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (-.f64 b a) #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (-.f64 b a) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (/.f64 (-.f64 b a) b)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (neg.f64 a))) #s(literal -1 binary64))) |
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(*.f64 (pow.f64 (/.f64 (-.f64 b a) a) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) b))) #s(literal -1 binary64))) |
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(*.f64 (pow.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a))) #s(literal -1 binary64))) |
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(*.f64 (pow.f64 (/.f64 (-.f64 b a) b) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a) #s(literal -1 binary64))) |
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(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
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(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
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(-.f64 (/.f64 (/.f64 b (*.f64 (-.f64 b a) (*.f64 b a))) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (/.f64 a (*.f64 (-.f64 b a) (*.f64 b a))) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (/.f64 (/.f64 b (*.f64 b a)) (-.f64 b a)) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (/.f64 (/.f64 a (*.f64 b a)) (-.f64 b a)) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b (neg.f64 a))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 b (neg.f64 a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b (neg.f64 a)))) (/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 b a) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b (neg.f64 a))))) |
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(/.f64 (neg.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (neg.f64 (+.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (-.f64 b a)))) (neg.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a (+.f64 b a) (*.f64 b b))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (-.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (-.f64 b a)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (neg.f64 (*.f64 (-.f64 b a) (+.f64 b a)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (-.f64 b a)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))))) (neg.f64 (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (+.f64 b a) (neg.f64 (*.f64 (-.f64 b a) (+.f64 b a)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))))) (neg.f64 (*.f64 (+.f64 b a) (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (-.f64 b a)))) (neg.f64 (*.f64 (/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 a (+.f64 b a) (*.f64 b b))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 (*.f64 (/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (-.f64 b a)))) (neg.f64 (*.f64 (neg.f64 (*.f64 (-.f64 b a) (+.f64 b a))) (fma.f64 a (+.f64 b a) (*.f64 b b))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 (*.f64 (neg.f64 (*.f64 (-.f64 b a) (+.f64 b a))) (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (-.f64 b a)))) (neg.f64 (*.f64 (+.f64 b a) (fma.f64 a (+.f64 b a) (*.f64 b b))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 (*.f64 (+.f64 b a) (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))))) (neg.f64 (+.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (-.f64 b a)))) (neg.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 (+.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))) (neg.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))) (neg.f64 (+.f64 b a))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 b a) #s(literal 1/2 binary64))) (+.f64 b a))) (neg.f64 (-.f64 b a))) |
(pow.f64 (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (-.f64 b a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(*.f64 (PI.f64) (/.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (+.f64 b a))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b a))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (/.f64 (-.f64 b a) (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) |
(*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(*.f64 (*.f64 (PI.f64) (*.f64 (-.f64 b a) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) |
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (*.f64 (-.f64 b a) #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 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (/.f64 (-.f64 b a) (+.f64 b a))) |
(*.f64 (/.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (+.f64 b a)) (/.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (-.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) |
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(*.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 a (-.f64 a b) (*.f64 b b))) |
(+.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 a))) |
(+.f64 (*.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (neg.f64 a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 a))) |
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (-.f64 b a))) (fma.f64 a (+.f64 b a) (*.f64 b b))) |
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (+.f64 b a)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (-.f64 b a)))) (neg.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 (+.f64 b a))) |
(*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(*.f64 (PI.f64) (*.f64 (-.f64 b a) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (PI.f64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) |
(*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (PI.f64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (PI.f64)) |
(*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
| 1× | egg-herbie |
| 6 142× | accelerator-lowering-fma.f32 |
| 6 142× | accelerator-lowering-fma.f64 |
| 4 004× | *-lowering-*.f32 |
| 4 004× | *-lowering-*.f64 |
| 1 666× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 573 | 5773 |
| 1 | 1770 | 5352 |
| 2 | 6497 | 5218 |
| 0 | 8512 | 4970 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* 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)) |
(/ -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 (/ (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 (/ (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 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 (/ (* 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)) |
(* 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 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4)))) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))))))) |
(* 1/2 (/ (PI) (pow b 2))) |
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2)) |
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 2)) |
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (PI))))) (pow b 2)) |
(* 1/2 (/ (PI) (pow b 2))) |
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2)) |
(* 1/2 (/ (PI) (pow b 2))) |
(+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2)))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))))))) |
(* -1/2 (/ (PI) (pow a 2))) |
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2)) |
(* -1/2 (/ (PI) (pow a 2))) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a))) a)) (* -1/2 (PI))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* 1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a))) a)) (* -1/2 (* (PI) (+ b (* -1 b))))) a)) (* -1/2 (PI))) (pow a 2)) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI))))) |
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI))))) |
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI))))) |
(* 2 (/ (* a (pow b 2)) (PI))) |
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI)))))) |
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI)))))) |
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI)))))) |
(* 2 (/ (* a (pow b 2)) (PI))) |
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI)))))) |
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI)))))) |
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI)))))) |
(* 2 (/ (* a (pow b 2)) (PI))) |
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI))))) |
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI))))) |
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI))))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI)))))) |
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI)))))) |
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI)))))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI)))))) |
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI)))))) |
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI)))))) |
(* 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 (* (pow a 3) b)) |
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a)))))) |
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a))))))) |
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a))))))) |
(* a (pow b 3)) |
(* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b))) |
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b)))) |
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b)))) |
(* a (pow b 3)) |
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b))))) |
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b))))) |
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b))))) |
(* a (pow b 3)) |
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3))) |
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3))) |
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3))) |
(* -1 (* (pow a 3) b)) |
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a))) |
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2))))) |
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2))))) |
(* -1 (* (pow a 3) b)) |
(* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a)))) |
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a))))) |
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a))))) |
(* -1 (pow a 2)) |
(+ (* -1 (pow a 2)) (* b (+ a (* -1 a)))) |
(+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a))))) |
(+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b)))) |
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))))) |
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b)))) |
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b)))) |
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b)))) |
(pow b 2) |
(+ (* a (+ b (* -1 b))) (pow b 2)) |
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2)) |
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2)) |
(* -1 (pow a 2)) |
(* (pow a 2) (- (+ (* -1 (/ b a)) (/ b a)) 1)) |
(* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1)) |
(* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1)) |
(* -1 (pow a 2)) |
(* (pow a 2) (- (* -1 (/ (+ b (* -1 b)) a)) 1)) |
(* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1)) |
(* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1)) |
(* 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)) |
(* -1/2 (* a (PI))) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(* 1/2 (* b (PI))) |
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(* 1/2 (* b (PI))) |
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))))) |
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))))) |
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))))) |
(* 1/2 (* b (PI))) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(* -1/2 (* a (PI))) |
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))) |
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))) |
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))) |
(* -1/2 (* a (PI))) |
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
| Outputs |
|---|
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 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 b (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.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 (fma.f64 (*.f64 b (PI.f64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 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) (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 (*.f64 b (PI.f64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (pow.f64 a #s(literal 4 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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b)) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 a (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) a)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b)) (*.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 (PI.f64) b) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) (*.f64 b (*.f64 b 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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b)) (*.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 (-.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 a (*.f64 #s(literal 1/2 binary64) (PI.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 #s(literal 1/2 binary64) (/.f64 (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 #s(literal 1/2 binary64) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (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 (PI.f64) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (*.f64 (PI.f64) (/.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 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 b (*.f64 a a)) (/.f64 (PI.f64) b)) (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a))) (*.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 (*.f64 b (*.f64 b (PI.f64))) (*.f64 a (*.f64 a 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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (*.f64 (PI.f64) (/.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 (*.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 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (fma.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) a)) a)) a)) (*.f64 a 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) b) (/.f64 #s(literal 1 binary64) a)) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/ 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) b) (/.f64 #s(literal 1 binary64) a)) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/ -1 b) |
