
Time bar (total: 14.7s)
| 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)
| 963.0ms | 8 256× | 0 | valid |
ival-div: 277.0ms (41.5% of total)ival-mult: 249.0ms (37.3% of total)ival-sub: 72.0ms (10.8% of total)ival-pi: 51.0ms (7.6% of total)exact: 9.0ms (1.3% of total)ival-true: 6.0ms (0.9% 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 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a 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 |
|---|---|---|---|---|---|
| 34 | 0 | - | 2 | (-3.2074175672754444e+158 -2.4549739007002505e-32) | (*.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))) |
| 16 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 a a)) |
| 3 | 2 | (-1.1250470507930536e-237 1.4108269347377866e+161) | 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 | 32 | 0 |
-.f64 | (-.f64 (*.f64 b b) (*.f64 a a)) | nan-rescue | 16 | 0 |
| ↳ | (*.f64 b b) | overflow | 79 | |
| ↳ | (*.f64 a a) | overflow | 66 | |
/.f64 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) | n/o | 5 | 0 |
| ↳ | (*.f64 b b) | overflow | 79 | |
| ↳ | (*.f64 a a) | overflow | 66 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 a a)) | overflow | 129 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 50 | 7 |
| - | 3 | 196 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 50 | 0 | 7 |
| - | 3 | 0 | 196 |
| number | freq |
|---|---|
| 0 | 203 |
| 1 | 53 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 82.0ms | 512× | 0 | valid |
Compiled 204 to 64 computations (68.6% saved)
ival-sub: 31.0ms (51.2% of total)ival-div: 15.0ms (24.8% of total)ival-mult: 11.0ms (18.2% of total)ival-pi: 2.0ms (3.3% of total)exact: 1.0ms (1.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 19 to 12 computations (36.8% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 79.3% | (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) |
| ▶ | 79.2% | (*.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))) |
Compiled 42 to 27 computations (35.7% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) a) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) #s(literal 2 binary64)) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
| ✓ | cost-diff | 128 | (*.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))) |
| 35 764× | accelerator-lowering-fma.f32 |
| 35 764× | accelerator-lowering-fma.f64 |
| 5 458× | *-lowering-*.f32 |
| 5 458× | *-lowering-*.f64 |
| 1 496× | neg-lowering-neg.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 137 |
| 1 | 47 | 131 |
| 2 | 134 | 131 |
| 3 | 491 | 127 |
| 4 | 1862 | 127 |
| 5 | 5109 | 127 |
| 0 | 8234 | 127 |
| 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) |
(/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (- (* b b) (* a a))) |
(/ (- (/ (PI) a) (/ (PI) b)) 2) |
(- (/ (PI) a) (/ (PI) b)) |
(/ (PI) a) |
(PI) |
a |
(/ (PI) b) |
b |
2 |
(- (* b b) (* a a)) |
(* b b) |
(* a a) |
| Outputs |
|---|
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) |
(*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) |
(* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) |
(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(/ (PI) 2) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI) |
(PI.f64) |
2 |
#s(literal 2 binary64) |
(/ 1 (- (* b b) (* a a))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (+.f64 b a)) |
1 |
#s(literal 1 binary64) |
(- (* b b) (* a a)) |
(-.f64 (*.f64 b b) (*.f64 a 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) |
(/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (- (* b b) (* a a))) |
(*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) |
(/ (- (/ (PI) a) (/ (PI) b)) 2) |
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) |
(- (/ (PI) a) (/ (PI) b)) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(/ (PI) a) |
(/.f64 (PI.f64) a) |
(PI) |
(PI.f64) |
a |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
b |
2 |
#s(literal 2 binary64) |
(- (* b b) (* a a)) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(* b b) |
(*.f64 b b) |
(* a a) |
(*.f64 a a) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (/.f64 (PI.f64) b) |
| ✓ | accuracy | 99.5% | (/.f64 (PI.f64) a) |
| ✓ | accuracy | 94.2% | (-.f64 (*.f64 b b) (*.f64 a a)) |
| ✓ | accuracy | 88.3% | (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) |
| ✓ | accuracy | 94.2% | (-.f64 (*.f64 b b) (*.f64 a a)) |
| ✓ | accuracy | 88.6% | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 44.0ms | 256× | 0 | valid |
Compiled 135 to 22 computations (83.7% saved)
ival-div: 19.0ms (62.7% of total)ival-mult: 7.0ms (23.1% of total)ival-sub: 3.0ms (9.9% of total)ival-pi: 1.0ms (3.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))> |
#<alt (* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))> |
#<alt (/ (PI) 2)> |
#<alt (PI)> |
#<alt (/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (- (* b b) (* a a)))> |
#<alt (/ (- (/ (PI) a) (/ (PI) b)) 2)> |
#<alt (- (/ (PI) a) (/ (PI) b))> |
#<alt (/ (PI) a)> |
#<alt (- (* b b) (* a a))> |
#<alt (/ 1 (- (* b b) (* a a)))> |
#<alt (/ (PI) b)> |
| 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 (* 1/2 (/ (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))> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)> |
#<alt (* -1/2 (/ (PI) b))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (* -1/2 (/ (PI) b))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (* -1/2 (/ (PI) b))> |
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)> |
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)> |
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (/ (PI) a)> |
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)> |
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)> |
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)> |
#<alt (* -1 (/ (PI) b))> |
#<alt (- (/ (PI) a) (/ (PI) b))> |
#<alt (- (/ (PI) a) (/ (PI) b))> |
#<alt (- (/ (PI) a) (/ (PI) b))> |
#<alt (* -1 (/ (PI) b))> |
#<alt (- (/ (PI) a) (/ (PI) b))> |
#<alt (- (/ (PI) a) (/ (PI) b))> |
#<alt (- (/ (PI) a) (/ (PI) b))> |
#<alt (* -1 (/ (PI) b))> |
#<alt (/ (- (/ (* b (PI)) a) (PI)) b)> |
#<alt (/ (- (/ (* b (PI)) a) (PI)) b)> |
#<alt (/ (- (/ (* b (PI)) a) (PI)) b)> |
#<alt (/ (PI) a)> |
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))> |
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))> |
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))> |
#<alt (/ (PI) a)> |
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))> |
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))> |
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<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))> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | 0 | (- (* b b) (* a a)) |
| 1.0ms | b | @ | 0 | (/ (- (/ (PI) a) (/ (PI) b)) 2) |
| 1.0ms | b | @ | 0 | (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) |
| 1.0ms | b | @ | 0 | (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) |
| 1.0ms | a | @ | inf | (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) |
| 1× | batch-egg-rewrite |
| 4 872× | *-lowering-*.f32 |
| 4 872× | *-lowering-*.f64 |
| 4 358× | /-lowering-/.f32 |
| 4 358× | /-lowering-/.f64 |
| 2 280× | accelerator-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 91 |
| 1 | 159 | 87 |
| 2 | 1734 | 87 |
| 0 | 8425 | 87 |
| 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) |
(/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (- (* b b) (* a a))) |
(/ (- (/ (PI) a) (/ (PI) b)) 2) |
(- (/ (PI) a) (/ (PI) b)) |
(/ (PI) a) |
(- (* b b) (* a a)) |
(/ 1 (- (* b b) (* a a))) |
(/ (PI) b) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 #s(literal 1 binary64) a)) (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 #s(literal -1 binary64) b))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (/.f64 (/.f64 (PI.f64) b) (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) a)) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) b)) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) b) (*.f64 b a)) (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 (PI.f64) a) (*.f64 b a)) (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 a (*.f64 a a))) (+.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) (PI.f64)) a) (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))) (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) (PI.f64)) a) (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))) (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) (PI.f64)) a) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (/.f64 b (PI.f64)) b)) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) a)) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) b)) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))))) |
(-.f64 (/.f64 (*.f64 (PI.f64) b) (*.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (*.f64 b a))) (/.f64 (*.f64 (PI.f64) a) (*.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (*.f64 b a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal -2 binary64))) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))))) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (neg.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal -2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) (PI.f64)) a) (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) (PI.f64)) a) (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) (PI.f64)) a) (*.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) (/.f64 (/.f64 (PI.f64) (*.f64 (/.f64 b (PI.f64)) b)) (*.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))) |
(fma.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 #s(literal -1 binary64) b))) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))))) |
(neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal -2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) |
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 (*.f64 b b) (*.f64 a a))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))) #s(literal 1 binary64)))) |
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(/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 b b))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a))))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a)))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a))))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a)))))) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a))))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 a a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (*.f64 b b) (*.f64 a a))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 a a)))) (+.f64 (*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (*.f64 b b) (*.f64 a a))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b b) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a a) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 b b) #s(literal 1 binary64)) (/.f64 (*.f64 b b) #s(literal 1 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 a a) #s(literal 1 binary64)) (/.f64 (*.f64 a a) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 b b) #s(literal 1 binary64)) (/.f64 (*.f64 a a) #s(literal 1 binary64)))))) |
(pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)) |
(*.f64 (-.f64 b a) (+.f64 b a)) |
(*.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a)))))) |
(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a a)))) |
(*.f64 (+.f64 b a) (-.f64 b a)) |
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b b) (*.f64 a a))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b 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))) (neg.f64 (-.f64 b a))) |
(pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (*.f64 b b) (*.f64 a a))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (-.f64 (*.f64 b b) (*.f64 a a)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 b a))) |
(*.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1/2 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 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 b b) (*.f64 a a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a a))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (/.f64 (PI.f64) b))) |
(exp.f64 (*.f64 (log.f64 (/.f64 b (PI.f64))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b))) |
(/.f64 (PI.f64) b) |
(/.f64 #s(literal 1 binary64) (/.f64 b (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (PI.f64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b (PI.f64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (PI.f64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b (PI.f64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (neg.f64 (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b)))) |
(pow.f64 (/.f64 b (PI.f64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 b (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (PI.f64)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) b)) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) b)) |
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) b)) |
| 1× | egg-herbie |
| 12 726× | accelerator-lowering-fma.f32 |
| 12 726× | accelerator-lowering-fma.f64 |
| 5 552× | *-lowering-*.f32 |
| 5 552× | *-lowering-*.f64 |
| 2 106× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 303 | 2686 |
| 1 | 798 | 2643 |
| 2 | 2347 | 2553 |
| 3 | 6483 | 2553 |
| 0 | 8195 | 2428 |
| 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)) |
(* 1/2 (/ (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)) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a) |
(/ (+ (* -1/2 (/ (* a (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 (/ (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)) (* 1/2 (/ (* b (PI)) a))) b) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) 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) 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))) |
(/ (PI) a) |
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a) |
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a) |
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a) |
(* -1 (/ (PI) b)) |
(- (/ (PI) a) (/ (PI) b)) |
(- (/ (PI) a) (/ (PI) b)) |
(- (/ (PI) a) (/ (PI) b)) |
(* -1 (/ (PI) b)) |
(- (/ (PI) a) (/ (PI) b)) |
(- (/ (PI) a) (/ (PI) b)) |
(- (/ (PI) a) (/ (PI) b)) |
(* -1 (/ (PI) b)) |
(/ (- (/ (* b (PI)) a) (PI)) b) |
(/ (- (/ (* b (PI)) a) (PI)) b) |
(/ (- (/ (* b (PI)) a) (PI)) b) |
(/ (PI) a) |
(+ (* -1 (/ (PI) b)) (/ (PI) a)) |
(+ (* -1 (/ (PI) b)) (/ (PI) a)) |
(+ (* -1 (/ (PI) b)) (/ (PI) a)) |
(/ (PI) a) |
(+ (* -1 (/ (PI) b)) (/ (PI) a)) |
(+ (* -1 (/ (PI) b)) (/ (PI) a)) |
(+ (* -1 (/ (PI) b)) (/ (PI) a)) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(* -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)) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
| Outputs |
|---|
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) 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 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 a (*.f64 a (*.f64 a a))))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 a (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (/.f64 b (pow.f64 a #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a (*.f64 a a))))))))) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.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 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 (/.f64 (PI.f64) b) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) 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 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) a) (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))) (/.f64 (PI.f64) b)))) (*.f64 b b)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))) b)) b)) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (+.f64 (*.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 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (/.f64 (*.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b)) (*.f64 b b))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (*.f64 a (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b (*.f64 b (*.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 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (*.f64 a (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 b b)) (*.f64 a (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 a #s(literal -1/2 binary64))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 b (*.f64 b b))))))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.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 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) b) a) #s(literal -1/2 binary64)))) (*.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 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (*.f64 (PI.f64) (/.f64 b (*.f64 a a))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (PI.f64) a)))) (*.f64 a a)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.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 (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (*.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))) 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 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) a) (*.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) a) (*.f64 (PI.f64) #s(literal -1/2 binary64))) a)) (*.f64 a a)) |
(* -1/2 (/ (PI) (pow a 2))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4)))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))))) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6)))))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) (pow.f64 a #s(literal 6 binary64))))) (/.f64 (PI.f64) (*.f64 a a)))) |
(+ (* -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)))))))) |
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a) (*.f64 (*.f64 b b) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b b) (+.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) (pow.f64 a #s(literal 8 binary64))))))))) |
(* 1/2 (/ (PI) (pow b 2))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) |
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 a a)) b) b))) (*.f64 b b)) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (+.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(/ (+ (* 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)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) (pow.f64 b #s(literal 6 binary64))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))))) (*.f64 b b)) |
(* 1/2 (/ (PI) (pow b 2))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) |
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 a a)) b) b))) (*.f64 b b)) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (+.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(/ (+ (* 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)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) (pow.f64 b #s(literal 6 binary64))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))))) (*.f64 b b)) |
(* 1/2 (/ (PI) (pow b 2))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6)))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 b b)) (*.f64 (*.f64 a a) (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))))))) |
(+ (* 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)))))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (+.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) (pow.f64 b #s(literal 8 binary64))))))))) |
(* -1/2 (/ (PI) (pow a 2))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a) |
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2)) |
(*.f64 (+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) (*.f64 a a))) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))))) (*.f64 a a)) |
(/ (+ (* -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)) |
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(-.f64 #s(literal 0 binary64) (*.f64 a a)) |
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) |
(*.f64 (*.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) |
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) |
(*.f64 (*.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) |
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) |
(*.f64 (*.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) |
(/ -1 (pow a 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 a a)) |
(- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2))) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 a a)) |
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) |
(+.f64 (*.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 b b) (pow.f64 a #s(literal 6 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 a a))) |
(- (* (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))) |
(+.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 6 binary64))) (/.f64 (*.f64 b b) (pow.f64 a #s(literal 8 binary64)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 a a))) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))) (*.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) (+.f64 (/.f64 (*.f64 a 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 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (/.f64 (*.f64 a 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 a 2) (pow b 2))) (pow b 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))) (*.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) (+.f64 (/.f64 (*.f64 a 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 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (/.f64 (*.f64 a 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 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))) (*.f64 b b)) |
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2))) |
(+.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))) (*.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))) |
(+.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 8 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))) (*.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 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 a a)) |
