
Time bar (total: 7.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 5 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 6 |
| 46.9% | 46.8% | 53.1% | 0.1% | 0% | 0% | 0% | 7 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 8 |
| 71.1% | 71% | 28.9% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 85% | 84.9% | 15% | 0.1% | 0% | 0% | 0% | 11 |
| 87.9% | 87.8% | 12.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 23 to 17 computations (26.1% saved)
| 1.1s | 8 256× | 0 | valid |
ival-mult: 388.0ms (42.3% of total)ival-div: 375.0ms (40.9% of total)ival-sub: 80.0ms (8.7% of total)ival-pi: 52.0ms (5.7% of total)exact: 9.0ms (1% of total)ival-true: 6.0ms (0.7% of total)ival-assert: 4.0ms (0.4% of total)adjust: 2.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 33 | 0 | - | 3 | (-2.8319351367831444e-213 -3.1363138884392134e+161) | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 14 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 a a)) |
| 6 | 2 | (-1.0324402168868159e-286 -4.130426240856377e+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 | 30 | 0 |
-.f64 | (-.f64 (*.f64 b b) (*.f64 a a)) | nan-rescue | 14 | 0 |
| ↳ | (*.f64 b b) | overflow | 57 | |
| ↳ | (*.f64 a a) | overflow | 71 | |
/.f64 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) | n/o | 8 | 0 |
| ↳ | (*.f64 b b) | overflow | 57 | |
| ↳ | (*.f64 a a) | overflow | 71 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 a a)) | overflow | 114 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 48 | 8 |
| - | 4 | 196 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 48 | 0 | 8 |
| - | 4 | 0 | 196 |
| number | freq |
|---|---|
| 0 | 204 |
| 1 | 52 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 61.0ms | 512× | 0 | valid |
Compiled 179 to 49 computations (72.6% saved)
ival-div: 18.0ms (42.3% of total)ival-mult: 12.0ms (28.2% of total)ival-sub: 6.0ms (14.1% of total)ival-pi: 4.0ms (9.4% of total)exact: 1.0ms (2.4% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 109 |
| 1 | 108 | 95 |
| 2 | 398 | 95 |
| 3 | 1769 | 95 |
| 4 | 4648 | 95 |
| 0 | 15 | 21 |
| 0 | 26 | 21 |
| 1 | 50 | 19 |
| 2 | 143 | 19 |
| 3 | 572 | 19 |
| 4 | 2739 | 19 |
| 5 | 5032 | 19 |
| 0 | 8161 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (+.f64 a b)) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (PI.f64)) |
Compiled 21 to 15 computations (28.6% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 80.2% | (*.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 21 to 15 computations (28.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 (PI.f64) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) | |
| cost-diff | 2 | (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 77 |
| 0 | 26 | 77 |
| 1 | 50 | 73 |
| 2 | 143 | 73 |
| 3 | 572 | 73 |
| 4 | 2739 | 73 |
| 5 | 5032 | 73 |
| 0 | 8161 | 73 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) |
#s(literal 1 binary64) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 b b) |
b |
(*.f64 a a) |
a |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) b) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (+.f64 a b)) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (PI.f64)) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(PI.f64) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))) |
#s(literal 1 binary64) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (-.f64 b a) (+.f64 a b)) |
(*.f64 b b) |
b |
(*.f64 a a) |
a |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) b) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1953125 | (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) | |
| accuracy | 0.8384455222110075 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) | |
| accuracy | 3.144516800811441 | (-.f64 (*.f64 b b) (*.f64 a a)) | |
| accuracy | 6.660058071111058 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 26.0ms | 256× | 0 | valid |
Compiled 79 to 17 computations (78.5% saved)
ival-div: 7.0ms (39.8% of total)ival-mult: 6.0ms (34.1% of total)ival-sub: 3.0ms (17% of total)ival-pi: 1.0ms (5.7% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) |
| Outputs |
|---|
(* 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) (* 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) |
(pow b 2) |
(+ (* -1 (pow a 2)) (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))) |
(* -1/2 (/ (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) 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 (pow a 2)) |
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) |
(/ -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 (/ (+ (* -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 (/ (* (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 (/ (* 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) |
(- (pow b 2) (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))) |
(/ (+ (* 1/2 (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) 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)) |
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (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 (/ (+ (* -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)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | a | @ | 0 | ((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a)))) |
| 2.0ms | b | @ | inf | ((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a)))) |
| 2.0ms | a | @ | inf | ((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a)))) |
| 2.0ms | b | @ | 0 | ((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a)))) |
| 1.0ms | a | @ | -inf | ((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 291 | 1145 |
| 1 | 905 | 1099 |
| 2 | 3533 | 1055 |
| 0 | 8522 | 1011 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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) (* 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) |
(pow b 2) |
(+ (* -1 (pow a 2)) (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))) |
(* -1/2 (/ (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) 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 (pow a 2)) |
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) |
(/ -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 (/ (+ (* -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 (/ (* (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 (/ (* 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) |
(- (pow b 2) (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))) |
(/ (+ (* 1/2 (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) 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)) |
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (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 (/ (+ (* -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)) |
| Outputs |
|---|
(* 1/2 (/ (PI) (pow b 2))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4)))) |
(*.f64 (fma.f64 a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a) (/.f64 (PI.f64) (*.f64 b b))) #s(literal 1/2 binary64)) |
(+ (* 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) (fma.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) (*.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b)))) |
(+ (* 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)))))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 8 binary64))) (*.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 a a))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64)) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b)) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a) a (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b)) a) |
(pow b 2) |
(*.f64 b b) |
(+ (* -1 (pow a 2)) (pow b 2)) |
(fma.f64 (neg.f64 a) a (*.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 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) b) b) |
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2))) |
(fma.f64 a (/.f64 a (pow.f64 b #s(literal 4 binary64))) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) |
(+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) |
(fma.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 a (/.f64 a (pow.f64 b #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) (/.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) b) b)) |
(* -1/2 (/ (PI) (pow a 2))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 b b) (PI.f64))) |
(/ (+ (* -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) (fma.f64 (PI.f64) (fma.f64 (/.f64 b a) (/.f64 b a) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (PI.f64))) (*.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)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) (pow.f64 b #s(literal 6 binary64)) (*.f64 (PI.f64) (fma.f64 (/.f64 b a) (/.f64 b a) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))) (PI.f64))) (*.f64 a a)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) b) a)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) a) a) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)))) a)) (neg.f64 a))) (*.f64 a a)) |
(* -1 (pow a 2)) |
(*.f64 (neg.f64 a) a) |
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) |
(*.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 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 (neg.f64 b) (/.f64 b (pow.f64 a #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 a a))) |
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64))) (*.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 (neg.f64 (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64))) (+.f64 (fma.f64 (/.f64 b a) (/.f64 b a) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) b) a)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) a) a) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)))) a)) (neg.f64 a))) (*.f64 a a)) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 b b) (PI.f64))) |
(+ (* -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) (fma.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) (*.f64 b b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 b b) (/.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)))))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) a) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 8 binary64))) (*.f64 b b) (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64)))) (*.f64 b b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))))) (*.f64 b b))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a)) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) b (/.f64 (neg.f64 (PI.f64)) (pow.f64 a #s(literal 4 binary64))))) b) b (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a)) b) |
(- (pow b 2) (pow a 2)) |
(fma.f64 (neg.f64 a) a (*.f64 b b)) |
(- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2))) |
(-.f64 (*.f64 (neg.f64 b) (/.f64 b (pow.f64 a #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 a a))) |
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) |
(-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (/.f64 b (pow.f64 a #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 b b)) (/.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 (-.f64 (*.f64 (neg.f64 b) (/.f64 b (pow.f64 a #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 6 binary64)))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) |
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2)) |
(*.f64 (fma.f64 a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a) (/.f64 (PI.f64) (*.f64 b b))) #s(literal 1/2 binary64)) |
(/ (+ (* 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) (fma.f64 (PI.f64) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (PI.f64))) (*.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 (fma.f64 (pow.f64 a #s(literal 6 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (PI.f64) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))))) (PI.f64))) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) b) b) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)))) b)) (neg.f64 b))) (*.f64 b b)) |
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2))))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)) |
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) b) b) |
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/.f64 (+.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.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 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) 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 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)))) b)) (neg.f64 b))) (*.f64 b b)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 54 |
| 0 | 26 | 54 |
| 1 | 112 | 50 |
| 2 | 980 | 50 |
| 0 | 8912 | 50 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) |
| Outputs |
|---|
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 a b)) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 b a))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (+.f64 a b)) (/.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 b a))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (-.f64 b a))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (-.f64 b a)) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (+.f64 a b))) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (sqrt.f64 (PI.f64)) (-.f64 b a))) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (cbrt.f64 (PI.f64)) (-.f64 b a))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 b a)) (/.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (+.f64 a b))) |
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 b a))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (pow.f64 (+.f64 a b) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 a a (*.f64 b b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a))) |
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (+.f64 a b)) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (+.f64 a b))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a))) |
(*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 (PI.f64) (/.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) #s(literal -2 binary64))) |
(*.f64 (PI.f64) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (+.f64 a b)) (-.f64 b a)) |
(/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))) |
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal -2 binary64)) |
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))) |
(/.f64 (PI.f64) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))) |
(neg.f64 (*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (PI.f64) #s(literal -2 binary64)))) |
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)))) |
(neg.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(fma.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 a a) (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 b b))) |
(fma.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 b b) (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 a a))) |
(fma.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (pow.f64 b #s(literal 4 binary64)) (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))))) |
(fma.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))))) |
(fma.f64 (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))))) |
(fma.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))))) |
(fma.f64 (*.f64 a a) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (*.f64 b b) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))) |
(fma.f64 (*.f64 b b) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (*.f64 a a) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))) |
(+.f64 (*.f64 (*.f64 a a) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 (*.f64 b b) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))) |
(+.f64 (*.f64 (*.f64 b b) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 (*.f64 a a) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))) |
(+.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (*.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))))) |
(+.f64 (*.f64 (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))))) |
(+.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (*.f64 (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))))) |
(+.f64 (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 a a)) (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 b b))) |
(+.f64 (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 a a))) |
(+.f64 (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (pow.f64 b #s(literal 4 binary64)))) |
(+.f64 (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))))) |
(+.f64 (/.f64 (cosh.f64 (log.f64 (PI.f64))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))) (/.f64 (sinh.f64 (log.f64 (PI.f64))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(*.f64 (/.f64 (-.f64 b a) b) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))) a)) |
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))) a) (/.f64 (-.f64 b a) b)) |
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))) b) (/.f64 (-.f64 b a) a)) |
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (+.f64 a b))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (+.f64 a b)) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (+.f64 a b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (+.f64 a b)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a))) |
(*.f64 (/.f64 (-.f64 b a) a) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))) b)) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))) |
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (/.f64 (-.f64 b a) a) b)) |
(*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))) (/.f64 (+.f64 a b) (*.f64 a b))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))) (*.f64 (neg.f64 a) b)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (/.f64 (-.f64 b a) a) b))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (PI.f64) (/.f64 (/.f64 (-.f64 b a) a) b))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))))) (/.f64 (+.f64 a b) (*.f64 a b))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))))) |
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(fma.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))))) |
(fma.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 a a) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 b b) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 b b) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 a a) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 a a) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 b b) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 b b) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 a a) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))) (*.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 a a)) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 b b))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 a a))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1 binary64)))) |