(/.f64 #s(literal -1 binary64) b) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(* -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))) |
(neg.f64 (fma.f64 b (/.f64 a b) (neg.f64 b))) |
(* -1 (* b (- (/ a b) 1))) |
(neg.f64 (fma.f64 b (/.f64 a b) (neg.f64 b))) |
(* -1 (* b (- (/ a b) 1))) |
(neg.f64 (fma.f64 b (/.f64 a b) (neg.f64 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)) |
(fma.f64 a (/.f64 b a) (neg.f64 a)) |
(* a (- (/ b a) 1)) |
(fma.f64 a (/.f64 b a) (neg.f64 a)) |
(* a (- (/ b a) 1)) |
(fma.f64 a (/.f64 b a) (neg.f64 a)) |
(* -1 a) |
(neg.f64 a) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(fma.f64 a (/.f64 b a) (neg.f64 a)) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(fma.f64 a (/.f64 b a) (neg.f64 a)) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(fma.f64 a (/.f64 b a) (neg.f64 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) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.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 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.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 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.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 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.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 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.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 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.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 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.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 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.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 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.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 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.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 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.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 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
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(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) |
(neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 (PI.f64) #s(literal -1/2 binary64))) 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 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) 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 a (*.f64 (PI.f64) #s(literal -1/2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 (PI.f64) (*.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))) |
(fma.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))))) |
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (PI.f64)) (*.f64 b (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) |
(+ (* 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 a (fma.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) |
(* 1/2 (/ (PI) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a) |
(/.f64 (fma.f64 b (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 b b) (PI.f64)) (*.f64 b (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a)))) 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) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 b (/.f64 (PI.f64) a) (/.f64 (*.f64 b (*.f64 b (*.f64 b (PI.f64)))) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 b b) (PI.f64)))) a) |
(* 1/2 (/ (PI) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a)) |
(/.f64 (fma.f64 b (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal -1/2 binary64) (neg.f64 (PI.f64)))) a) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a)) |
(/.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 b (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b (/.f64 (PI.f64) a))))) a)) (neg.f64 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)) |
(/.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (-.f64 (*.f64 b (*.f64 (PI.f64) #s(literal -1/2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b (*.f64 b (/.f64 (PI.f64) a)))) (*.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) a)) a)) (neg.f64 a)) |
(* -1/2 (* a (PI))) |
(*.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(*.f64 (PI.f64) (fma.f64 b #s(literal 1/2 binary64) (*.f64 a #s(literal -1/2 binary64)))) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(*.f64 (PI.f64) (fma.f64 b #s(literal 1/2 binary64) (*.f64 a #s(literal -1/2 binary64)))) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(*.f64 (PI.f64) (fma.f64 b #s(literal 1/2 binary64) (*.f64 a #s(literal -1/2 binary64)))) |
(* 1/2 (* b (PI))) |
(*.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(*.f64 b (fma.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(*.f64 b (fma.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(*.f64 b (fma.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(* 1/2 (* b (PI))) |
(*.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))))) |
(*.f64 b (fma.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))))) |
(*.f64 b (fma.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))))) |
(*.f64 b (fma.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(* 1/2 (* b (PI))) |
(*.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(*.f64 (PI.f64) (fma.f64 b #s(literal 1/2 binary64) (*.f64 a #s(literal -1/2 binary64)))) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(*.f64 (PI.f64) (fma.f64 b #s(literal 1/2 binary64) (*.f64 a #s(literal -1/2 binary64)))) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(*.f64 (PI.f64) (fma.f64 b #s(literal 1/2 binary64) (*.f64 a #s(literal -1/2 binary64)))) |
(* -1/2 (* a (PI))) |
(*.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))) |
(*.f64 a (fma.f64 b (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))) |
(*.f64 a (fma.f64 b (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))) |
(*.f64 a (fma.f64 b (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(* -1/2 (* a (PI))) |
(*.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(*.f64 a (fma.f64 b (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(*.f64 a (fma.f64 b (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(*.f64 a (fma.f64 b (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
Compiled 64 898 to 5 555 computations (91.4% saved)
21 alts after pruning (20 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 703 | 19 | 2 722 |
| Fresh | 14 | 1 | 15 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 721 | 21 | 2 742 |
| Status | Accuracy | Program |
|---|---|---|
| 94.4% | (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) b) a) | |
| 97.4% | (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) a) b) | |
| ▶ | 55.0% | (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a) |
| 99.6% | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 b a)) | |
| 55.0% | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a) | |
| 67.0% | (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a)) | |
| ▶ | 99.6% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) (*.f64 b a)) |
| 52.5% | (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 a a)) | |
| 52.2% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) | |
| 61.2% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) | |
| ✓ | 54.7% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
| 52.2% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 a a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) | |
| 61.2% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 b b))) (PI.f64))) | |
| 99.0% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a))) | |
| 99.0% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) | |
| 96.4% | (/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 a (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))))) | |
| ▶ | 99.7% | (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
| ▶ | 52.5% | (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
| 52.5% | (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (PI.f64) b)) | |
| 98.9% | (*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 (-.f64 b a) (*.f64 b a))) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) | |
| ▶ | 52.1% | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
Compiled 527 to 376 computations (28.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a) |
| ✓ | cost-diff | 0 | (+.f64 b a) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) (*.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) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) |
| ✓ | cost-diff | 704 | (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
| 686× | *-lowering-*.f32 |
| 686× | *-lowering-*.f64 |
| 346× | times-frac |
| 258× | associate-*r/ |
| 240× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 154 |
| 1 | 63 | 150 |
| 2 | 165 | 150 |
| 3 | 370 | 150 |
| 4 | 777 | 150 |
| 5 | 935 | 150 |
| 6 | 978 | 150 |
| 7 | 979 | 150 |
| 8 | 979 | 150 |
| 0 | 979 | 150 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (/ (* (PI) 1/2) (+ b a)) (/ 1 (* b a))) |
(/ (* (PI) 1/2) (+ b a)) |
(* (PI) 1/2) |
(PI) |
1/2 |
(+ b a) |
b |
a |
(/ 1 (* b a)) |
1 |
(* b a) |
(* (PI) (/ 1/2 (* b (* a a)))) |
(PI) |
(/ 1/2 (* b (* a a))) |
1/2 |
(* b (* a a)) |
b |
(* a a) |
a |
(* (/ (PI) (* a a)) (/ 1/2 b)) |
(/ (PI) (* a a)) |
(PI) |
(* a a) |
a |
(/ 1/2 b) |
1/2 |
b |
(/ (* (/ 1/2 (+ b a)) (PI)) (* b a)) |
(* (/ 1/2 (+ b a)) (PI)) |
(/ 1/2 (+ b a)) |
1/2 |
(+ b a) |
b |
a |
(PI) |
(* b a) |
(/ (/ (/ (* (PI) 1/2) a) b) a) |
(/ (/ (* (PI) 1/2) a) b) |
(/ (* (PI) 1/2) a) |
(* (PI) 1/2) |
(PI) |
1/2 |
a |
b |
| Outputs |
|---|
(* (/ (* (PI) 1/2) (+ b a)) (/ 1 (* b a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a)))) |
(/ (* (PI) 1/2) (+ b a)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) |
(* (PI) 1/2) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI) |
(PI.f64) |
1/2 |
#s(literal 1/2 binary64) |
(+ b a) |
(+.f64 b a) |
b |
a |
(/ 1 (* b a)) |
(/.f64 #s(literal 1 binary64) (*.f64 b a)) |
1 |
#s(literal 1 binary64) |
(* b a) |
(*.f64 b a) |
(* (PI) (/ 1/2 (* b (* a a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) |
(PI) |
(PI.f64) |
(/ 1/2 (* b (* a a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))) |
1/2 |
#s(literal 1/2 binary64) |
(* b (* a a)) |
(*.f64 b (*.f64 a a)) |
b |
(* a a) |
(*.f64 a a) |
a |
(* (/ (PI) (* a a)) (/ 1/2 b)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) |
(/ (PI) (* a a)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(PI) |
(PI.f64) |
(* a a) |
(*.f64 a a) |
a |
(/ 1/2 b) |
(/.f64 #s(literal 1/2 binary64) b) |
1/2 |
#s(literal 1/2 binary64) |
b |
(/ (* (/ 1/2 (+ b a)) (PI)) (* b a)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a)))) |
(* (/ 1/2 (+ b a)) (PI)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) |
(/ 1/2 (+ b a)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 b a)) |
1/2 |
#s(literal 1/2 binary64) |
(+ b a) |
(+.f64 b a) |
b |
a |
(PI) |
(PI.f64) |
(* b a) |
(*.f64 b a) |
(/ (/ (/ (* (PI) 1/2) a) b) a) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) |
(/ (/ (* (PI) 1/2) a) b) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) |
(/ (* (PI) 1/2) a) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) |
(* (PI) 1/2) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI) |
(PI.f64) |
1/2 |
#s(literal 1/2 binary64) |
a |
b |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a) |
| ✓ | accuracy | 99.6% | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) (*.f64 b a)) |
| ✓ | accuracy | 99.5% | (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) |
| ✓ | accuracy | 100.0% | (*.f64 a a) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.5% | (/.f64 (PI.f64) (*.f64 a a)) |
| ✓ | accuracy | 92.5% | (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.7% | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))) |