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 b 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) (+.f64 (/.f64 (*.f64 b 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 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 a a)) |
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 b 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) (+.f64 (/.f64 (*.f64 b 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)) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
Compiled 33 825 to 3 242 computations (90.4% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 137 | 15 | 1 152 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 1 138 | 16 | 1 154 |
| Status | Accuracy | Program |
|---|---|---|
| 69.7% | (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (PI.f64) b) (*.f64 (PI.f64) a)) a) b) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) | |
| ▶ | 99.7% | (/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (+.f64 b a)) (-.f64 b a)) |
| 52.1% | (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b) | |
| ✓ | 79.3% | (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) |
| 49.7% | (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a a))) | |
| 55.5% | (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (*.f64 b b)) | |
| 54.7% | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (-.f64 (*.f64 b b) (*.f64 a a))) | |
| ▶ | 61.1% | (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b)) |
| 79.2% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) | |
| ▶ | 55.5% | (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b)) |
| 45.0% | (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a)) | |
| 88.5% | (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) | |
| ▶ | 99.7% | (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
| ▶ | 55.5% | (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (pow.f64 (/.f64 (-.f64 b a) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))) #s(literal -1 binary64))) | |
| 79.2% | (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
Compiled 541 to 364 computations (32.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (+.f64 b a)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (+.f64 b a)) (-.f64 b a)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b 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)) a) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b)) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) a) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
| 10 944× | accelerator-lowering-fma.f32 |
| 10 944× | accelerator-lowering-fma.f64 |
| 4 198× | *-lowering-*.f32 |
| 4 198× | *-lowering-*.f64 |
| 1 822× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 229 |
| 1 | 85 | 229 |
| 2 | 232 | 229 |
| 3 | 627 | 229 |
| 4 | 1565 | 229 |
| 5 | 4463 | 229 |
| 0 | 8122 | 229 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) (/ 1/2 (- b a))) |
(/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) |
(- (/ (PI) a) (/ (PI) b)) |
(/ (PI) a) |
(PI) |
a |
(/ (PI) b) |
b |
(+ b a) |
(/ 1/2 (- b a)) |
1/2 |
(- b a) |
(/ (/ (* 1/2 (PI)) a) (* b b)) |
(/ (* 1/2 (PI)) a) |
(* 1/2 (PI)) |
1/2 |
(PI) |
a |
(* b b) |
b |
(/ (* (PI) (+ (/ -1/2 b) (/ 1/2 a))) (* b b)) |
(* (PI) (+ (/ -1/2 b) (/ 1/2 a))) |
(PI) |
(+ (/ -1/2 b) (/ 1/2 a)) |
(/ -1/2 b) |
-1/2 |
b |
(/ 1/2 a) |
1/2 |
a |
(* b b) |
(* (/ (* 1/2 (PI)) (* b b)) (- (/ 1 a) (/ 1 b))) |
(/ (* 1/2 (PI)) (* b b)) |
(* 1/2 (PI)) |
1/2 |
(PI) |
(* b b) |
b |
(- (/ 1 a) (/ 1 b)) |
(/ 1 a) |
1 |
a |
(/ 1 b) |
(/ (/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a)) (- b a)) |
(/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a)) |
(/ (- (/ (PI) a) (/ (PI) b)) 2) |
(- (/ (PI) a) (/ (PI) b)) |
(/ (PI) a) |
(PI) |
a |
(/ (PI) b) |
b |
2 |
(+ b a) |
(- b a) |
| Outputs |
|---|
(* (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) (/ 1/2 (- b a))) |
(/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (-.f64 b a)) (+.f64 a b)) |
(/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) |
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) |
(- (/ (PI) a) (/ (PI) b)) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(/ (PI) a) |
(/.f64 (PI.f64) a) |
(PI) |
(PI.f64) |
a |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
b |
(+ b a) |
(+.f64 a b) |
(/ 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 (PI)) a) (* b b)) |
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) b) a) |
(/ (* 1/2 (PI)) a) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) |
(* 1/2 (PI)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(PI) |
(PI.f64) |
a |
(* b b) |
(*.f64 b b) |
b |
(/ (* (PI) (+ (/ -1/2 b) (/ 1/2 a))) (* b b)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b)) |
(* (PI) (+ (/ -1/2 b) (/ 1/2 a))) |
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) |
(PI) |
(PI.f64) |
(+ (/ -1/2 b) (/ 1/2 a)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.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 |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
1/2 |
#s(literal 1/2 binary64) |
a |
(* b b) |
(*.f64 b b) |
(* (/ (* 1/2 (PI)) (* b b)) (- (/ 1 a) (/ 1 b))) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b)) |
(/ (* 1/2 (PI)) (* b b)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) b) |
(* 1/2 (PI)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(PI) |
(PI.f64) |
(* b b) |
(*.f64 b b) |
b |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
1 |
#s(literal 1 binary64) |
a |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ (/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a)) (- b a)) |
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) #s(literal 2 binary64)))) |
(/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a)) |
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 a b) #s(literal 2 binary64))) |
(/ (- (/ (PI) a) (/ (PI) b)) 2) |
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) |
(- (/ (PI) a) (/ (PI) b)) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(/ (PI) a) |
(/.f64 (PI.f64) a) |
(PI) |
(PI.f64) |
a |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
b |
2 |
#s(literal 2 binary64) |
(+ b a) |
(+.f64 a b) |
(- b a) |
(-.f64 b a) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (+.f64 b a)) (-.f64 b a)) |
| ✓ | accuracy | 99.7% | (/.f64 (PI.f64) b) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (+.f64 b a)) |
| ✓ | accuracy | 99.5% | (/.f64 (PI.f64) a) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) |
| ✓ | accuracy | 93.8% | (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) |
| ✓ | accuracy | 99.5% | (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) |
| ✓ | accuracy | 93.6% | (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (PI.f64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
| ✓ | accuracy | 88.2% | (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
| ✓ | accuracy | 99.7% | (/.f64 (PI.f64) b) |
| ✓ | accuracy | 99.7% | (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) |
| ✓ | accuracy | 99.5% | (/.f64 (PI.f64) a) |
| 70.0ms | 256× | 0 | valid |
Compiled 233 to 34 computations (85.4% saved)
ival-div: 34.0ms (71.1% of total)ival-mult: 7.0ms (14.6% of total)ival-sub: 3.0ms (6.3% of total)ival-add: 2.0ms (4.2% of total)ival-pi: 1.0ms (2.1% of total)exact: 1.0ms (2.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) (/ 1/2 (- b a)))> |
#<alt (/ (- (/ (PI) a) (/ (PI) b)) (+ b a))> |
#<alt (- (/ (PI) a) (/ (PI) b))> |
#<alt (/ (PI) a)> |
#<alt (/ (/ (* 1/2 (PI)) a) (* b b))> |
#<alt (/ (* 1/2 (PI)) a)> |
#<alt (* 1/2 (PI))> |
#<alt (PI)> |
#<alt (/ (* (PI) (+ (/ -1/2 b) (/ 1/2 a))) (* b b))> |
#<alt (* (PI) (+ (/ -1/2 b) (/ 1/2 a)))> |
#<alt (+ (/ -1/2 b) (/ 1/2 a))> |
#<alt (* (/ (* 1/2 (PI)) (* b b)) (- (/ 1 a) (/ 1 b)))> |
#<alt (/ (* 1/2 (PI)) (* b b))> |
#<alt (/ (/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a)) (- b a))> |
#<alt (/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a))> |
#<alt (/ (- (/ (PI) a) (/ (PI) b)) 2)> |
#<alt (/ (PI) b)> |
#<alt (- (/ 1 a) (/ 1 b))> |
| Outputs |
|---|
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)> |
#<alt (/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)> |
#<alt (/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)> |
#<alt (* -1 (/ (PI) (* a b)))> |
#<alt (/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a)> |
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a)> |
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a)> |
#<alt (* -1 (/ (PI) (* a b)))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (PI) (* -1 (PI))) a)) (/ (PI) b)) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (PI) (* -1 (/ (* b (- (PI) (* -1 (PI)))) a))) (* -1 (PI))) a)) (/ (PI) b)) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (- (PI) (* -1 (PI)))) a)) (* -1 (* b (- (PI) (* -1 (PI)))))) a))) (* -1 (PI))) a)) (/ (PI) b)) a))> |
#<alt (* -1 (/ (PI) (* a b)))> |
#<alt (/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b)> |
#<alt (/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)> |
#<alt (/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b)> |
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b)> |
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b)> |
#<alt (/ (PI) (* a b))> |
#<alt (* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))> |
#<alt (* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))> |
#<alt (* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b))> |
#<alt (/ (PI) a)> |
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)> |
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)> |
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)> |
#<alt (* -1 (/ (PI) b))> |
#<alt (- (/ (PI) a) (/ (PI) b))> |
#<alt (- (/ (PI) a) (/ (PI) b))> |
#<alt (- (/ (PI) a) (/ (PI) b))> |
#<alt (* -1 (/ (PI) b))> |
#<alt (- (/ (PI) a) (/ (PI) b))> |
#<alt (- (/ (PI) a) (/ (PI) b))> |
#<alt (- (/ (PI) a) (/ (PI) b))> |
#<alt (* -1 (/ (PI) b))> |
#<alt (/ (- (/ (* b (PI)) a) (PI)) b)> |
#<alt (/ (- (/ (* b (PI)) a) (PI)) b)> |
#<alt (/ (- (/ (* b (PI)) a) (PI)) b)> |
#<alt (/ (PI) a)> |
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))> |
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))> |
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))> |
#<alt (/ (PI) a)> |
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))> |
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))> |
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) 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) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* -1/2 (/ (PI) (pow b 3)))> |
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))> |
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))> |
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))> |
#<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))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -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 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)> |
#<alt (* -1/2 (/ (PI) (pow b 3)))> |
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))> |
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))> |
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))> |
#<alt (* -1/2 (/ (PI) (pow b 3)))> |
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))> |
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))> |
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))> |
#<alt (* -1/2 (/ (PI) b))> |
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)> |
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)> |
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)> |
#<alt (* -1/2 (/ (PI) b))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (* -1/2 (/ (PI) b))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (/ -1/2 b)> |
#<alt (/ (- (* 1/2 (/ b a)) 1/2) b)> |
#<alt (/ (- (* 1/2 (/ b a)) 1/2) b)> |
#<alt (/ (- (* 1/2 (/ b a)) 1/2) b)> |
#<alt (/ 1/2 a)> |
#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))> |
#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))> |
#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))> |
#<alt (/ 1/2 a)> |
#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))> |
#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))> |
#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))> |
#<alt (/ 1/2 a)> |
#<alt (/ (+ 1/2 (* -1/2 (/ a b))) a)> |
#<alt (/ (+ 1/2 (* -1/2 (/ a b))) a)> |
#<alt (/ (+ 1/2 (* -1/2 (/ a b))) a)> |
#<alt (/ -1/2 b)> |
#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))> |
#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))> |
#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))> |
#<alt (/ -1/2 b)> |
#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))> |
#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))> |
#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))> |
#<alt (* -1/2 (/ (PI) (pow b 3)))> |
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))> |
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))> |
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))> |
#<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))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -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 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)> |
#<alt (* -1/2 (/ (PI) (pow b 3)))> |
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))> |
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))> |
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))> |
#<alt (* -1/2 (/ (PI) (pow b 3)))> |
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))> |
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))> |
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))> |
#<alt (* 1/2 (/ (PI) (pow b 2)))> |
#<alt (* 1/2 (/ (PI) (pow b 2)))> |
#<alt (* 1/2 (/ (PI) (pow b 2)))> |
#<alt (* 1/2 (/ (PI) (pow b 2)))> |
#<alt (* 1/2 (/ (PI) (pow b 2)))> |
#<alt (* 1/2 (/ (PI) (pow b 2)))> |
#<alt (* 1/2 (/ (PI) (pow b 2)))> |
#<alt (* 1/2 (/ (PI) (pow b 2)))> |
#<alt (* 1/2 (/ (PI) (pow b 2)))> |
#<alt (* 1/2 (/ (PI) (pow b 2)))> |
#<alt (* 1/2 (/ (PI) (pow b 2)))> |
#<alt (* 1/2 (/ (PI) (pow b 2)))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2))))) (* 1/2 (/ (PI) b))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) b)) (* a (+ (* 1/2 (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (* 1/2 (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2))))))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) b)) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (* a (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4))))) (* 1/2 (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))))))) a)> |
#<alt (* -1/2 (/ (PI) (* a b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (- (PI) (* -1 (PI))) a))) a)> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (* 1/2 (/ (- (PI) (* -1 (PI))) a)))) a)> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (+ (* 1/2 (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3))) (* 1/2 (/ (- (PI) (* -1 (PI))) a))))) a)> |
#<alt (* -1/2 (/ (PI) (* a b)))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (- (PI) (* -1 (PI))) a)) (* 1/2 (/ (PI) b))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (- (PI) (* -1 (PI)))) a)) (* 1/2 (- (PI) (* -1 (PI))))) a)) (* 1/2 (/ (PI) b))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (- (PI) (* -1 (PI)))) a)) (* 1/2 (* b (- (PI) (* -1 (PI)))))) a)) (* 1/2 (- (PI) (* -1 (PI))))) a)) (* 1/2 (/ (PI) b))) a))> |
#<alt (* -1/2 (/ (PI) (* a b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2))))))) b)> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* b (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3))))) (* 1/2 (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))))) b)> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* b (+ (* 1/2 (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2))))) (* b (+ (* 1/2 (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3))))))))) b)> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (PI)) b))) b)> |
#<alt (/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (PI)) b)))) b)> |
#<alt (/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3))) (* 1/2 (/ (- (* -1 (PI)) (PI)) b))))) b)> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (- (* -1 (PI)) (PI)) b))) b))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) b)) (* 1/2 (- (* -1 (PI)) (PI)))) b)) (* -1/2 (/ (PI) a))) b))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* 1/2 (* a (- (* -1 (PI)) (PI))))) b)) (* 1/2 (- (* -1 (PI)) (PI)))) b)) (* -1/2 (/ (PI) a))) b))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)> |
#<alt (* -1/2 (/ (PI) b))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (* -1/2 (/ (PI) b))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (* -1/2 (/ (PI) b))> |
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)> |
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)> |
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ 1 a)> |
#<alt (/ (+ 1 (* -1 (/ a b))) a)> |
#<alt (/ (+ 1 (* -1 (/ a b))) a)> |
#<alt (/ (+ 1 (* -1 (/ a b))) a)> |
#<alt (/ -1 b)> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (/ -1 b)> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (/ -1 b)> |
#<alt (/ (- (/ b a) 1) b)> |
#<alt (/ (- (/ b a) 1) b)> |
#<alt (/ (- (/ b a) 1) b)> |
#<alt (/ 1 a)> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (/ 1 a)> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
84 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | a | @ | 0 | (/ (/ (* 1/2 (PI)) a) (* b b)) |
| 2.0ms | b | @ | -inf | (* (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) (/ 1/2 (- b a))) |
| 1.0ms | b | @ | 0 | (* (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) (/ 1/2 (- b a))) |
| 1.0ms | a | @ | 0 | (* (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) (/ 1/2 (- b a))) |
| 1.0ms | a | @ | inf | (* (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) (/ 1/2 (- b a))) |
| 1× | batch-egg-rewrite |
| 5 150× | /-lowering-/.f32 |
| 5 150× | /-lowering-/.f64 |
| 3 516× | *-lowering-*.f32 |
| 3 516× | *-lowering-*.f64 |
| 2 704× | accelerator-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 156 |
| 1 | 251 | 154 |
| 2 | 2788 | 154 |
| 0 | 8176 | 154 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) (/ 1/2 (- b a))) |
(/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) |
(- (/ (PI) a) (/ (PI) b)) |
(/ (PI) a) |
(/ (/ (* 1/2 (PI)) a) (* b b)) |
(/ (* 1/2 (PI)) a) |
(* 1/2 (PI)) |
(PI) |
(/ (* (PI) (+ (/ -1/2 b) (/ 1/2 a))) (* b b)) |
(* (PI) (+ (/ -1/2 b) (/ 1/2 a))) |
(+ (/ -1/2 b) (/ 1/2 a)) |
(* (/ (* 1/2 (PI)) (* b b)) (- (/ 1 a) (/ 1 b))) |
(/ (* 1/2 (PI)) (* b b)) |
(/ (/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a)) (- b a)) |
(/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a)) |
(/ (- (/ (PI) a) (/ (PI) b)) 2) |
(/ (PI) b) |
(- (/ 1 a) (/ 1 b)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 b a) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 a b) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (/.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64))) (/.f64 (/.f64 (PI.f64) b) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) b) (*.f64 a b)) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (PI.f64) a) (*.f64 a b)) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 a (*.f64 a a))) (+.f64 (/.f64 (PI.f64) (*.f64 a (/.f64 a (PI.f64)))) (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (PI.f64) (*.f64 a (/.f64 a (PI.f64)))) (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a (/.f64 a (PI.f64)))) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b (/.f64 b (PI.f64)))) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (-.f64 b a) (*.f64 (+.f64 a b) #s(literal 2 binary64)))) (/.f64 (/.f64 (PI.f64) b) (*.f64 (-.f64 b a) (*.f64 (+.f64 a b) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) b) (*.f64 a b)) (*.f64 (-.f64 b a) (*.f64 (+.f64 a b) #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 (PI.f64) a) (*.f64 a b)) (*.f64 (-.f64 b a) (*.f64 (+.f64 a b) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 a (*.f64 a a))) (+.f64 (/.f64 (PI.f64) (*.f64 a (/.f64 a (PI.f64)))) (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))) (*.f64 (-.f64 b a) (*.f64 (+.f64 a b) #s(literal 2 binary64)))) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (PI.f64) (*.f64 a (/.f64 a (PI.f64)))) (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))) (*.f64 (-.f64 b a) (*.f64 (+.f64 a b) #s(literal 2 binary64))))) |
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(/.f64 (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) #s(literal 1 binary64)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #s(literal 1 binary64)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) |
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(/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) (*.f64 (+.f64 a b) #s(literal 2 binary64))) |
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(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))) (-.f64 #s(literal 0 binary64) (-.f64 b a))) |
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(pow.f64 (*.f64 (/.f64 (/.f64 (*.f64 b b) #s(literal 1/2 binary64)) (PI.f64)) a) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 b b)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 a (*.f64 b b)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
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(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (-.f64 b a) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 a b) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 a b) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))) (-.f64 b a))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 b a) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 a b) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))) |