Compiled 11 517 to 1 606 computations (86.1% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 370 | 15 | 385 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 371 | 15 | 386 |
| Status | Accuracy | Program |
|---|---|---|
| 82.2% | (/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))) | |
| 88.8% | (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) | |
| 86.4% | (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))) | |
| 86.4% | (/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))) #s(literal 2 binary64)) | |
| 82.2% | (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (PI.f64) #s(literal 2 binary64))) | |
| ▶ | 88.6% | (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) |
| 80.1% | (*.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #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))) | |
| ▶ | 89.5% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 55.3% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) b) b)) | |
| 62.5% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) b) a)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) a) a)) | |
| 49.1% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) a)) | |
| ▶ | 53.4% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b)) |
| 57.0% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64))) | |
| ▶ | 60.5% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))) |
| ▶ | 49.0% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))) |
Compiled 828 to 560 computations (32.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 b a) a) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 b a) a) b) | |
| cost-diff | 0 | (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) | |
| cost-diff | 2 | (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) | |
| cost-diff | 0 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b)) | |
| cost-diff | 2 | (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 (PI.f64) (*.f64 b b)) | |
| cost-diff | 0 | (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) | |
| cost-diff | 0 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))) | |
| cost-diff | 0 | (/.f64 (PI.f64) (*.f64 a a)) | |
| cost-diff | 0 | (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (+.f64 a b)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) | |
| cost-diff | 2 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 370 |
| 0 | 82 | 364 |
| 1 | 165 | 358 |
| 2 | 502 | 358 |
| 3 | 1889 | 344 |
| 4 | 7046 | 344 |
| 0 | 8262 | 344 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) (+.f64 a b)) |
#s(literal 2 binary64) |
(+.f64 a b) |
a |
b |
(/.f64 (PI.f64) (-.f64 b a)) |
(PI.f64) |
(-.f64 b a) |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) b) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (PI.f64) (*.f64 a a)) |
(PI.f64) |
(*.f64 a a) |
a |
b |
#s(literal 1/2 binary64) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) |
(/.f64 (PI.f64) (*.f64 b b)) |
(PI.f64) |
(*.f64 b b) |
b |
(+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b)) |
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) |
(/.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
a |
(-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) |
(*.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) a) |
(PI.f64) |
b |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) |
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) |
(/.f64 (/.f64 (-.f64 b a) a) b) |
(/.f64 (-.f64 b a) a) |
(-.f64 b a) |
b |
a |
(*.f64 #s(literal 2 binary64) (+.f64 a b)) |
#s(literal 2 binary64) |
(+.f64 a b) |
(/.f64 (PI.f64) (-.f64 b a)) |
(PI.f64) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 b a)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) (+.f64 a b)) |
(*.f64 (+.f64 b a) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(+.f64 a b) |
(+.f64 b a) |
a |
b |
(/.f64 (PI.f64) (-.f64 b a)) |
(PI.f64) |
(-.f64 b a) |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (/.f64 (-.f64 b a) b) a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) b) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (PI.f64) (*.f64 a a)) |
(PI.f64) |
(*.f64 a a) |
a |
b |
#s(literal 1/2 binary64) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) (*.f64 b b))) |
(/.f64 (PI.f64) (*.f64 b b)) |
(PI.f64) |
(*.f64 b b) |
b |
(+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) |
(+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) a) #s(literal -1/2 binary64))) |
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b) |
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) a) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) a) a) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) |
(*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) a) #s(literal -1/2 binary64)) |
(/.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
a |
(-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) |
(*.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) a) |
(PI.f64) |
b |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) |
(*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(/.f64 (/.f64 (-.f64 b a) a) b) |
(/.f64 (/.f64 (-.f64 b a) b) a) |
(/.f64 (-.f64 b a) a) |
(-.f64 b a) |
b |
a |
(*.f64 #s(literal 2 binary64) (+.f64 a b)) |
(*.f64 (+.f64 b a) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(+.f64 a b) |
(+.f64 b a) |
(/.f64 (PI.f64) (-.f64 b a)) |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.15234375 | (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) | |
| accuracy | 0.22265625 | (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) | |
| accuracy | 0.32421875 | (/.f64 (PI.f64) (-.f64 b a)) | |
| accuracy | 6.882721688188281 | (/.f64 (/.f64 (-.f64 b a) a) b) | |
| accuracy | 0.2890625 | (/.f64 (PI.f64) a) | |
| accuracy | 0.29525375976844204 | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) | |
| accuracy | 5.126498562841718 | (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b) | |
| accuracy | 26.090510993662278 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b)) | |
| accuracy | 0.01953125 | (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) | |
| accuracy | 0.44149549575982777 | (/.f64 (PI.f64) (*.f64 b b)) | |
| accuracy | 3.0642692902337747 | (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) | |
| accuracy | 29.547697971452877 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))) | |
| accuracy | 0.0 | (PI.f64) | |
| accuracy | 0.6444966324240127 | (/.f64 (PI.f64) (*.f64 a a)) | |
| accuracy | 6.775918442427235 | (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) | |
| accuracy | 21.220442675231983 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))) | |
| accuracy | 0.01953125 | (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) | |
| accuracy | 0.203125 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) | |
| accuracy | 0.32421875 | (/.f64 (PI.f64) (-.f64 b a)) | |
| accuracy | 6.660058071111058 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 181.0ms | 256× | 0 | valid |
Compiled 332 to 45 computations (86.4% saved)
ival-div: 101.0ms (79.4% of total)ival-mult: 17.0ms (13.4% of total)ival-sub: 4.0ms (3.1% of total)ival-add: 3.0ms (2.4% of total)ival-pi: 1.0ms (0.8% of total)exact: 1.0ms (0.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) |
(*.f64 #s(literal 2 binary64) (+.f64 a b)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (PI.f64) (*.f64 a a)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) |
(/.f64 (PI.f64) (*.f64 b b)) |
(PI.f64) |
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) |
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) |
(/.f64 (/.f64 (-.f64 b a) a) b) |
(/.f64 (-.f64 b a) a) |
(/.f64 (PI.f64) (-.f64 b a)) |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 (PI.f64) a) |
| Outputs |
|---|
(* 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 b) |
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) |
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) |
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) |
(* 1/2 (/ (PI) (pow b 2))) |
(+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2)))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))))))) |
(* 2 b) |
(+ (* 2 a) (* 2 b)) |
(/ (+ (* -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))) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) (pow a 2)) |
(* -1/2 (/ (PI) (pow a 3))) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3)) |
(* -1/2 (/ (* b (PI)) (pow a 3))) |
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) (pow a 3)) |
(* -1/2 (/ (* b (PI)) (pow a 2))) |
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) (pow a 2)) |
(/ 1/2 (* a b)) |
(/ (+ (* -1 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a) |
(/ (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a) |
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a) |
(/ 1 a) |
(/ (+ 1 (* -1 (/ a b))) a) |
(/ b a) |
(/ (+ b (* -1 a)) a) |
(/ (PI) b) |
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2))) |
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b)) |
(+ (* a (- (* a (- (/ (* a (PI)) (pow b 4)) (* -1 (/ (PI) (pow b 3))))) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b)) |
(/ 1/2 a) |
(/ (+ 1/2 (* -1/2 (/ a b))) a) |
(/ (PI) a) |
(/ (+ (* 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 (* -1/2 (/ b a))) a) |
(/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a) |
(/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a) |
(* -1/2 (/ (PI) (pow a 2))) |
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2)) |
(* 2 a) |
(* a (+ 2 (* 2 (/ b a)))) |
(/ (+ (* -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 b 3))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2))))) |
(* 1/2 (/ (PI) (pow a 2))) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) (pow a 2)) |
(* 1/2 (/ (PI) a)) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a) |
(/ -1/2 (* a b)) |
(/ (- (/ 1 a) (* 1/2 (/ 1 b))) a) |
(/ (- (+ (* -1 (/ b (pow a 2))) (/ 1 a)) (* 1/2 (/ 1 b))) a) |
(/ (- (+ (* -1 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (* 1/2 (/ 1 b))) a) |
(/ -1 b) |
(- (/ 1 a) (/ 1 b)) |
-1 |
(- (/ b a) 1) |
(* -1 (/ (PI) a)) |
(/ (+ (* -1 (PI)) (* -1 (/ (* b (PI)) a))) a) |
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 2) (PI)) (pow a 2)))) (/ (* b (PI)) a)) a) |
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (PI)) (pow a 2)))) a) |
(/ -1/2 b) |
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 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 (/ (- (* 1/2 (/ b a)) 1/2) a)) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a))) a)) (* -1/2 (PI))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* 1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a))) a)) (* -1/2 (* (PI) (+ b (* -1 b))))) a)) (* -1/2 (PI))) (pow a 2)) |
(* -1 (* a (- (* -2 (/ b 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 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a)) |
(* -1 (/ (- (* 1/2 (/ 1 b)) (/ 1 a)) a)) |
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (* 1/2 (/ 1 b))) a)) |
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (* 1/2 (/ 1 b))) a)) |
(* -1 (/ (+ (PI) (/ (* b (PI)) a)) a)) |
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a)) |
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* -1 (* (pow b 2) (PI)))) a)) (* b (PI))) 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) |
(/ (+ (* 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 (/ b (pow a 2))) (* 1/2 (/ 1 a))) |
(+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a))) |
(+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a))) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4)))) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))))))) |
(/ (+ (* -1/2 (/ (* 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)) (* 1/2 (/ (* b (PI)) a))) (pow b 3)) |
(/ (PI) (pow b 2)) |
(+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) |
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a))) |
(/ (- (/ b (pow a 2)) (* 1/2 (/ 1 a))) b) |
(/ (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b) |
(/ (- (* b (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b) |
(/ (- (/ b a) 1) b) |
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2)))) |
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2))))) |
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))))) |
(/ (- (* 1/2 (/ b a)) 1/2) b) |
(/ (+ (* 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 (* -1/2 (/ a b))) b) |
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* 1/2 (/ a b))) b) |
(/ (- (+ 1/2 (* -1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) b) |
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2)) |
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 2)) |
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (PI))))) (pow b 2)) |
(* b (+ 2 (* 2 (/ a b)))) |
(/ (+ (* -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) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))) |
(* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (PI) (* a b))))) |
(/ (- (* 1/2 (/ 1 a)) (/ 1 b)) b) |
(/ (- (+ (* 1/2 (/ 1 a)) (/ a (pow b 2))) (/ 1 b)) b) |
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (/ a (pow b 2)))) (/ 1 b)) b) |
(* b (- (/ 1 a) (/ 1 b))) |
(/ (+ (PI) (/ (* a (PI)) b)) b) |
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b) |
(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b) |
(/ (+ (* -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 (/ (- (* 1/2 (/ a b)) 1/2) b)) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2)) |
(* -1 (* b (- (* -2 (/ a 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 (* b (+ (* -1/2 (/ (PI) (* (pow a 2) b))) (* 1/2 (/ (PI) (pow a 3)))))) |
(* -1 (* b (+ (* -1/2 (/ (PI) (* a b))) (* 1/2 (/ (PI) (pow a 2)))))) |
(* -1 (/ (- (/ 1 b) (* 1/2 (/ 1 a))) b)) |
(* -1 (/ (- (* -1 (/ (- (/ a b) 1) b)) (* 1/2 (/ 1 a))) b)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b)) 1) b)) (* 1/2 (/ 1 a))) b)) |
(* -1 (* b (- (/ 1 b) (/ 1 a)))) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | b | @ | inf | ((* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/ 1 (* 2 (+ a b))) (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (* 2 (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b b)) (+ (/ 1/2 a) (/ -1/2 b))) (/ (PI) (* b b)) (PI) (/ (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (/ (PI) (- b a)) (- (/ 1 a) (/ 1 b)) (+ (/ 1/2 a) (/ -1/2 b)) (/ (PI) a)) |
| 18.0ms | a | @ | inf | ((* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/ 1 (* 2 (+ a b))) (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (* 2 (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b b)) (+ (/ 1/2 a) (/ -1/2 b))) (/ (PI) (* b b)) (PI) (/ (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (/ (PI) (- b a)) (- (/ 1 a) (/ 1 b)) (+ (/ 1/2 a) (/ -1/2 b)) (/ (PI) a)) |
| 8.0ms | b | @ | -inf | ((* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/ 1 (* 2 (+ a b))) (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (* 2 (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b b)) (+ (/ 1/2 a) (/ -1/2 b))) (/ (PI) (* b b)) (PI) (/ (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (/ (PI) (- b a)) (- (/ 1 a) (/ 1 b)) (+ (/ 1/2 a) (/ -1/2 b)) (/ (PI) a)) |
| 8.0ms | a | @ | 0 | ((* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/ 1 (* 2 (+ a b))) (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (* 2 (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b b)) (+ (/ 1/2 a) (/ -1/2 b))) (/ (PI) (* b b)) (PI) (/ (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (/ (PI) (- b a)) (- (/ 1 a) (/ 1 b)) (+ (/ 1/2 a) (/ -1/2 b)) (/ (PI) a)) |
| 7.0ms | b | @ | 0 | ((* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/ 1 (* 2 (+ a b))) (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (* 2 (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b b)) (+ (/ 1/2 a) (/ -1/2 b))) (/ (PI) (* b b)) (PI) (/ (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (/ (PI) (- b a)) (- (/ 1 a) (/ 1 b)) (+ (/ 1/2 a) (/ -1/2 b)) (/ (PI) a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 837 | 3820 |
| 1 | 2995 | 3773 |
| 0 | 8453 | 3589 |
| 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 b) |
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) |
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) |
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) |
(* 1/2 (/ (PI) (pow b 2))) |
(+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2)))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))))))) |
(* 2 b) |
(+ (* 2 a) (* 2 b)) |
(/ (+ (* -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))) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) (pow a 2)) |
(* -1/2 (/ (PI) (pow a 3))) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3)) |
(* -1/2 (/ (* b (PI)) (pow a 3))) |
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) (pow a 3)) |
(* -1/2 (/ (* b (PI)) (pow a 2))) |
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) (pow a 2)) |
(/ 1/2 (* a b)) |
(/ (+ (* -1 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a) |
(/ (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a) |
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a) |
(/ 1 a) |
(/ (+ 1 (* -1 (/ a b))) a) |
(/ b a) |
(/ (+ b (* -1 a)) a) |
(/ (PI) b) |
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2))) |
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b)) |
(+ (* a (- (* a (- (/ (* a (PI)) (pow b 4)) (* -1 (/ (PI) (pow b 3))))) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b)) |
(/ 1/2 a) |
(/ (+ 1/2 (* -1/2 (/ a b))) a) |
(/ (PI) a) |
(/ (+ (* 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 (* -1/2 (/ b a))) a) |
(/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a) |
(/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a) |
(* -1/2 (/ (PI) (pow a 2))) |
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2)) |
(* 2 a) |
(* a (+ 2 (* 2 (/ b a)))) |
(/ (+ (* -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 b 3))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2))))) |
(* 1/2 (/ (PI) (pow a 2))) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) (pow a 2)) |
(* 1/2 (/ (PI) a)) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a) |
(/ -1/2 (* a b)) |
(/ (- (/ 1 a) (* 1/2 (/ 1 b))) a) |
(/ (- (+ (* -1 (/ b (pow a 2))) (/ 1 a)) (* 1/2 (/ 1 b))) a) |
(/ (- (+ (* -1 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (* 1/2 (/ 1 b))) a) |
(/ -1 b) |
(- (/ 1 a) (/ 1 b)) |
-1 |
(- (/ b a) 1) |
(* -1 (/ (PI) a)) |
(/ (+ (* -1 (PI)) (* -1 (/ (* b (PI)) a))) a) |
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 2) (PI)) (pow a 2)))) (/ (* b (PI)) a)) a) |
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (PI)) (pow a 2)))) a) |
(/ -1/2 b) |
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 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 (/ (- (* 1/2 (/ b a)) 1/2) a)) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a))) a)) (* -1/2 (PI))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* 1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a))) a)) (* -1/2 (* (PI) (+ b (* -1 b))))) a)) (* -1/2 (PI))) (pow a 2)) |