| ✓ | accuracy | 92.1% | (*.f64 b (*.f64 a a)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 1 binary64) (*.f64 b a)) |
| 96.0ms | 256× | 0 | valid |
Compiled 154 to 26 computations (83.1% saved)
ival-mult: 41.0ms (69.5% of total)ival-div: 15.0ms (25.4% of total)ival-pi: 1.0ms (1.7% of total)ival-add: 1.0ms (1.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ (* (PI) 1/2) (+ b a)) (/ 1 (* b a)))> |
#<alt (/ (* (PI) 1/2) (+ b a))> |
#<alt (* (PI) 1/2)> |
#<alt (PI)> |
#<alt (* (PI) (/ 1/2 (* b (* a a))))> |
#<alt (/ 1/2 (* b (* a a)))> |
#<alt (* b (* a a))> |
#<alt (* (/ (PI) (* a a)) (/ 1/2 b))> |
#<alt (/ (PI) (* a a))> |
#<alt (* a a)> |
#<alt (/ (* (/ 1/2 (+ b a)) (PI)) (* b a))> |
#<alt (* (/ 1/2 (+ b a)) (PI))> |
#<alt (/ 1/2 (+ b a))> |
#<alt (+ b a)> |
#<alt (/ (/ (/ (* (PI) 1/2) a) b) a)> |
#<alt (/ (/ (* (PI) 1/2) a) b)> |
#<alt (/ (* (PI) 1/2) a)> |
#<alt (/ 1 (* 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 (* 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) (* (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 (/ 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 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) 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 (* -1/2 (/ b a))) a)> |
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a)> |
#<alt (/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a)> |
#<alt (/ 1/2 a)> |
#<alt (* -1 (/ (- (* 1/2 (/ b a)) 1/2) a))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a))> |
#<alt a> |
#<alt (+ a b)> |
#<alt (+ a b)> |
#<alt (+ a b)> |
#<alt b> |
#<alt (* b (+ 1 (/ a b)))> |
#<alt (* b (+ 1 (/ a b)))> |
#<alt (* b (+ 1 (/ a b)))> |
#<alt b> |
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))> |
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))> |
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))> |
#<alt b> |
#<alt (+ a b)> |
#<alt (+ a b)> |
#<alt (+ a b)> |
#<alt a> |
#<alt (* a (+ 1 (/ b a)))> |
#<alt (* a (+ 1 (/ b a)))> |
#<alt (* a (+ 1 (/ b a)))> |
#<alt a> |
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))> |
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))> |
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))> |
#<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 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | b | @ | -inf | (/ 1/2 (+ b a)) |
| 1.0ms | b | @ | inf | (/ 1/2 (* b (* a a))) |
| 1.0ms | b | @ | 0 | (/ (/ (* (PI) 1/2) a) b) |
| 0.0ms | a | @ | 0 | (/ (PI) (* a a)) |
| 0.0ms | b | @ | 0 | (/ 1/2 (* b (* a a))) |
| 1× | batch-egg-rewrite |
| 5 098× | /-lowering-/.f32 |
| 5 098× | /-lowering-/.f64 |
| 4 810× | *-lowering-*.f32 |
| 4 810× | *-lowering-*.f64 |
| 1 482× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 112 |
| 1 | 155 | 112 |
| 2 | 1191 | 112 |
| 0 | 8092 | 112 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (* (PI) 1/2) (+ b a)) (/ 1 (* b a))) |
(/ (* (PI) 1/2) (+ b a)) |
(* (PI) 1/2) |
(PI) |
(* (PI) (/ 1/2 (* b (* a a)))) |
(/ 1/2 (* b (* a a))) |
(* b (* a a)) |
(* (/ (PI) (* a a)) (/ 1/2 b)) |
(/ (PI) (* a a)) |
(* a a) |
(/ (* (/ 1/2 (+ b a)) (PI)) (* b a)) |
(* (/ 1/2 (+ b a)) (PI)) |
(/ 1/2 (+ b a)) |
(+ b a) |
(/ (/ (/ (* (PI) 1/2) a) b) a) |
(/ (/ (* (PI) 1/2) a) b) |
(/ (* (PI) 1/2) a) |
(/ 1 (* b a)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 b b)) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 a (-.f64 a b)))) |
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 a (-.f64 a b))) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 b b))) |
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))) b) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))) (neg.f64 a))) |
(+.f64 (*.f64 (*.f64 b b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))))) (*.f64 (*.f64 a (-.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))))) |
(+.f64 (*.f64 (*.f64 a (-.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))))) (*.f64 (*.f64 b b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))))) |
(+.f64 (*.f64 b (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a))))) (*.f64 (neg.f64 a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 b) a)) (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) (-.f64 (neg.f64 b) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b (neg.f64 a))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 a (-.f64 (neg.f64 b) a)) b)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))) |
(fma.f64 b (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 (neg.f64 a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))))) |
(fma.f64 (*.f64 b b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 a (-.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))))) |
(fma.f64 (*.f64 a (-.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 b b) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 a (-.f64 a b)))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 a (-.f64 a b)) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 b b))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))) b (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))) (neg.f64 a))) |
(neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))) |
(neg.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) (-.f64 (neg.f64 b) a))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b a)) (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a))))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (+.f64 b a))))) |
(neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal -1/2 binary64) (+.f64 b a)))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 b a)) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b a)) (+.f64 b a))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64))))) |
(/.f64 (PI.f64) (*.f64 (*.f64 a (+.f64 b a)) (*.f64 b #s(literal 2 binary64)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 a (-.f64 (neg.f64 b) a)) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 b a)) (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (*.f64 a (-.f64 (neg.f64 b) a)) b)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (-.f64 (neg.f64 b) a)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (+.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (/.f64 (*.f64 b a) (PI.f64)))) |
(/.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 1/2 binary64) (+.f64 b a)) (/.f64 (*.f64 b a) (PI.f64))) |
(/.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 (*.f64 a (+.f64 b a)))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) (*.f64 b (+.f64 b a))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) (*.f64 (-.f64 (neg.f64 b) a) (neg.f64 b))) |
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) (+.f64 b a)) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b a) (/.f64 (*.f64 (+.f64 b a) #s(literal -2 binary64)) (PI.f64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 b a) (/.f64 (*.f64 b a) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (neg.f64 b) a) (/.f64 (*.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 a (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 b))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b a)) (-.f64 (neg.f64 b) a)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (+.f64 b a))) (*.f64 b (neg.f64 a))) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (*.f64 a (-.f64 (neg.f64 b) a)) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (neg.f64 (*.f64 (*.f64 a (-.f64 (neg.f64 b) a)) b)))) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a (*.f64 b (-.f64 (neg.f64 b) a)))) |
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 a (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (*.f64 b (neg.f64 a)))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 b (-.f64 (neg.f64 b) a))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 (+.f64 b a) (neg.f64 b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a))) (/.f64 a (PI.f64))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 a (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/.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) a) (/.f64 (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64))) (PI.f64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (*.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) (*.f64 a (+.f64 b a))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) (neg.f64 (*.f64 a (-.f64 (neg.f64 b) a)))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64)))) a) |
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) (*.f64 (+.f64 b a) #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (+.f64 b a))) (neg.f64 a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 a (-.f64 (neg.f64 b) a))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 (+.f64 b a) (neg.f64 a))) |
(/.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 (/.f64 (*.f64 a (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 a))) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a (*.f64 (+.f64 b a) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) a)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 b a))) (/.f64 b (PI.f64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a))) (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (+.f64 b a))) b) |
(/.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) (*.f64 b (*.f64 a (+.f64 b a)))) (/.f64 #s(literal 2 binary64) (PI.f64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) #s(literal -2 binary64)) (PI.f64))) |
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) (+.f64 b a)) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (-.f64 b a))) |
(/.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 b a))) (*.f64 (+.f64 b a) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (+.f64 b a)))) (neg.f64 b)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) a)) (neg.f64 b)) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (+.f64 b a))) a) (neg.f64 b)) |
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(/.f64 (+.f64 b a) #s(literal 1 binary64)) |
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(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64))) |
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(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (PI.f64) (*.f64 a a)))) |
(neg.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b a))))) |
(neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal -1/2 binary64) b))) |
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(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (*.f64 a a) (PI.f64)))) |
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(neg.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal -1/2 binary64)) b)) |
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(*.f64 (pow.f64 (/.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (pow.f64 (/.f64 b (*.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 (pow.f64 (/.f64 (*.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)) |
(neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)) |
(/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 a)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (PI.f64))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) a) |
(pow.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) a)) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) a)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (neg.f64 a))) |
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal -1/2 binary64) a)) |
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) a)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) a)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) a) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) a) (sqrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 b a)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b a))) |
(neg.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)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 b (neg.f64 a))) |
(/.f64 (/.f64 #s(literal 1 binary64) b) a) |
(/.f64 (/.f64 #s(literal 1 binary64) a) b) |
(/.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 a)) |
(/.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (neg.f64 a)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (neg.f64 b)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1 binary64)) (neg.f64 a)) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a) |
(pow.f64 (*.f64 b a) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 b a) (*.f64 b a)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 b a) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 b a))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b a)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (*.f64 b a) #s(literal -1/2 binary64)) (pow.f64 (*.f64 b a) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 8 164× | accelerator-lowering-fma.f32 |
| 8 164× | accelerator-lowering-fma.f64 |
| 4 166× | /-lowering-/.f32 |
| 4 166× | /-lowering-/.f64 |
| 4 024× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 387 | 3846 |
| 1 | 1081 | 3796 |
| 2 | 2906 | 3636 |
| 3 | 6445 | 3618 |
| 0 | 8292 | 3496 |
| 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)) |