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(/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (-.f64 b a))) |
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(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a)) (+.f64 a b))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (neg.f64 (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a)) (-.f64 #s(literal 0 binary64) (+.f64 a b)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) (+.f64 a b))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b))) (*.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 a b)))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b))) (neg.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 a b))) |
(/.f64 (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 a b) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 b a)) |
(/.f64 (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 b a))) |
(/.f64 (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) #s(literal 1 binary64)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #s(literal 1 binary64)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 (neg.f64 (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b))) (-.f64 #s(literal 0 binary64) (+.f64 a b))) |
(/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) (*.f64 (+.f64 a b) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) (-.f64 #s(literal 0 binary64) (+.f64 a b))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (-.f64 #s(literal 0 binary64) (+.f64 a b))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))) (-.f64 #s(literal 0 binary64) (-.f64 b a))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))) (neg.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (neg.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a))) (neg.f64 (/.f64 (+.f64 a b) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (-.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 b b) (*.f64 a a)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)) (-.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)))) (neg.f64 (*.f64 (-.f64 b a) (-.f64 #s(literal 0 binary64) (+.f64 a b))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a)) (+.f64 a b)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (neg.f64 (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a)) (-.f64 #s(literal 0 binary64) (+.f64 a b))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) (neg.f64 (*.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) (+.f64 a b)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)))) (neg.f64 (*.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 a b))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 a b) #s(literal 2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) #s(literal -1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) #s(literal 1 binary64))) (neg.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #s(literal 1 binary64))) (neg.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 (neg.f64 (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))) (neg.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a)))) |
(pow.f64 (/.f64 (-.f64 b a) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 a b) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (+.f64 a b) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))) (-.f64 b a)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 b a) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 a b) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 a b) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))) |
(*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 a b))) |
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
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(/.f64 (/.f64 (-.f64 b a) a) b) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal -1 binary64)))) (neg.f64 (*.f64 a (-.f64 #s(literal 0 binary64) b)))) |
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) b))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 b a) a)) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a))))) |
(pow.f64 (/.f64 (*.f64 a b) (-.f64 b a)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (*.f64 a b))) |
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
| 1× | egg-herbie |
| 7 898× | accelerator-lowering-fma.f32 |
| 7 898× | accelerator-lowering-fma.f64 |
| 4 026× | *-lowering-*.f32 |
| 4 026× | *-lowering-*.f64 |
| 1 960× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 503 | 5678 |
| 1 | 1548 | 4972 |
| 2 | 5390 | 3958 |
| 0 | 8937 | 3833 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2)) |
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2)) |
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2)) |
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2)) |
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (PI) (* a b)) |
(/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a) |
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a) |
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a) |
(* -1 (/ (PI) (* a b))) |
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a) |
(* -1 (/ (PI) (* a b))) |
(* -1 (/ (+ (* -1 (/ (- (PI) (* -1 (PI))) a)) (/ (PI) b)) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (PI) (* -1 (/ (* b (- (PI) (* -1 (PI)))) a))) (* -1 (PI))) a)) (/ (PI) b)) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (- (PI) (* -1 (PI)))) a)) (* -1 (* b (- (PI) (* -1 (PI)))))) a))) (* -1 (PI))) a)) (/ (PI) b)) a)) |
(* -1 (/ (PI) (* a b))) |
(/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b) |
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b) |
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b) |
(/ (PI) (* a b)) |
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b) |
(/ (PI) (* a b)) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b)) |
(/ (PI) a) |
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a) |
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a) |
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a) |
(* -1 (/ (PI) b)) |
(- (/ (PI) a) (/ (PI) b)) |
(- (/ (PI) a) (/ (PI) b)) |
(- (/ (PI) a) (/ (PI) b)) |
(* -1 (/ (PI) b)) |
(- (/ (PI) a) (/ (PI) b)) |
(- (/ (PI) a) (/ (PI) b)) |
(- (/ (PI) a) (/ (PI) b)) |
(* -1 (/ (PI) b)) |
(/ (- (/ (* b (PI)) a) (PI)) b) |
(/ (- (/ (* b (PI)) a) (PI)) b) |
(/ (- (/ (* b (PI)) a) (PI)) b) |
(/ (PI) a) |
(+ (* -1 (/ (PI) b)) (/ (PI) a)) |
(+ (* -1 (/ (PI) b)) (/ (PI) a)) |
(+ (* -1 (/ (PI) b)) (/ (PI) a)) |
(/ (PI) a) |
(+ (* -1 (/ (PI) b)) (/ (PI) a)) |
(+ (* -1 (/ (PI) b)) (/ (PI) a)) |
(+ (* -1 (/ (PI) b)) (/ (PI) a)) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) 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) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* -1/2 (/ (PI) (pow b 3))) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3)) |
(* 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))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(* 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))) (pow b 2)) |
(/ (+ (* -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 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(* -1/2 (/ (PI) (pow b 3))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2))))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2))))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2))))) |
(* -1/2 (/ (PI) (pow b 3))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2))))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2))))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2))))) |
(* -1/2 (/ (PI) b)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) 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) 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 (/ (* a (PI)) b)) (* 1/2 (PI))) a) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a) |
(/ (+ (* -1/2 (/ (* a (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 (/ (PI) a))) |
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) |
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) |
(/ -1/2 b) |
(/ (- (* 1/2 (/ b a)) 1/2) b) |
(/ (- (* 1/2 (/ b a)) 1/2) b) |
(/ (- (* 1/2 (/ b a)) 1/2) b) |
(/ 1/2 a) |
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) |
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) |
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) |
(/ 1/2 a) |
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) |
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) |
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) |
(/ 1/2 a) |
(/ (+ 1/2 (* -1/2 (/ a b))) a) |
(/ (+ 1/2 (* -1/2 (/ a b))) a) |
(/ (+ 1/2 (* -1/2 (/ a b))) a) |
(/ -1/2 b) |
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) |
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) |
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) |
(/ -1/2 b) |
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) |
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) |
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) |
(* -1/2 (/ (PI) (pow b 3))) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3)) |
(* 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))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(* 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))) (pow b 2)) |
(/ (+ (* -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 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(* -1/2 (/ (PI) (pow b 3))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2))))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2))))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2))))) |
(* -1/2 (/ (PI) (pow b 3))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2))))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2))))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2))))) |
(* 1/2 (/ (PI) (pow b 2))) |
(* 1/2 (/ (PI) (pow b 2))) |
(* 1/2 (/ (PI) (pow b 2))) |
(* 1/2 (/ (PI) (pow b 2))) |
(* 1/2 (/ (PI) (pow b 2))) |
(* 1/2 (/ (PI) (pow b 2))) |
(* 1/2 (/ (PI) (pow b 2))) |
(* 1/2 (/ (PI) (pow b 2))) |
(* 1/2 (/ (PI) (pow b 2))) |
(* 1/2 (/ (PI) (pow b 2))) |
(* 1/2 (/ (PI) (pow b 2))) |
(* 1/2 (/ (PI) (pow b 2))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2)) |
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2)) |
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2)) |
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2)) |
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(* 1/2 (/ (PI) (* a b))) |
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2))))) (* 1/2 (/ (PI) b))) a) |
(/ (+ (* 1/2 (/ (PI) b)) (* a (+ (* 1/2 (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (* 1/2 (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2))))))) a) |
(/ (+ (* 1/2 (/ (PI) b)) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (* a (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4))))) (* 1/2 (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))))))) a) |
(* -1/2 (/ (PI) (* a b))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (- (PI) (* -1 (PI))) a))) a) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (* 1/2 (/ (- (PI) (* -1 (PI))) a)))) a) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (+ (* 1/2 (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3))) (* 1/2 (/ (- (PI) (* -1 (PI))) a))))) a) |
(* -1/2 (/ (PI) (* a b))) |
(* -1 (/ (+ (* -1/2 (/ (- (PI) (* -1 (PI))) a)) (* 1/2 (/ (PI) b))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (- (PI) (* -1 (PI)))) a)) (* 1/2 (- (PI) (* -1 (PI))))) a)) (* 1/2 (/ (PI) b))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (- (PI) (* -1 (PI)))) a)) (* 1/2 (* b (- (PI) (* -1 (PI)))))) a)) (* 1/2 (- (PI) (* -1 (PI))))) a)) (* 1/2 (/ (PI) b))) a)) |
(* -1/2 (/ (PI) (* a b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2))))))) b) |
(/ (+ (* -1/2 (/ (PI) a)) (* b (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3))))) (* 1/2 (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))))) b) |
(/ (+ (* -1/2 (/ (PI) a)) (* b (+ (* 1/2 (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2))))) (* b (+ (* 1/2 (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3))))))))) b) |
(* 1/2 (/ (PI) (* a b))) |
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (PI)) b))) b) |
(/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (PI)) b)))) b) |
(/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3))) (* 1/2 (/ (- (* -1 (PI)) (PI)) b))))) b) |
(* 1/2 (/ (PI) (* a b))) |
(* -1 (/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (- (* -1 (PI)) (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) b)) (* 1/2 (- (* -1 (PI)) (PI)))) b)) (* -1/2 (/ (PI) a))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* 1/2 (* a (- (* -1 (PI)) (PI))))) b)) (* 1/2 (- (* -1 (PI)) (PI)))) b)) (* -1/2 (/ (PI) a))) b)) |
(* 1/2 (/ (PI) a)) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a) |
(/ (+ (* -1/2 (/ (* a (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 (/ (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)) (* 1/2 (/ (* b (PI)) a))) b) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) 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) 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))) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ 1 a) |
(/ (+ 1 (* -1 (/ a b))) a) |
(/ (+ 1 (* -1 (/ a b))) a) |
(/ (+ 1 (* -1 (/ a b))) a) |
(/ -1 b) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(/ -1 b) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(/ -1 b) |
(/ (- (/ b a) 1) b) |
(/ (- (/ b a) 1) b) |
(/ (- (/ b a) 1) b) |
(/ 1 a) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(/ 1 a) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
| Outputs |
|---|
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (*.f64 a (/.f64 (PI.f64) (*.f64 b (*.f64 b b))))) (/.f64 (PI.f64) (*.f64 b b)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) (*.f64 a (+.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b b))) #s(literal 1/2 binary64))) (*.f64 a (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (pow.f64 b #s(literal 4 binary64))))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) (*.f64 a (+.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b b))) #s(literal 1/2 binary64))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (-.f64 (/.f64 (*.f64 a (/.f64 (PI.f64) (*.f64 b (*.f64 b b)))) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a)) |
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) a) a)) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) a) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (*.f64 b b))) (*.f64 a (*.f64 a a))))) (*.f64 a a)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) b)) a))) a)) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 b b))) a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b))) a)) a)) (*.f64 a a)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a)) |
(/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) (*.f64 b (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 a a)) a)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b) |
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 a a)) a)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))))))) b) |
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(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) |
(* 1/2 (/ (PI) (pow b 2))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) |
(* 1/2 (/ (PI) (pow b 2))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) |
(* 1/2 (/ (PI) (pow b 2))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
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(* 1/2 (/ (PI) (* (pow a 2) b))) |
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(* 1/2 (/ (PI) (* (pow a 2) b))) |
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(* 1/2 (/ (PI) (* a (pow b 2)))) |
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(* 1/2 (/ (PI) (* a b))) |
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(* 1/2 (/ (PI) (* a b))) |
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(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 (PI.f64) #s(literal -2 binary64)))) b) b) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 (PI.f64) #s(literal -2 binary64)))) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) b))))) b) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a) |
(* -1 (/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (- (* -1 (PI)) (PI)) b))) b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) a)) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) b)) (* 1/2 (- (* -1 (PI)) (PI)))) b)) (* -1/2 (/ (PI) a))) b)) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 (PI.f64) #s(literal -2 binary64)))) b) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -2 binary64)))) b)) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* 1/2 (* a (- (* -1 (PI)) (PI))))) b)) (* 1/2 (- (* -1 (PI)) (PI)))) b)) (* -1/2 (/ (PI) a))) b)) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -2 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (*.f64 (PI.f64) #s(literal -2 binary64))))) b) (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (PI.f64) #s(literal -2 binary64))))) b)) b)) (-.f64 #s(literal 0 binary64) b)) |
(* 1/2 (/ (PI) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) a)) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) a)) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) a)) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a) |
(* -1/2 (/ (PI) b)) |
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) |
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) |
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) |
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) |
(* -1/2 (/ (PI) b)) |
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) |
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) |
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) |
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) |
(* -1/2 (/ (PI) b)) |
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b) |
(/.f64 (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) a)) b) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b) |
(/.f64 (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) a)) b) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b) |
(/.f64 (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) a)) b) |
(* 1/2 (/ (PI) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) |
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) |
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) |
(* 1/2 (/ (PI) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) |
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) |
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ (+ 1 (* -1 (/ a b))) a) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) |
(/ (+ 1 (* -1 (/ a b))) a) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) |
(/ (+ 1 (* -1 (/ a b))) a) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) |
(/ -1 b) |
(/.f64 #s(literal -1 binary64) b) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(/ -1 b) |
(/.f64 #s(literal -1 binary64) b) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(/ -1 b) |
(/.f64 #s(literal -1 binary64) b) |
(/ (- (/ b a) 1) b) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) b) |
(/ (- (/ b a) 1) b) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) b) |
(/ (- (/ b a) 1) b) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) b) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(- (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
Compiled 44 102 to 4 882 computations (88.9% saved)
21 alts after pruning (20 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 957 | 17 | 1 974 |
| Fresh | 7 | 3 | 10 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 969 | 21 | 1 990 |
| Status | Accuracy | Program |
|---|---|---|
| 61.6% | (/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) b) b) | |
| 61.2% | (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) b) a) | |
| ▶ | 52.1% | (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b) |
| 67.3% | (/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) b) b) | |
| ✓ | 79.3% | (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) |
| 97.9% | (/.f64 (/.f64 (-.f64 (*.f64 (PI.f64) b) (*.f64 (PI.f64) a)) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (-.f64 b a)) | |
| ▶ | 65.5% | (/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) a) (-.f64 b a)) |
| 74.2% | (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a) (-.f64 b a)) | |
| 79.2% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) | |
| 61.7% | (/.f64 (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) b) | |
| 61.1% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b b)) | |
| 63.3% | (/.f64 (*.f64 (-.f64 b a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (*.f64 (*.f64 a b) b)) | |
| ▶ | 61.1% | (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) a)) |
| 45.0% | (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a)) | |
| 61.7% | (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) b)) (/.f64 b (PI.f64))) | |
| 51.9% | (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a)) | |
| 45.0% | (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 a a)) | |
| ▶ | 98.7% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 b a))) |
| 67.3% | (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (/.f64 #s(literal 1 binary64) (*.f64 a b))) | |
| ▶ | 67.2% | (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b)) |
| 65.5% | (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