(* -1 (* a (- (* -2 (/ b 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 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a)) |
(* -1 (/ (- (* 1/2 (/ 1 b)) (/ 1 a)) a)) |
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (* 1/2 (/ 1 b))) a)) |
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (* 1/2 (/ 1 b))) a)) |
(* -1 (/ (+ (PI) (/ (* b (PI)) a)) a)) |
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a)) |
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* -1 (* (pow b 2) (PI)))) a)) (* b (PI))) 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) |
(/ (+ (* 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 (/ b (pow a 2))) (* 1/2 (/ 1 a))) |
(+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a))) |
(+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a))) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4)))) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))))))) |
(/ (+ (* -1/2 (/ (* 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)) (* 1/2 (/ (* b (PI)) a))) (pow b 3)) |
(/ (PI) (pow b 2)) |
(+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) |
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a))) |
(/ (- (/ b (pow a 2)) (* 1/2 (/ 1 a))) b) |
(/ (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b) |
(/ (- (* b (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b) |
(/ (- (/ b a) 1) b) |
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2)))) |
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2))))) |
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))))) |
(/ (- (* 1/2 (/ b a)) 1/2) b) |
(/ (+ (* 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 (* -1/2 (/ a b))) b) |
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* 1/2 (/ a b))) b) |
(/ (- (+ 1/2 (* -1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) b) |
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2)) |
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 2)) |
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (PI))))) (pow b 2)) |
(* b (+ 2 (* 2 (/ a b)))) |
(/ (+ (* -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) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))) |
(* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (PI) (* a b))))) |
(/ (- (* 1/2 (/ 1 a)) (/ 1 b)) b) |
(/ (- (+ (* 1/2 (/ 1 a)) (/ a (pow b 2))) (/ 1 b)) b) |
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (/ a (pow b 2)))) (/ 1 b)) b) |
(* b (- (/ 1 a) (/ 1 b))) |
(/ (+ (PI) (/ (* a (PI)) b)) b) |
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b) |
(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b) |
(/ (+ (* -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 (/ (- (* 1/2 (/ a b)) 1/2) b)) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2)) |
(* -1 (* b (- (* -2 (/ a 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 (* b (+ (* -1/2 (/ (PI) (* (pow a 2) b))) (* 1/2 (/ (PI) (pow a 3)))))) |
(* -1 (* b (+ (* -1/2 (/ (PI) (* a b))) (* 1/2 (/ (PI) (pow a 2)))))) |
(* -1 (/ (- (/ 1 b) (* 1/2 (/ 1 a))) b)) |
(* -1 (/ (- (* -1 (/ (- (/ a b) 1) b)) (* 1/2 (/ 1 a))) b)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b)) 1) b)) (* 1/2 (/ 1 a))) b)) |
(* -1 (* b (- (/ 1 b) (/ 1 a)))) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b)) |
| Outputs |
|---|
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) |
(/ (+ (* 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) (fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) a (/.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 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (fma.f64 (*.f64 #s(literal 0 binary64) b) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 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 (fma.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 0 binary64) b) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b))) a (fma.f64 (*.f64 #s(literal 0 binary64) b) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))))) a (*.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/2 binary64))) a)) a) |
(/ 1/2 b) |
(/.f64 #s(literal 1/2 binary64) b) |
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) |
(fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) b)) |
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) |
(fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a (/.f64 #s(literal 1/2 binary64) b)) |
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64)))) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a (/.f64 #s(literal 1/2 binary64) b)) |
(* 1/2 (/ (PI) (pow b 2))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2)))) |
(fma.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) a)) (pow.f64 b #s(literal 4 binary64)))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) |
(fma.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64))))) a)) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 0 binary64) b) (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 #s(literal 0 binary64) b)) (*.f64 b b))) a (neg.f64 (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))))) a (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64))) (pow.f64 b #s(literal 4 binary64)))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) |
(* 2 b) |
(*.f64 #s(literal 2 binary64) b) |
(+ (* 2 a) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (+.f64 a b)) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
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-1 |
#s(literal -1 binary64) |
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(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (PI.f64) (*.f64 (*.f64 a a) (PI.f64)))) (*.f64 b b)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (PI))))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (PI.f64) (*.f64 (*.f64 a a) (PI.f64)))) (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (PI.f64) (*.f64 (*.f64 a a) (PI.f64))) (*.f64 #s(literal 0 binary64) a) (*.f64 (*.f64 (*.f64 a a) (PI.f64)) (*.f64 #s(literal 0 binary64) a))) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 b b)) |
(* b (+ 2 (* 2 (/ a b)))) |
(*.f64 (fma.f64 (/.f64 a b) #s(literal 2 binary64) #s(literal 2 binary64)) b) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64))) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 (PI.f64) (*.f64 b b)))) (*.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64))) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 (PI.f64) (*.f64 b b))))))) (*.f64 b b)) |
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
(* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))) |
(*.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) b) |
(* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (PI) (* a b))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) b) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal -1/2 binary64))) b) |
(/ (- (* 1/2 (/ 1 a)) (/ 1 b)) b) |
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) b)) b) |
(/ (- (+ (* 1/2 (/ 1 a)) (/ a (pow b 2))) (/ 1 b)) b) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) b) |
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (/ a (pow b 2)))) (/ 1 b)) b) |
(/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) b)) b) |
(* b (- (/ 1 a) (/ 1 b))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) b) |
(/ (+ (PI) (/ (* a (PI)) b)) b) |
(/.f64 (fma.f64 a (/.f64 (PI.f64) b) (PI.f64)) b) |
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b) |
(/.f64 (-.f64 (fma.f64 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b)) (PI.f64)) (/.f64 (*.f64 (neg.f64 (PI.f64)) a) b)) b) |
(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b) |
(/.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (PI.f64)) (neg.f64 (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 (PI.f64) b) (/.f64 (*.f64 (PI.f64) a) b)))) b) |
(/ (+ (* -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)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (/.f64 (fma.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (*.f64 #s(literal 0 binary64) a) (*.f64 (PI.f64) a)) b))) (neg.f64 b))) (*.f64 b b)) |
(/ (+ (* -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)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 a) a) (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (*.f64 (fma.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (*.f64 #s(literal 0 binary64) a) (*.f64 (PI.f64) a)) (*.f64 #s(literal 0 binary64) a))) b) #s(literal -1/2 binary64) (*.f64 (fma.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (*.f64 #s(literal 0 binary64) a) (*.f64 (PI.f64) a)) #s(literal 1/2 binary64))) (neg.f64 b))) (neg.f64 b))) (*.f64 b b)) |
(* -1 (/ (- (* 1/2 (/ a b)) 1/2) b)) |
(/.f64 (-.f64 (*.f64 (/.f64 a b) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 b)) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 a a) b) a)) (neg.f64 b)) #s(literal 1/2 binary64)) (neg.f64 b)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 a a))) b) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) a)) (neg.f64 b)) #s(literal 1/2 binary64)) (neg.f64 b)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (PI.f64) (*.f64 (*.f64 a a) (PI.f64))) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) #s(literal 1/2 binary64))) (neg.f64 b))) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (PI.f64) (*.f64 (*.f64 a a) (PI.f64))) (*.f64 #s(literal 0 binary64) a) (*.f64 (*.f64 (*.f64 a a) (PI.f64)) (*.f64 #s(literal 0 binary64) a))) b) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (PI.f64) (*.f64 (*.f64 a a) (PI.f64))) #s(literal 1/2 binary64))) (neg.f64 b))) (neg.f64 b))) (*.f64 b b)) |
(* -1 (* b (- (* -2 (/ a b)) 2))) |
(*.f64 (neg.f64 b) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) #s(literal 2 binary64))) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) a) b) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 b))) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (PI.f64)) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) a) #s(literal 1/2 binary64))) (neg.f64 b))) (neg.f64 b))) (*.f64 b b)) |
(* -1 (* b (+ (* -1/2 (/ (PI) (* (pow a 2) b))) (* 1/2 (/ (PI) (pow a 3)))))) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal -1/2 binary64)))) |
(* -1 (* b (+ (* -1/2 (/ (PI) (* a b))) (* 1/2 (/ (PI) (pow a 2)))))) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 (PI.f64) a) b) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal 1/2 binary64)))) |
(* -1 (/ (- (/ 1 b) (* 1/2 (/ 1 a))) b)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b)) |
(* -1 (/ (- (* -1 (/ (- (/ a b) 1) b)) (* 1/2 (/ 1 a))) b)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) (neg.f64 b)) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b)) 1) b)) (* 1/2 (/ 1 a))) b)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 (*.f64 a a) b)) (neg.f64 b)) #s(literal 1 binary64)) (neg.f64 b)) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b)) |
(* -1 (* b (- (/ 1 b) (/ 1 a)))) |
(*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b)) |
(/.f64 (neg.f64 (fma.f64 a (/.f64 (PI.f64) b) (PI.f64))) (neg.f64 b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b)) |
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) a (/.f64 (*.f64 (*.f64 a a) (PI.f64)) b)) b) (PI.f64))) (neg.f64 b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b)) |
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) a (/.f64 (neg.f64 (fma.f64 (*.f64 a a) (PI.f64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b))) (neg.f64 b))) b) (PI.f64))) (neg.f64 b)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 294 |
| 0 | 82 | 288 |
| 1 | 300 | 282 |
| 2 | 2717 | 282 |
| 0 | 8635 | 282 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) |
(*.f64 #s(literal 2 binary64) (+.f64 a b)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (PI.f64) (*.f64 a a)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) |
(/.f64 (PI.f64) (*.f64 b b)) |
(PI.f64) |
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) |
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) |
(/.f64 (/.f64 (-.f64 b a) a) b) |
(/.f64 (-.f64 b a) a) |
(/.f64 (PI.f64) (-.f64 b a)) |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 (PI.f64) a) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) b)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (+.f64 b a)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) b)) (*.f64 (-.f64 b a) (+.f64 b a))) (+.f64 b a)) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (/.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (-.f64 b a))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (+.f64 b a)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) (*.f64 b #s(literal 2 binary64))) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) b)) (/.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b))) |
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) |
(*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (/.f64 (/.f64 (-.f64 b a) a) b)) |
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b))) |
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (-.f64 b a)))) |
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (-.f64 b a))) (+.f64 b a)) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (-.f64 b a))) #s(literal 2 binary64)) (+.f64 b a)) |
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) (*.f64 b #s(literal 2 binary64))) (/.f64 (PI.f64) (-.f64 b a))) (+.f64 b a)) |
(/.f64 (*.f64 (/.f64 (neg.f64 (-.f64 b a)) (*.f64 b a)) (/.f64 (PI.f64) (-.f64 b a))) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
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(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
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(+.f64 (cosh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64)))) |
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(-.f64 (/.f64 (pow.f64 a #s(literal -2 binary64)) (/.f64 (+.f64 b a) (*.f64 b a))) (/.f64 (pow.f64 b #s(literal -2 binary64)) (/.f64 (+.f64 b a) (*.f64 b a)))) |
(-.f64 (/.f64 (pow.f64 a #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))) (/.f64 (pow.f64 b #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))))) |
(-.f64 (/.f64 (/.f64 b a) b) (pow.f64 b #s(literal -1 binary64))) |
(-.f64 (/.f64 b (*.f64 b a)) (/.f64 a (*.f64 b a))) |
(-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))) |
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b)) a) b) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b))) (neg.f64 (*.f64 b a))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 a) (*.f64 b #s(literal -1/2 binary64))) (*.f64 b (neg.f64 a))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 a) (*.f64 (neg.f64 b) #s(literal -1/2 binary64))) (*.f64 (neg.f64 b) (neg.f64 a))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) a (*.f64 (neg.f64 b) #s(literal 1/2 binary64))) (*.f64 (neg.f64 b) a)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 (neg.f64 a) #s(literal -1/2 binary64))) (*.f64 (neg.f64 a) b)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 b) (*.f64 (neg.f64 a) #s(literal 1/2 binary64))) (*.f64 (neg.f64 a) (neg.f64 b))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 b) (*.f64 a #s(literal 1/2 binary64))) (*.f64 a (neg.f64 b))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 b a))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b a)) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))) |
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 b a)) (/.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 b a))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) a)) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) a)) |
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (PI.f64)) (neg.f64 a)) |
(/.f64 (PI.f64) a) |
(neg.f64 (/.f64 (neg.f64 (PI.f64)) a)) |
(neg.f64 (/.f64 (PI.f64) (neg.f64 a))) |
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 a a))) |
Compiled 34 556 to 4 124 computations (88.1% saved)
21 alts after pruning (20 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 973 | 19 | 992 |
| Fresh | 9 | 1 | 10 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 986 | 21 | 1 007 |
| Status | Accuracy | Program |
|---|---|---|
| 85.0% | (/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (*.f64 (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) b) (-.f64 b a))) | |
| ▶ | 98.9% | (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) (-.f64 b a))) |
| 86.4% | (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))))) | |
| 88.5% | (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 b a))) | |
| 72.0% | (*.f64 (/.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) | |
| 68.0% | (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a))) | |
| ▶ | 68.7% | (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))) (/.f64 (PI.f64) (-.f64 b a))) |
| ▶ | 52.9% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))) |
| 62.5% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) b) a)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) a) a)) | |
| 61.0% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b)) | |
| 57.5% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b)) (/.f64 (PI.f64) b)) (*.f64 (*.f64 b a) b))) | |
| 51.6% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b)) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 b b)))) | |
| ▶ | 55.0% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) b))) |
| 60.7% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))) | |
| ✓ | 60.5% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))) |
| 66.7% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b a)) #s(literal 1/2 binary64))) | |
| 57.0% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a)))) | |
| 59.1% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) a) b))) | |
| 59.8% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) (*.f64 b a)))) | |
| 49.0% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b b)))) | |
| ▶ | 57.2% | #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
Compiled 1 281 to 878 computations (31.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (PI.f64) a) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a)) | |
| cost-diff | 0 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))) | |
| cost-diff | 1 | (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) b)) | |
| cost-diff | 0 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) b))) | |
| cost-diff | 0 | (*.f64 b a) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) (*.f64 b a)) | |
| cost-diff | 0 | #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))) (/.f64 (PI.f64) (-.f64 b a))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) | |
| cost-diff | 0 | (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) | |
| cost-diff | 0 | (-.f64 b a) | |
| cost-diff | 0 | (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) | |