(* 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) (* (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)) |
(/ 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 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) 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 (* -1/2 (/ b a))) a) |
(/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a) |
(/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a) |
(/ 1/2 a) |
(* -1 (/ (- (* 1/2 (/ b a)) 1/2) a)) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a)) |
a |
(+ a b) |
(+ a b) |
(+ a b) |
b |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
b |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
b |
(+ a b) |
(+ a b) |
(+ a b) |
a |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
a |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* 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 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
| Outputs |
|---|
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a 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 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 b 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 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (*.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 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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b))) (neg.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 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a) (*.f64 (PI.f64) (/.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) b))) 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 #s(literal 1/2 binary64) (*.f64 a (*.f64 (PI.f64) (/.f64 a (pow.f64 b #s(literal 4 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 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 (*.f64 a 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 (*.f64 a 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) (/.f64 (*.f64 b b) a) (*.f64 #s(literal 1/2 binary64) b)))) (*.f64 a a)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a 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 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) a)) 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 (PI.f64) b) (*.f64 (PI.f64) (/.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) a))) a)) (neg.f64 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 b (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64)))) (pow.f64 a #s(literal 4 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 (*.f64 (PI.f64) #s(literal -1/2 binary64)) 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 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b)) (PI.f64)) (*.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) 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 (*.f64 a a) (/.f64 (PI.f64) (*.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 (-.f64 (*.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 (PI.f64) (*.f64 a #s(literal -1/2 binary64)))) 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 (*.f64 (PI.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)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) a)) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (*.f64 b (/.f64 b (*.f64 a a))) (PI.f64)) (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) a)) 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) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 (fma.f64 b (/.f64 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 b (*.f64 a a))) (PI.f64)))) a) |
(* 1/2 (/ (PI) a)) |
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(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b)) |
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(/ 1/2 b) |
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b |
(* b (+ 1 (/ a b))) |
(fma.f64 b (/.f64 a b) b) |
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b |
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(* 1/2 (/ (PI) (* a b))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) |
(* 1/2 (/ (PI) (* a b))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) |
(* 1/2 (/ (PI) (* a b))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) |
(* 1/2 (/ (PI) (* a b))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) |
(* 1/2 (/ (PI) (* a b))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) |
(* 1/2 (/ (PI) (* a b))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) |
(* 1/2 (/ (PI) (* a b))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) |
(* 1/2 (/ (PI) (* a b))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) |
(* 1/2 (/ (PI) (* a b))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) |
(* 1/2 (/ (PI) (* a b))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) |
(* 1/2 (/ (PI) (* a b))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) |
(* 1/2 (/ (PI) (* a b))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) |
(* 1/2 (/ (PI) (* a b))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) |
(* 1/2 (/ (PI) (* a b))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) |
(* 1/2 (/ (PI) (* a b))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) |
(* 1/2 (/ (PI) (* a b))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) |
(* 1/2 (/ (PI) (* a b))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) |
(* 1/2 (/ (PI) (* a b))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) |
(* 1/2 (/ (PI) (* a b))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) |
(* 1/2 (/ (PI) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(* 1/2 (/ (PI) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(* 1/2 (/ (PI) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(* 1/2 (/ (PI) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(* 1/2 (/ (PI) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(* 1/2 (/ (PI) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(* 1/2 (/ (PI) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(* 1/2 (/ (PI) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(* 1/2 (/ (PI) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(* 1/2 (/ (PI) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(* 1/2 (/ (PI) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(* 1/2 (/ (PI) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
Compiled 34 977 to 3 531 computations (89.9% saved)
20 alts after pruning (18 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 251 | 10 | 2 261 |
| Fresh | 7 | 8 | 15 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 262 | 20 | 2 282 |
| Status | Accuracy | Program |
|---|---|---|
| 97.4% | (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) a) b) | |
| ▶ | 97.1% | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (+.f64 b a))) b) |
| 67.0% | (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a)) | |
| 93.9% | (/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64)))) a) | |
| 55.0% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) a) | |
| ▶ | 67.0% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 b a)) |
| 52.5% | (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 a a)) | |
| ▶ | 96.4% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
| 52.2% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) | |
| 61.2% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) | |
| ✓ | 54.7% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
| 61.2% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 b b))) (PI.f64))) | |
| 99.0% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a))) | |
| 99.0% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) | |
| 54.7% | (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 b a)) (PI.f64))) | |
| ▶ | 99.7% | (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
| ✓ | 52.5% | (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
| 52.5% | (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) | |
| 96.3% | (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)) | |
| ▶ | 54.7% | (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) |
Compiled 462 to 332 computations (28.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 a (+.f64 b a))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (+.f64 b a))) b) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) b) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 b a)) |
| ✓ | cost-diff | 0 | (*.f64 b (*.f64 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 b (*.f64 a (+.f64 b a)))) |
| ✓ | cost-diff | 0 | (*.f64 b a) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 b a)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 b a) |
| ✓ | 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 #s(literal 1/2 binary64) (+.f64 b a))) |
| 224× | *-lowering-*.f32 |
| 224× | *-lowering-*.f64 |
| 198× | /-lowering-/.f32 |
| 198× | /-lowering-/.f64 |
| 124× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 151 |
| 1 | 63 | 151 |
| 2 | 174 | 151 |
| 3 | 311 | 151 |
| 4 | 339 | 151 |
| 5 | 339 | 151 |
| 0 | 339 | 151 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (/ (PI) (* b a)) (/ 1/2 (+ b a))) |
(/ (PI) (* b a)) |
(PI) |
(* b a) |
b |
a |
(/ 1/2 (+ b a)) |
1/2 |
(+ b a) |
(* (/ 1/2 (* a (* b a))) (PI)) |
(/ 1/2 (* a (* b a))) |
1/2 |
(* a (* b a)) |
a |
(* b a) |
b |
(PI) |
(/ (* (PI) 1/2) (* b (* a (+ b a)))) |
(* (PI) 1/2) |
(PI) |
1/2 |
(* b (* a (+ b a))) |
b |
(* a (+ b a)) |
a |
(+ b a) |
(/ (* (/ 1/2 b) (PI)) (* b a)) |
(* (/ 1/2 b) (PI)) |
(/ 1/2 b) |
1/2 |
b |
(PI) |
(* b a) |
a |
(/ (/ (* (PI) 1/2) (* a (+ b a))) b) |
(/ (* (PI) 1/2) (* a (+ b a))) |
(* (PI) 1/2) |
(PI) |
1/2 |
(* a (+ b a)) |
a |
(+ b a) |
b |
| Outputs |
|---|
(* (/ (PI) (* b a)) (/ 1/2 (+ b a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
(/ (PI) (* b a)) |
(/.f64 (PI.f64) (*.f64 b a)) |
(PI) |
(PI.f64) |
(* b a) |
(*.f64 b a) |
b |
a |
(/ 1/2 (+ b a)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 b a)) |
1/2 |
#s(literal 1/2 binary64) |
(+ b a) |
(+.f64 b a) |
(* (/ 1/2 (* a (* b a))) (PI)) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(/ 1/2 (* a (* b a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))) |
1/2 |
#s(literal 1/2 binary64) |
(* a (* b a)) |
(*.f64 b (*.f64 a a)) |
a |
(* b a) |
(*.f64 b a) |
b |
(PI) |
(PI.f64) |
(/ (* (PI) 1/2) (* b (* a (+ b a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
(* (PI) 1/2) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI) |
(PI.f64) |
1/2 |
#s(literal 1/2 binary64) |
(* b (* a (+ b a))) |
(*.f64 b (*.f64 a (+.f64 b a))) |
b |
(* a (+ b a)) |
(*.f64 a (+.f64 b a)) |
a |
(+ b a) |
(+.f64 b a) |
(/ (* (/ 1/2 b) (PI)) (* b a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 b a)))) |
(* (/ 1/2 b) (PI)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) |
(/ 1/2 b) |
(/.f64 #s(literal 1/2 binary64) b) |
1/2 |
#s(literal 1/2 binary64) |
b |
(PI) |
(PI.f64) |
(* b a) |
(*.f64 b a) |
a |
(/ (/ (* (PI) 1/2) (* a (+ b a))) b) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
(/ (* (PI) 1/2) (* a (+ b a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (+.f64 b a))) |
(* (PI) 1/2) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI) |
(PI.f64) |
1/2 |
#s(literal 1/2 binary64) |
(* a (+ b a)) |
(*.f64 a (+.f64 b a)) |
a |
(+ b a) |
(+.f64 b a) |
b |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 a (+.f64 b a)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.2% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (+.f64 b a))) |
| ✓ | accuracy | 97.5% | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (+.f64 b a))) b) |
| ✓ | accuracy | 100.0% | (*.f64 b a) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 b a)) |
| ✓ | accuracy | 99.5% | (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) |
| ✓ | accuracy | 100.0% | (*.f64 a (+.f64 b a)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.0% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
| ✓ | accuracy | 97.3% | (*.f64 b (*.f64 a (+.f64 b a))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (*.f64 a (*.f64 b a)) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
| ✓ | accuracy | 99.0% | (/.f64 (PI.f64) (*.f64 b a)) |
| 61.0ms | 256× | 0 | valid |
Compiled 153 to 23 computations (85% saved)
ival-div: 16.0ms (37.8% of total)ival-mult: 14.0ms (33.1% of total)ival-add: 11.0ms (26% 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 (* (/ (PI) (* b a)) (/ 1/2 (+ b a)))> |
#<alt (/ (PI) (* b a))> |
#<alt (PI)> |
#<alt (* b a)> |
#<alt (* (/ 1/2 (* a (* b a))) (PI))> |
#<alt (/ 1/2 (* a (* b a)))> |
#<alt (* a (* b a))> |
#<alt (/ (* (PI) 1/2) (* b (* a (+ b a))))> |
#<alt (* (PI) 1/2)> |
#<alt (* b (* a (+ b a)))> |
#<alt (/ (* (/ 1/2 b) (PI)) (* b a))> |
#<alt (* (/ 1/2 b) (PI))> |
#<alt (/ 1/2 b)> |
#<alt (/ (/ (* (PI) 1/2) (* a (+ b a))) b)> |
#<alt (/ (* (PI) 1/2) (* a (+ b a)))> |
#<alt (/ 1/2 (+ b a))> |
#<alt (* a (+ 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 (/ (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 (* (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 (/ (* 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) (* 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 b)> |