Compiled 603 to 422 computations (30% 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 | 128 | (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) a)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) a) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) a) (-.f64 b a)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) a) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (PI.f64) a) b) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) b) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b)) |
| ✓ | cost-diff | 0 | (+.f64 a b) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 b a)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 b a))) |
| 7 462× | accelerator-lowering-fma.f32 |
| 7 462× | accelerator-lowering-fma.f64 |
| 3 116× | *-lowering-*.f32 |
| 3 116× | *-lowering-*.f64 |
| 2 428× | --lowering--.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 188 |
| 1 | 73 | 186 |
| 2 | 206 | 186 |
| 3 | 604 | 186 |
| 4 | 2136 | 186 |
| 5 | 3725 | 186 |
| 6 | 6837 | 186 |
| 0 | 8281 | 186 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/2 (* (/ (+ a b) (- (/ (PI) a) (/ (PI) b))) (- b a))) |
1/2 |
(* (/ (+ a b) (- (/ (PI) a) (/ (PI) b))) (- b a)) |
(/ (+ a b) (- (/ (PI) a) (/ (PI) b))) |
(+ a b) |
a |
b |
(- (/ (PI) a) (/ (PI) b)) |
(/ (PI) a) |
(PI) |
(/ (PI) b) |
(- b a) |
(* (/ 1/2 b) (/ (/ (PI) a) b)) |
(/ 1/2 b) |
1/2 |
b |
(/ (/ (PI) a) b) |
(/ (PI) a) |
(PI) |
a |
(/ (/ (/ (* 1/2 (PI)) a) a) b) |
(/ (/ (* 1/2 (PI)) a) a) |
(/ (* 1/2 (PI)) a) |
(* 1/2 (PI)) |
1/2 |
(PI) |
a |
b |
(/ (/ (* (PI) (/ -1/2 b)) a) (- b a)) |
(/ (* (PI) (/ -1/2 b)) a) |
(* (PI) (/ -1/2 b)) |
(PI) |
(/ -1/2 b) |
-1/2 |
b |
a |
(- b a) |
(/ (* (* (PI) -1/2) (/ 1 (* b b))) (- 0 a)) |
(* (* (PI) -1/2) (/ 1 (* b b))) |
(* (PI) -1/2) |
(PI) |
-1/2 |
(/ 1 (* b b)) |
1 |
(* b b) |
b |
(- 0 a) |
0 |
a |
| Outputs |
|---|
(/ 1/2 (* (/ (+ a b) (- (/ (PI) a) (/ (PI) b))) (- b a))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) |
1/2 |
#s(literal 1/2 binary64) |
(* (/ (+ a b) (- (/ (PI) a) (/ (PI) b))) (- b a)) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) |
(/ (+ a b) (- (/ (PI) a) (/ (PI) b))) |
(/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) |
(+ a b) |
(+.f64 a b) |
a |
b |
(- (/ (PI) a) (/ (PI) b)) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(/ (PI) a) |
(/.f64 (PI.f64) a) |
(PI) |
(PI.f64) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(- b a) |
(-.f64 b a) |
(* (/ 1/2 b) (/ (/ (PI) a) b)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b)) |
(/ 1/2 b) |
(/.f64 #s(literal 1/2 binary64) b) |
1/2 |
#s(literal 1/2 binary64) |
b |
(/ (/ (PI) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (PI) a) |
(/.f64 (PI.f64) a) |
(PI) |
(PI.f64) |
a |
(/ (/ (/ (* 1/2 (PI)) a) a) b) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 a b)) |
(/ (/ (* 1/2 (PI)) a) a) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) |
(/ (* 1/2 (PI)) a) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(* 1/2 (PI)) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
1/2 |
#s(literal 1/2 binary64) |
(PI) |
(PI.f64) |
a |
b |
(/ (/ (* (PI) (/ -1/2 b)) a) (- b a)) |
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a (-.f64 b a)))) b) |
(/ (* (PI) (/ -1/2 b)) a) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) a) |
(* (PI) (/ -1/2 b)) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) |
(PI) |
(PI.f64) |
(/ -1/2 b) |
(/.f64 #s(literal -1/2 binary64) b) |
-1/2 |
#s(literal -1/2 binary64) |
b |
a |
(- b a) |
(-.f64 b a) |
(/ (* (* (PI) -1/2) (/ 1 (* b b))) (- 0 a)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b)) |
(* (* (PI) -1/2) (/ 1 (* b b))) |
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 b b))) |
(* (PI) -1/2) |
(*.f64 (PI.f64) #s(literal -1/2 binary64)) |
(PI) |
(PI.f64) |
-1/2 |
#s(literal -1/2 binary64) |
(/ 1 (* b b)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
1 |
#s(literal 1 binary64) |
(* b b) |
(*.f64 b b) |
b |
(- 0 a) |
(-.f64 #s(literal 0 binary64) a) |
0 |
#s(literal 0 binary64) |
a |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (*.f64 b b)) |
| ✓ | accuracy | 87.9% | (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) a)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) a) (-.f64 b a)) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) a) |
| ✓ | accuracy | 99.5% | (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) |
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
| ✓ | accuracy | 88.1% | (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b)) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 (PI.f64) a) b) |
| ✓ | accuracy | 99.5% | (/.f64 (PI.f64) a) |
| ✓ | accuracy | 99.7% | (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) |
| ✓ | accuracy | 99.7% | (/.f64 (PI.f64) b) |
| ✓ | accuracy | 99.5% | (/.f64 (PI.f64) a) |
| ✓ | accuracy | 98.9% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 b a))) |
| 70.0ms | 256× | 0 | valid |
Compiled 195 to 34 computations (82.6% saved)
ival-div: 33.0ms (64.6% of total)ival-mult: 10.0ms (19.6% of total)ival-sub: 5.0ms (9.8% of total)ival-add: 2.0ms (3.9% of total)ival-pi: 1.0ms (2% of total)exact: 1.0ms (2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1/2 (* (/ (+ a b) (- (/ (PI) a) (/ (PI) b))) (- b a)))> |
#<alt (* (/ (+ a b) (- (/ (PI) a) (/ (PI) b))) (- b a))> |
#<alt (/ (+ a b) (- (/ (PI) a) (/ (PI) b)))> |
#<alt (+ a b)> |
#<alt (* (/ 1/2 b) (/ (/ (PI) a) b))> |
#<alt (/ 1/2 b)> |
#<alt (/ (/ (PI) a) b)> |
#<alt (/ (PI) a)> |
#<alt (/ (/ (/ (* 1/2 (PI)) a) a) b)> |
#<alt (/ (/ (* 1/2 (PI)) a) a)> |
#<alt (/ (* 1/2 (PI)) a)> |
#<alt (* 1/2 (PI))> |
#<alt (/ (/ (* (PI) (/ -1/2 b)) a) (- b a))> |
#<alt (/ (* (PI) (/ -1/2 b)) a)> |
#<alt (* (PI) (/ -1/2 b))> |
#<alt (PI)> |
#<alt (/ (* (* (PI) -1/2) (/ 1 (* b b))) (- 0 a))> |
#<alt (* (* (PI) -1/2) (/ 1 (* b b)))> |
#<alt (* (PI) -1/2)> |
#<alt (/ (PI) b)> |
#<alt (/ 1 (* b b))> |
| Outputs |
|---|
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (* a (pow b 2)) (PI))> |
#<alt (* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI))))> |
#<alt (* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI))))> |
#<alt (* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI))))> |
#<alt (/ (* (pow a 2) b) (PI))> |
#<alt (* (pow a 2) (- (+ (* -1 (/ (* b (+ b (* -1 b))) (* a (PI)))) (/ b (PI))) (* -1 (/ (pow b 2) (* a (PI))))))> |
#<alt (* (pow a 2) (- (+ (* -1 (/ (* b (+ b (* -1 b))) (* a (PI)))) (+ (* -1 (/ (pow b 3) (* (pow a 2) (PI)))) (/ b (PI)))) (+ (* -1 (/ (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (* -1 (/ (pow b 2) (PI))))) (pow a 2))) (* -1 (/ (pow b 2) (* a (PI)))))))> |
#<alt (* (pow a 2) (- (+ (* -1 (/ (* b (+ b (* -1 b))) (* a (PI)))) (+ (* -1 (/ (pow b 3) (* (pow a 2) (PI)))) (+ (/ b (PI)) (/ (* b (- (* -1 (/ (pow b 3) (PI))) (* -1 (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (* -1 (/ (pow b 2) (PI)))))))) (pow a 3))))) (+ (* -1 (/ (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (* -1 (/ (pow b 2) (PI))))) (pow a 2))) (* -1 (/ (pow b 2) (* a (PI)))))))> |
#<alt (/ (* (pow a 2) b) (PI))> |
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (/ (pow b 2) (PI))) a)) (/ b (PI))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (- (+ (* -1 (/ (* b (+ b (* -1 b))) (PI))) (* -1 (/ (- (* -1 (/ (pow b 3) (PI))) (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (/ (pow b 2) (PI))))) a))) (/ (pow b 2) (PI))) a)) (/ b (PI))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (- (+ (* -1 (/ (* b (+ b (* -1 b))) (PI))) (* -1 (/ (- (+ (* -1 (/ (pow b 3) (PI))) (/ (* b (- (* -1 (/ (pow b 3) (PI))) (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (/ (pow b 2) (PI)))))) a)) (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (/ (pow b 2) (PI))))) a))) (/ (pow b 2) (PI))) a)) (/ b (PI))))> |
#<alt (/ (* (pow a 2) b) (PI))> |
#<alt (* b (+ (* b (- (* -1 (/ (+ a (* -1 a)) (PI))) (* -1 (/ a (PI))))) (/ (pow a 2) (PI))))> |
#<alt (* b (+ (* b (- (+ (* -1 (* b (+ (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) (PI))) (* -1 (/ a (PI)))) a)) (/ 1 (PI))))) (* -1 (/ (+ a (* -1 a)) (PI)))) (* -1 (/ a (PI))))) (/ (pow a 2) (PI))))> |
#<alt (* b (+ (* b (- (+ (* -1 (/ (+ a (* -1 a)) (PI))) (* b (- (* -1 (* b (+ (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) (PI))) (* -1 (/ a (PI)))) (pow a 2))) (/ 1 (* a (PI)))))) (+ (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) (PI))) (* -1 (/ a (PI)))) a)) (/ 1 (PI)))))) (* -1 (/ a (PI))))) (/ (pow a 2) (PI))))> |
#<alt (/ (* a (pow b 2)) (PI))> |
#<alt (* (pow b 2) (- (+ (/ a (PI)) (/ (* a (+ a (* -1 a))) (* b (PI)))) (* -1 (/ (pow a 2) (* b (PI))))))> |
#<alt (* (pow b 2) (- (+ (* -1 (/ (pow a 3) (* (pow b 2) (PI)))) (+ (/ a (PI)) (/ (* a (+ a (* -1 a))) (* b (PI))))) (+ (* -1 (/ (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 2))) (* -1 (/ (pow a 2) (* b (PI)))))))> |
#<alt (* (pow b 2) (- (+ (* -1 (/ (pow a 3) (* (pow b 2) (PI)))) (+ (/ a (PI)) (+ (/ (* a (+ a (* -1 a))) (* b (PI))) (/ (* a (- (* -1 (/ (pow a 3) (PI))) (* -1 (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI)))))))) (pow b 3))))) (+ (* -1 (/ (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 2))) (* -1 (/ (pow a 2) (* b (PI)))))))> |
#<alt (/ (* a (pow b 2)) (PI))> |
#<alt (* (pow b 2) (- (+ (/ a (PI)) (/ (* a (+ a (* -1 a))) (* b (PI)))) (* -1 (/ (pow a 2) (* b (PI))))))> |
#<alt (* (pow b 2) (+ (* -1 (/ (- (+ (* -1 (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))) (/ (pow a 3) (* b (PI)))) (/ (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))) b)) b)) (/ a (PI))))> |
#<alt (* (pow b 2) (+ (* -1 (/ (+ (* -1 (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))) (* -1 (/ (+ (* -1 (- (/ (pow a 3) (PI)) (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))))) (* -1 (/ (* a (- (/ (pow a 3) (PI)) (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))))) b))) b))) b)) (/ a (PI))))> |
#<alt (/ (* a b) (PI))> |
#<alt (* a (+ (* 2 (/ a (PI))) (/ b (PI))))> |
#<alt (* a (+ (* a (+ (* 2 (/ a (* b (PI)))) (* 2 (/ 1 (PI))))) (/ b (PI))))> |
#<alt (* a (+ (* a (+ (* a (+ (* 2 (/ a (* (pow b 2) (PI)))) (* 2 (/ 1 (* b (PI)))))) (* 2 (/ 1 (PI))))) (/ b (PI))))> |
#<alt (* -1 (/ (* a b) (PI)))> |
#<alt (* a (- (+ (* -1 (/ b (PI))) (* -1 (/ (pow b 2) (* a (PI))))) (/ (pow b 2) (* a (PI)))))> |
#<alt (* a (- (+ (* -1 (/ b (PI))) (+ (* -1 (/ (pow b 2) (* a (PI)))) (/ (* b (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) (pow a 2)))) (/ (pow b 2) (* a (PI)))))> |
#<alt (* a (- (+ (* -1 (/ b (PI))) (+ (* -1 (/ (pow b 2) (* a (PI)))) (/ (* (pow b 2) (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) (pow a 3)))) (+ (* -1 (/ (* b (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) (pow a 2))) (/ (pow b 2) (* a (PI))))))> |
#<alt (* -1 (/ (* a b) (PI)))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI))) a)) (/ b (PI)))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (+ (* -1 (/ (pow b 2) (PI))) (/ (* b (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) a)) (/ (pow b 2) (PI))) a)) (/ b (PI)))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow b 2) (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) a)) (* b (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI))))) a)) (* -1 (/ (pow b 2) (PI)))) (/ (pow b 2) (PI))) a)) (/ b (PI)))))> |
#<alt (* -1 (/ (* a b) (PI)))> |
#<alt (* b (+ (* -2 (/ b (PI))) (* -1 (/ a (PI)))))> |
#<alt (* b (+ (* -1 (/ a (PI))) (* b (- (* -2 (/ b (* a (PI)))) (* 2 (/ 1 (PI)))))))> |
#<alt (* b (+ (* -1 (/ a (PI))) (* b (- (* b (- (* -2 (/ b (* (pow a 2) (PI)))) (* 2 (/ 1 (* a (PI)))))) (* 2 (/ 1 (PI)))))))> |
#<alt (/ (* a b) (PI))> |
#<alt (* b (- (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))) (* -1 (/ (pow a 2) (* b (PI))))))> |
#<alt (* b (- (+ (/ a (PI)) (+ (/ (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 2)) (/ (pow a 2) (* b (PI))))) (* -1 (/ (pow a 2) (* b (PI))))))> |
#<alt (* b (- (+ (/ a (PI)) (+ (/ (* (pow a 2) (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 3)) (/ (pow a 2) (* b (PI))))) (+ (* -1 (/ (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 2))) (* -1 (/ (pow a 2) (* b (PI)))))))> |
#<alt (/ (* a b) (PI))> |
#<alt (* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI)))) b)))))> |
#<alt (* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (+ (/ (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) b) (/ (pow a 2) (PI))) (* -1 (/ (pow a 2) (PI)))) b)))))> |
#<alt (* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) b)) (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI)))))) b)) (/ (pow a 2) (PI))) (* -1 (/ (pow a 2) (PI)))) b)))))> |
#<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 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 (* 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 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 (/ (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 (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (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 (/ (PI) (pow a 2)))> |
#<alt (* 1/2 (/ (PI) (pow a 2)))> |
#<alt (* 1/2 (/ (PI) (pow a 2)))> |
#<alt (* 1/2 (/ (PI) (pow a 2)))> |
#<alt (* 1/2 (/ (PI) (pow a 2)))> |
#<alt (* 1/2 (/ (PI) (pow a 2)))> |
#<alt (* 1/2 (/ (PI) (pow a 2)))> |
#<alt (* 1/2 (/ (PI) (pow a 2)))> |
#<alt (* 1/2 (/ (PI) (pow a 2)))> |
#<alt (* 1/2 (/ (PI) (pow a 2)))> |
#<alt (* 1/2 (/ (PI) (pow a 2)))> |
#<alt (* 1/2 (/ (PI) (pow a 2)))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3)))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (/ (PI) (pow a 3))) (* b (+ (* 1/2 (/ (PI) (pow a 4))) (* 1/2 (/ (* b (PI)) (pow a 5)))))))) b)> |
#<alt (* -1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (PI) b)) (* -1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3)))))) (pow b 2))> |
#<alt (* -1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) (* -1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* -1/2 (/ (* (pow a 2) (PI)) b))) b)) (* 1/2 (PI))) b)) (* -1/2 (/ (PI) a))) (pow b 2))> |
#<alt (* -1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) (pow b 2))) (* -1/2 (/ (* a (PI)) (pow b 3)))) a)> |
#<alt (/ (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* -1/2 (/ (* a (PI)) (pow b 4)))))) a)> |
#<alt (/ (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (PI) (pow b 4))) (* -1/2 (/ (* a (PI)) (pow b 5)))))))) a)> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))> |
#<alt (/ (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 3)))))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* b (PI)) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (* -1/2 (/ (PI) (* 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) b))> |
#<alt (* -1/2 (/ (PI) b))> |
#<alt (* -1/2 (/ (PI) b))> |
#<alt (* -1/2 (/ (PI) b))> |
#<alt (* -1/2 (/ (PI) b))> |
#<alt (* -1/2 (/ (PI) b))> |
#<alt (* -1/2 (/ (PI) b))> |
#<alt (* -1/2 (/ (PI) b))> |
#<alt (* -1/2 (/ (PI) b))> |
#<alt (* -1/2 (/ (PI) b))> |
#<alt (* -1/2 (/ (PI) b))> |
#<alt (* -1/2 (/ (PI) b))> |
#<alt (* 1/2 (/ (PI) (* 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) (pow b 2)))> |
#<alt (* -1/2 (/ (PI) (pow b 2)))> |
#<alt (* -1/2 (/ (PI) (pow b 2)))> |
#<alt (* -1/2 (/ (PI) (pow b 2)))> |
#<alt (* -1/2 (/ (PI) (pow b 2)))> |
#<alt (* -1/2 (/ (PI) (pow b 2)))> |
#<alt (* -1/2 (/ (PI) (pow b 2)))> |
#<alt (* -1/2 (/ (PI) (pow b 2)))> |
#<alt (* -1/2 (/ (PI) (pow b 2)))> |
#<alt (* -1/2 (/ (PI) (pow b 2)))> |
#<alt (* -1/2 (/ (PI) (pow b 2)))> |
#<alt (* -1/2 (/ (PI) (pow b 2)))> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ 1 (pow b 2))> |
#<alt (/ 1 (pow b 2))> |
#<alt (/ 1 (pow b 2))> |
#<alt (/ 1 (pow b 2))> |
#<alt (/ 1 (pow b 2))> |
#<alt (/ 1 (pow b 2))> |
#<alt (/ 1 (pow b 2))> |
#<alt (/ 1 (pow b 2))> |
#<alt (/ 1 (pow b 2))> |
#<alt (/ 1 (pow b 2))> |
#<alt (/ 1 (pow b 2))> |
#<alt (/ 1 (pow b 2))> |
84 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | b | @ | 0 | (/ (/ (PI) a) b) |
| 4.0ms | b | @ | 0 | (/ (/ (* (PI) (/ -1/2 b)) a) (- b a)) |
| 3.0ms | b | @ | 0 | (* (/ (+ a b) (- (/ (PI) a) (/ (PI) b))) (- b a)) |
| 1.0ms | b | @ | 0 | (/ (/ (/ (* 1/2 (PI)) a) a) b) |
| 1.0ms | a | @ | inf | (* (/ (+ a b) (- (/ (PI) a) (/ (PI) b))) (- b a)) |
| 1× | batch-egg-rewrite |
| 5 098× | /-lowering-/.f32 |
| 5 098× | /-lowering-/.f64 |
| 4 748× | *-lowering-*.f32 |
| 4 748× | *-lowering-*.f64 |
| 2 208× | --lowering--.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 141 |
| 1 | 220 | 139 |
| 2 | 2101 | 139 |
| 0 | 8532 | 139 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/2 (* (/ (+ a b) (- (/ (PI) a) (/ (PI) b))) (- b a))) |
(* (/ (+ a b) (- (/ (PI) a) (/ (PI) b))) (- b a)) |
(/ (+ a b) (- (/ (PI) a) (/ (PI) b))) |
(+ a b) |
(* (/ 1/2 b) (/ (/ (PI) a) b)) |
(/ 1/2 b) |
(/ (/ (PI) a) b) |
(/ (PI) a) |
(/ (/ (/ (* 1/2 (PI)) a) a) b) |
(/ (/ (* 1/2 (PI)) a) a) |
(/ (* 1/2 (PI)) a) |
(* 1/2 (PI)) |
(/ (/ (* (PI) (/ -1/2 b)) a) (- b a)) |
(/ (* (PI) (/ -1/2 b)) a) |
(* (PI) (/ -1/2 b)) |
(PI) |
(/ (* (* (PI) -1/2) (/ 1 (* b b))) (- 0 a)) |
(* (* (PI) -1/2) (/ 1 (* b b))) |
(* (PI) -1/2) |
(/ (PI) b) |
(/ 1 (* b b)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 b a) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 b a) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b))))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 b a) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 b a)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) (-.f64 #s(literal 0 binary64) (-.f64 b a))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (neg.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))) |
(pow.f64 (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 b a) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) (-.f64 b a))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 b a))) |
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) (pow.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) (-.f64 b a)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 #s(literal 1 binary64) (-.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 b b) (*.f64 a (+.f64 a b)))) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 (*.f64 b b) (*.f64 a a))) (+.f64 a b)) |
(+.f64 (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) b) (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 #s(literal 0 binary64) a))) |
(+.f64 (*.f64 b (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))) |
(-.f64 (/.f64 b (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))) (/.f64 a (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (*.f64 b b) (*.f64 a (+.f64 a b)))) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))) (/.f64 (/.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 b b) (*.f64 a (+.f64 a b)))) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 a b)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))) (/.f64 (/.f64 (*.f64 a a) (+.f64 a b)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)))) |
(-.f64 (/.f64 (+.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))) (/.f64 a (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)))) |
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(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) b)) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) b)) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (PI.f64)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 b) #s(literal -2 binary64))) |
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) b))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (/.f64 #s(literal 1 binary64) b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) b) b) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) b)) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) b))) (neg.f64 (-.f64 #s(literal 0 binary64) b))) |
(pow.f64 b #s(literal -2 binary64)) |
(pow.f64 (*.f64 b b) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 b (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b b))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b)) |
| 1× | egg-herbie |
| 10 624× | accelerator-lowering-fma.f32 |
| 10 624× | accelerator-lowering-fma.f64 |
| 5 534× | *-lowering-*.f32 |
| 5 534× | *-lowering-*.f64 |
| 3 070× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 623 | 4717 |
| 1 | 2085 | 4148 |
| 2 | 7989 | 4116 |
| 0 | 8457 | 3988 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2)) |
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2)) |
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2)) |
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2)) |
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (* a (pow b 2)) (PI)) |
(* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI)))) |
(* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI)))) |
(* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI)))) |
(/ (* (pow a 2) b) (PI)) |
(* (pow a 2) (- (+ (* -1 (/ (* b (+ b (* -1 b))) (* a (PI)))) (/ b (PI))) (* -1 (/ (pow b 2) (* a (PI)))))) |
(* (pow a 2) (- (+ (* -1 (/ (* b (+ b (* -1 b))) (* a (PI)))) (+ (* -1 (/ (pow b 3) (* (pow a 2) (PI)))) (/ b (PI)))) (+ (* -1 (/ (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (* -1 (/ (pow b 2) (PI))))) (pow a 2))) (* -1 (/ (pow b 2) (* a (PI))))))) |
(* (pow a 2) (- (+ (* -1 (/ (* b (+ b (* -1 b))) (* a (PI)))) (+ (* -1 (/ (pow b 3) (* (pow a 2) (PI)))) (+ (/ b (PI)) (/ (* b (- (* -1 (/ (pow b 3) (PI))) (* -1 (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (* -1 (/ (pow b 2) (PI)))))))) (pow a 3))))) (+ (* -1 (/ (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (* -1 (/ (pow b 2) (PI))))) (pow a 2))) (* -1 (/ (pow b 2) (* a (PI))))))) |
(/ (* (pow a 2) b) (PI)) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (/ (pow b 2) (PI))) a)) (/ b (PI)))) |
(* (pow a 2) (+ (* -1 (/ (- (+ (* -1 (/ (* b (+ b (* -1 b))) (PI))) (* -1 (/ (- (* -1 (/ (pow b 3) (PI))) (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (/ (pow b 2) (PI))))) a))) (/ (pow b 2) (PI))) a)) (/ b (PI)))) |