| cost-diff | 8 | (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) (-.f64 b a))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 352 |
| 0 | 86 | 350 |
| 1 | 197 | 346 |
| 2 | 662 | 335 |
| 3 | 2827 | 311 |
| 4 | 5468 | 311 |
| 0 | 9179 | 311 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) (-.f64 b a))) |
(*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) |
(-.f64 b a) |
b |
a |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (+.f64 b a)) |
#s(literal 1/2 binary64) |
(+.f64 b a) |
(*.f64 (*.f64 b a) (-.f64 b a)) |
(*.f64 b a) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) |
(PI.f64) |
(*.f64 (*.f64 b b) a) |
(*.f64 b b) |
b |
a |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))) (/.f64 (PI.f64) (-.f64 b a))) |
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 b a)) |
#s(literal -1/2 binary64) |
(*.f64 b a) |
b |
a |
(/.f64 (PI.f64) (-.f64 b a)) |
(PI.f64) |
(-.f64 b a) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) b))) |
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) |
(-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) |
(*.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) a) |
(PI.f64) |
a |
b |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 a a) b) |
(*.f64 a a) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a)) |
(fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) |
(/.f64 (PI.f64) a) |
(PI.f64) |
a |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) b) |
b |
#s(literal 1/2 binary64) |
(*.f64 a a) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) (-.f64 b a))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) a) (/.f64 (PI.f64) b)) |
(*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) |
(*.f64 (*.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) |
(-.f64 b a) |
b |
a |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64)) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (+.f64 b a)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 a b)) |
#s(literal 1/2 binary64) |
(+.f64 b a) |
(+.f64 a b) |
(*.f64 (*.f64 b a) (-.f64 b a)) |
(*.f64 (*.f64 (-.f64 b a) b) a) |
(*.f64 b a) |
(*.f64 a b) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) |
(PI.f64) |
(*.f64 (*.f64 b b) a) |
(*.f64 b b) |
b |
a |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))) (/.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b))) |
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))) |
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 b a)) |
(/.f64 (/.f64 #s(literal -1/2 binary64) a) b) |
#s(literal -1/2 binary64) |
(*.f64 b a) |
(*.f64 a b) |
b |
a |
(/.f64 (PI.f64) (-.f64 b a)) |
(PI.f64) |
(-.f64 b a) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) b))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (fma.f64 (/.f64 (neg.f64 b) a) (PI.f64) (PI.f64)) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) b))) |
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (fma.f64 (/.f64 (neg.f64 b) a) (PI.f64) (PI.f64)) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) b)) |
(*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal -1/2 binary64)) |
(-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) |
(*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) |
(*.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) a) |
(PI.f64) |
a |
b |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 a a) b) |
(*.f64 a a) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a)) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal -1/2 binary64)) |
(/.f64 (PI.f64) a) |
(PI.f64) |
a |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) b) |
b |
#s(literal 1/2 binary64) |
(*.f64 a a) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2890625 | (/.f64 (PI.f64) a) | |
| accuracy | 0.30078125 | (/.f64 (PI.f64) b) | |
| accuracy | 4.0482187249428785 | (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a)) | |
| accuracy | 26.090510993662278 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))) | |
| accuracy | 0.2890625 | (/.f64 (PI.f64) a) | |
| accuracy | 2.1945763346293936 | (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) b)) | |
| accuracy | 6.641599283625313 | (*.f64 (*.f64 a a) b) | |
| accuracy | 26.090510993662278 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) b))) | |
| accuracy | 0.15234375 | (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))) (/.f64 (PI.f64) (-.f64 b a))) | |
| accuracy | 0.32421875 | (/.f64 (PI.f64) (-.f64 b a)) | |
| accuracy | 0.3580738921367407 | (/.f64 #s(literal -1/2 binary64) (*.f64 b a)) | |
| accuracy | 26.392421717417292 | #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))) | |
| accuracy | 0.00390625 | (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) | |
| accuracy | 0.5385365475776801 | (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) | |
| accuracy | 7.017765990324763 | (*.f64 (*.f64 b b) a) | |
| accuracy | 24.42547205809341 | #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) | |
| accuracy | 0.15234375 | (*.f64 (*.f64 b a) (-.f64 b a)) | |
| accuracy | 0.3671875 | (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) | |
| accuracy | 0.41015625 | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) | |
| accuracy | 0.5809094939304307 | (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) (-.f64 b a))) |
| 168.0ms | 256× | 0 | valid |
Compiled 303 to 52 computations (82.8% saved)
ival-div: 111.0ms (75% of total)ival-mult: 27.0ms (18.3% of total)ival-sub: 5.0ms (3.4% of total)ival-add: 4.0ms (2.7% of total)ival-pi: 1.0ms (0.7% of total)exact: 1.0ms (0.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) (-.f64 b a))) |
(*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) |
(-.f64 b a) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) |
(PI.f64) |
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))) (/.f64 (PI.f64) (-.f64 b a))) |
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 b a)) |
(*.f64 b a) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) b))) |
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) |
(-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) |
(fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a)) |
(/.f64 (PI.f64) a) |
(*.f64 (*.f64 b a) (-.f64 b a)) |
(*.f64 (*.f64 b b) a) |
(/.f64 (PI.f64) (-.f64 b a)) |
(*.f64 (*.f64 a a) b) |
(/.f64 (PI.f64) b) |
| Outputs |
|---|
(* 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)) |
(+ (* 1/2 (PI)) (* 1/2 (* a (- (* -1 (/ (PI) b)) (/ (PI) b))))) |
(+ (* 1/2 (PI)) (* a (+ (* 1/2 (* a (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))) (* 1/2 (- (* -1 (/ (PI) b)) (/ (PI) b)))))) |
(+ (* 1/2 (PI)) (* a (+ (* 1/2 (- (* -1 (/ (PI) b)) (/ (PI) b))) (* a (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (PI) (pow b 3))))) (* 1/2 (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))))))) |
b |
(+ b (* -1 a)) |
(* 1/2 (/ (PI) b)) |
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3)))))))) |
(/ (+ (* 1/2 (* 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) |
(/ (PI) (* a (pow b 2))) |
(/ 1/2 (* a b)) |
(/ (+ (* -1 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a) |
(/ (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a) |
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a) |
(/ -1/2 (* a b)) |
(* a b) |
(* -1/2 (/ (PI) (pow a 3))) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3)) |
(* -1/2 (/ (* b (PI)) a)) |
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) a) |
(/ (* b (PI)) a) |
(/ (+ (* -1 (* a (PI))) (* b (PI))) a) |
(* -1/2 (/ (PI) a)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a) |
(/ (PI) a) |
(* a (pow b 2)) |
(* a (+ (* -1 (* a b)) (pow b 2))) |
(/ (PI) b) |
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2))) |
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b)) |
(+ (* a (- (* a (- (/ (* a (PI)) (pow b 4)) (* -1 (/ (PI) (pow b 3))))) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b)) |
(* (pow a 2) b) |
(* 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)) |
(+ (* -1/2 (PI)) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (PI)))) a))) |
(+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (PI)))) a)))) |
(+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (+ (* 1/2 (/ (* (pow b 2) (- (* b (PI)) (* -1 (* b (PI))))) (pow a 3))) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (PI)))) a))))) |
(* -1 a) |
(* a (- (/ b a) 1)) |
(* 1/2 (/ (PI) a)) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a) |
(/ (+ (* 1/2 (/ (PI) 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 a) (* 1/2 (/ 1 b))) a) |
(/ (- (+ (* -1 (/ b (pow a 2))) (/ 1 a)) (* 1/2 (/ 1 b))) a) |
(/ (- (+ (* -1 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (* 1/2 (/ 1 b))) a) |
(+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) |
(* -1 (PI)) |
(- (/ (* b (PI)) a) (PI)) |
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) |
(* -1 (* (pow a 2) b)) |
(* (pow a 2) (+ (* -1 b) (/ (pow b 2) a))) |
(* -1 (/ (PI) a)) |
(/ (+ (* -1 (PI)) (* -1 (/ (* b (PI)) a))) a) |
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 2) (PI)) (pow a 2)))) (/ (* b (PI)) a)) a) |
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (PI)) (pow a 2)))) a) |
(/ (+ (* -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)) (* -1/2 (/ (- (* -1 (* b (PI))) (* b (PI))) a))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* b (- (* -1 (* b (PI))) (* b (PI)))) a)) (* 1/2 (- (* -1 (* b (PI))) (* b (PI))))) a)) (* -1/2 (PI))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (- (* -1 (* b (PI))) (* b (PI)))) a)) (* 1/2 (* b (- (* -1 (* b (PI))) (* b (PI)))))) a)) (* 1/2 (- (* -1 (* b (PI))) (* b (PI))))) a)) (* -1/2 (PI))) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a)) |
(/ (+ (* -1/2 (/ (- (PI) (* -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 (/ (- (* 1/2 (/ 1 b)) (/ 1 a)) a)) |
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (* 1/2 (/ 1 b))) a)) |
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (* 1/2 (/ 1 b))) a)) |
(* -1 (/ (+ (PI) (/ (* b (PI)) a)) a)) |
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a)) |
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* -1 (* (pow b 2) (PI)))) a)) (* b (PI))) a))) a)) |
(/ (+ (* -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)) (* 1/2 (* b (- (/ (PI) a) (* -1 (/ (PI) a)))))) |
(+ (* -1/2 (PI)) (* b (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2))))) (* 1/2 (- (/ (PI) a) (* -1 (/ (PI) a))))))) |
(+ (* -1/2 (PI)) (* b (+ (* 1/2 (- (/ (PI) a) (* -1 (/ (PI) a)))) (* b (+ (* 1/2 (* b (- (/ (PI) (pow a 3)) (* -1 (/ (PI) (pow a 3)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2))))))))) |
(- b a) |
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a))) |
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3)))))) |
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3)))))))) |
(/ (+ (* 1/2 (* 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) |
(/ (- (/ b (pow a 2)) (* 1/2 (/ 1 a))) b) |
(/ (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b) |
(/ (- (* b (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b) |
(* b (+ (* -1 (pow a 2)) (* a b))) |
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2)))) |
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2))))) |
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 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)) (* 1/2 (/ (- (* -1 (* a (PI))) (* a (PI))) b))) |
(+ (* -1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))) (+ (* 1/2 (PI)) (* 1/2 (/ (- (* -1 (* a (PI))) (* a (PI))) b)))) |
(+ (* -1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))) (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) (pow b 3))) (* 1/2 (/ (- (* -1 (* a (PI))) (* a (PI))) b))))) |
(* b (+ 1 (* -1 (/ a b)))) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b) |
(/ (+ (* 1/2 (/ (PI) 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 (/ 1 a)) (/ 1 b)) b) |
(/ (- (+ (* 1/2 (/ 1 a)) (/ a (pow b 2))) (/ 1 b)) b) |
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (/ a (pow b 2)))) (/ 1 b)) b) |
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(* b (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))) |
(* b (+ (* -1 (/ (PI) b)) (/ (PI) a))) |
(* (pow b 2) (+ a (* -1 (/ (pow a 2) b)))) |
(/ (+ (PI) (/ (* a (PI)) b)) b) |
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b) |
(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b) |
(/ (+ (* -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 (/ (+ (* -1/2 (- (* -1 (* a (PI))) (* a (PI)))) (* 1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) b))) b)) (* 1/2 (PI))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (- (* -1 (* a (PI))) (* a (PI))))) (* 1/2 (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) b))) b)) (* -1/2 (- (* -1 (* a (PI))) (* a (PI))))) b)) (* 1/2 (PI))) |
(* -1 (* b (- (/ a b) 1))) |
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b)) |
(/ (+ (* -1 (/ (+ (* -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 (/ (- (/ 1 b) (* 1/2 (/ 1 a))) b)) |
(* -1 (/ (- (* -1 (/ (- (/ a b) 1) b)) (* 1/2 (/ 1 a))) b)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b)) 1) b)) (* 1/2 (/ 1 a))) b)) |
(* -1 (* b (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))))) |
(* -1 (* b (+ (* -1 (/ (PI) a)) (/ (PI) b)))) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | b | @ | inf | ((/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (- b a) (* (PI) (/ 1/2 (+ b a))) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (PI) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ -1/2 (* b a)) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (- (* (/ (PI) a) b) (PI)) -1/2) (* (* a a) b)) (* (- (* (/ (PI) a) b) (PI)) -1/2) (- (* (/ (PI) a) b) (PI)) (+ (* (/ (PI) a) -1/2) (* (/ (PI) b) 1/2)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (+ (* (/ (PI) a) -1/2) (* (/ (PI) b) 1/2)) (* a a)) (/ (PI) a) (* (* b a) (- b a)) (* (* b b) a) (/ (PI) (- b a)) (* (* a a) b) (/ (PI) b)) |
| 5.0ms | a | @ | -inf | ((/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (- b a) (* (PI) (/ 1/2 (+ b a))) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (PI) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ -1/2 (* b a)) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (- (* (/ (PI) a) b) (PI)) -1/2) (* (* a a) b)) (* (- (* (/ (PI) a) b) (PI)) -1/2) (- (* (/ (PI) a) b) (PI)) (+ (* (/ (PI) a) -1/2) (* (/ (PI) b) 1/2)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (+ (* (/ (PI) a) -1/2) (* (/ (PI) b) 1/2)) (* a a)) (/ (PI) a) (* (* b a) (- b a)) (* (* b b) a) (/ (PI) (- b a)) (* (* a a) b) (/ (PI) b)) |
| 5.0ms | b | @ | -inf | ((/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (- b a) (* (PI) (/ 1/2 (+ b a))) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (PI) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ -1/2 (* b a)) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (- (* (/ (PI) a) b) (PI)) -1/2) (* (* a a) b)) (* (- (* (/ (PI) a) b) (PI)) -1/2) (- (* (/ (PI) a) b) (PI)) (+ (* (/ (PI) a) -1/2) (* (/ (PI) b) 1/2)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (+ (* (/ (PI) a) -1/2) (* (/ (PI) b) 1/2)) (* a a)) (/ (PI) a) (* (* b a) (- b a)) (* (* b b) a) (/ (PI) (- b a)) (* (* a a) b) (/ (PI) b)) |
| 5.0ms | a | @ | 0 | ((/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (- b a) (* (PI) (/ 1/2 (+ b a))) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (PI) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ -1/2 (* b a)) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (- (* (/ (PI) a) b) (PI)) -1/2) (* (* a a) b)) (* (- (* (/ (PI) a) b) (PI)) -1/2) (- (* (/ (PI) a) b) (PI)) (+ (* (/ (PI) a) -1/2) (* (/ (PI) b) 1/2)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (+ (* (/ (PI) a) -1/2) (* (/ (PI) b) 1/2)) (* a a)) (/ (PI) a) (* (* b a) (- b a)) (* (* b b) a) (/ (PI) (- b a)) (* (* a a) b) (/ (PI) b)) |
| 5.0ms | a | @ | inf | ((/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (- b a) (* (PI) (/ 1/2 (+ b a))) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (PI) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ -1/2 (* b a)) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (- (* (/ (PI) a) b) (PI)) -1/2) (* (* a a) b)) (* (- (* (/ (PI) a) b) (PI)) -1/2) (- (* (/ (PI) a) b) (PI)) (+ (* (/ (PI) a) -1/2) (* (/ (PI) b) 1/2)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (+ (* (/ (PI) a) -1/2) (* (/ (PI) b) 1/2)) (* a a)) (/ (PI) a) (* (* b a) (- b a)) (* (* b b) a) (/ (PI) (- b a)) (* (* a a) b) (/ (PI) b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 762 | 3574 |
| 1 | 2744 | 3139 |
| 0 | 8334 | 3015 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)) |
(+ (* 1/2 (PI)) (* 1/2 (* a (- (* -1 (/ (PI) b)) (/ (PI) b))))) |
(+ (* 1/2 (PI)) (* a (+ (* 1/2 (* a (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))) (* 1/2 (- (* -1 (/ (PI) b)) (/ (PI) b)))))) |
(+ (* 1/2 (PI)) (* a (+ (* 1/2 (- (* -1 (/ (PI) b)) (/ (PI) b))) (* a (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (PI) (pow b 3))))) (* 1/2 (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))))))) |
b |
(+ b (* -1 a)) |
(* 1/2 (/ (PI) b)) |
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3)))))))) |
(/ (+ (* 1/2 (* 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) |
(/ (PI) (* a (pow b 2))) |
(/ 1/2 (* a b)) |
(/ (+ (* -1 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a) |
(/ (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a) |
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a) |
(/ -1/2 (* a b)) |
(* a b) |
(* -1/2 (/ (PI) (pow a 3))) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3)) |
(* -1/2 (/ (* b (PI)) a)) |
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) a) |
(/ (* b (PI)) a) |
(/ (+ (* -1 (* a (PI))) (* b (PI))) a) |
(* -1/2 (/ (PI) a)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a) |
(/ (PI) a) |
(* a (pow b 2)) |
(* a (+ (* -1 (* a b)) (pow b 2))) |
(/ (PI) b) |
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2))) |
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b)) |
(+ (* a (- (* a (- (/ (* a (PI)) (pow b 4)) (* -1 (/ (PI) (pow b 3))))) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b)) |
(* (pow a 2) b) |
(* 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)) |
(+ (* -1/2 (PI)) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (PI)))) a))) |
(+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (PI)))) a)))) |
(+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (+ (* 1/2 (/ (* (pow b 2) (- (* b (PI)) (* -1 (* b (PI))))) (pow a 3))) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (PI)))) a))))) |
(* -1 a) |
(* a (- (/ b a) 1)) |
(* 1/2 (/ (PI) a)) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a) |
(/ (+ (* 1/2 (/ (PI) 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 a) (* 1/2 (/ 1 b))) a) |
(/ (- (+ (* -1 (/ b (pow a 2))) (/ 1 a)) (* 1/2 (/ 1 b))) a) |
(/ (- (+ (* -1 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (* 1/2 (/ 1 b))) a) |