#<alt (/ 1/2 b)> |
#<alt (/ 1/2 b)> |
#<alt (/ 1/2 b)> |
#<alt (/ 1/2 b)> |
#<alt (/ 1/2 b)> |
#<alt (/ 1/2 b)> |
#<alt (/ 1/2 b)> |
#<alt (/ 1/2 b)> |
#<alt (/ 1/2 b)> |
#<alt (/ 1/2 b)> |
#<alt (/ 1/2 b)> |
#<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) 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 b)))> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))))) a)> |
#<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)))))))) a)> |
#<alt (* 1/2 (/ (PI) (pow a 2)))> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) (pow a 2))> |
#<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)))))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (pow a 2)))> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 3) (PI)) a)) (* 1/2 (* (pow b 2) (PI)))) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (pow a 2)))> |
#<alt (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2))))> |
#<alt (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4))))))> |
#<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))))))))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) b)> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) b)> |
#<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)))))) b)> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) b))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) (* -1/2 (/ (PI) a))) b))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) (* -1/2 (/ (PI) a))) b))> |
#<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 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) 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 (* -1/2 (/ b a))) a)> |
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a)> |
#<alt (/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a)> |
#<alt (/ 1/2 a)> |
#<alt (* -1 (/ (- (* 1/2 (/ b a)) 1/2) a))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a))> |
#<alt (* a b)> |
#<alt (* a (+ a b))> |
#<alt (* a (+ a b))> |
#<alt (* a (+ a b))> |
#<alt (pow a 2)> |
#<alt (* (pow a 2) (+ 1 (/ b a)))> |
#<alt (* (pow a 2) (+ 1 (/ b a)))> |
#<alt (* (pow a 2) (+ 1 (/ b a)))> |
#<alt (pow a 2)> |
#<alt (* (pow a 2) (+ 1 (/ b a)))> |
#<alt (* (pow a 2) (+ 1 (/ b a)))> |
#<alt (* (pow a 2) (+ 1 (/ b a)))> |
#<alt (pow a 2)> |
#<alt (+ (* a b) (pow a 2))> |
#<alt (+ (* a b) (pow a 2))> |
#<alt (+ (* a b) (pow a 2))> |
#<alt (* a b)> |
#<alt (* b (+ a (/ (pow a 2) b)))> |
#<alt (* b (+ a (/ (pow a 2) b)))> |
#<alt (* b (+ a (/ (pow a 2) b)))> |
#<alt (* a b)> |
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))> |
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))> |
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))> |
84 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | 0 | (/ (* (/ 1/2 b) (PI)) (* b a)) |
| 1.0ms | b | @ | 0 | (/ (* (/ 1/2 b) (PI)) (* b a)) |
| 0.0ms | b | @ | -inf | (* b (* a (+ b a))) |
| 0.0ms | b | @ | inf | (/ (* (/ 1/2 b) (PI)) (* b a)) |
| 0.0ms | a | @ | inf | (/ (* (/ 1/2 b) (PI)) (* b a)) |
| 1× | batch-egg-rewrite |
| 5 910× | /-lowering-/.f32 |
| 5 910× | /-lowering-/.f64 |
| 5 228× | *-lowering-*.f32 |
| 5 228× | *-lowering-*.f64 |
| 1 578× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 109 |
| 1 | 140 | 109 |
| 2 | 1127 | 109 |
| 0 | 8520 | 109 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (PI) (* b a)) (/ 1/2 (+ b a))) |
(/ (PI) (* b a)) |
(PI) |
(* b a) |
(* (/ 1/2 (* a (* b a))) (PI)) |
(/ 1/2 (* a (* b a))) |
(* a (* b a)) |
(/ (* (PI) 1/2) (* b (* a (+ b a)))) |
(* (PI) 1/2) |
(* b (* a (+ b a))) |
(/ (* (/ 1/2 b) (PI)) (* b a)) |
(* (/ 1/2 b) (PI)) |
(/ 1/2 b) |
(/ (/ (* (PI) 1/2) (* a (+ b a))) b) |
(/ (* (PI) 1/2) (* a (+ b a))) |
(/ 1/2 (+ b a)) |
(* a (+ b a)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 b a))) (*.f64 b b)) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 b a))) (*.f64 a (-.f64 a b)))) |
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 b a))) (*.f64 a (-.f64 a b))) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 b a))) (*.f64 b b))) |
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 b a))) b) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 b a))) (neg.f64 a))) |
(+.f64 (*.f64 (*.f64 b b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 b a)))) (*.f64 (*.f64 a (-.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 b a))))) |
(+.f64 (*.f64 (*.f64 a (-.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 b a)))) (*.f64 (*.f64 b b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 b a))))) |
(+.f64 (*.f64 b (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 b a)))) (*.f64 (neg.f64 a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 b a))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 a (+.f64 b a)))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 b (*.f64 (*.f64 a (+.f64 b a)) #s(literal 2 binary64))))) (/.f64 (PI.f64) (neg.f64 (*.f64 b (*.f64 (*.f64 a (+.f64 b a)) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 b a) (-.f64 (neg.f64 a) b))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))) |
(fma.f64 b (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 b a))) (*.f64 (neg.f64 a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 b a))))) |
(fma.f64 (*.f64 b b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 b a))) (*.f64 (*.f64 a (-.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 b a))))) |
(fma.f64 (*.f64 a (-.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 b a))) (*.f64 (*.f64 b b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 b a))))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 b a))) (*.f64 b b) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 b a))) (*.f64 a (-.f64 a 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 b a))) (*.f64 a (-.f64 a b)) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 b a))) (*.f64 b b))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 b a))) b (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 b a))) (neg.f64 a))) |
(neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))) |
(neg.f64 (/.f64 (PI.f64) (neg.f64 (*.f64 b (*.f64 (*.f64 a (+.f64 b a)) #s(literal 2 binary64)))))) |
(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) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 b a)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (PI.f64) (*.f64 a (+.f64 b a))))) |
(neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal -1/2 binary64) (+.f64 b a)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a (+.f64 b a))))) |
(neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 b a))) (/.f64 #s(literal -1/2 binary64) b))) |
(neg.f64 (/.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 b a))) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 b a)) (/.f64 (*.f64 b a) (PI.f64)))) |
(/.f64 (PI.f64) (*.f64 b (*.f64 (*.f64 a (+.f64 b a)) #s(literal 2 binary64)))) |
(/.f64 (PI.f64) (neg.f64 (neg.f64 (*.f64 b (*.f64 (*.f64 a (+.f64 b a)) #s(literal 2 binary64)))))) |
(/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 a (+.f64 b a)) #s(literal 2 binary64)) b)) |
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) (*.f64 (+.f64 b a) #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) (neg.f64 (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (neg.f64 (PI.f64))))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (*.f64 b a) (PI.f64))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (*.f64 a (+.f64 b a)) (PI.f64))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (*.f64 a (+.f64 b a))) |
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a (+.f64 b a)) #s(literal 2 binary64))) b) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a)))))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (neg.f64 (PI.f64)))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a (+.f64 b a))) (neg.f64 b)) |
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 b (*.f64 (*.f64 a (+.f64 b a)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 a (+.f64 b a)) #s(literal 2 binary64)) (neg.f64 b))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (neg.f64 (*.f64 a (+.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (*.f64 b a) (-.f64 (neg.f64 a) b))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) b)) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 (*.f64 a (+.f64 b a)) #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 b a))) (/.f64 b (PI.f64))) |
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 (*.f64 a (+.f64 b a)) #s(literal 2 binary64)) (PI.f64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (PI.f64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (/.f64 #s(literal 2 binary64) (PI.f64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b a))) (/.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64)) (+.f64 b a)) |
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (*.f64 b a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 b (+.f64 b a))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 (neg.f64 b) (-.f64 (neg.f64 a) b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (neg.f64 (/.f64 (*.f64 b a) (PI.f64))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a (+.f64 b a)) #s(literal 2 binary64)) (PI.f64)) (neg.f64 b))) |
(/.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 (neg.f64 b) (+.f64 b a))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 b (-.f64 (neg.f64 a) b))) |
(/.f64 (/.f64 (PI.f64) (neg.f64 b)) (neg.f64 (*.f64 (*.f64 a (+.f64 b a)) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (PI.f64) (neg.f64 b)) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (neg.f64 a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal -1/2 binary64)) (-.f64 (neg.f64 a) b)) |
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal -2 binary64))) (neg.f64 (*.f64 b a))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 b a))) (*.f64 b #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 (+.f64 b a) (PI.f64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a))) (/.f64 a (PI.f64))) |
(/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a (+.f64 b a)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 b a)) (neg.f64 (/.f64 (*.f64 b a) (PI.f64)))) |
(/.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 b a))) (*.f64 (+.f64 b a) #s(literal -2 binary64))) |
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a)))) a) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 b a))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 b a))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a (+.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a))))) (neg.f64 a)) |
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a (+.f64 b a))) #s(literal 1 binary64)) (neg.f64 b)) |
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 b a) (-.f64 (neg.f64 a) b))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (/.f64 (*.f64 a (+.f64 b a)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 b a))) #s(literal 1 binary64)) (/.f64 b (PI.f64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) |
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) #s(literal -1 binary64)) (neg.f64 (*.f64 a (+.f64 b a)))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal -1 binary64)) (*.f64 (+.f64 b a) #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal -1/2 binary64))) (-.f64 (neg.f64 a) b)) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) (+.f64 b a)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 b a) (PI.f64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) (neg.f64 b))) (neg.f64 a)) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a (+.f64 b a)) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 b)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (neg.f64 (*.f64 a (+.f64 b a)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) a) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) (+.f64 b a)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)) (-.f64 (neg.f64 a) b)) |
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 b a)) |
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (-.f64 (neg.f64 a) b)) |
(/.f64 (*.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) #s(literal 1 binary64)) (*.f64 b a)) |
(/.f64 (*.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) #s(literal -1 binary64)) (neg.f64 (*.f64 b a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) b)) a) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 b a))) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 b a))) #s(literal -1/2 binary64)) (neg.f64 b)) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 b a))) #s(literal -1 binary64)) (*.f64 b #s(literal -2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a))) (PI.f64)) a) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a))) #s(literal 1 binary64)) (/.f64 a (PI.f64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a))) (neg.f64 (PI.f64))) (neg.f64 a)) |
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 b a))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 (*.f64 a a) (*.f64 (-.f64 a b) (-.f64 a b)))))) (fma.f64 (*.f64 b b) (*.f64 b b) (*.f64 (*.f64 a (-.f64 a b)) (-.f64 (*.f64 a (-.f64 a b)) (*.f64 b b))))) |