(* (pow a 2) (+ (* -1 (/ (- (+ (* -1 (/ (* b (+ b (* -1 b))) (PI))) (* -1 (/ (- (+ (* -1 (/ (pow b 3) (PI))) (/ (* b (- (* -1 (/ (pow b 3) (PI))) (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (/ (pow b 2) (PI)))))) a)) (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (/ (pow b 2) (PI))))) a))) (/ (pow b 2) (PI))) a)) (/ b (PI)))) |
(/ (* (pow a 2) b) (PI)) |
(* b (+ (* b (- (* -1 (/ (+ a (* -1 a)) (PI))) (* -1 (/ a (PI))))) (/ (pow a 2) (PI)))) |
(* b (+ (* b (- (+ (* -1 (* b (+ (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) (PI))) (* -1 (/ a (PI)))) a)) (/ 1 (PI))))) (* -1 (/ (+ a (* -1 a)) (PI)))) (* -1 (/ a (PI))))) (/ (pow a 2) (PI)))) |
(* b (+ (* b (- (+ (* -1 (/ (+ a (* -1 a)) (PI))) (* b (- (* -1 (* b (+ (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) (PI))) (* -1 (/ a (PI)))) (pow a 2))) (/ 1 (* a (PI)))))) (+ (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) (PI))) (* -1 (/ a (PI)))) a)) (/ 1 (PI)))))) (* -1 (/ a (PI))))) (/ (pow a 2) (PI)))) |
(/ (* a (pow b 2)) (PI)) |
(* (pow b 2) (- (+ (/ a (PI)) (/ (* a (+ a (* -1 a))) (* b (PI)))) (* -1 (/ (pow a 2) (* b (PI)))))) |
(* (pow b 2) (- (+ (* -1 (/ (pow a 3) (* (pow b 2) (PI)))) (+ (/ a (PI)) (/ (* a (+ a (* -1 a))) (* b (PI))))) (+ (* -1 (/ (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 2))) (* -1 (/ (pow a 2) (* b (PI))))))) |
(* (pow b 2) (- (+ (* -1 (/ (pow a 3) (* (pow b 2) (PI)))) (+ (/ a (PI)) (+ (/ (* a (+ a (* -1 a))) (* b (PI))) (/ (* a (- (* -1 (/ (pow a 3) (PI))) (* -1 (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI)))))))) (pow b 3))))) (+ (* -1 (/ (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 2))) (* -1 (/ (pow a 2) (* b (PI))))))) |
(/ (* a (pow b 2)) (PI)) |
(* (pow b 2) (- (+ (/ a (PI)) (/ (* a (+ a (* -1 a))) (* b (PI)))) (* -1 (/ (pow a 2) (* b (PI)))))) |
(* (pow b 2) (+ (* -1 (/ (- (+ (* -1 (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))) (/ (pow a 3) (* b (PI)))) (/ (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))) b)) b)) (/ a (PI)))) |
(* (pow b 2) (+ (* -1 (/ (+ (* -1 (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))) (* -1 (/ (+ (* -1 (- (/ (pow a 3) (PI)) (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))))) (* -1 (/ (* a (- (/ (pow a 3) (PI)) (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))))) b))) b))) b)) (/ a (PI)))) |
(/ (* a b) (PI)) |
(* a (+ (* 2 (/ a (PI))) (/ b (PI)))) |
(* a (+ (* a (+ (* 2 (/ a (* b (PI)))) (* 2 (/ 1 (PI))))) (/ b (PI)))) |
(* a (+ (* a (+ (* a (+ (* 2 (/ a (* (pow b 2) (PI)))) (* 2 (/ 1 (* b (PI)))))) (* 2 (/ 1 (PI))))) (/ b (PI)))) |
(* -1 (/ (* a b) (PI))) |
(* a (- (+ (* -1 (/ b (PI))) (* -1 (/ (pow b 2) (* a (PI))))) (/ (pow b 2) (* a (PI))))) |
(* a (- (+ (* -1 (/ b (PI))) (+ (* -1 (/ (pow b 2) (* a (PI)))) (/ (* b (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) (pow a 2)))) (/ (pow b 2) (* a (PI))))) |
(* a (- (+ (* -1 (/ b (PI))) (+ (* -1 (/ (pow b 2) (* a (PI)))) (/ (* (pow b 2) (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) (pow a 3)))) (+ (* -1 (/ (* b (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) (pow a 2))) (/ (pow b 2) (* a (PI)))))) |
(* -1 (/ (* a b) (PI))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI))) a)) (/ b (PI))))) |
(* -1 (* a (+ (* -1 (/ (- (+ (* -1 (/ (pow b 2) (PI))) (/ (* b (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) a)) (/ (pow b 2) (PI))) a)) (/ b (PI))))) |
(* -1 (* a (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow b 2) (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) a)) (* b (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI))))) a)) (* -1 (/ (pow b 2) (PI)))) (/ (pow b 2) (PI))) a)) (/ b (PI))))) |
(* -1 (/ (* a b) (PI))) |
(* b (+ (* -2 (/ b (PI))) (* -1 (/ a (PI))))) |
(* b (+ (* -1 (/ a (PI))) (* b (- (* -2 (/ b (* a (PI)))) (* 2 (/ 1 (PI))))))) |
(* b (+ (* -1 (/ a (PI))) (* b (- (* b (- (* -2 (/ b (* (pow a 2) (PI)))) (* 2 (/ 1 (* a (PI)))))) (* 2 (/ 1 (PI))))))) |
(/ (* a b) (PI)) |
(* b (- (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))) (* -1 (/ (pow a 2) (* b (PI)))))) |
(* b (- (+ (/ a (PI)) (+ (/ (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 2)) (/ (pow a 2) (* b (PI))))) (* -1 (/ (pow a 2) (* b (PI)))))) |
(* b (- (+ (/ a (PI)) (+ (/ (* (pow a 2) (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 3)) (/ (pow a 2) (* b (PI))))) (+ (* -1 (/ (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 2))) (* -1 (/ (pow a 2) (* b (PI))))))) |
(/ (* a b) (PI)) |
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI)))) b))))) |
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (+ (/ (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) b) (/ (pow a 2) (PI))) (* -1 (/ (pow a 2) (PI)))) b))))) |
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) b)) (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI)))))) b)) (/ (pow a 2) (PI))) (* -1 (/ (pow a 2) (PI)))) b))))) |
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))) |
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))) |
(* 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 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) |
(/ (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)) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (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 (/ (PI) (pow a 2))) |
(* 1/2 (/ (PI) (pow a 2))) |
(* 1/2 (/ (PI) (pow a 2))) |
(* 1/2 (/ (PI) (pow a 2))) |
(* 1/2 (/ (PI) (pow a 2))) |
(* 1/2 (/ (PI) (pow a 2))) |
(* 1/2 (/ (PI) (pow a 2))) |
(* 1/2 (/ (PI) (pow a 2))) |
(* 1/2 (/ (PI) (pow a 2))) |
(* 1/2 (/ (PI) (pow a 2))) |
(* 1/2 (/ (PI) (pow a 2))) |
(* 1/2 (/ (PI) (pow a 2))) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (/ (PI) (pow a 3))) (* b (+ (* 1/2 (/ (PI) (pow a 4))) (* 1/2 (/ (* b (PI)) (pow a 5)))))))) b) |
(* -1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (PI) b)) (* -1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3)))))) (pow b 2)) |
(* -1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) (* -1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* -1/2 (/ (* (pow a 2) (PI)) b))) b)) (* 1/2 (PI))) b)) (* -1/2 (/ (PI) a))) (pow b 2)) |
(* -1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) (pow b 2))) (* -1/2 (/ (* a (PI)) (pow b 3)))) a) |
(/ (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* -1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/ (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (PI) (pow b 4))) (* -1/2 (/ (* a (PI)) (pow b 5)))))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/ (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 3)))))) (pow a 2)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* b (PI)) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(* -1/2 (/ (PI) (* 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) b)) |
(* -1/2 (/ (PI) b)) |
(* -1/2 (/ (PI) b)) |
(* -1/2 (/ (PI) b)) |
(* -1/2 (/ (PI) b)) |
(* -1/2 (/ (PI) b)) |
(* -1/2 (/ (PI) b)) |
(* -1/2 (/ (PI) b)) |
(* -1/2 (/ (PI) b)) |
(* -1/2 (/ (PI) b)) |
(* -1/2 (/ (PI) b)) |
(* -1/2 (/ (PI) b)) |
(* 1/2 (/ (PI) (* 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) (pow b 2))) |
(* -1/2 (/ (PI) (pow b 2))) |
(* -1/2 (/ (PI) (pow b 2))) |
(* -1/2 (/ (PI) (pow b 2))) |
(* -1/2 (/ (PI) (pow b 2))) |
(* -1/2 (/ (PI) (pow b 2))) |
(* -1/2 (/ (PI) (pow b 2))) |
(* -1/2 (/ (PI) (pow b 2))) |
(* -1/2 (/ (PI) (pow b 2))) |
(* -1/2 (/ (PI) (pow b 2))) |
(* -1/2 (/ (PI) (pow b 2))) |
(* -1/2 (/ (PI) (pow b 2))) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ 1 (pow b 2)) |
(/ 1 (pow b 2)) |
(/ 1 (pow b 2)) |
(/ 1 (pow b 2)) |
(/ 1 (pow b 2)) |
(/ 1 (pow b 2)) |
(/ 1 (pow b 2)) |
(/ 1 (pow b 2)) |
(/ 1 (pow b 2)) |
(/ 1 (pow b 2)) |
(/ 1 (pow b 2)) |
(/ 1 (pow b 2)) |
| Outputs |
|---|
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a (+.f64 (/.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64))))) (/.f64 (PI.f64) (*.f64 b b)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64))))) (+.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 (+.f64 (/.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 0 binary64) (*.f64 b b))))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (-.f64 (*.f64 (+.f64 (/.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 0 binary64) (*.f64 b b))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 a (-.f64 (/.f64 (+.f64 (*.f64 (+.f64 (/.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 0 binary64) (*.f64 b b))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (/.f64 (+.f64 (/.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b))))) a))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a)) |
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b)))) a)) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2)) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b)))) a)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) (*.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) #s(literal 0 binary64))) (*.f64 a a))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2)) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b)))) a)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) #s(literal 0 binary64)) (*.f64 (PI.f64) b)) (*.f64 a a)) (/.f64 (-.f64 (+.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (*.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) #s(literal 0 binary64))) (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))))) (*.f64 a (*.f64 a a)))))) (*.f64 a a)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b)))) a)) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) (/.f64 (-.f64 (*.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) #s(literal 0 binary64)) (*.f64 (PI.f64) b)) a))) a)) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b)))) (/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) (*.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) #s(literal 0 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (*.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) #s(literal 0 binary64))) (*.f64 (*.f64 b b) (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b)))))) a)) a)) a)) (*.f64 a a)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a)) |
(/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 a #s(literal 4 binary64))))) (/.f64 (PI.f64) (*.f64 a a))) b)) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a a)) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 a a)) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 b #s(literal -1/2 binary64)))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a a)) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 a a)) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 b (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 a #s(literal 4 binary64)))))) (*.f64 a a)) (/.f64 (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 a a)))) (*.f64 a a)))) b))))) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) b))) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64)) (*.f64 (PI.f64) a))) (*.f64 b b))) (*.f64 b b)) |
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(* b (- (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))) (* -1 (/ (pow a 2) (* b (PI)))))) |
(*.f64 b (+.f64 (/.f64 a (PI.f64)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (PI.f64))) b))) |
(* b (- (+ (/ a (PI)) (+ (/ (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 2)) (/ (pow a 2) (* b (PI))))) (* -1 (/ (pow a 2) (* b (PI)))))) |
(*.f64 b (+.f64 (+.f64 (/.f64 a (PI.f64)) (/.f64 (*.f64 a (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (PI.f64))) b)) b)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (PI.f64))) b))) |
(* b (- (+ (/ a (PI)) (+ (/ (* (pow a 2) (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 3)) (/ (pow a 2) (* b (PI))))) (+ (* -1 (/ (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 2))) (* -1 (/ (pow a 2) (* b (PI))))))) |
(*.f64 b (+.f64 (/.f64 a (PI.f64)) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (PI.f64))))) (*.f64 b (*.f64 b b))) (-.f64 (*.f64 a (/.f64 a (*.f64 (PI.f64) b))) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 a (*.f64 (PI.f64) b)))) (/.f64 (*.f64 a (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (PI.f64))) b)) b)))))) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI)))) b))))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 a (PI.f64))) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (PI.f64))) b))) |
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (+ (/ (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) b) (/ (pow a 2) (PI))) (* -1 (/ (pow a 2) (PI)))) b))))) |
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b |
(+ a b) |
(+.f64 a b) |
(+ a b) |
(+.f64 a b) |
(+ a b) |
(+.f64 a b) |
a |
(* a (+ 1 (/ b a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))) |
(* a (+ 1 (/ b a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))) |
(* a (+ 1 (/ b a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))) |
a |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(*.f64 a (*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a))))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(*.f64 a (*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a))))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(*.f64 a (*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a))))) |
a |
(+ a b) |
(+.f64 a b) |
(+ a b) |
(+.f64 a b) |
(+ a b) |
(+.f64 a b) |
b |
(* b (+ 1 (/ a b))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))) |
(* b (+ 1 (/ a b))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))) |
(* b (+ 1 (/ a b))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))) |
b |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a b))))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a b))))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a b))))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
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(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
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(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
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(* 1/2 (/ (PI) (* a (pow b 2)))) |
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(* 1/2 (/ (PI) (* a (pow b 2)))) |
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(/ 1/2 b) |
(/.f64 #s(literal 1/2 binary64) b) |
(/ 1/2 b) |
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(/ 1/2 b) |
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(/ 1/2 b) |
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(/ 1/2 b) |
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(/ 1/2 b) |
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(/ 1/2 b) |
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(/ 1/2 b) |
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(/ 1/2 b) |
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(/ 1/2 b) |
(/.f64 #s(literal 1/2 binary64) b) |
(/ 1/2 b) |
(/.f64 #s(literal 1/2 binary64) b) |
(/ 1/2 b) |
(/.f64 #s(literal 1/2 binary64) b) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (PI) (* a b)) |
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(/ (PI) (* a b)) |
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(/ (PI) (* a b)) |
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(/ (PI) (* a b)) |
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(/ (PI) (* a b)) |
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(/ (PI) (* a b)) |
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(/ (PI) (* a b)) |
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(/ (PI) (* a b)) |
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(/ (PI) (* a b)) |
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(/ (PI) (* a b)) |
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(/ (PI) (* a b)) |
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(/ (PI) (* a b)) |
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(/ (PI) (* a b)) |
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(/ (PI) (* a b)) |
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(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (PI) a) |
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(/ (PI) a) |
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(/ (PI) a) |
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(/ (PI) a) |
(/.f64 (PI.f64) a) |
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(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a)) |
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(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
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(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3)))) b) |
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(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
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(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (/ (PI) (pow a 3))) (* b (+ (* 1/2 (/ (PI) (pow a 4))) (* 1/2 (/ (* b (PI)) (pow a 5)))))))) b) |
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(* -1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64)) a) |
(/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow b 2)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (*.f64 b b))) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (PI) b)) (* -1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 (PI.f64) (/.f64 a b)) b)))) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3)))))) (pow b 2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (+.f64 (/.f64 (*.f64 (PI.f64) (/.f64 a b)) b) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) (*.f64 b (*.f64 b b)))))) (*.f64 b b)) |
(* -1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64)) a) |
(/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow b 2)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (*.f64 b b))) |
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) (* -1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 a b))) b))) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* -1/2 (/ (* (pow a 2) (PI)) b))) b)) (* 1/2 (PI))) b)) (* -1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) b))) b)) b)) (*.f64 b b)) |
(* -1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64)) a) |
(/ (+ (* -1/2 (/ (PI) (pow b 2))) (* -1/2 (/ (* a (PI)) (pow b 3)))) a) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 a b)) 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 (+.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64)) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 (PI.f64) a) (pow.f64 b #s(literal 4 binary64)))))) a) |
(/ (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (PI) (pow b 4))) (* -1/2 (/ (* a (PI)) (pow b 5)))))))) a) |
(/.f64 (+.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64)) (*.f64 a (+.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64)) b) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (+.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 (PI.f64) a) (pow.f64 b #s(literal 5 binary64)))))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a)) |
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 a a)) |
(/ (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 (*.f64 (PI.f64) b) a) a)))) (*.f64 a a)) |
(/ (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 3)))))) (pow a 2)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) b) a) a) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) (*.f64 a (*.f64 a a)))))) (*.f64 a a)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a)) |
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* b (PI)) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) b) a))) a)) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (PI.f64) b) (*.f64 (PI.f64) (/.f64 (*.f64 b b) a)))) a)) a)) (*.f64 a a)) |
(* -1/2 (/ (PI) (* a b))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b) |
(* -1/2 (/ (PI) (* a b))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b) |
(* -1/2 (/ (PI) (* a b))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b) |
(* -1/2 (/ (PI) (* a b))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b) |
(* -1/2 (/ (PI) (* a b))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b) |
(* -1/2 (/ (PI) (* a b))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b) |
(* -1/2 (/ (PI) (* a b))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b) |
(* -1/2 (/ (PI) (* a b))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b) |
(* -1/2 (/ (PI) (* a b))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b) |
(* -1/2 (/ (PI) (* a b))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b) |
(* -1/2 (/ (PI) (* a b))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b) |
(* -1/2 (/ (PI) (* a b))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b) |
(* -1/2 (/ (PI) (* a b))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b) |
(* -1/2 (/ (PI) (* a b))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b) |
(* -1/2 (/ (PI) (* a b))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b) |
(* -1/2 (/ (PI) (* a b))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b) |
(* -1/2 (/ (PI) (* a b))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b) |
(* -1/2 (/ (PI) (* a b))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b) |
(* -1/2 (/ (PI) (* a b))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b) |
(* -1/2 (/ (PI) (* a b))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b) |
(* -1/2 (/ (PI) (* a b))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b) |
(* -1/2 (/ (PI) (* a b))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b) |
(* -1/2 (/ (PI) (* a b))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b) |
(* -1/2 (/ (PI) (* a b))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b) |
(* -1/2 (/ (PI) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) |
(* -1/2 (/ (PI) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) |
(* -1/2 (/ (PI) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) |