(+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) |
(* -1 (PI)) |
(- (/ (* b (PI)) a) (PI)) |
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) |
(* -1 (* (pow a 2) b)) |
(* (pow a 2) (+ (* -1 b) (/ (pow b 2) a))) |
(* -1 (/ (PI) a)) |
(/ (+ (* -1 (PI)) (* -1 (/ (* b (PI)) a))) a) |
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 2) (PI)) (pow a 2)))) (/ (* b (PI)) a)) a) |
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (PI)) (pow a 2)))) a) |
(/ (+ (* -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)) (* -1/2 (/ (- (* -1 (* b (PI))) (* b (PI))) a))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* b (- (* -1 (* b (PI))) (* b (PI)))) a)) (* 1/2 (- (* -1 (* b (PI))) (* b (PI))))) a)) (* -1/2 (PI))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (- (* -1 (* b (PI))) (* b (PI)))) a)) (* 1/2 (* b (- (* -1 (* b (PI))) (* b (PI)))))) a)) (* 1/2 (- (* -1 (* b (PI))) (* b (PI))))) a)) (* -1/2 (PI))) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a)) |
(/ (+ (* -1/2 (/ (- (PI) (* -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 (/ (- (* 1/2 (/ 1 b)) (/ 1 a)) a)) |
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (* 1/2 (/ 1 b))) a)) |
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (* 1/2 (/ 1 b))) a)) |
(* -1 (/ (+ (PI) (/ (* b (PI)) a)) a)) |
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a)) |
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* -1 (* (pow b 2) (PI)))) a)) (* b (PI))) a))) a)) |
(/ (+ (* -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)) (* 1/2 (* b (- (/ (PI) a) (* -1 (/ (PI) a)))))) |
(+ (* -1/2 (PI)) (* b (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2))))) (* 1/2 (- (/ (PI) a) (* -1 (/ (PI) a))))))) |
(+ (* -1/2 (PI)) (* b (+ (* 1/2 (- (/ (PI) a) (* -1 (/ (PI) a)))) (* b (+ (* 1/2 (* b (- (/ (PI) (pow a 3)) (* -1 (/ (PI) (pow a 3)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2))))))))) |
(- b a) |
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a))) |
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3)))))) |
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3)))))))) |
(/ (+ (* 1/2 (* 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) |
(/ (- (/ b (pow a 2)) (* 1/2 (/ 1 a))) b) |
(/ (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b) |
(/ (- (* b (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b) |
(* b (+ (* -1 (pow a 2)) (* a b))) |
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2)))) |
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2))))) |
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 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)) (* 1/2 (/ (- (* -1 (* a (PI))) (* a (PI))) b))) |
(+ (* -1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))) (+ (* 1/2 (PI)) (* 1/2 (/ (- (* -1 (* a (PI))) (* a (PI))) b)))) |
(+ (* -1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))) (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) (pow b 3))) (* 1/2 (/ (- (* -1 (* a (PI))) (* a (PI))) b))))) |
(* b (+ 1 (* -1 (/ a b)))) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b) |
(/ (+ (* 1/2 (/ (PI) 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 (/ 1 a)) (/ 1 b)) b) |
(/ (- (+ (* 1/2 (/ 1 a)) (/ a (pow b 2))) (/ 1 b)) b) |
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (/ a (pow b 2)))) (/ 1 b)) b) |
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(* b (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))) |
(* b (+ (* -1 (/ (PI) b)) (/ (PI) a))) |
(* (pow b 2) (+ a (* -1 (/ (pow a 2) b)))) |
(/ (+ (PI) (/ (* a (PI)) b)) b) |
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b) |
(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b) |
(/ (+ (* -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 (/ (+ (* -1/2 (- (* -1 (* a (PI))) (* a (PI)))) (* 1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) b))) b)) (* 1/2 (PI))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (- (* -1 (* a (PI))) (* a (PI))))) (* 1/2 (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) b))) b)) (* -1/2 (- (* -1 (* a (PI))) (* a (PI))))) b)) (* 1/2 (PI))) |
(* -1 (* b (- (/ a b) 1))) |
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b)) |
(/ (+ (* -1 (/ (+ (* -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 (/ (- (/ 1 b) (* 1/2 (/ 1 a))) b)) |
(* -1 (/ (- (* -1 (/ (- (/ a b) 1) b)) (* 1/2 (/ 1 a))) b)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b)) 1) b)) (* 1/2 (/ 1 a))) b)) |
(* -1 (* b (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))))) |
(* -1 (* b (+ (* -1 (/ (PI) a)) (/ (PI) b)))) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b)) |
| Outputs |
|---|
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 (PI.f64) (*.f64 b b)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))))) a)) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a)) a) |
(* 1/2 (PI)) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(+ (* 1/2 (PI)) (* 1/2 (* a (- (* -1 (/ (PI) b)) (/ (PI) b))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) b) (/.f64 (PI.f64) b)) a (PI.f64))) |
(+ (* 1/2 (PI)) (* a (+ (* 1/2 (* a (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))) (* 1/2 (- (* -1 (/ (PI) b)) (/ (PI) b)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a (-.f64 (/.f64 (neg.f64 (PI.f64)) b) (/.f64 (PI.f64) b)))) a (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(+ (* 1/2 (PI)) (* a (+ (* 1/2 (- (* -1 (/ (PI) b)) (/ (PI) b))) (* a (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (PI) (pow b 3))))) (* 1/2 (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 b b))))) a (*.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) b) (/.f64 (PI.f64) b)) #s(literal 1/2 binary64))) a (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
b |
(+ b (* -1 a)) |
(-.f64 b a) |
(* 1/2 (/ (PI) b)) |
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 a (/.f64 (PI.f64) (*.f64 b b))) (/.f64 (PI.f64) b))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (*.f64 b b)) (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))))) a (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3)))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (PI.f64) b) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))))) a)) a (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) |
(/ (+ (* 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) (fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) a (/.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 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) a) (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))))) a)) 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 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 0 binary64) (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64)))))) (*.f64 b b))) a (fma.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))))) a (*.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) #s(literal 1/2 binary64))) a)) a) |
(/ (PI) (* a (pow b 2))) |
(/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) |
(/ 1/2 (* a b)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b) |
(/ (+ (* -1 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a) |
(/.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) b)) a) |
(/ (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a) |
(/.f64 (fma.f64 (-.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) a (/.f64 #s(literal 1/2 binary64) b)) a) |
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a) |
(/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) a) (/.f64 #s(literal 1 binary64) (*.f64 b b))) a (/.f64 #s(literal 1/2 binary64) b)) a) |
(/ -1/2 (* a b)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 a b)) |
(* a b) |
(*.f64 a b) |
(* -1/2 (/ (PI) (pow a 3))) |
(*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (*.f64 a (/.f64 (PI.f64) b)))) (pow.f64 a #s(literal 3 binary64))) |
(* -1/2 (/ (* b (PI)) a)) |
(*.f64 (/.f64 (*.f64 (PI.f64) b) a) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) a) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) a) |
(/ (* b (PI)) a) |
(/.f64 (*.f64 (PI.f64) b) a) |
(/ (+ (* -1 (* a (PI))) (* b (PI))) a) |
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) a) |
(* -1/2 (/ (PI) a)) |
(*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (*.f64 a (/.f64 (PI.f64) b)))) a) |
(/ (PI) a) |
(/.f64 (PI.f64) a) |
(* a (pow b 2)) |
(*.f64 (*.f64 b b) a) |
(* a (+ (* -1 (* a b)) (pow b 2))) |
(*.f64 (*.f64 b (-.f64 b a)) a) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2))) |
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(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b)) |
(* -1 (/ (- (* -1 (/ (- (/ a b) 1) b)) (* 1/2 (/ 1 a))) b)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) (neg.f64 b)) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b)) 1) b)) (* 1/2 (/ 1 a))) b)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 a a) b) a) (neg.f64 b)) #s(literal 1 binary64)) (neg.f64 b)) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b)) |
(* -1 (* b (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))))) |
(*.f64 (neg.f64 b) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)))) |
(* -1 (* b (+ (* -1 (/ (PI) a)) (/ (PI) b)))) |
(*.f64 (neg.f64 b) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b)) |
(/.f64 (neg.f64 (fma.f64 a (/.f64 (PI.f64) b) (PI.f64))) (neg.f64 b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b)) |
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) a (/.f64 (*.f64 (*.f64 a a) (PI.f64)) b)) b) (PI.f64))) (neg.f64 b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b)) |
(/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (fma.f64 (PI.f64) a (/.f64 (neg.f64 (fma.f64 (*.f64 a a) (PI.f64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b))) (neg.f64 b))) b)) (neg.f64 b)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 296 |
| 0 | 86 | 294 |
| 1 | 334 | 258 |
| 2 | 2927 | 258 |
| 0 | 8878 | 258 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) (-.f64 b a))) |
(*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) |
(-.f64 b a) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) |
(PI.f64) |
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))) (/.f64 (PI.f64) (-.f64 b a))) |
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 b a)) |
(*.f64 b a) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) b))) |
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) |
(-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) |
(fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a)) |
(/.f64 (PI.f64) a) |
(*.f64 (*.f64 b a) (-.f64 b a)) |
(*.f64 (*.f64 b b) a) |
(/.f64 (PI.f64) (-.f64 b a)) |
(*.f64 (*.f64 a a) b) |
(/.f64 (PI.f64) b) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) a) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a (+.f64 a b) (*.f64 b b))) |
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) a) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b)) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b)) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) b) a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (-.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 a b))) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b)) (/.f64 (-.f64 b a) (-.f64 b a))) |
(*.f64 (/.f64 (-.f64 b a) (-.f64 b a)) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b))) |
(*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) b) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 (-.f64 b a) a))) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) b) (/.f64 (-.f64 b a) (*.f64 (-.f64 b a) a))) |
(*.f64 (/.f64 (-.f64 b a) b) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 (-.f64 b a) a))) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b) (/.f64 (PI.f64) (*.f64 (-.f64 b a) a))) (-.f64 b a)) |
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (/.f64 (-.f64 b a) b) a))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) b) a))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) b) a)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 (*.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 (*.f64 (-.f64 b a) b) a))) |
(*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 b a) b) a))) |
(*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))) |
(*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 (/.f64 (-.f64 b a) b) a)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) b) a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) b) a))) |
(*.f64 (-.f64 b a) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b) (/.f64 (PI.f64) (*.f64 (-.f64 b a) a)))) |
(/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (-.f64 b a)) (*.f64 a b)) |
(/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) b) (*.f64 (-.f64 b a) a)) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (/.f64 (+.f64 a b) (*.f64 a b))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (*.f64 a b)) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) b) a))) (*.f64 #s(literal -2 binary64) (+.f64 a b))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) b) a))) (neg.f64 (+.f64 a b))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) b) a))) (*.f64 #s(literal 2 binary64) (+.f64 a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) b) a))) (+.f64 a b)) |
(/.f64 (*.f64 (/.f64 (-.f64 b a) (neg.f64 a)) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (neg.f64 b)) |
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))) b) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b) (/.f64 (PI.f64) (*.f64 (-.f64 b a) a)))) (fma.f64 a (+.f64 a b) (*.f64 b b))) |
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b) (/.f64 (PI.f64) (*.f64 (-.f64 b a) a)))) (+.f64 a b)) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (/.f64 (-.f64 b a) b) a)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) b) a))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) b) a))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 (-.f64 b a) b) a)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))) |
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64))) (-.f64 b a)) |
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (/.f64 (+.f64 a b) (*.f64 a b))) |
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))) |
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 b a) b) a)) (*.f64 (+.f64 a b) (-.f64 b a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) b) a)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) |
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (+.f64 a b) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) a) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b))) (neg.f64 (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (-.f64 b a))) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (neg.f64 (*.f64 (*.f64 (neg.f64 b) a) (-.f64 b a)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (PI.f64) (-.f64 b a))) (*.f64 (/.f64 (+.f64 a b) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64))) (*.f64 (/.f64 (+.f64 a b) (*.f64 a b)) (-.f64 b a))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (PI.f64) (-.f64 b a))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 a b)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) (-.f64 b a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (/.f64 (+.f64 a b) (*.f64 a b)))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 b a)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (*.f64 a b))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (*.f64 (-.f64 b a) (/.f64 (+.f64 a b) (*.f64 a b)))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (*.f64 (-.f64 b a) (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))))) |
(/.f64 (*.f64 (/.f64 (-.f64 b a) (neg.f64 a)) (/.f64 (PI.f64) (-.f64 b a))) (*.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) (+.f64 a b)))) |
(/.f64 (*.f64 (/.f64 (-.f64 b a) (neg.f64 a)) (PI.f64)) (*.f64 (neg.f64 b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))) |
(/.f64 (*.f64 (/.f64 (-.f64 b a) (neg.f64 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64))) (*.f64 (neg.f64 b) (-.f64 b a))) |
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (/.f64 (PI.f64) (-.f64 b a))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) b)) |
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (*.f64 b (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))) |
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64))) (*.f64 b (-.f64 b a))) |
(/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (-.f64 b a))) (*.f64 (*.f64 a b) (*.f64 #s(literal 2 binary64) (+.f64 a b)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64))) (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (*.f64 (*.f64 (-.f64 b a) b) a))) |
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64))) (*.f64 (+.f64 a b) (*.f64 (*.f64 (-.f64 b a) b) a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 a b) (*.f64 a b)))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) |
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (/.f64 (+.f64 a b) (*.f64 a b)))) |
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))))) |
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(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64)))) |
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))) |
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (PI.f64)) |
(*.f64 (PI.f64) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (PI.f64))) |
(pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) |
(pow.f64 (PI.f64) #s(literal 1 binary64)) |
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) |
(sqrt.f64 (*.f64 (PI.f64) (PI.f64))) |
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(exp.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 3 binary64))) |
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(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))) |
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(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(exp.f64 (log.f64 (PI.f64))) |
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(*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 a b)))) |
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(/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 a b))) (PI.f64)) (-.f64 b a)) |
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(fma.f64 (/.f64 (PI.f64) a) b (neg.f64 (PI.f64))) |
(fma.f64 (PI.f64) (/.f64 b a) (neg.f64 (PI.f64))) |
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(-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) |