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 b a))) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b))))) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b)))) |
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 b a))) (*.f64 (+.f64 b a) (-.f64 b a))) (+.f64 b a)) |
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 b a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))) (fma.f64 b b (*.f64 a (+.f64 b a)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 (*.f64 a (+.f64 b a)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (-.f64 (neg.f64 a) b)) |
(/.f64 (*.f64 (/.f64 (PI.f64) (neg.f64 b)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (neg.f64 a)) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (*.f64 a (+.f64 b a)))) (*.f64 b #s(literal -2 binary64))) |
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (/.f64 #s(literal 1 binary64) b)) (-.f64 (neg.f64 a) b)) |
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (/.f64 #s(literal -1 binary64) b)) (-.f64 (neg.f64 a) b)) |
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(/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a)))) (neg.f64 a)) |
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(+.f64 (*.f64 (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 a (-.f64 a b)) (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))))) |
(+.f64 (*.f64 (*.f64 a (-.f64 a b)) (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))))) |
(+.f64 (*.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 (neg.f64 a) (/.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 (neg.f64 a) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a (-.f64 a b)) (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))))) |
(fma.f64 (*.f64 a (-.f64 a b)) (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 b b) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 a (-.f64 a b)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 a (-.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 b b))) |
(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))) (neg.f64 a))) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 b a))) |
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(/.f64 #s(literal 1/2 binary64) (+.f64 b a)) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) |
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(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 b a) #s(literal -2 binary64))) |
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(/.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 a (-.f64 a b) (*.f64 b b))) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 (*.f64 a a) (*.f64 (-.f64 a b) (-.f64 a b)))))) (fma.f64 (*.f64 b b) (*.f64 b b) (*.f64 (*.f64 a (-.f64 a b)) (-.f64 (*.f64 a (-.f64 a b)) (*.f64 b b))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b))))) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 (+.f64 b a) (-.f64 b a))) (+.f64 b a)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))) (fma.f64 b b (*.f64 a (+.f64 b a)))) |
(pow.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(*.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 b 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 b a)) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 a (-.f64 a b) (*.f64 b b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 a a (*.f64 b (-.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 b a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.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) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 (-.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (neg.f64 a) b) (-.f64 b a))) (neg.f64 (-.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 a b))) (-.f64 a b)) |
(+.f64 (*.f64 b a) (*.f64 a a)) |
(+.f64 (*.f64 b a) (neg.f64 (*.f64 a (neg.f64 a)))) |
(+.f64 (*.f64 a a) (*.f64 b a)) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 a (+.f64 b a)))) |
(-.f64 (/.f64 (*.f64 (*.f64 b a) (*.f64 b a)) (*.f64 a (-.f64 b a))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 a (-.f64 b a)))) |
(fma.f64 b a (*.f64 a a)) |
(fma.f64 b a (neg.f64 (*.f64 a (neg.f64 a)))) |
(fma.f64 b (neg.f64 (neg.f64 a)) (*.f64 a a)) |
(fma.f64 b (neg.f64 (neg.f64 a)) (neg.f64 (*.f64 a (neg.f64 a)))) |
(fma.f64 a b (*.f64 a a)) |
(fma.f64 a b (neg.f64 (*.f64 a (neg.f64 a)))) |
(fma.f64 a a (*.f64 b a)) |
(fma.f64 (*.f64 b a) #s(literal 1 binary64) (*.f64 a a)) |
(fma.f64 (*.f64 b a) #s(literal 1 binary64) (neg.f64 (*.f64 a (neg.f64 a)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 b a) (*.f64 a a)) |
(fma.f64 #s(literal 1 binary64) (*.f64 b a) (neg.f64 (*.f64 a (neg.f64 a)))) |
(fma.f64 (neg.f64 b) (neg.f64 a) (*.f64 a a)) |
(fma.f64 (neg.f64 b) (neg.f64 a) (neg.f64 (*.f64 a (neg.f64 a)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b a)) (*.f64 a a)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b a)) (neg.f64 (*.f64 a (neg.f64 a)))) |
(fma.f64 (neg.f64 a) (neg.f64 b) (*.f64 a a)) |
(fma.f64 (neg.f64 a) (neg.f64 b) (neg.f64 (*.f64 a (neg.f64 a)))) |
(fma.f64 (neg.f64 (neg.f64 a)) b (*.f64 a a)) |
(fma.f64 (neg.f64 (neg.f64 a)) b (neg.f64 (*.f64 a (neg.f64 a)))) |
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)) (*.f64 b a)) |
(neg.f64 (neg.f64 (*.f64 a (+.f64 b a)))) |
(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 b a))) |
(/.f64 (*.f64 a (+.f64 b a)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b a)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (-.f64 b a)) (*.f64 (*.f64 a (+.f64 b a)) (*.f64 a (-.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 a (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 a (*.f64 (+.f64 b a) (-.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a))) |
(/.f64 (neg.f64 (*.f64 a (+.f64 b a))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (fma.f64 (*.f64 b a) (*.f64 b a) (*.f64 (*.f64 a a) (*.f64 a (-.f64 a b)))) (*.f64 a (+.f64 b a))) (fma.f64 (*.f64 b a) (*.f64 b a) (*.f64 (*.f64 a a) (*.f64 a (-.f64 a b))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 b a) (*.f64 b a) (*.f64 (*.f64 a a) (*.f64 a (-.f64 a b)))) (*.f64 a (+.f64 b a))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b a) (*.f64 b a) (*.f64 (*.f64 a a) (*.f64 a (-.f64 a b)))))) |
(/.f64 (*.f64 (*.f64 a (+.f64 b a)) (*.f64 a (-.f64 b a))) (*.f64 a (-.f64 b a))) |
(/.f64 (*.f64 (*.f64 a (+.f64 b a)) (*.f64 a (-.f64 b a))) (*.f64 #s(literal 1 binary64) (*.f64 a (-.f64 b a)))) |
(/.f64 (*.f64 (*.f64 a (+.f64 b a)) (*.f64 a (-.f64 a b))) (*.f64 a (-.f64 a b))) |
(/.f64 (*.f64 a (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 a (-.f64 a b) (*.f64 b b))) |
(/.f64 (*.f64 a (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 a a (*.f64 b (-.f64 b a)))) |
(/.f64 (*.f64 a (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))) |
(/.f64 (*.f64 a (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 b a)) |
(/.f64 (*.f64 a (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 #s(literal 1 binary64) (-.f64 b a))) |
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) a) (fma.f64 a (-.f64 a b) (*.f64 b b))) |
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) a) (fma.f64 a a (*.f64 b (-.f64 b a)))) |
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) a) (*.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))) |
(/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a) (-.f64 b a)) |
(/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a) (*.f64 #s(literal 1 binary64) (-.f64 b a))) |
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(/.f64 (neg.f64 (*.f64 (*.f64 a (+.f64 b a)) (*.f64 a (-.f64 b a)))) (neg.f64 (*.f64 a (-.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 a (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))) |
(/.f64 (neg.f64 (*.f64 a (*.f64 (+.f64 b a) (-.f64 b a)))) (neg.f64 (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) a)) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a)) (neg.f64 (-.f64 b a))) |
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b a) (*.f64 (*.f64 b a) (*.f64 b a)))) (fma.f64 (*.f64 a a) (*.f64 a a) (-.f64 (*.f64 (*.f64 b a) (*.f64 b a)) (*.f64 (*.f64 a a) (*.f64 b a))))) |
(/.f64 (*.f64 a (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))) |
(/.f64 (*.f64 a (*.f64 (-.f64 (neg.f64 a) b) (-.f64 b a))) (neg.f64 (-.f64 b a))) |
(/.f64 (*.f64 a (*.f64 (+.f64 b a) (-.f64 a b))) (-.f64 a b)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) a) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))) |
(/.f64 (*.f64 (*.f64 (-.f64 (neg.f64 a) b) (-.f64 b a)) a) (neg.f64 (-.f64 b a))) |
(/.f64 (*.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b a))) |
(/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) a) (-.f64 a b)) |
(*.f64 a (+.f64 b a)) |
(*.f64 (+.f64 b a) a) |
(*.f64 (+.f64 b a) (neg.f64 (neg.f64 a))) |
(*.f64 (*.f64 a (+.f64 b a)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b a))) |
(*.f64 (-.f64 (neg.f64 a) b) (neg.f64 a)) |
(*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 a (fma.f64 a (-.f64 a b) (*.f64 b b)))) |
(*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 a (-.f64 b a))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 a (+.f64 b a)))) |
(*.f64 (neg.f64 a) (-.f64 (neg.f64 a) b)) |
(*.f64 (*.f64 (fma.f64 (*.f64 b a) (*.f64 b a) (*.f64 (*.f64 a a) (*.f64 a (-.f64 a b)))) (*.f64 a (+.f64 b a))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b a) (*.f64 b a) (*.f64 (*.f64 a a) (*.f64 a (-.f64 a b)))))) |
(*.f64 (*.f64 (*.f64 a (+.f64 b a)) (*.f64 a (-.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 a (-.f64 b a)))) |
(*.f64 (*.f64 a (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))) |
(*.f64 (*.f64 a (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 b a))) |
(*.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) a) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))) |
(*.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a) (/.f64 #s(literal 1 binary64) (-.f64 b a))) |
(*.f64 (neg.f64 (neg.f64 a)) (+.f64 b a)) |
(*.f64 (/.f64 (*.f64 a (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 (*.f64 a a) (*.f64 (-.f64 a b) (-.f64 a b)))))) (fma.f64 (*.f64 b b) (*.f64 b b) (*.f64 (*.f64 a (-.f64 a b)) (-.f64 (*.f64 a (-.f64 a b)) (*.f64 b b))))) |
(*.f64 (/.f64 (*.f64 a (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b))))) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b)))) |
(*.f64 (/.f64 (*.f64 a (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 (+.f64 b a) (-.f64 b a))) (+.f64 b a)) |
(*.f64 (/.f64 (*.f64 a (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))) (fma.f64 b b (*.f64 a (+.f64 b a)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) a) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 (*.f64 a a) (*.f64 (-.f64 a b) (-.f64 a b)))))) (fma.f64 (*.f64 b b) (*.f64 b b) (*.f64 (*.f64 a (-.f64 a b)) (-.f64 (*.f64 a (-.f64 a b)) (*.f64 b b))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) a) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b))))) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a) (*.f64 (+.f64 b a) (-.f64 b a))) (+.f64 b a)) |
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))) (fma.f64 b b (*.f64 a (+.f64 b a)))) |
| 1× | egg-herbie |
| 8 806× | accelerator-lowering-fma.f32 |
| 8 806× | accelerator-lowering-fma.f64 |
| 4 134× | *-lowering-*.f32 |
| 4 134× | *-lowering-*.f64 |
| 2 540× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 357 | 3721 |
| 1 | 993 | 3669 |
| 2 | 2633 | 3545 |
| 3 | 6163 | 3533 |
| 0 | 8301 | 3395 |
| 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)) |
(/ (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 (* (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 (/ (* 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) (* 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 b) |
(/ 1/2 b) |
(/ 1/2 b) |
(/ 1/2 b) |
(/ 1/2 b) |
(/ 1/2 b) |
(/ 1/2 b) |
(/ 1/2 b) |
(/ 1/2 b) |
(/ 1/2 b) |
(/ 1/2 b) |
(/ 1/2 b) |
(* 1/2 (/ (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) 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 b))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b))) a) |
(/ (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))))) a) |
(/ (+ (* 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)))))))) a) |
(* 1/2 (/ (PI) (pow a 2))) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) (pow a 2)) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) (pow a 2)) |
(/ (+ (* -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)))))) (pow a 2)) |
(* 1/2 (/ (PI) (pow a 2))) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 3) (PI)) a)) (* 1/2 (* (pow b 2) (PI)))) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) (pow a 2)) |
(* 1/2 (/ (PI) (pow a 2))) |
(+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) |
(+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) |
(+ (* 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)))))))) |
(* 1/2 (/ (PI) (* a b))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) b) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) 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)))))) b) |