(* -1/2 (/ (PI) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) |
(* -1/2 (/ (PI) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) |
(* -1/2 (/ (PI) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) |
(* -1/2 (/ (PI) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) |
(* -1/2 (/ (PI) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) |
(* -1/2 (/ (PI) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) |
(* -1/2 (/ (PI) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) |
(* -1/2 (/ (PI) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) |
(* -1/2 (/ (PI) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a) |
(* -1/2 (/ (PI) (pow b 2))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64)) |
(* -1/2 (/ (PI) (pow b 2))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64)) |
(* -1/2 (/ (PI) (pow b 2))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64)) |
(* -1/2 (/ (PI) (pow b 2))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64)) |
(* -1/2 (/ (PI) (pow b 2))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64)) |
(* -1/2 (/ (PI) (pow b 2))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64)) |
(* -1/2 (/ (PI) (pow b 2))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64)) |
(* -1/2 (/ (PI) (pow b 2))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64)) |
(* -1/2 (/ (PI) (pow b 2))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64)) |
(* -1/2 (/ (PI) (pow b 2))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64)) |
(* -1/2 (/ (PI) (pow b 2))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64)) |
(* -1/2 (/ (PI) (pow b 2))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64)) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
Compiled 24 496 to 3 703 computations (84.9% saved)
22 alts after pruning (19 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 459 | 14 | 1 473 |
| Fresh | 10 | 5 | 15 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 472 | 22 | 1 494 |
| Status | Accuracy | Program |
|---|---|---|
| 61.6% | (/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) b) b) | |
| 67.3% | (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64))) | |
| ✓ | 79.3% | (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) |
| ✓ | 65.5% | (/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) a) (-.f64 b a)) |
| ▶ | 57.2% | (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a) |
| 57.2% | (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 a b)) | |
| 67.2% | (/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 b (/.f64 (PI.f64) a))) | |
| 61.7% | (/.f64 (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) b) | |
| 52.1% | (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) b) | |
| ▶ | 61.1% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b b)) |
| 51.9% | (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) b) | |
| 45.0% | (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a)) | |
| 45.0% | (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 a a)) | |
| 67.1% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) b)) | |
| 56.8% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a)) | |
| ▶ | 56.8% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))))) |
| ✓ | 98.7% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 b a))) |
| 64.8% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a b) (-.f64 #s(literal 0 binary64) (PI.f64))) (-.f64 b a))) | |
| ▶ | 87.9% | (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (/.f64 (*.f64 a a) (PI.f64)) (/.f64 (*.f64 a b) (PI.f64))))) |
| 52.1% | (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) | |
| 65.5% | (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b)) (-.f64 b a))) | |
| ▶ | 57.2% | (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b))) |
Compiled 533 to 379 computations (28.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) |
| ✓ | cost-diff | 0 | (*.f64 a b) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 a b) (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))))) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) a) |
| ✓ | cost-diff | 0 | (/.f64 b (/.f64 (PI.f64) a)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) a) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b b)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) a) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (PI.f64) a) (*.f64 a b)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 a a) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 b (+.f64 (/.f64 (*.f64 a a) (PI.f64)) (/.f64 (*.f64 a b) (PI.f64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (/.f64 (*.f64 a a) (PI.f64)) (/.f64 (*.f64 a b) (PI.f64))))) |
| ✓ | cost-diff | 256 | (+.f64 (/.f64 (*.f64 a a) (PI.f64)) (/.f64 (*.f64 a b) (PI.f64))) |
| 1 396× | *-lowering-*.f32 |
| 1 396× | *-lowering-*.f64 |
| 1 044× | /-lowering-/.f32 |
| 1 044× | /-lowering-/.f64 |
| 982× | associate-/r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 171 |
| 1 | 71 | 165 |
| 2 | 193 | 159 |
| 3 | 450 | 159 |
| 4 | 928 | 159 |
| 5 | 1654 | 159 |
| 6 | 2273 | 159 |
| 7 | 2587 | 159 |
| 8 | 2762 | 159 |
| 9 | 2833 | 159 |
| 10 | 2861 | 159 |
| 11 | 2981 | 159 |
| 12 | 3071 | 159 |
| 13 | 3093 | 159 |
| 14 | 3093 | 159 |
| 15 | 3093 | 159 |
| 16 | 3093 | 159 |
| 0 | 3093 | 159 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ 1/2 (* b (+ (/ (* a a) (PI)) (/ (* a b) (PI))))) |
1/2 |
(* b (+ (/ (* a a) (PI)) (/ (* a b) (PI)))) |
b |
(+ (/ (* a a) (PI)) (/ (* a b) (PI))) |
(/ (* a a) (PI)) |
(* a a) |
a |
(PI) |
(/ (* a b) (PI)) |
(* a b) |
(* 1/2 (/ (/ (PI) a) (* a b))) |
1/2 |
(/ (/ (PI) a) (* a b)) |
(/ (PI) a) |
(PI) |
a |
(* a b) |
b |
(/ (* (/ 1/2 a) (PI)) (* b b)) |
(* (/ 1/2 a) (PI)) |
(/ 1/2 a) |
1/2 |
a |
(PI) |
(* b b) |
b |
(/ (/ 1/2 (/ b (/ (PI) a))) a) |
(/ 1/2 (/ b (/ (PI) a))) |
1/2 |
(/ b (/ (PI) a)) |
b |
(/ (PI) a) |
(PI) |
a |
(/ 1 (/ (* a b) (/ 1/2 (/ a (PI))))) |
1 |
(/ (* a b) (/ 1/2 (/ a (PI)))) |
(* a b) |
a |
b |
(/ 1/2 (/ a (PI))) |
1/2 |
(/ a (PI)) |
(PI) |
| Outputs |
|---|
(/ 1/2 (* b (+ (/ (* a a) (PI)) (/ (* a b) (PI))))) |
(/.f64 (PI.f64) (*.f64 b (*.f64 a (/.f64 (+.f64 b a) #s(literal 1/2 binary64))))) |
1/2 |
#s(literal 1/2 binary64) |
(* b (+ (/ (* a a) (PI)) (/ (* a b) (PI)))) |
(/.f64 (*.f64 b (+.f64 b a)) (/.f64 (PI.f64) a)) |
b |
(+ (/ (* a a) (PI)) (/ (* a b) (PI))) |
(/.f64 (+.f64 b a) (/.f64 (PI.f64) a)) |
(/ (* a a) (PI)) |
(/.f64 a (/.f64 (PI.f64) a)) |
(* a a) |
(*.f64 a a) |
a |
(PI) |
(PI.f64) |
(/ (* a b) (PI)) |
(/.f64 b (/.f64 (PI.f64) a)) |
(* a b) |
(*.f64 b a) |
(* 1/2 (/ (/ (PI) a) (* a b))) |
(/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))) |
1/2 |
#s(literal 1/2 binary64) |
(/ (/ (PI) a) (* a b)) |
(/.f64 (PI.f64) (*.f64 b (*.f64 a a))) |
(/ (PI) a) |
(/.f64 (PI.f64) a) |
(PI) |
(PI.f64) |
a |
(* a b) |
(*.f64 b a) |
b |
(/ (* (/ 1/2 a) (PI)) (* b b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (*.f64 b a)) (PI.f64))) |
(* (/ 1/2 a) (PI)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
1/2 |
#s(literal 1/2 binary64) |
a |
(PI) |
(PI.f64) |
(* b b) |
(*.f64 b b) |
b |
(/ (/ 1/2 (/ b (/ (PI) a))) a) |
(/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))) |
(/ 1/2 (/ b (/ (PI) a))) |
(/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal 1/2 binary64) a))) |
1/2 |
#s(literal 1/2 binary64) |
(/ b (/ (PI) a)) |
(/.f64 b (/.f64 (PI.f64) a)) |
b |
(/ (PI) a) |
(/.f64 (PI.f64) a) |
(PI) |
(PI.f64) |
a |
(/ 1 (/ (* a b) (/ 1/2 (/ a (PI))))) |
(/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))) |
1 |
#s(literal 1 binary64) |
(/ (* a b) (/ 1/2 (/ a (PI)))) |
(/.f64 b (/.f64 (PI.f64) (/.f64 a (/.f64 #s(literal 1/2 binary64) a)))) |
(* a b) |
(*.f64 b a) |
a |
b |
(/ 1/2 (/ a (PI))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) |
1/2 |
#s(literal 1/2 binary64) |
(/ a (PI)) |
(/.f64 a (PI.f64)) |
(PI) |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 a b) (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))) |
| ✓ | accuracy | 99.6% | (/.f64 a (PI.f64)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) |
| ✓ | accuracy | 98.9% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))))) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a) |
| ✓ | accuracy | 99.7% | (/.f64 b (/.f64 (PI.f64) a)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) |
| ✓ | accuracy | 99.5% | (/.f64 (PI.f64) a) |
| ✓ | accuracy | 100.0% | (*.f64 b b) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.5% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) |
| ✓ | accuracy | 88.2% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b b)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 (PI.f64) a) (*.f64 a b)) |
| ✓ | accuracy | 99.5% | (/.f64 (PI.f64) a) |
| ✓ | accuracy | 99.3% | (/.f64 (*.f64 a b) (PI.f64)) |
| ✓ | accuracy | 98.9% | (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (/.f64 (*.f64 a a) (PI.f64)) (/.f64 (*.f64 a b) (PI.f64))))) |
| ✓ | accuracy | 96.5% | (+.f64 (/.f64 (*.f64 a a) (PI.f64)) (/.f64 (*.f64 a b) (PI.f64))) |
| ✓ | accuracy | 95.1% | (*.f64 b (+.f64 (/.f64 (*.f64 a a) (PI.f64)) (/.f64 (*.f64 a b) (PI.f64)))) |
| 63.0ms | 256× | 0 | valid |
Compiled 175 to 28 computations (84% saved)
ival-div: 25.0ms (68.9% of total)ival-mult: 9.0ms (24.8% of total)ival-pi: 1.0ms (2.8% of total)ival-add: 1.0ms (2.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (/ (* a a) (PI)) (/ (* a b) (PI)))> |
#<alt (/ 1/2 (* b (+ (/ (* a a) (PI)) (/ (* a b) (PI)))))> |
#<alt (* b (+ (/ (* a a) (PI)) (/ (* a b) (PI))))> |
#<alt (/ (* a a) (PI))> |
#<alt (* 1/2 (/ (/ (PI) a) (* a b)))> |
#<alt (/ (/ (PI) a) (* a b))> |
#<alt (/ (PI) a)> |
#<alt (PI)> |
#<alt (/ (* (/ 1/2 a) (PI)) (* b b))> |
#<alt (* (/ 1/2 a) (PI))> |
#<alt (/ 1/2 a)> |
#<alt (/ (/ 1/2 (/ b (/ (PI) a))) a)> |
#<alt (/ 1/2 (/ b (/ (PI) a)))> |
#<alt (/ b (/ (PI) a))> |
#<alt (/ 1 (/ (* a b) (/ 1/2 (/ a (PI)))))> |
#<alt (/ (* a b) (/ 1/2 (/ a (PI))))> |
#<alt (* a b)> |
#<alt (/ 1/2 (/ a (PI)))> |
#<alt (/ (* a b) (PI))> |
#<alt (* b b)> |
#<alt (/ a (PI))> |
| Outputs |
|---|
#<alt (/ (* a b) (PI))> |
#<alt (* a (+ (/ a (PI)) (/ b (PI))))> |
#<alt (* a (+ (/ a (PI)) (/ b (PI))))> |
#<alt (* a (+ (/ a (PI)) (/ b (PI))))> |
#<alt (/ (pow a 2) (PI))> |
#<alt (* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI)))))> |
#<alt (* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI)))))> |
#<alt (* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI)))))> |
#<alt (/ (pow a 2) (PI))> |
#<alt (* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI)))))> |
#<alt (* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI)))))> |
#<alt (* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI)))))> |
#<alt (/ (pow a 2) (PI))> |
#<alt (+ (/ (* a b) (PI)) (/ (pow a 2) (PI)))> |
#<alt (+ (/ (* a b) (PI)) (/ (pow a 2) (PI)))> |
#<alt (+ (/ (* a b) (PI)) (/ (pow a 2) (PI)))> |
#<alt (/ (* a b) (PI))> |
#<alt (* b (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))> |
#<alt (* b (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))> |
#<alt (* b (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))> |
#<alt (/ (* a b) (PI))> |
#<alt (* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (pow a 2) (* b (PI)))))))> |
#<alt (* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (pow a 2) (* b (PI)))))))> |
#<alt (* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (pow a 2) (* b (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 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3)))))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (- (* b (- (* -1/2 (/ (* b (PI)) (pow a 5))) (* -1/2 (/ (PI) (pow a 4))))) (* 1/2 (/ (PI) (pow a 3)))))) 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 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3)))))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (- (* a (- (* -1/2 (/ (* a (PI)) (pow b 5))) (* -1/2 (/ (PI) (pow b 4))))) (* 1/2 (/ (PI) (pow b 3)))))) 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) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))) (* 1/2 (/ (PI) a))) (pow a 2))> |
#<alt (/ (- (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (* 1/2 (/ (PI) b))) (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))) (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) (PI))> |
#<alt (* b (+ (/ (* a b) (PI)) (/ (pow a 2) (PI))))> |
#<alt (* b (+ (/ (* a b) (PI)) (/ (pow a 2) (PI))))> |
#<alt (* b (+ (/ (* a b) (PI)) (/ (pow a 2) (PI))))> |
#<alt (/ (* a (pow b 2)) (PI))> |
#<alt (* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))> |
#<alt (* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))> |
#<alt (* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))> |
#<alt (/ (* a (pow b 2)) (PI))> |
#<alt (* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))> |
#<alt (* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))> |
#<alt (* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))> |
#<alt (/ (* a (pow b 2)) (PI))> |
#<alt (* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI))))> |
#<alt (* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI))))> |
#<alt (* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI))))> |
#<alt (/ (* (pow a 2) b) (PI))> |
#<alt (* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI)))))> |
#<alt (* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI)))))> |
#<alt (* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI)))))> |
#<alt (/ (* (pow a 2) b) (PI))> |
#<alt (* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI)))))> |
#<alt (* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI)))))> |
#<alt (* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI)))))> |
#<alt (/ (pow a 2) (PI))> |
#<alt (/ (pow a 2) (PI))> |
#<alt (/ (pow a 2) (PI))> |
#<alt (/ (pow a 2) (PI))> |
#<alt (/ (pow a 2) (PI))> |
#<alt (/ (pow a 2) (PI))> |
#<alt (/ (pow a 2) (PI))> |
#<alt (/ (pow a 2) (PI))> |
#<alt (/ (pow a 2) (PI))> |
#<alt (/ (pow a 2) (PI))> |
#<alt (/ (pow a 2) (PI))> |
#<alt (/ (pow a 2) (PI))> |
#<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) b))> |
#<alt (/ (PI) (* (pow a 2) b))> |
#<alt (/ (PI) (* (pow a 2) b))> |
#<alt (/ (PI) (* (pow a 2) b))> |
#<alt (/ (PI) (* (pow a 2) b))> |
#<alt (/ (PI) (* (pow a 2) b))> |
#<alt (/ (PI) (* (pow a 2) b))> |
#<alt (/ (PI) (* (pow a 2) b))> |
#<alt (/ (PI) (* (pow a 2) b))> |
#<alt (/ (PI) (* (pow a 2) b))> |
#<alt (/ (PI) (* (pow a 2) b))> |
#<alt (/ (PI) (* (pow a 2) b))> |
#<alt (/ (PI) (* (pow a 2) b))> |
#<alt (/ (PI) (* (pow a 2) b))> |
#<alt (/ (PI) (* (pow a 2) b))> |
#<alt (/ (PI) (* (pow a 2) b))> |
#<alt (/ (PI) (* (pow a 2) b))> |
#<alt (/ (PI) (* (pow a 2) b))> |
#<alt (/ (PI) (* (pow a 2) b))> |
#<alt (/ (PI) (* (pow a 2) b))> |
#<alt (/ (PI) (* (pow a 2) b))> |
#<alt (/ (PI) (* (pow a 2) b))> |
#<alt (/ (PI) (* (pow a 2) b))> |
#<alt (/ (PI) (* (pow a 2) b))> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) a)> |
#<alt (/ (PI) 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) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (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 (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<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 (* 2 (/ (* (pow a 2) b) (PI)))> |
#<alt (* 2 (/ (* (pow a 2) b) (PI)))> |
#<alt (* 2 (/ (* (pow a 2) b) (PI)))> |
#<alt (* 2 (/ (* (pow a 2) b) (PI)))> |
#<alt (* 2 (/ (* (pow a 2) b) (PI)))> |
#<alt (* 2 (/ (* (pow a 2) b) (PI)))> |
#<alt (* 2 (/ (* (pow a 2) b) (PI)))> |
#<alt (* 2 (/ (* (pow a 2) b) (PI)))> |
#<alt (* 2 (/ (* (pow a 2) b) (PI)))> |
#<alt (* 2 (/ (* (pow a 2) b) (PI)))> |
#<alt (* 2 (/ (* (pow a 2) b) (PI)))> |
#<alt (* 2 (/ (* (pow a 2) b) (PI)))> |
#<alt (* 2 (/ (* (pow a 2) b) (PI)))> |
#<alt (* 2 (/ (* (pow a 2) b) (PI)))> |
#<alt (* 2 (/ (* (pow a 2) b) (PI)))> |
#<alt (* 2 (/ (* (pow a 2) b) (PI)))> |
#<alt (* 2 (/ (* (pow a 2) b) (PI)))> |
#<alt (* 2 (/ (* (pow a 2) b) (PI)))> |
#<alt (* 2 (/ (* (pow a 2) b) (PI)))> |
#<alt (* 2 (/ (* (pow a 2) b) (PI)))> |
#<alt (* 2 (/ (* (pow a 2) b) (PI)))> |
#<alt (* 2 (/ (* (pow a 2) b) (PI)))> |
#<alt (* 2 (/ (* (pow a 2) b) (PI)))> |
#<alt (* 2 (/ (* (pow a 2) b) (PI)))> |
#<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) 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 (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (/ (* a b) (PI))> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (/ a (PI))> |
#<alt (/ a (PI))> |
#<alt (/ a (PI))> |
#<alt (/ a (PI))> |
#<alt (/ a (PI))> |
#<alt (/ a (PI))> |
#<alt (/ a (PI))> |
#<alt (/ a (PI))> |
#<alt (/ a (PI))> |
#<alt (/ a (PI))> |
#<alt (/ a (PI))> |
#<alt (/ a (PI))> |
99 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | 0 | (/ 1/2 (* b (+ (/ (* a a) (PI)) (/ (* a b) (PI))))) |
| 0.0ms | b | @ | 0 | (/ 1/2 (* b (+ (/ (* a a) (PI)) (/ (* a b) (PI))))) |
| 0.0ms | b | @ | 0 | (/ (* a b) (/ 1/2 (/ a (PI)))) |
| 0.0ms | a | @ | 0 | (+ (/ (* a a) (PI)) (/ (* a b) (PI))) |
| 0.0ms | b | @ | 0 | (+ (/ (* a a) (PI)) (/ (* a b) (PI))) |
| 1× | batch-egg-rewrite |
| 4 782× | accelerator-lowering-fma.f32 |
| 4 782× | accelerator-lowering-fma.f64 |
| 4 220× | *-lowering-*.f32 |
| 4 220× | *-lowering-*.f64 |
| 3 732× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 139 |
| 1 | 185 | 133 |
| 2 | 1669 | 133 |
| 0 | 8389 | 133 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (/ (* a a) (PI)) (/ (* a b) (PI))) |
(/ 1/2 (* b (+ (/ (* a a) (PI)) (/ (* a b) (PI))))) |
(* b (+ (/ (* a a) (PI)) (/ (* a b) (PI)))) |
(/ (* a a) (PI)) |
(* 1/2 (/ (/ (PI) a) (* a b))) |
(/ (/ (PI) a) (* a b)) |
(/ (PI) a) |
(PI) |
(/ (* (/ 1/2 a) (PI)) (* b b)) |
(* (/ 1/2 a) (PI)) |
(/ 1/2 a) |
(/ (/ 1/2 (/ b (/ (PI) a))) a) |
(/ 1/2 (/ b (/ (PI) a))) |
(/ b (/ (PI) a)) |
(/ 1 (/ (* a b) (/ 1/2 (/ a (PI))))) |
(/ (* a b) (/ 1/2 (/ a (PI)))) |
(* a b) |
(/ 1/2 (/ a (PI))) |
(/ (* a b) (PI)) |
(* b b) |
(/ a (PI)) |
| Outputs |
|---|
(+.f64 (/.f64 a (/.f64 (PI.f64) a)) (/.f64 b (/.f64 (PI.f64) a))) |
(+.f64 (/.f64 b (/.f64 (PI.f64) a)) (/.f64 a (/.f64 (PI.f64) a))) |
(+.f64 (/.f64 (/.f64 (*.f64 a a) (/.f64 (PI.f64) (/.f64 a (/.f64 (PI.f64) a)))) (/.f64 (-.f64 a b) (/.f64 (PI.f64) a))) (neg.f64 (/.f64 (/.f64 (/.f64 b (/.f64 (PI.f64) a)) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 (-.f64 a b) (/.f64 (PI.f64) a))))) |
(-.f64 (/.f64 a (/.f64 (PI.f64) a)) (/.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)))) |
(-.f64 (/.f64 b (/.f64 (PI.f64) a)) (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) (PI.f64))) |
(-.f64 (/.f64 (/.f64 (*.f64 a a) (/.f64 (PI.f64) (/.f64 a (/.f64 (PI.f64) a)))) (/.f64 (-.f64 a b) (/.f64 (PI.f64) a))) (/.f64 (/.f64 (/.f64 b (/.f64 (PI.f64) a)) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 (-.f64 a b) (/.f64 (PI.f64) a)))) |
(-.f64 (/.f64 (/.f64 (/.f64 b (/.f64 (PI.f64) a)) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 (-.f64 b a) (/.f64 (PI.f64) a))) (/.f64 (/.f64 (*.f64 a a) (/.f64 (PI.f64) (/.f64 a (/.f64 (PI.f64) a)))) (/.f64 (-.f64 b a) (/.f64 (PI.f64) a)))) |
(fma.f64 a (/.f64 a (PI.f64)) (/.f64 b (/.f64 (PI.f64) a))) |
(fma.f64 a (/.f64 b (PI.f64)) (/.f64 a (/.f64 (PI.f64) a))) |
(fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 b (/.f64 (PI.f64) a))) |
(fma.f64 (/.f64 a (/.f64 (PI.f64) a)) #s(literal 1 binary64) (/.f64 b (/.f64 (PI.f64) a))) |
(fma.f64 b (/.f64 a (PI.f64)) (/.f64 a (/.f64 (PI.f64) a))) |
(fma.f64 (*.f64 a b) (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 a (/.f64 (PI.f64) a))) |
(fma.f64 (/.f64 b (/.f64 (PI.f64) a)) #s(literal 1 binary64) (/.f64 a (/.f64 (PI.f64) a))) |
(fma.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (PI.f64) a)) (/.f64 b (/.f64 (PI.f64) a))) |
(fma.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (PI.f64) a)) (/.f64 a (/.f64 (PI.f64) a))) |
(fma.f64 (/.f64 a (PI.f64)) a (/.f64 b (/.f64 (PI.f64) a))) |
(fma.f64 (/.f64 a (PI.f64)) b (/.f64 a (/.f64 (PI.f64) a))) |
(fma.f64 (/.f64 a (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (/.f64 b (/.f64 (PI.f64) a))) |
(fma.f64 (/.f64 a (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (/.f64 a (/.f64 (PI.f64) a))) |
(fma.f64 #s(literal -1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a))) (/.f64 a (/.f64 (PI.f64) a))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) (PI.f64)) (/.f64 b (/.f64 (PI.f64) a))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal -1 binary64) a))) (/.f64 b (/.f64 (PI.f64) a))) |
(fma.f64 (*.f64 a (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 a (/.f64 (PI.f64) a))) |
(fma.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 b (/.f64 (PI.f64) a))) |
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (-.f64 #s(literal 0 binary64) (PI.f64))) (/.f64 a (/.f64 (PI.f64) a))) |
(fma.f64 (/.f64 (*.f64 a a) (/.f64 (PI.f64) (/.f64 a (/.f64 (PI.f64) a)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (/.f64 (PI.f64) a))) (neg.f64 (/.f64 (/.f64 (/.f64 b (/.f64 (PI.f64) a)) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 (-.f64 a b) (/.f64 (PI.f64) a))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 a a) (/.f64 b (/.f64 (PI.f64) a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 a b) (/.f64 a (/.f64 (PI.f64) a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) #s(literal -1 binary64)) (/.f64 b (/.f64 (PI.f64) a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) #s(literal -1 binary64)) (/.f64 a (/.f64 (PI.f64) a))) |
(fma.f64 (/.f64 b (PI.f64)) a (/.f64 a (/.f64 (PI.f64) a))) |
(fma.f64 (/.f64 a (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 b (cbrt.f64 (PI.f64))) (/.f64 a (/.f64 (PI.f64) a))) |
(fma.f64 (/.f64 a (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 a (cbrt.f64 (PI.f64))) (/.f64 b (/.f64 (PI.f64) a))) |
(fma.f64 (/.f64 a (sqrt.f64 (PI.f64))) (/.f64 a (sqrt.f64 (PI.f64))) (/.f64 b (/.f64 (PI.f64) a))) |
(fma.f64 (/.f64 a (sqrt.f64 (PI.f64))) (/.f64 b (sqrt.f64 (PI.f64))) (/.f64 a (/.f64 (PI.f64) a))) |