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(/.f64 (fma.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64))) a (*.f64 (*.f64 (neg.f64 a) a) (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) a))) (*.f64 (*.f64 (neg.f64 a) a) a)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64))) (*.f64 (*.f64 a a) b) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 (*.f64 a a) b))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64))) (*.f64 (neg.f64 a) a) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 (/.f64 (neg.f64 (PI.f64)) b) #s(literal 1/2 binary64)))) (pow.f64 a #s(literal 4 binary64))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64))) (*.f64 a a) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 a a))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (neg.f64 a) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (neg.f64 a)))) (pow.f64 a #s(literal 4 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) a (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) a))) (pow.f64 a #s(literal 4 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b) (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 a a) b))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (neg.f64 a) a) (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (/.f64 (neg.f64 (PI.f64)) b) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (neg.f64 a) a))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 a a) (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 a a))) |
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64)) (neg.f64 a) (*.f64 (*.f64 a a) (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (neg.f64 a)))) (pow.f64 a #s(literal 3 binary64))) |
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64)) a (*.f64 (*.f64 a a) (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) a))) (pow.f64 a #s(literal 3 binary64))) |
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) b) (*.f64 (*.f64 a a) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) b))) |
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64)) (*.f64 (neg.f64 a) a) (*.f64 (*.f64 a a) (*.f64 (/.f64 (neg.f64 (PI.f64)) b) #s(literal 1/2 binary64)))) (*.f64 (*.f64 a a) (*.f64 (neg.f64 a) a))) |
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (neg.f64 a)) (neg.f64 a)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) b))) (*.f64 a a))) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 a #s(literal 9 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) a)))))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) a)) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))))) (*.f64 a a)) |
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64)) (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))) (pow.f64 a #s(literal 4 binary64))) |
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) a) a) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) b))) (*.f64 a a))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) a) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (-.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64))))) (*.f64 a a))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 a) a)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a)) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))) (*.f64 a a))) |
(fma.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) b) a) (/.f64 #s(literal 1/2 binary64) (neg.f64 a)) (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (pow.f64 a #s(literal 3 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 a)) (/.f64 (/.f64 (neg.f64 (PI.f64)) b) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (pow.f64 a #s(literal 3 binary64)))) |
(fma.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (pow.f64 a #s(literal 3 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) b) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (pow.f64 a #s(literal 3 binary64)))) |
(fma.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) a) a) (/.f64 #s(literal -1/2 binary64) (neg.f64 a)) (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 a)) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) a) (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (/.f64 (/.f64 (PI.f64) a) a) (/.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (/.f64 (PI.f64) a) a) (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (pow.f64 a #s(literal 3 binary64)))) |
(fma.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a a)) (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)) (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (pow.f64 a #s(literal 3 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (/.f64 (neg.f64 (PI.f64)) b) #s(literal 1/2 binary64)) (*.f64 a a))) |
(+.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (pow.f64 a #s(literal 3 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) a))) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) a)) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) a)) |
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (PI.f64)) (neg.f64 a)) |
(/.f64 (PI.f64) a) |
(neg.f64 (/.f64 (neg.f64 (PI.f64)) a)) |
(neg.f64 (/.f64 (PI.f64) (neg.f64 a))) |
(*.f64 (*.f64 (-.f64 b a) b) a) |
(*.f64 (*.f64 (-.f64 b a) a) b) |
(*.f64 (*.f64 a b) (-.f64 b a)) |
(*.f64 (-.f64 b a) (*.f64 a b)) |
(*.f64 a (*.f64 b (-.f64 b a))) |
(*.f64 b (*.f64 (-.f64 b a) a)) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 a b)) (fma.f64 a (+.f64 a b) (*.f64 b b))) |
(/.f64 (*.f64 (*.f64 a b) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a (+.f64 a b) (*.f64 b b))) |
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (+.f64 a b)) |
(/.f64 (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b)) |
(*.f64 (*.f64 (neg.f64 b) a) (neg.f64 b)) |
(*.f64 (neg.f64 b) (*.f64 (neg.f64 b) a)) |
(*.f64 (*.f64 b b) a) |
(*.f64 (*.f64 a b) b) |
(*.f64 a (*.f64 b b)) |
(*.f64 b (*.f64 a b)) |
(fabs.f64 (*.f64 b (*.f64 (neg.f64 b) a))) |
(fabs.f64 (*.f64 (*.f64 b b) a)) |
(*.f64 (/.f64 (PI.f64) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a (+.f64 a b) (*.f64 b b))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b)) |
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (-.f64 b a))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (-.f64 b a))) |
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (-.f64 b a))) |
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 (-.f64 b a)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))) (neg.f64 (-.f64 b a))) |
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (-.f64 b a))) |
(/.f64 (PI.f64) (-.f64 b a)) |
(neg.f64 (/.f64 (neg.f64 (PI.f64)) (-.f64 b a))) |
(neg.f64 (/.f64 (PI.f64) (neg.f64 (-.f64 b a)))) |
(*.f64 (*.f64 (neg.f64 b) a) (neg.f64 a)) |
(*.f64 (neg.f64 a) (*.f64 (neg.f64 b) a)) |
(*.f64 (*.f64 a a) b) |
(*.f64 (*.f64 a b) a) |
(*.f64 a (*.f64 a b)) |
(*.f64 b (*.f64 a a)) |
(fabs.f64 (*.f64 a (*.f64 (neg.f64 b) a))) |
(fabs.f64 (*.f64 (*.f64 a a) b)) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) b)) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) b)) |
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 b))) |
(/.f64 (neg.f64 (PI.f64)) (neg.f64 b)) |
(/.f64 (PI.f64) b) |
(neg.f64 (/.f64 (neg.f64 (PI.f64)) b)) |
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 b b))) |
Compiled 36 885 to 4 023 computations (89.1% saved)
18 alts after pruning (16 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 990 | 13 | 1 003 |
| Fresh | 12 | 3 | 15 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 006 | 18 | 1 024 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b)) |
| 98.9% | (/.f64 (*.f64 (-.f64 b a) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) (-.f64 b a))) | |
| ▶ | 65.9% | (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a)))) |
| 68.7% | (/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 a b))) (PI.f64)) (-.f64 b a)) | |
| 68.3% | (/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) (-.f64 b a))) | |
| 68.7% | (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) b) a)) (/.f64 (PI.f64) (-.f64 b a))) | |
| 60.7% | #s(approx (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) | |
| 59.1% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) a) a)) | |
| ▶ | 61.0% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b)) |
| ✓ | 60.5% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))) |
| 66.7% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b a)) #s(literal 1/2 binary64))) | |
| 55.0% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) b)) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)))) | |
| 49.0% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b b)))) | |
| 61.7% | #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (*.f64 a b))) | |
| ✓ | 57.2% | #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
| 61.7% | #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) | |
| ▶ | 57.0% | #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b)))) |
| ▶ | 57.2% | #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))) |
Compiled 988 to 690 computations (30.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) | |
| cost-diff | 0 | (-.f64 b a) | |
| cost-diff | 0 | (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a)))) | |
| cost-diff | 0 | #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b) | |
| cost-diff | 0 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b)) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 (PI.f64) a) | |
| cost-diff | 0 | (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) | |
| cost-diff | 0 | #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))) | |
| cost-diff | 0 | #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))) | |
| cost-diff | 0 | (+.f64 a b) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 335 |
| 0 | 87 | 331 |
| 1 | 187 | 329 |
| 2 | 535 | 329 |
| 3 | 2003 | 329 |
| 4 | 5528 | 329 |
| 0 | 9313 | 329 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 a b)) |
#s(literal 1/2 binary64) |
(+.f64 a b) |
a |
b |
(PI.f64) |
(*.f64 a b) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 b b) a) |
(*.f64 b b) |
b |
a |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) |
(/.f64 (PI.f64) a) |
(PI.f64) |
a |
(/.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
#s(literal 1/2 binary64) |
(*.f64 b b) |
b |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b)) |
(/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b) |
(/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) |
#s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) a) |
(PI.f64) |
a |
#s(literal 1/2 binary64) |
b |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a)))) |
(*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) |
(-.f64 b a) |
b |
a |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (+.f64 b a)) |
#s(literal 1/2 binary64) |
(+.f64 b a) |
(*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a))) |
(*.f64 b a) |
#s(approx (- b a) (neg.f64 a)) |
(neg.f64 a) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b)) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) a) (PI.f64)) b) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 a b)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 b a)) |
#s(literal 1/2 binary64) |
(+.f64 a b) |
(+.f64 b a) |
a |
b |
(PI.f64) |
(*.f64 a b) |
(*.f64 b a) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)) (PI.f64))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)) (PI.f64)) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 b b) a) |
(*.f64 b b) |
b |
a |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)) (PI.f64))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)) (PI.f64)) |
(/.f64 (PI.f64) a) |
(PI.f64) |
a |
(/.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
#s(literal 1/2 binary64) |
(*.f64 b b) |
b |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b)) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b a))) |
(/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b) |
(/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b a)) |
(/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) |
#s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) a) |
(PI.f64) |
a |
#s(literal 1/2 binary64) |
b |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) #s(approx (- b a) (neg.f64 a))) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) |
(*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (+.f64 b a))) |
(-.f64 b a) |
b |
a |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (+.f64 b a)) |
#s(literal 1/2 binary64) |
(+.f64 b a) |
(*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a))) |
(*.f64 #s(approx (- b a) (neg.f64 a)) (*.f64 b a)) |
(*.f64 b a) |
#s(approx (- b a) (neg.f64 a)) |
(neg.f64 a) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3671875 | (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) | |
| accuracy | 0.41015625 | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) | |
| accuracy | 0.5809094939304307 | (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a)))) | |
| accuracy | 29.849223039036136 | #s(approx (- b a) (neg.f64 a)) | |
| accuracy | 0.2890625 | (/.f64 (PI.f64) a) | |
| accuracy | 5.126498562841718 | (/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b) | |
| accuracy | 26.090510993662278 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b)) | |
| accuracy | 29.76886266550428 | #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) | |
| accuracy | 0.2890625 | (/.f64 (PI.f64) a) | |
| accuracy | 0.40465067424922685 | (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) | |
| accuracy | 6.787652602490896 | (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) | |
| accuracy | 24.42547205809341 | #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b)))) | |
| accuracy | 0.16472626953688402 | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))) | |
| accuracy | 0.447768684097652 | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)) | |
| accuracy | 7.017765990324763 | (*.f64 (*.f64 b b) a) | |
| accuracy | 24.42547205809341 | #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))) | |
| accuracy | 0.0 | (PI.f64) | |
| accuracy | 0.01171875 | (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) | |
| accuracy | 0.15234375 | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b)) | |
| accuracy | 0.41015625 | (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) |
| 167.0ms | 256× | 0 | valid |
Compiled 268 to 51 computations (81% saved)
ival-div: 98.0ms (72.6% of total)ival-mult: 27.0ms (20% of total)ival-sub: 4.0ms (3% of total)ival-add: 3.0ms (2.2% of total)ival-pi: 1.0ms (0.7% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 a b)) |
(+.f64 a b) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) |
(/.f64 (PI.f64) a) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b)) |
(/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b) |
(/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) |
#s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a)))) |
(*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) |
(-.f64 b a) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(*.f64 (*.f64 b b) a) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
#s(approx (- b a) (neg.f64 a)) |
| Outputs |
|---|
(* 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) b)) |
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3)))))))) |
(/ 1/2 b) |
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) |
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) |
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) |
b |
(+ a b) |
(/ (+ (* 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 (* a (pow b 2))) |
(/ (PI) a) |
(* -1/2 (/ (PI) (pow a 3))) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3)) |
(* -1/2 (/ (* b (PI)) (pow a 3))) |
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) (pow a 3)) |
(* -1/2 (/ (* b (PI)) (pow a 2))) |
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) (pow a 2)) |
(* 1/2 (PI)) |
(+ (* 1/2 (PI)) (* 1/2 (* a (- (* -1 (/ (PI) b)) (/ (PI) b))))) |
(+ (* 1/2 (PI)) (* a (+ (* 1/2 (* a (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))) (* 1/2 (- (* -1 (/ (PI) b)) (/ (PI) b)))))) |
(+ (* 1/2 (PI)) (* a (+ (* 1/2 (- (* -1 (/ (PI) b)) (/ (PI) b))) (* a (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (PI) (pow b 3))))) (* 1/2 (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))))))) |
(+ b (* -1 a)) |
(* a (pow b 2)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 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) a)) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a) |
(/ 1/2 a) |
(/ (+ 1/2 (* -1/2 (/ b a))) a) |
(/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a) |
(/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a) |
a |
(* a (+ 1 (/ b a))) |
(/ (+ (* 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))) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) (pow a 2)) |
(* -1/2 (PI)) |
(+ (* -1/2 (PI)) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (PI)))) a))) |
(+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (PI)))) a)))) |
(+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (+ (* 1/2 (/ (* (pow b 2) (- (* b (PI)) (* -1 (* b (PI))))) (pow a 3))) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (PI)))) a))))) |
(* -1 a) |
(* a (- (/ b a) 1)) |
(/ (+ (* -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 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a)) |
(* -1 (/ (- (* 1/2 (/ b a)) 1/2) a)) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a)) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(/ (+ (* -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)) (* -1/2 (/ (- (* -1 (* b (PI))) (* b (PI))) a))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* b (- (* -1 (* b (PI))) (* b (PI)))) a)) (* 1/2 (- (* -1 (* b (PI))) (* b (PI))))) a)) (* -1/2 (PI))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (- (* -1 (* b (PI))) (* b (PI)))) a)) (* 1/2 (* b (- (* -1 (* b (PI))) (* b (PI)))))) a)) (* 1/2 (- (* -1 (* b (PI))) (* b (PI))))) a)) (* -1/2 (PI))) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(/ (+ (* -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 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a))) |
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3)))))) |
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3)))))))) |
(+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a))) |
(+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a))) |
(+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a))) |
(/ (+ (* 1/2 (* b (- (* -1 (/ (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 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) |
(+ (* -1/2 (PI)) (* 1/2 (* b (- (/ (PI) a) (* -1 (/ (PI) a)))))) |
(+ (* -1/2 (PI)) (* b (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2))))) (* 1/2 (- (/ (PI) a) (* -1 (/ (PI) a))))))) |
(+ (* -1/2 (PI)) (* b (+ (* 1/2 (- (/ (PI) a) (* -1 (/ (PI) a)))) (* b (+ (* 1/2 (* b (- (/ (PI) (pow a 3)) (* -1 (/ (PI) (pow a 3)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2))))))))) |
(- b a) |
(/ 1/2 (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 (/ (* a (PI)) b)) (* 1/2 (PI))) b) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b) |
(/ (+ 1/2 (* -1/2 (/ a b))) b) |
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* 1/2 (/ a b))) b) |