(* 1/2 (/ (PI) (* a b))) |
(* -1 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) (* -1/2 (/ (PI) a))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) (* -1/2 (/ (PI) a))) b)) |
(/ 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 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) 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 (* -1/2 (/ b a))) a) |
(/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a) |
(/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a) |
(/ 1/2 a) |
(* -1 (/ (- (* 1/2 (/ b a)) 1/2) a)) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a)) |
(* a b) |
(* a (+ a b)) |
(* a (+ a b)) |
(* a (+ a b)) |
(pow a 2) |
(* (pow a 2) (+ 1 (/ b a))) |
(* (pow a 2) (+ 1 (/ b a))) |
(* (pow a 2) (+ 1 (/ b a))) |
(pow a 2) |
(* (pow a 2) (+ 1 (/ b a))) |
(* (pow a 2) (+ 1 (/ b a))) |
(* (pow a 2) (+ 1 (/ b a))) |
(pow a 2) |
(+ (* a b) (pow a 2)) |
(+ (* a b) (pow a 2)) |
(+ (* a b) (pow a 2)) |
(* a b) |
(* b (+ a (/ (pow a 2) b))) |
(* b (+ a (/ (pow a 2) b))) |
(* b (+ a (/ (pow a 2) b))) |
(* a b) |
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b))))) |
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b))))) |
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b))))) |
| Outputs |
|---|
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b)) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) 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) (/.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 b (fma.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))) b) |
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(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.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 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 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 a #s(literal -1/2 binary64)) 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 (fma.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 (PI.f64) (*.f64 a #s(literal -1/2 binary64)))) b)) b)) (*.f64 b b)) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b))) a) |
(/.f64 (*.f64 (/.f64 (PI.f64) b) (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal 1/2 binary64))) a) |
(/ (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))))) a) |
(/.f64 (fma.f64 a (*.f64 (/.f64 (PI.f64) (*.f64 b 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)) b)) a) |
(/ (+ (* 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)))))))) a) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (*.f64 a (fma.f64 a (/.f64 (*.f64 (PI.f64) (*.f64 a #s(literal -1/2 binary64))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)))))) a) |
(* 1/2 (/ (PI) (pow a 2))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a))) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) b) a))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 b b) a) b)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 a 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)))))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (PI.f64) a))) (*.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b (/.f64 (PI.f64) (*.f64 a a))) (PI.f64)))) (*.f64 a a)) |
(* 1/2 (/ (PI) (pow a 2))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a))) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) b) a))) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 (PI.f64) (/.f64 (*.f64 b (*.f64 #s(literal 1/2 binary64) b)) a) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) b))) a)) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 3) (PI)) a)) (* 1/2 (* (pow b 2) (PI)))) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) b) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) b) (/.f64 (*.f64 b b) a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (*.f64 b b)))) a)) a)) (*.f64 a a)) |
(* 1/2 (/ (PI) (pow a 2))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a))) |
(+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) |
(fma.f64 b (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a (*.f64 a a))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))) |
(+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) |
(fma.f64 b (fma.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))) |
(+ (* 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)))))))) |
(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 (PI.f64) b)) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) b) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) b) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) b) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))) 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)))))) b) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.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 b b)) (/.f64 (PI.f64) a)))) b) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) |
(* -1 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) b)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (neg.f64 b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) (* -1/2 (/ (PI) a))) b)) |
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) a) b) (*.f64 (PI.f64) #s(literal -1/2 binary64))) b) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)) b) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) (* -1/2 (/ (PI) a))) b)) |
(/.f64 (-.f64 (/.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)) b) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)) b) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a))) |
(/.f64 (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/2 binary64)) a) |
(+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 (*.f64 b b) a) b) #s(literal 1/2 binary64)) 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))) |
(fma.f64 b (fma.f64 b (*.f64 #s(literal -1/2 binary64) (/.f64 b (pow.f64 a #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (+.f64 (/.f64 b a) #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) |
(/ 1/2 b) |
(/.f64 #s(literal 1/2 binary64) b) |
(/ (+ 1/2 (* -1/2 (/ a b))) b) |
(/.f64 (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal 1/2 binary64)) b) |
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* 1/2 (/ a b))) b) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (-.f64 (/.f64 (*.f64 a a) b) a) #s(literal 1/2 binary64)) b) |
(/ (- (+ 1/2 (* -1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) b) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 a (-.f64 (/.f64 (*.f64 a a) b) a)) b) a)) b)) b) |
(/ 1/2 b) |
(/.f64 #s(literal 1/2 binary64) b) |
(* -1 (/ (- (* 1/2 (/ a b)) 1/2) b)) |
(/.f64 (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal 1/2 binary64)) b) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (-.f64 (/.f64 (*.f64 a a) b) a) #s(literal 1/2 binary64)) 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 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 a (-.f64 (/.f64 (*.f64 a a) b) a)) b) a)) b)) b) |
(/ 1/2 b) |
(/.f64 #s(literal 1/2 binary64) b) |
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) |
(/.f64 (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal 1/2 binary64)) b) |
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (-.f64 (/.f64 (*.f64 a a) b) a) #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 a (/.f64 (*.f64 a #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (+.f64 (/.f64 a b) #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) b)) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(/ (+ 1/2 (* -1/2 (/ b a))) a) |
(/.f64 (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/2 binary64)) a) |
(/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 (*.f64 b b) a) b) #s(literal 1/2 binary64)) a) |
(/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b (-.f64 (/.f64 (*.f64 b b) a) b)) a) b)) a)) a) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(* -1 (/ (- (* 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 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 (*.f64 b b) a) b) #s(literal 1/2 binary64)) a) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b (-.f64 (/.f64 (*.f64 b b) a) b)) a) b)) a)) a) |
(* a b) |
(*.f64 a b) |
(* a (+ a b)) |
(*.f64 a (+.f64 a b)) |
(* a (+ a b)) |
(*.f64 a (+.f64 a b)) |
(* a (+ a b)) |
(*.f64 a (+.f64 a b)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (/ b a))) |
(*.f64 a (+.f64 a b)) |
(* (pow a 2) (+ 1 (/ b a))) |
(*.f64 a (+.f64 a b)) |
(* (pow a 2) (+ 1 (/ b a))) |
(*.f64 a (+.f64 a b)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (/ b a))) |
(*.f64 a (+.f64 a b)) |
(* (pow a 2) (+ 1 (/ b a))) |
(*.f64 a (+.f64 a b)) |
(* (pow a 2) (+ 1 (/ b a))) |
(*.f64 a (+.f64 a b)) |
(pow a 2) |
(*.f64 a a) |
(+ (* a b) (pow a 2)) |
(*.f64 a (+.f64 a b)) |
(+ (* a b) (pow a 2)) |
(*.f64 a (+.f64 a b)) |
(+ (* a b) (pow a 2)) |
(*.f64 a (+.f64 a b)) |
(* a b) |
(*.f64 a b) |
(* b (+ a (/ (pow a 2) b))) |
(*.f64 a (+.f64 a b)) |
(* b (+ a (/ (pow a 2) b))) |
(*.f64 a (+.f64 a b)) |
(* b (+ a (/ (pow a 2) b))) |
(*.f64 a (+.f64 a b)) |
(* a b) |
(*.f64 a b) |
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b))))) |
(*.f64 a (+.f64 a b)) |
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b))))) |
(*.f64 a (+.f64 a b)) |
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b))))) |
(*.f64 a (+.f64 a b)) |
Compiled 37 905 to 3 587 computations (90.5% saved)
21 alts after pruning (17 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 387 | 11 | 2 398 |
| Fresh | 7 | 6 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 2 397 | 21 | 2 418 |
| Status | Accuracy | Program |
|---|---|---|
| 97.4% | (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) a) b) | |
| 61.2% | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b b)) a) | |
| 67.0% | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)) b) | |
| 67.0% | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (*.f64 b a)) | |
| 55.0% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) a) | |
| 52.5% | (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 a a)) | |
| 66.8% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) b)) | |
| 52.2% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)) | |
| ✓ | 96.4% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
| 61.2% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b))) | |
| ✓ | 54.7% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
| 54.7% | (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 b a)) (PI.f64))) | |
| 66.8% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) b)) | |
| 99.0% | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (PI.f64)))) | |
| 66.8% | (/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (neg.f64 (*.f64 b a))) (PI.f64))) | |
| 67.0% | (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b)) | |
| ✓ | 52.5% | (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
| 52.5% | (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) | |
| 66.7% | (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64)) | |
| 96.3% | (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)) | |
| ✓ | 54.7% | (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) |
Compiled 1 053 to 357 computations (66.1% saved)
| Inputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64)) |
(/.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 (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 (*.f64 a a) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (PI.f64) b)) |
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 b a)) (PI.f64))) |
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 a a)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 b a)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) 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)) b) (*.f64 b a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)) b) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b b)) a) |
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (neg.f64 (*.f64 b a))) (PI.f64))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (PI.f64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) (*.f64 b a)) |
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64)))) a) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (+.f64 b a))) b) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 b a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 b b))) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 a a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a) |
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a))) |
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) a) b) |
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) b) a) |
(*.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) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 a (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))))) |
(/.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 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 (-.f64 b a) (*.f64 b a))) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (*.f64 b a)) |