(fma.f64 (/.f64 b (sqrt.f64 (PI.f64))) (/.f64 a (sqrt.f64 (PI.f64))) (/.f64 a (/.f64 (PI.f64) a))) |
(fma.f64 (/.f64 b (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 a (cbrt.f64 (PI.f64))) (/.f64 a (/.f64 (PI.f64) a))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (PI.f64))) (-.f64 #s(literal 0 binary64) a) (/.f64 a (/.f64 (PI.f64) a))) |
(fma.f64 (/.f64 (*.f64 a b) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) (/.f64 a (/.f64 (PI.f64) a))) |
(fma.f64 (/.f64 (*.f64 a b) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 a (/.f64 (PI.f64) a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) (*.f64 a a)) #s(literal -1 binary64)) (/.f64 b (/.f64 (PI.f64) a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) (*.f64 a b)) #s(literal -1 binary64)) (/.f64 a (/.f64 (PI.f64) a))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 a a)) #s(literal -1 binary64)) (/.f64 b (/.f64 (PI.f64) a))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 a b)) #s(literal -1 binary64)) (/.f64 a (/.f64 (PI.f64) a))) |
(fma.f64 (/.f64 (*.f64 a a) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) (/.f64 b (/.f64 (PI.f64) a))) |
(fma.f64 (/.f64 (*.f64 a a) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 b (/.f64 (PI.f64) a))) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (/.f64 a (PI.f64)) (/.f64 b (/.f64 (PI.f64) a))) |
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(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (PI.f64)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 a (PI.f64)) #s(literal -2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 a #s(literal -1/2 binary64))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) (PI.f64)))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a (PI.f64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) |
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1 binary64) (PI.f64))) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) a) |
(pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 a (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) a) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 a (PI.f64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 a #s(literal 1/2 binary64)))) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 a #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal -1/2 binary64) a)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 #s(literal 0 binary64) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (pow.f64 (/.f64 (/.f64 a (PI.f64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 a (PI.f64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (*.f64 a b))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a))) (/.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))) (/.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)))) |
(neg.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)))) |
(neg.f64 (/.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a))) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a))) #s(literal 1 binary64))) |
(/.f64 a (/.f64 (PI.f64) b)) |
(/.f64 b (/.f64 (PI.f64) a)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/.f64 (/.f64 b (/.f64 (PI.f64) a)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (*.f64 a b) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 a b) (sqrt.f64 (PI.f64))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 b (/.f64 (PI.f64) a)))) |
(/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) (PI.f64))) |
(/.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a))) |
(/.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a))) #s(literal -1 binary64)) |
(/.f64 (/.f64 b (PI.f64)) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (PI.f64))) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 (/.f64 (*.f64 a b) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (/.f64 (*.f64 a b) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (neg.f64 (/.f64 (*.f64 a b) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 (PI.f64)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 a b) (sqrt.f64 (PI.f64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) |
(pow.f64 (/.f64 b (/.f64 (PI.f64) a)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal -1 binary64)) |
(*.f64 a (/.f64 b (PI.f64))) |
(*.f64 b (/.f64 a (PI.f64))) |
(*.f64 (*.f64 a b) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 (/.f64 b (/.f64 (PI.f64) a)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (PI.f64) a))) |
(*.f64 (/.f64 a (PI.f64)) b) |
(*.f64 (/.f64 a (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)))) |
(*.f64 (*.f64 a (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal -1 binary64) (PI.f64))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (-.f64 #s(literal 0 binary64) (PI.f64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 a b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 b (PI.f64)) a) |
(*.f64 (/.f64 a (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 b (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 a (sqrt.f64 (PI.f64))) (/.f64 b (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 b (sqrt.f64 (PI.f64))) (/.f64 a (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 b (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 a (cbrt.f64 (PI.f64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (PI.f64))) (-.f64 #s(literal 0 binary64) a)) |
(*.f64 (/.f64 (*.f64 a b) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (*.f64 a b) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) (*.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (/.f64 b (PI.f64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) a) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) b) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) b) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (/.f64 a (PI.f64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) b) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) b) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) (/.f64 a (-.f64 #s(literal 0 binary64) (PI.f64)))) |
(*.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))) |
(/.f64 (*.f64 b b) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal -1 binary64)) |
(pow.f64 b #s(literal 2 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64)) |
(*.f64 b b) |
(*.f64 (*.f64 b b) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 b b)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b)) |
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) a)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) (PI.f64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))) (/.f64 a (-.f64 #s(literal 0 binary64) (PI.f64)))) |
(neg.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (PI.f64)))) |
(neg.f64 (/.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal 1 binary64))) |
(/.f64 a (PI.f64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 a (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 a (sqrt.f64 (PI.f64))))) |
(/.f64 (/.f64 a (PI.f64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a))) |
(/.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (PI.f64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 (/.f64 a (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (/.f64 a (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 (neg.f64 (/.f64 a (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 (PI.f64)))) |
(/.f64 (neg.f64 (/.f64 a (sqrt.f64 (PI.f64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) |
(pow.f64 (/.f64 (PI.f64) a) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a (PI.f64)) #s(literal 1 binary64)) |
(*.f64 a (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 #s(literal 1 binary64) (/.f64 a (PI.f64))) |
(*.f64 (/.f64 a (PI.f64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) (PI.f64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal -1 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) a) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))) |
(*.f64 (/.f64 a (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 a (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (PI.f64))) |
(*.f64 (pow.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 17 096× | accelerator-lowering-fma.f32 |
| 17 096× | accelerator-lowering-fma.f64 |
| 6 286× | *-lowering-*.f32 |
| 6 286× | *-lowering-*.f64 |
| 2 346× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 181 | 3037 |
| 1 | 499 | 2984 |
| 2 | 1352 | 2881 |
| 3 | 3882 | 2860 |
| 0 | 8242 | 2835 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* a b) (PI)) |
(* a (+ (/ a (PI)) (/ b (PI)))) |
(* a (+ (/ a (PI)) (/ b (PI)))) |
(* a (+ (/ a (PI)) (/ b (PI)))) |
(/ (pow a 2) (PI)) |
(* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI))))) |
(* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI))))) |
(* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI))))) |
(/ (pow a 2) (PI)) |
(* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI))))) |
(* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI))))) |
(* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI))))) |
(/ (pow a 2) (PI)) |
(+ (/ (* a b) (PI)) (/ (pow a 2) (PI))) |
(+ (/ (* a b) (PI)) (/ (pow a 2) (PI))) |
(+ (/ (* a b) (PI)) (/ (pow a 2) (PI))) |
(/ (* a b) (PI)) |
(* b (+ (/ a (PI)) (/ (pow a 2) (* b (PI))))) |
(* b (+ (/ a (PI)) (/ (pow a 2) (* b (PI))))) |
(* b (+ (/ a (PI)) (/ (pow a 2) (* b (PI))))) |
(/ (* a b) (PI)) |
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (pow a 2) (* b (PI))))))) |
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (pow a 2) (* b (PI))))))) |
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (pow a 2) (* b (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 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3)))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (- (* b (- (* -1/2 (/ (* b (PI)) (pow a 5))) (* -1/2 (/ (PI) (pow a 4))))) (* 1/2 (/ (PI) (pow a 3)))))) 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 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3)))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (- (* a (- (* -1/2 (/ (* a (PI)) (pow b 5))) (* -1/2 (/ (PI) (pow b 4))))) (* 1/2 (/ (PI) (pow b 3)))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (- (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))) (* 1/2 (/ (PI) a))) (pow a 2)) |
(/ (- (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (* 1/2 (/ (PI) b))) (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))) (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) (PI)) |
(* b (+ (/ (* a b) (PI)) (/ (pow a 2) (PI)))) |
(* b (+ (/ (* a b) (PI)) (/ (pow a 2) (PI)))) |
(* b (+ (/ (* a b) (PI)) (/ (pow a 2) (PI)))) |
(/ (* a (pow b 2)) (PI)) |
(* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI))))) |
(* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI))))) |
(* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI))))) |
(/ (* a (pow b 2)) (PI)) |
(* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI))))) |
(* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI))))) |
(* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI))))) |
(/ (* a (pow b 2)) (PI)) |
(* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI)))) |
(* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI)))) |
(* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI)))) |
(/ (* (pow a 2) b) (PI)) |
(* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI))))) |
(* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI))))) |
(* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI))))) |
(/ (* (pow a 2) b) (PI)) |
(* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI))))) |
(* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI))))) |
(* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (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) (PI)) |
(* 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) b)) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) a) |
(/ (PI) 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) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(* 1/2 (/ (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))) |
(/ (* 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) (PI)) |
(* 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))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* 2 (/ (* (pow a 2) 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) |
(* 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)) |
(/ (* 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) (PI)) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(/ a (PI)) |
(/ a (PI)) |
(/ a (PI)) |
(/ a (PI)) |
(/ a (PI)) |
(/ a (PI)) |
(/ a (PI)) |
(/ a (PI)) |
(/ a (PI)) |
(/ a (PI)) |
(/ a (PI)) |
(/ a (PI)) |
| Outputs |
|---|
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(* a (+ (/ a (PI)) (/ b (PI)))) |
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b)) |
(* a (+ (/ a (PI)) (/ b (PI)))) |
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b)) |
(* a (+ (/ a (PI)) (/ b (PI)))) |
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b)) |
(/ (pow a 2) (PI)) |
(/.f64 (*.f64 a a) (PI.f64)) |
(* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI))))) |
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b)) |
(* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI))))) |
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b)) |
(* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI))))) |
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b)) |
(/ (pow a 2) (PI)) |
(/.f64 (*.f64 a a) (PI.f64)) |
(* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI))))) |
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b)) |
(* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI))))) |
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b)) |
(* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI))))) |
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b)) |
(/ (pow a 2) (PI)) |
(/.f64 (*.f64 a a) (PI.f64)) |
(+ (/ (* a b) (PI)) (/ (pow a 2) (PI))) |
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b)) |
(+ (/ (* a b) (PI)) (/ (pow a 2) (PI))) |
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b)) |
(+ (/ (* a b) (PI)) (/ (pow a 2) (PI))) |
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(* b (+ (/ a (PI)) (/ (pow a 2) (* b (PI))))) |
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b)) |
(* b (+ (/ a (PI)) (/ (pow a 2) (* b (PI))))) |
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b)) |
(* b (+ (/ a (PI)) (/ (pow a 2) (* b (PI))))) |
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (pow a 2) (* b (PI))))))) |
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b)) |
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (pow a 2) (* b (PI))))))) |
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b)) |
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (pow a 2) (* b (PI))))))) |
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.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)) (+.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) #s(literal 1/2 binary64))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (- (* 1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3)))))) b) |
(/.f64 (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) #s(literal 1/2 binary64)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (- (* b (- (* -1/2 (/ (* b (PI)) (pow a 5))) (* -1/2 (/ (PI) (pow a 4))))) (* 1/2 (/ (PI) (pow a 3)))))) b) |
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 a #s(literal 5 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))))) (*.f64 b b)) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (*.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) (/.f64 (PI.f64) (*.f64 b b))) a) |
(/ (+ (* -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 (*.f64 (PI.f64) (+.f64 (*.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) 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 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))) (*.f64 b b)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a) |
(/ (+ (* -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 (*.f64 (PI.f64) (+.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) b)) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 (PI.f64) (+.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) b) (*.f64 (PI.f64) #s(literal -1/2 binary64))) b)) (*.f64 b b)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (- (* 1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3)))))) a) |
(/.f64 (+.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 a (*.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 b #s(literal 4 binary64)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (- (* a (- (* -1/2 (/ (* a (PI)) (pow b 5))) (* -1/2 (/ (PI) (pow b 4))))) (* 1/2 (/ (PI) (pow b 3)))))) a) |
(/.f64 (+.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 a a) (*.f64 (PI.f64) (-.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 4 binary64))))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.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) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))) (* 1/2 (/ (PI) a))) (pow a 2)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 b a) #s(literal -1 binary64))))) (*.f64 a a)) |
(/ (- (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (* 1/2 (/ (PI) b))) (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))) (pow a 2)) |
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(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64)) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64)) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64)) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64)) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64)) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64)) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64)) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64)) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64)) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64)) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64)) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64)) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64)) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64)) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64)) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64)) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64)) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64)) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64)) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64)) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64)) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64)) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64)) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64)) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* 1/2 (/ (PI) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) |
(* 1/2 (/ (PI) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) |
(* 1/2 (/ (PI) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) |
(* 1/2 (/ (PI) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) |
(* 1/2 (/ (PI) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) |
(* 1/2 (/ (PI) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) |
(* 1/2 (/ (PI) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) |
(* 1/2 (/ (PI) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) |
(* 1/2 (/ (PI) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) |
(* 1/2 (/ (PI) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) |
(* 1/2 (/ (PI) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) |
(* 1/2 (/ (PI) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(/ a (PI)) |
(/.f64 a (PI.f64)) |
(/ a (PI)) |
(/.f64 a (PI.f64)) |
(/ a (PI)) |
(/.f64 a (PI.f64)) |
(/ a (PI)) |
(/.f64 a (PI.f64)) |
(/ a (PI)) |
(/.f64 a (PI.f64)) |
(/ a (PI)) |
(/.f64 a (PI.f64)) |
(/ a (PI)) |
(/.f64 a (PI.f64)) |
(/ a (PI)) |
(/.f64 a (PI.f64)) |
(/ a (PI)) |
(/.f64 a (PI.f64)) |
(/ a (PI)) |
(/.f64 a (PI.f64)) |
(/ a (PI)) |
(/.f64 a (PI.f64)) |
(/ a (PI)) |
(/.f64 a (PI.f64)) |
Compiled 30 762 to 4 290 computations (86.1% saved)
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 026 | 10 | 2 036 |
| Fresh | 11 | 3 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 3 | 0 | 3 |
| Total | 2 043 | 15 | 2 058 |
| Status | Accuracy | Program |
|---|---|---|
| 67.3% | (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64))) | |
| 52.1% | (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 b (PI.f64))) | |
| 57.3% | (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) a) a) | |
| 57.3% | (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (PI.f64))) a) | |
| ✓ | 57.2% | (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a) |
| 57.2% | (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64))) | |
| 67.2% | (/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 b (/.f64 (PI.f64) a))) | |
| 94.4% | (/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a (+.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64))))) | |
| ✓ | 61.1% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b b)) |
| 67.1% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) b)) | |
| 56.8% | (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 a b)) (PI.f64))) | |
| 94.1% | (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (/.f64 a (PI.f64)) (+.f64 a b)))) | |
| 92.6% | (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (/.f64 b (PI.f64)) (+.f64 a b)))) | |
| 52.1% | (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (PI.f64) b)) | |
| 57.3% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) |
Compiled 895 to 307 computations (65.7% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (PI.f64) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 a b)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a)) |