(/ (- (+ 1/2 (* -1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) b) |
(* b (+ 1 (/ a b))) |
(/ (+ (* 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) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))) |
(* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (PI) (* a b))))) |
(+ (* 1/2 (PI)) (* 1/2 (/ (- (* -1 (* a (PI))) (* a (PI))) b))) |
(+ (* -1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))) (+ (* 1/2 (PI)) (* 1/2 (/ (- (* -1 (* a (PI))) (* a (PI))) b)))) |
(+ (* -1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))) (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) (pow b 3))) (* 1/2 (/ (- (* -1 (* a (PI))) (* a (PI))) b))))) |
(* b (+ 1 (* -1 (/ a b)))) |
(/ (+ (* -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 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b)) |
(* -1 (/ (- (* 1/2 (/ a b)) 1/2) b)) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b)) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(/ (+ (* -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 (* b (+ (* -1/2 (/ (PI) (* (pow a 2) b))) (* 1/2 (/ (PI) (pow a 3)))))) |
(* -1 (* b (+ (* -1/2 (/ (PI) (* a b))) (* 1/2 (/ (PI) (pow a 2)))))) |
(+ (* -1 (/ (+ (* -1/2 (- (* -1 (* a (PI))) (* a (PI)))) (* 1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) b))) b)) (* 1/2 (PI))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (- (* -1 (* a (PI))) (* a (PI))))) (* 1/2 (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) b))) b)) (* -1/2 (- (* -1 (* a (PI))) (* a (PI))))) b)) (* 1/2 (PI))) |
(* -1 (* b (- (/ a b) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | b | @ | -inf | ((/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (* (/ 1/2 (+ a b)) (PI)) (/ 1/2 (+ a b)) (+ a b) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b b) a))) (PI) (/ 1/2 (* (* b b) a)) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) a) (/ 1/2 (* b b))) (/ (PI) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) b) (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (- b a) (* (PI) (/ 1/2 (+ b a))) (* (* b b) a) (/ 1/2 (* b b)) (- b a)) |
| 3.0ms | a | @ | -inf | ((/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (* (/ 1/2 (+ a b)) (PI)) (/ 1/2 (+ a b)) (+ a b) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b b) a))) (PI) (/ 1/2 (* (* b b) a)) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) a) (/ 1/2 (* b b))) (/ (PI) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) b) (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (- b a) (* (PI) (/ 1/2 (+ b a))) (* (* b b) a) (/ 1/2 (* b b)) (- b a)) |
| 3.0ms | a | @ | inf | ((/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (* (/ 1/2 (+ a b)) (PI)) (/ 1/2 (+ a b)) (+ a b) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b b) a))) (PI) (/ 1/2 (* (* b b) a)) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) a) (/ 1/2 (* b b))) (/ (PI) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) b) (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (- b a) (* (PI) (/ 1/2 (+ b a))) (* (* b b) a) (/ 1/2 (* b b)) (- b a)) |
| 3.0ms | a | @ | 0 | ((/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (* (/ 1/2 (+ a b)) (PI)) (/ 1/2 (+ a b)) (+ a b) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b b) a))) (PI) (/ 1/2 (* (* b b) a)) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) a) (/ 1/2 (* b b))) (/ (PI) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) b) (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (- b a) (* (PI) (/ 1/2 (+ b a))) (* (* b b) a) (/ 1/2 (* b b)) (- b a)) |
| 3.0ms | b | @ | inf | ((/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (* (/ 1/2 (+ a b)) (PI)) (/ 1/2 (+ a b)) (+ a b) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b b) a))) (PI) (/ 1/2 (* (* b b) a)) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) a) (/ 1/2 (* b b))) (/ (PI) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) b) (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (- b a) (* (PI) (/ 1/2 (+ b a))) (* (* b b) a) (/ 1/2 (* b b)) (- b a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 704 | 3215 |
| 1 | 2497 | 2776 |
| 0 | 8742 | 2659 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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) b)) |
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3)))))))) |
(/ 1/2 b) |
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) |
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) |
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) |
b |
(+ a b) |
(/ (+ (* 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 (* a (pow b 2))) |
(/ (PI) a) |
(* -1/2 (/ (PI) (pow a 3))) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3)) |
(* -1/2 (/ (* b (PI)) (pow a 3))) |
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) (pow a 3)) |
(* -1/2 (/ (* b (PI)) (pow a 2))) |
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) (pow a 2)) |
(* 1/2 (PI)) |
(+ (* 1/2 (PI)) (* 1/2 (* a (- (* -1 (/ (PI) b)) (/ (PI) b))))) |
(+ (* 1/2 (PI)) (* a (+ (* 1/2 (* a (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))) (* 1/2 (- (* -1 (/ (PI) b)) (/ (PI) b)))))) |
(+ (* 1/2 (PI)) (* a (+ (* 1/2 (- (* -1 (/ (PI) b)) (/ (PI) b))) (* a (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (PI) (pow b 3))))) (* 1/2 (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))))))) |
(+ b (* -1 a)) |
(* a (pow b 2)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 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) a)) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a) |
(/ 1/2 a) |
(/ (+ 1/2 (* -1/2 (/ b a))) a) |
(/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a) |
(/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a) |
a |
(* a (+ 1 (/ b a))) |
(/ (+ (* 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))) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) (pow a 2)) |
(* -1/2 (PI)) |
(+ (* -1/2 (PI)) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (PI)))) a))) |
(+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (PI)))) a)))) |
(+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (+ (* 1/2 (/ (* (pow b 2) (- (* b (PI)) (* -1 (* b (PI))))) (pow a 3))) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (PI)))) a))))) |
(* -1 a) |
(* a (- (/ b a) 1)) |
(/ (+ (* -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 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a)) |
(* -1 (/ (- (* 1/2 (/ b a)) 1/2) a)) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a)) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(/ (+ (* -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)) (* -1/2 (/ (- (* -1 (* b (PI))) (* b (PI))) a))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* b (- (* -1 (* b (PI))) (* b (PI)))) a)) (* 1/2 (- (* -1 (* b (PI))) (* b (PI))))) a)) (* -1/2 (PI))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (- (* -1 (* b (PI))) (* b (PI)))) a)) (* 1/2 (* b (- (* -1 (* b (PI))) (* b (PI)))))) a)) (* 1/2 (- (* -1 (* b (PI))) (* b (PI))))) a)) (* -1/2 (PI))) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(/ (+ (* -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 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a))) |
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3)))))) |
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3)))))))) |
(+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a))) |
(+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a))) |
(+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a))) |
(/ (+ (* 1/2 (* b (- (* -1 (/ (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 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) |
(+ (* -1/2 (PI)) (* 1/2 (* b (- (/ (PI) a) (* -1 (/ (PI) a)))))) |
(+ (* -1/2 (PI)) (* b (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2))))) (* 1/2 (- (/ (PI) a) (* -1 (/ (PI) a))))))) |
(+ (* -1/2 (PI)) (* b (+ (* 1/2 (- (/ (PI) a) (* -1 (/ (PI) a)))) (* b (+ (* 1/2 (* b (- (/ (PI) (pow a 3)) (* -1 (/ (PI) (pow a 3)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2))))))))) |
(- b a) |
(/ 1/2 (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 (/ (* a (PI)) b)) (* 1/2 (PI))) b) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b) |
(/ (+ 1/2 (* -1/2 (/ a b))) b) |
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* 1/2 (/ a b))) b) |
(/ (- (+ 1/2 (* -1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) b) |
(* b (+ 1 (/ a b))) |
(/ (+ (* 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) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))) |
(* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (PI) (* a b))))) |
(+ (* 1/2 (PI)) (* 1/2 (/ (- (* -1 (* a (PI))) (* a (PI))) b))) |
(+ (* -1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))) (+ (* 1/2 (PI)) (* 1/2 (/ (- (* -1 (* a (PI))) (* a (PI))) b)))) |
(+ (* -1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))) (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) (pow b 3))) (* 1/2 (/ (- (* -1 (* a (PI))) (* a (PI))) b))))) |
(* b (+ 1 (* -1 (/ a b)))) |
(/ (+ (* -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 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b)) |
(* -1 (/ (- (* 1/2 (/ a b)) 1/2) b)) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b)) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(/ (+ (* -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 (* b (+ (* -1/2 (/ (PI) (* (pow a 2) b))) (* 1/2 (/ (PI) (pow a 3)))))) |
(* -1 (* b (+ (* -1/2 (/ (PI) (* a b))) (* 1/2 (/ (PI) (pow a 2)))))) |
(+ (* -1 (/ (+ (* -1/2 (- (* -1 (* a (PI))) (* a (PI)))) (* 1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) b))) b)) (* 1/2 (PI))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (- (* -1 (* a (PI))) (* a (PI))))) (* 1/2 (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) b))) b)) (* -1/2 (- (* -1 (* a (PI))) (* a (PI))))) b)) (* 1/2 (PI))) |
(* -1 (* b (- (/ a b) 1))) |
| Outputs |
|---|
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 (PI.f64) (*.f64 b b)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))))) a)) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a)) a) |
(* 1/2 (/ (PI) b)) |
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 a (/.f64 (PI.f64) (*.f64 b b))) (/.f64 (PI.f64) b))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (*.f64 b b)) (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))))) a (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3)))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (PI.f64) b) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))))) a)) a (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) |
(/ 1/2 b) |
(/.f64 #s(literal 1/2 binary64) b) |
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) |
(fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) b)) |
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) b)) |
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64)))) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a (/.f64 #s(literal 1/2 binary64) b)) |
b |
(+ a b) |
(+.f64 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) (fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) a (/.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 (fma.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b)) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64))) a (*.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 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 (fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (fma.f64 (neg.f64 a) (/.f64 (fma.f64 #s(literal 0 binary64) (fma.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64)))))) (*.f64 b b)) (fma.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64))))) (*.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a) |
(/ 1/2 (* a (pow b 2))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)) |
(/ (PI) a) |
(/.f64 (PI.f64) a) |
(* -1/2 (/ (PI) (pow a 3))) |
(*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (*.f64 a (/.f64 (PI.f64) b)))) (pow.f64 a #s(literal 3 binary64))) |
(* -1/2 (/ (* b (PI)) (pow a 3))) |
(*.f64 (*.f64 b (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) (pow a 3)) |
(/.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) a (*.f64 #s(literal -1/2 binary64) b))) (pow.f64 a #s(literal 3 binary64))) |
(* -1/2 (/ (* b (PI)) (pow a 2))) |
(*.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 (PI.f64) (*.f64 a a))) |
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) (pow a 2)) |
(/.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) a (*.f64 #s(literal -1/2 binary64) b))) (*.f64 a a)) |
(* 1/2 (PI)) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(+ (* 1/2 (PI)) (* 1/2 (* a (- (* -1 (/ (PI) b)) (/ (PI) b))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) b) (/.f64 (PI.f64) b)) a (PI.f64))) |
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(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 b) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (*.f64 (PI.f64) (/.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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 4 binary64)))))) (*.f64 a a)))) b (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 4 binary64))))))) b (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #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 (fma.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (fma.f64 (/.f64 (fma.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) (pow.f64 a #s(literal 3 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 4 binary64)))))) (*.f64 a a))) (fma.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 4 binary64)))))) (*.f64 a a)) b (neg.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (*.f64 (PI.f64) (/.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 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 4 binary64))))))) b (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal 1/2 binary64))) b) |
(+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 b (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (PI.f64) (*.f64 a a)))) |
(+ (* -1/2 (PI)) (* 1/2 (* b (- (/ (PI) a) (* -1 (/ (PI) a)))))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) b)) a))) |
(+ (* -1/2 (PI)) (* b (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2))))) (* 1/2 (- (/ (PI) a) (* -1 (/ (PI) a))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 a a)) (/.f64 (PI.f64) (*.f64 a a))) b (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a)))) b (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* b (+ (* 1/2 (- (/ (PI) a) (* -1 (/ (PI) a)))) (* b (+ (* 1/2 (* b (- (/ (PI) (pow a 3)) (* -1 (/ (PI) (pow a 3)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) b (-.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 a a)) (/.f64 (PI.f64) (*.f64 a a))))) b (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a)) #s(literal 1/2 binary64))) b (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(- b a) |
(-.f64 b a) |
(/ 1/2 (pow b 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 a (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) a)))) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (*.f64 (*.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 a (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) a)))) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 a (/.f64 (PI.f64) b)) (PI.f64))) b) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) b) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 (PI.f64) b) (PI.f64)))) b) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 (PI.f64) b) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 (PI.f64) b) (PI.f64)))) b) |
(/ (+ 1/2 (* -1/2 (/ a b))) b) |
(/.f64 (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) b) |
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* 1/2 (/ a b))) b) |
(/.f64 (fma.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) b) |
(/ (- (+ 1/2 (* -1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) b) |
(/.f64 (fma.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 (/.f64 a b) #s(literal -1/2 binary64)))) b) |
(* b (+ 1 (/ a b))) |
(fma.f64 (/.f64 a b) b b) |
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (+.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) 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 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (fma.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64) (*.f64 (neg.f64 (PI.f64)) a)) b) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) b) (/.f64 (PI.f64) a)))) (*.f64 b b)) |
(/ (+ (* -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)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (fma.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64) (*.f64 (neg.f64 (PI.f64)) a)) b) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) b) (/.f64 (PI.f64) a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 0 binary64) (PI.f64) (fma.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) (*.f64 a a))))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 b b)) |
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) b) |
(* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (PI) (* a b))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (/.f64 (PI.f64) a) b))) b) |
(+ (* 1/2 (PI)) (* 1/2 (/ (- (* -1 (* a (PI))) (* a (PI))) b))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) b) (PI.f64))) |
(+ (* -1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))) (+ (* 1/2 (PI)) (* 1/2 (/ (- (* -1 (* a (PI))) (* a (PI))) b)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) b)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) b) (PI.f64)))) |
(+ (* -1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))) (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) (pow b 3))) (* 1/2 (/ (- (* -1 (* a (PI))) (* a (PI))) b))))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) b)) (PI.f64)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) b)))) |
(* b (+ 1 (* -1 (/ a b)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 a (/.f64 (PI.f64) b)) (PI.f64))) (neg.f64 b))) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (*.f64 a a) (PI.f64)) b) (*.f64 (PI.f64) a))) (neg.f64 b))) (neg.f64 b))) (*.f64 b b)) |
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (*.f64 a (/.f64 (PI.f64) b)))) (neg.f64 b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (PI.f64) a) (/.f64 (*.f64 (*.f64 a a) (PI.f64)) b))) (neg.f64 b))) (neg.f64 b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (PI.f64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 a a) (PI.f64)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b))) (neg.f64 b))) (neg.f64 b))) (neg.f64 b)) |
(* -1 (/ (- (* 1/2 (/ a b)) 1/2) b)) |
(/.f64 (-.f64 (*.f64 (/.f64 a b) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 b)) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 a a) b) a)) b) #s(literal 1/2 binary64)) (neg.f64 b)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 a a))) b) (*.f64 #s(literal 1/2 binary64) a)) (neg.f64 b)) #s(literal 1/2 binary64)) (neg.f64 b)) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))) |