(/.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (-.f64 b a) (+.f64 b a))) |
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (/.f64 (-.f64 b a) (*.f64 b a)))) |
(*.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (-.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 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) b) (/.f64 (-.f64 b a) 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 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) 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))) |
(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 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b))) |
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
3 calls:
| 17.0ms | a |
| 17.0ms | b |
| 16.0ms | (*.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 |
|---|---|---|
| 99.7% | 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 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64)) |
(/.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 (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 (*.f64 a a) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (PI.f64) b)) |
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 b a)) (PI.f64))) |
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 a a)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 b a)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) 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)) b) (*.f64 b a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)) b) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b b)) a) |
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (neg.f64 (*.f64 b a))) (PI.f64))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (PI.f64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) (*.f64 b a)) |
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64)))) a) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (+.f64 b a))) b) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 b a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 b b))) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 a a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
3 calls:
| 14.0ms | (*.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))) |
| 10.0ms | a |
| 10.0ms | 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 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64)) |
(/.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 (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 (*.f64 a a) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (PI.f64) b)) |
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 b a)) (PI.f64))) |
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 a a)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 b a)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) 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)) b) (*.f64 b a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)) b) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b b)) a) |
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (neg.f64 (*.f64 b a))) (PI.f64))) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
3 calls:
| 20.0ms | (*.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))) |
| 7.0ms | b |
| 7.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | a |
| 96.4% | 1 | b |
| 96.4% | 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 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64)) |
(/.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 (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 (*.f64 a a) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (PI.f64) b)) |
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 b a)) (PI.f64))) |
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 a a)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 b a)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) 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)) b) (*.f64 b a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)) b) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) a) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
1 calls:
| 9.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 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 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64)) |
(/.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 (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 (*.f64 a a) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (PI.f64) b)) |
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 b a)) (PI.f64))) |
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 a a)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 b a)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
1 calls:
| 6.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 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 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64)) |
(/.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 (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 (*.f64 a a) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)) |
1 calls:
| 4.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 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 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64)) |
(/.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 (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 (*.f64 a a) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) b)) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) b)) |
3 calls:
| 6.0ms | a |
| 3.0ms | 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 |
|---|---|---|
| 69.6% | 2 | (*.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))) |
| 87.4% | 2 | b |
| 91.2% | 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 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64)) |
(/.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 (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 (*.f64 a a) b)) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64)) |
1 calls:
| 3.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.2% | 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 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64)) |
1 calls:
| 2.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.1% | 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 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) |
3 calls:
| 4.0ms | b |
| 2.0ms | a |
| 2.0ms | (*.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 |
|---|---|---|
| 54.7% | 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))) |
| 54.7% | 1 | b |
| 54.7% | 1 | a |
Compiled 29 to 19 computations (34.5% 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:
| 1.0ms | a |
| 1.0ms | b |
| 1.0ms | (*.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 |
|---|---|---|
| 52.1% | 1 | b |
| 52.1% | 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))) |
| 52.1% | 1 | a |
Compiled 29 to 19 computations (34.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | -5.4736061094992174e+88 | -6.589998262771602e+85 |
| 11.0ms | 128× | 0 | valid |
Compiled 234 to 172 computations (26.5% saved)
ival-div: 4.0ms (48.2% of total)ival-mult: 3.0ms (36.1% of total)ival-pi: 1.0ms (12% of total)ival-sub: 1.0ms (12% 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 |
|---|---|---|
| 18.0ms | -2.6222145905465517e+94 | -5.978764419048294e+90 |
| 11.0ms | 128× | 0 | valid |
Compiled 234 to 172 computations (26.5% saved)
ival-div: 4.0ms (48.2% of total)ival-mult: 3.0ms (36.2% of total)ival-pi: 1.0ms (12.1% of total)ival-sub: 1.0ms (12.1% 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 |
|---|---|---|
| 19.0ms | -2.391732244525728e+156 | -3.545237401546383e+153 |
| 15.0ms | 128× | 0 | valid |
Compiled 234 to 172 computations (26.5% saved)
ival-mult: 6.0ms (49.4% of total)ival-div: 4.0ms (32.9% of total)ival-sub: 1.0ms (8.2% 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× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 4.0ms | -9.598343337589903e+109 | -3.412189213367623e+108 |
| 3.0ms | 32× | 0 | valid |
Compiled 78 to 58 computations (25.6% saved)
ival-div: 1.0ms (48.6% of total)ival-mult: 1.0ms (48.6% of total)ival-pi: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | -6.890572038270432e-55 | -9.849685532337754e-56 |
| 9.0ms | 96× | 0 | valid |
Compiled 170 to 128 computations (24.7% saved)
ival-div: 3.0ms (45.2% of total)ival-mult: 2.0ms (30.1% of total)ival-sub: 1.0ms (15.1% 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 |
|---|---|---|
| 14.0ms | -6.890572038270432e-55 | -9.849685532337754e-56 |
| 10.0ms | 96× | 0 | valid |
Compiled 170 to 128 computations (24.7% saved)
ival-div: 4.0ms (50% of total)ival-mult: 2.0ms (25% of total)ival-sub: 1.0ms (12.5% 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 |
|---|---|---|
| 12.0ms | -6.890572038270432e-55 | -9.849685532337754e-56 |
| 8.0ms | 96× | 0 | valid |
Compiled 170 to 128 computations (24.7% saved)
ival-div: 3.0ms (48.1% of total)ival-mult: 2.0ms (32.1% of total)ival-sub: 1.0ms (16% 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× | egg-herbie |
| 30× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 204 |
| 1 | 78 | 204 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(if (<=.f64 a #s(literal -54000000000000003109044314978072576250460291069771925224617597156418886204170142855725056 binary64)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))) |
(if (<=.f64 a #s(literal -25999999999999999043552115068407320281269896292368080747726394541208884424895196742038084124672 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))) |
(if (<=.f64 a #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))) |
(if (<=.f64 a #s(literal -50000000000000001178468375708512791662476639752844093156495626963414083423308086629915468079622475513115705344 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))) |
(if (<=.f64 a #s(literal -7039781273726375/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) b))) |
(if (<=.f64 a #s(literal -4693187515817583/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64))) |
(if (<=.f64 a #s(literal -8558165470020299/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(if (<=.f64 a #s(literal -54000000000000003109044314978072576250460291069771925224617597156418886204170142855725056 binary64)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))) |
(if (<=.f64 a #s(literal -25999999999999999043552115068407320281269896292368080747726394541208884424895196742038084124672 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))) |
(if (<=.f64 a #s(literal -25999999999999999043552115068407320281269896292368080747726394541208884424895196742038084124672 binary64)) (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))) |
(if (<=.f64 a #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))) |
(if (<=.f64 a #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 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 -50000000000000001178468375708512791662476639752844093156495626963414083423308086629915468079622475513115705344 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))) |
(if (<=.f64 a #s(literal -50000000000000001178468375708512791662476639752844093156495626963414083423308086629915468079622475513115705344 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 a (+.f64 b a)))))) |
(if (<=.f64 a #s(literal -7039781273726375/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) b))) |
(if (<=.f64 a #s(literal -7039781273726375/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) (/.f64 (*.f64 (PI.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 -4693187515817583/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64))) |
(if (<=.f64 a #s(literal -4693187515817583/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) (/.f64 (*.f64 (PI.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 -8558165470020299/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64))) |
(if (<=.f64 a #s(literal -8558165470020299/27606985387162255149739023449108101809804435888681546220650096895197184 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))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) |
(*.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 a a)))) |
| 12 618× | accelerator-lowering-fma.f32 |
| 12 618× | accelerator-lowering-fma.f64 |
| 8 164× | accelerator-lowering-fma.f32 |
| 8 164× | accelerator-lowering-fma.f64 |
| 6 700× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 213 |
| 1 | 245 | 165 |
| 2 | 2550 | 165 |
| 0 | 8397 | 165 |
| 0 | 291 | 1696 |
| 1 | 768 | 1666 |
| 2 | 2295 | 1612 |
| 3 | 6383 | 1612 |
| 0 | 8341 | 1525 |
| 0 | 24 | 112 |
| 1 | 155 | 112 |
| 2 | 1191 | 112 |
| 0 | 8092 | 112 |
| 0 | 387 | 3846 |
| 1 | 1081 | 3796 |
| 2 | 2906 | 3636 |
| 3 | 6445 | 3618 |
| 0 | 8292 | 3496 |
| 0 | 21 | 109 |
| 1 | 140 | 109 |
| 2 | 1127 | 109 |
| 0 | 8520 | 109 |
| 0 | 15 | 49 |
| 1 | 113 | 49 |
| 2 | 1112 | 49 |
| 0 | 9190 | 49 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 637 to 375 computations (41.1% saved)
(sort a b)
Compiled 518 to 188 computations (63.7% saved)
Loading profile data...