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) b) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b b)) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) b) |
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 b (/.f64 (PI.f64) a))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 a b)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (PI.f64))) a) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b)) |
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) a) a) |
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 b (PI.f64))) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) b) b) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b) |
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) b) a) |
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b)) (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) |
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (/.f64 #s(literal 1 binary64) (*.f64 a b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (/.f64 b (PI.f64)) (+.f64 a b)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (/.f64 a (PI.f64)) (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a) (-.f64 b a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) a) (-.f64 b a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a b) (-.f64 #s(literal 0 binary64) (PI.f64))) (-.f64 b a))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 a 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 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) b) |
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a (+.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64))))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (-.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (*.f64 b b)) |
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) b) b) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (/.f64 (*.f64 a a) (PI.f64)) (/.f64 (*.f64 a b) (PI.f64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) b)) (/.f64 b (PI.f64))) |
(/.f64 (*.f64 (-.f64 b a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (*.f64 (*.f64 a b) b)) |
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a a))) |
(*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 b a))) |
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (+.f64 b a)) (-.f64 b a)) |
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) |
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 (/.f64 (-.f64 (*.f64 (PI.f64) b) (*.f64 (PI.f64) a)) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (-.f64 b a)) |
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (PI.f64) b) (*.f64 (PI.f64) a)) a) b) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (pow.f64 (/.f64 (-.f64 b a) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
3 calls:
| 32.0ms | a |
| 15.0ms | b |
| 15.0ms | (*.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 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (PI.f64) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 a b)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a)) |
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) b) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b b)) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) b) |
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 b (/.f64 (PI.f64) a))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 a b)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (PI.f64))) a) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b)) |
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) a) a) |
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 b (PI.f64))) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) b) b) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b) |
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) b) a) |
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b)) (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) |
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (/.f64 #s(literal 1 binary64) (*.f64 a b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (/.f64 b (PI.f64)) (+.f64 a b)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (/.f64 a (PI.f64)) (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a) (-.f64 b a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) a) (-.f64 b a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a b) (-.f64 #s(literal 0 binary64) (PI.f64))) (-.f64 b a))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 a 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 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) b) |
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a (+.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64))))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (-.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (*.f64 b b)) |
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) b) b) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (/.f64 (*.f64 a a) (PI.f64)) (/.f64 (*.f64 a b) (PI.f64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) b)) (/.f64 b (PI.f64))) |
(/.f64 (*.f64 (-.f64 b a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (*.f64 (*.f64 a b) b)) |
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a a))) |
(*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
| Outputs |
|---|
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a (+.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64))))) |
2 calls:
| 36.0ms | b |
| 13.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | a |
| 99.0% | 2 | b |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (PI.f64) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 a b)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a)) |
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) b) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b b)) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) b) |
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 b (/.f64 (PI.f64) a))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 a b)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (PI.f64))) a) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b)) |
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) a) a) |
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 b (PI.f64))) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) b) b) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b) |
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) b) a) |
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b)) (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) |
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (/.f64 #s(literal 1 binary64) (*.f64 a b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (/.f64 b (PI.f64)) (+.f64 a b)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (/.f64 a (PI.f64)) (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a) (-.f64 b a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) a) (-.f64 b a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a b) (-.f64 #s(literal 0 binary64) (PI.f64))) (-.f64 b a))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 a 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 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) b) |
| Outputs |
|---|
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (/.f64 a (PI.f64)) (+.f64 a b)))) |
1 calls:
| 17.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | a |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (PI.f64) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 a b)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a)) |
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) b) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b b)) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) b) |
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 b (/.f64 (PI.f64) a))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 a b)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (PI.f64))) a) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b)) |
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) a) a) |
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 b (PI.f64))) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) b) b) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b) |
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) b) a) |
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b)) (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) |
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (/.f64 #s(literal 1 binary64) (*.f64 a b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (/.f64 b (PI.f64)) (+.f64 a b)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (/.f64 a (PI.f64)) (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a) (-.f64 b a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) a) (-.f64 b a)) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (/.f64 a (PI.f64)) (+.f64 a b)))) |
1 calls:
| 9.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | a |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (PI.f64) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 a b)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a)) |
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) b) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b b)) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) b) |
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 b (/.f64 (PI.f64) a))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 a b)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (PI.f64))) a) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b)) |
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) a) a) |
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 b (PI.f64))) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) b) b) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b) |
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) b) a) |
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b)) (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) |
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (/.f64 #s(literal 1 binary64) (*.f64 a b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (/.f64 b (PI.f64)) (+.f64 a b)))) |
| Outputs |
|---|
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (/.f64 b (PI.f64)) (+.f64 a b)))) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64))) |
2 calls:
| 8.0ms | a |
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 2 | b |
| 97.9% | 2 | a |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (PI.f64) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 a b)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a)) |
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) b) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b b)) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) b) |
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 b (/.f64 (PI.f64) a))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 a b)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (PI.f64))) a) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b)) |
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) a) a) |
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 b (PI.f64))) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) b) b) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b) |
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) b) a) |
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b)) (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) |
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (/.f64 #s(literal 1 binary64) (*.f64 a b))) |
| Outputs |
|---|
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b)) (-.f64 b a))) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64))) |
2 calls:
| 8.0ms | a |
| 7.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.9% | 2 | a |
| 90.4% | 2 | b |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (PI.f64) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 a b)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a)) |
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) b) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b b)) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) b) |
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 b (/.f64 (PI.f64) a))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 a b)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (PI.f64))) a) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b)) |
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) a) a) |
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 b (PI.f64))) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) b) b) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b) |
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) b) a) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64))) |
2 calls:
| 10.0ms | a |
| 7.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.4% | 2 | b |
| 89.3% | 2 | a |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (PI.f64) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 a b)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a)) |
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) b) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b b)) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) b) |
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 b (/.f64 (PI.f64) a))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 a b)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (PI.f64))) a) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b)) |
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) a) a) |
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 b (PI.f64))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b)) |
1 calls:
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.3% | 2 | b |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) |
2 calls:
| 3.0ms | b |
| 2.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.3% | 1 | a |
| 57.3% | 1 | b |
Compiled 6 to 4 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b))) |
2 calls:
| 1.0ms | b |
| 1.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.2% | 1 | a |
| 57.2% | 1 | b |
Compiled 6 to 4 computations (33.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | -3.2074175672754444e+158 | -8.4812368288638e+156 |
| 11.0ms | 112× | 0 | valid |
Compiled 250 to 181 computations (27.6% saved)
ival-div: 4.0ms (47.7% of total)ival-mult: 3.0ms (35.8% of total)ival-sub: 1.0ms (11.9% 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 |
|---|---|---|
| 15.0ms | -3.2074175672754444e+158 | -8.4812368288638e+156 |
| 11.0ms | 112× | 0 | valid |
Compiled 236 to 174 computations (26.3% saved)
ival-div: 4.0ms (47.7% of total)ival-mult: 3.0ms (35.8% of total)ival-sub: 1.0ms (11.9% 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 |
|---|---|---|
| 24.0ms | -1.6775541241614269e+100 | -1.3688118731153214e+88 |
| 19.0ms | 160× | 0 | valid |
Compiled 286 to 210 computations (26.6% saved)
ival-div: 9.0ms (59.6% of total)ival-mult: 4.0ms (26.5% of total)ival-pi: 1.0ms (6.6% of total)ival-sub: 1.0ms (6.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 6.126212223676233e+79 | 1.0687746291184677e+80 |
| 9.0ms | 64× | 0 | valid |
Compiled 130 to 96 computations (26.2% saved)
ival-div: 2.0ms (50.5% of total)ival-sub: 1.0ms (25.3% of total)ival-mult: 1.0ms (25.3% 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 |
|---|---|---|
| 18.0ms | -2.1349580570851624e-71 | -1.741230133669604e-80 |
| 13.0ms | 144× | 0 | valid |
Compiled 260 to 191 computations (26.5% saved)
ival-div: 4.0ms (42.2% of total)ival-mult: 3.0ms (31.6% of total)ival-pi: 1.0ms (10.5% of total)ival-sub: 1.0ms (10.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.1200689624415138e-18 | 2.257773816556388e-16 |
| 11.0ms | 112× | 0 | valid |
Compiled 194 to 146 computations (24.7% saved)
ival-div: 4.0ms (49.5% of total)ival-mult: 3.0ms (37.1% of total)ival-sub: 1.0ms (12.4% 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 |
|---|---|---|
| 17.0ms | 1.1200689624415138e-18 | 2.257773816556388e-16 |
| 10.0ms | 112× | 0 | valid |
Compiled 194 to 146 computations (24.7% saved)
ival-div: 3.0ms (41% of total)ival-mult: 3.0ms (41% of total)ival-sub: 1.0ms (13.7% 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 |
| 384× | distribute-lft-neg-in_binary64 |
| 252× | neg-mul-1_binary64 |
| 220× | cancel-sign-sub_binary64 |
| 214× | neg-sub0_binary64 |
| 156× | sub-neg_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 207 |
| 1 | 85 | 207 |
| 2 | 104 | 207 |
| 3 | 120 | 207 |
| 4 | 134 | 207 |
| 5 | 146 | 205 |
| 6 | 165 | 205 |
| 7 | 210 | 205 |
| 8 | 311 | 205 |
| 9 | 528 | 205 |
| 10 | 809 | 205 |
| 11 | 1032 | 205 |
| 12 | 1171 | 205 |
| 13 | 1223 | 205 |
| 14 | 1235 | 205 |
| 15 | 1237 | 205 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(if (<=.f64 a #s(literal -8499999999999999477480210813634489141439283747662378251917643010881370359896673165498550867643308880043464204309414132352982384553316980317467619484650962944 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a (+.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64)))))) |
(if (<=.f64 a #s(literal -8499999999999999477480210813634489141439283747662378251917643010881370359896673165498550867643308880043464204309414132352982384553316980317467619484650962944 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (/.f64 a (PI.f64)) (+.f64 a b))))) |
(if (<=.f64 a #s(literal -12500000000000000252735989089449337357201204040179471764222210702600050062477053866983722844160 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (/.f64 a (PI.f64)) (+.f64 a b))))) |
(if (<=.f64 b #s(literal 105000000000000000686142180872268057226260194263201051546132922579596192201572352 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (/.f64 b (PI.f64)) (+.f64 a b)))) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64)))) |
(if (<=.f64 a #s(literal -733332951480415/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b)) (-.f64 b a))) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64)))) |
(if (<=.f64 b #s(literal 6490371073168535/40564819207303340847894502572032 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64)))) |
(if (<=.f64 b #s(literal 1979563177316403/162259276829213363391578010288128 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(if (<=.f64 a #s(literal -8499999999999999477480210813634489141439283747662378251917643010881370359896673165498550867643308880043464204309414132352982384553316980317467619484650962944 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a (+.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64)))))) |
(if (<=.f64 a #s(literal -8499999999999999477480210813634489141439283747662378251917643010881370359896673165498550867643308880043464204309414132352982384553316980317467619484650962944 binary64)) (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) (-.f64 a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a (+.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64)))))) |
(if (<=.f64 a #s(literal -8499999999999999477480210813634489141439283747662378251917643010881370359896673165498550867643308880043464204309414132352982384553316980317467619484650962944 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (/.f64 a (PI.f64)) (+.f64 a b))))) |
(if (<=.f64 a #s(literal -8499999999999999477480210813634489141439283747662378251917643010881370359896673165498550867643308880043464204309414132352982384553316980317467619484650962944 binary64)) (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) (-.f64 a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (/.f64 a (PI.f64)) (+.f64 a b))))) |
(if (<=.f64 a #s(literal -12500000000000000252735989089449337357201204040179471764222210702600050062477053866983722844160 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (/.f64 a (PI.f64)) (+.f64 a b))))) |
(if (<=.f64 b #s(literal 105000000000000000686142180872268057226260194263201051546132922579596192201572352 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (/.f64 b (PI.f64)) (+.f64 a b)))) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64)))) |
(if (<=.f64 a #s(literal -733332951480415/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b)) (-.f64 b a))) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64)))) |
(if (<=.f64 b #s(literal 6490371073168535/40564819207303340847894502572032 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64)))) |
(if (<=.f64 b #s(literal 1979563177316403/162259276829213363391578010288128 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b))) |
| 17 096× | accelerator-lowering-fma.f32 |
| 17 096× | accelerator-lowering-fma.f64 |
| 12 726× | accelerator-lowering-fma.f32 |
| 12 726× | accelerator-lowering-fma.f64 |
| 10 624× | accelerator-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 181 | 3037 |
| 1 | 499 | 2984 |
| 2 | 1352 | 2881 |
| 3 | 3882 | 2860 |
| 0 | 8242 | 2835 |
| 0 | 26 | 139 |
| 1 | 185 | 133 |
| 2 | 1669 | 133 |
| 0 | 8389 | 133 |
| 0 | 32 | 156 |
| 1 | 251 | 154 |
| 2 | 2788 | 154 |
| 0 | 8176 | 154 |
| 0 | 303 | 2686 |
| 1 | 798 | 2643 |
| 2 | 2347 | 2553 |
| 3 | 6483 | 2553 |
| 0 | 8195 | 2428 |
| 0 | 32 | 141 |
| 1 | 220 | 139 |
| 2 | 2101 | 139 |
| 0 | 8532 | 139 |
| 0 | 623 | 4717 |
| 1 | 2085 | 4148 |
| 2 | 7989 | 4116 |
| 0 | 8457 | 3988 |
| 0 | 503 | 5678 |
| 1 | 1548 | 4972 |
| 2 | 5390 | 3958 |
| 0 | 8937 | 3833 |
| 0 | 20 | 91 |
| 1 | 159 | 87 |
| 2 | 1734 | 87 |
| 0 | 8425 | 87 |
| 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 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 673 to 397 computations (41% saved)
(sort a b)
Compiled 536 to 204 computations (61.9% saved)
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