(/ (+ (* -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)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a)) (/.f64 (fma.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64) (*.f64 (PI.f64) a)) b))) b)) (*.f64 b b)) |
(/ (+ (* -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)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (fma.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 a) a) (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) (fma.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (PI.f64)))) b) (fma.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64) (*.f64 (PI.f64) a)))) (neg.f64 b))) (neg.f64 b))) (*.f64 b b)) |
(* -1 (* b (+ (* -1/2 (/ (PI) (* (pow a 2) b))) (* 1/2 (/ (PI) (pow a 3)))))) |
(*.f64 (neg.f64 b) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))))) |
(* -1 (* b (+ (* -1/2 (/ (PI) (* a b))) (* 1/2 (/ (PI) (pow a 2)))))) |
(*.f64 (neg.f64 b) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 (PI.f64) a) b) (/.f64 (PI.f64) (*.f64 a a))))) |
(+ (* -1 (/ (+ (* -1/2 (- (* -1 (* a (PI))) (* a (PI)))) (* 1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) b))) b)) (* 1/2 (PI))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) (*.f64 a (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) b)))) (neg.f64 b))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (- (* -1 (* a (PI))) (* a (PI))))) (* 1/2 (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) b))) b)) (* -1/2 (- (* -1 (* a (PI))) (* a (PI))))) b)) (* 1/2 (PI))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) a) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) a) a) b))) (neg.f64 b))) (neg.f64 b))) |
(* -1 (* b (- (/ a b) 1))) |
(*.f64 (neg.f64 b) (-.f64 (/.f64 a b) #s(literal 1 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 276 |
| 0 | 87 | 272 |
| 1 | 314 | 246 |
| 2 | 2517 | 246 |
| 0 | 8712 | 246 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 a b)) |
(+.f64 a b) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) |
(/.f64 (PI.f64) a) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b)) |
(/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b) |
(/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) |
#s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a)))) |
(*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) |
(-.f64 b a) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(*.f64 (*.f64 b b) a) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
#s(approx (- b a) (neg.f64 a)) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (/.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (-.f64 b a))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) b) (/.f64 (PI.f64) a)) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b))) |
(*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) a)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) a) (/.f64 (PI.f64) b)) |
(*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) b)) |
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) |
(*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (/.f64 (/.f64 (-.f64 b a) a) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (/.f64 (PI.f64) b) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b))) |
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))) (neg.f64 (/.f64 (+.f64 b a) (*.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 b a) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))) (*.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))) (neg.f64 (*.f64 #s(literal -2 binary64) (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))) (neg.f64 (neg.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))) (neg.f64 (+.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) b))) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (PI.f64) b) a))) (neg.f64 (*.f64 #s(literal -2 binary64) (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) b) a))) (neg.f64 (neg.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) b) a))) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) a))) (neg.f64 (+.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 (/.f64 (-.f64 b a) a) b))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (PI.f64) (/.f64 (/.f64 (-.f64 b a) a) b))) (neg.f64 (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)))) (neg.f64 (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))))) (neg.f64 (/.f64 (+.f64 b a) (*.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) a) (PI.f64))) (neg.f64 b)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64))) (neg.f64 (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b))) (fma.f64 (neg.f64 b) b (*.f64 a a))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (fma.f64 (neg.f64 b) b (*.f64 a a))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) a)))) (neg.f64 (neg.f64 b))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 b) a)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (PI.f64) (-.f64 b a)))) (neg.f64 (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (*.f64 #s(literal 2 binary64) (+.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)))) (neg.f64 (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (-.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (PI.f64) (-.f64 b a)))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) (-.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (-.f64 b a)))) (neg.f64 (*.f64 (*.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (/.f64 (+.f64 b a) (*.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 b a))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (*.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))))) (neg.f64 (*.f64 (-.f64 b a) (/.f64 (+.f64 b a) (*.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))))) (neg.f64 (*.f64 (-.f64 b a) (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))))) (neg.f64 (*.f64 (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 b a))) (/.f64 (+.f64 b a) (*.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))))) (neg.f64 (*.f64 (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 b a))) (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a))) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))))) (neg.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (/.f64 (+.f64 b a) (*.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))))) (neg.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a))) (neg.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))))) (neg.f64 (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (PI.f64))) (neg.f64 (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 b a)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (PI.f64))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 b a)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))))) (neg.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b))) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) b)) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (neg.f64 (*.f64 (neg.f64 (+.f64 b a)) (*.f64 b a)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (/.f64 (+.f64 b a) (*.f64 b a))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 b a)) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b))) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b))) (neg.f64 (+.f64 b a))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b))) (*.f64 #s(literal 2 binary64) (+.f64 b a))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b))) (+.f64 b a)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) b)) a) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (PI.f64) b) a)) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) b) a)) (neg.f64 (+.f64 b a))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) b) a)) (*.f64 #s(literal 2 binary64) (+.f64 b a))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) a)) (+.f64 b a)) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 (/.f64 (-.f64 b a) a) b)) #s(literal 2 binary64)) |
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(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (/.f64 (+.f64 b a) (*.f64 b a))) |
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(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) a) (PI.f64)) b) |
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a)))) #s(literal 2 binary64)) |
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(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (neg.f64 (+.f64 b a)) (*.f64 b a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 b a) (*.f64 b a)))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 b a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (/.f64 (+.f64 b a) (*.f64 b a)))) |
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))))) |
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (PI.f64)) (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 b a))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (PI.f64)) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 b a))))) |
(/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (*.f64 b a) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) a)) b) |
(/.f64 (*.f64 (/.f64 (*.f64 (-.f64 b a) (PI.f64)) a) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) b)) (-.f64 b a)) |
(/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)) (*.f64 #s(literal 2 binary64) (+.f64 b a))) |
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 b a))) (*.f64 b a))) |
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 b a))))) |
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (*.f64 b a)))) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 b a)) (*.f64 b a))) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (*.f64 (neg.f64 b) a)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (-.f64 b a) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (neg.f64 (*.f64 (*.f64 b a) (-.f64 b a)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (-.f64 b a) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (neg.f64 (*.f64 (-.f64 b a) (*.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
(/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (*.f64 (*.f64 b a) (-.f64 b a))) |
(/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (*.f64 (-.f64 b a) (*.f64 b a))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) (*.f64 b a)) |
(/.f64 (PI.f64) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (*.f64 b a))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (*.f64 b a))) |
(neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) (*.f64 (neg.f64 b) a))) |
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 a a (*.f64 (neg.f64 b) b))) (-.f64 a b)) |
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (-.f64 b a) (*.f64 a a))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) |
(*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (-.f64 b a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (+.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal -2 binary64) (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (neg.f64 (neg.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (*.f64 #s(literal -2 binary64) (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (+.f64 b a))) |
(/.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (neg.f64 (+.f64 b a))) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (+.f64 b a))) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) |
(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal -1 binary64) (log.f64 (PI.f64)))) |
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal -1 binary64)))) |
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(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 a a (*.f64 (neg.f64 b) b))) (-.f64 a b)) |
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(*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))) (-.f64 b a)) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 b a) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (+.f64 b a))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64))) #s(literal -2 binary64)) |
(/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (+.f64 b a))))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (neg.f64 (+.f64 b a))))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (+.f64 b a))) |
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(/.f64 #s(literal 1/2 binary64) (+.f64 b a)) |
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(neg.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 b a))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (+.f64 b a)))) |
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(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) (-.f64 b a)) |
(*.f64 (-.f64 b a) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 (-.f64 b a) (PI.f64))) |
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (neg.f64 (+.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal -2 binary64) (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) #s(literal 1/2 binary64))) (neg.f64 (+.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 b b (*.f64 a (+.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 (+.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (+.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (*.f64 (+.f64 b a) (fma.f64 b b (*.f64 a (+.f64 b a)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)))) (neg.f64 (fma.f64 b b (*.f64 a (+.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)))) (neg.f64 (+.f64 b a))) |
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) (+.f64 b a)) |
(/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
(/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) #s(literal -1/2 binary64)) (neg.f64 (+.f64 b a))) |
(/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 b a))) |
(/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) #s(literal 1/2 binary64)) (+.f64 b a)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (+.f64 b a)))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) (*.f64 (-.f64 b a) (+.f64 b a))) (+.f64 b a)) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a)) |
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (+.f64 b a) (fma.f64 b b (*.f64 a (+.f64 b a))))) |
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (pow.f64 (+.f64 b a) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (+.f64 b a))) |
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (+.f64 b a) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64))) (fma.f64 b b (*.f64 a (+.f64 b a)))) |
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64))) (+.f64 b a)) |
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (-.f64 b a) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (-.f64 b a))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) |
(*.f64 (/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 (neg.f64 b) b))) (-.f64 a b)) |
(*.f64 (/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (-.f64 b a) (*.f64 a a))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) (fma.f64 (neg.f64 b) b (*.f64 a a))) (-.f64 b a)) |
(*.f64 (+.f64 b a) (/.f64 (-.f64 b a) (+.f64 b a))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 b b (*.f64 a (+.f64 b a)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (*.f64 a (+.f64 b a)))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (fma.f64 b b (*.f64 a (+.f64 b a))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (+.f64 b a)) (*.f64 (+.f64 b a) (*.f64 a a))) (pow.f64 (+.f64 b a) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 b b) (+.f64 b a) (*.f64 (+.f64 b a) (*.f64 (neg.f64 a) a))) (pow.f64 (+.f64 b a) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 b b (*.f64 a (+.f64 b a))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 b) b (*.f64 a a))) (neg.f64 (neg.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (+.f64 b a)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (*.f64 (fma.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (+.f64 b a)))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 b b (*.f64 a a)) (+.f64 b a))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 a (+.f64 b a)))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (+.f64 b a))) |
(/.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) (neg.f64 (+.f64 b a))) |
(/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (+.f64 b a)) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 b))) (sqrt.f64 (neg.f64 (neg.f64 b))) (*.f64 (neg.f64 a) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) (*.f64 (neg.f64 a) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (*.f64 (neg.f64 a) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) b (*.f64 (neg.f64 a) #s(literal 1 binary64))) |
(fma.f64 b #s(literal 1 binary64) (*.f64 (neg.f64 a) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (*.f64 a (+.f64 b a)))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b b (*.f64 a (+.f64 b a))))) |
(-.f64 (/.f64 (*.f64 b b) (+.f64 b a)) (/.f64 (*.f64 a a) (+.f64 b a))) |
(-.f64 b a) |
(+.f64 (/.f64 (*.f64 b b) (+.f64 b a)) (/.f64 (*.f64 (neg.f64 a) a) (+.f64 b a))) |
(+.f64 b (*.f64 (neg.f64 a) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 a a (*.f64 (neg.f64 b) b))) (-.f64 a b)) |
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (-.f64 b a) (*.f64 a a))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) |
(*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (-.f64 b a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (+.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal -2 binary64) (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (neg.f64 (neg.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (*.f64 #s(literal -2 binary64) (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (+.f64 b a))) |
(/.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (neg.f64 (+.f64 b a))) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (+.f64 b a))) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) |
(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal -1 binary64) (log.f64 (PI.f64)))) |
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal -1 binary64)))) |
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) |
(*.f64 (*.f64 (neg.f64 b) a) (neg.f64 b)) |
(*.f64 (neg.f64 b) (*.f64 (neg.f64 b) a)) |
(*.f64 (*.f64 b a) b) |
(*.f64 (*.f64 b b) a) |
(*.f64 b (*.f64 b a)) |
(*.f64 a (*.f64 b b)) |
(fabs.f64 (*.f64 (*.f64 (neg.f64 b) b) a)) |
(fabs.f64 (*.f64 (*.f64 b b) a)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 b))) (neg.f64 (neg.f64 b))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) b))) (neg.f64 (neg.f64 b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 b)) (neg.f64 b)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) b)) (neg.f64 b)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) b) b) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 b) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b b))) |
#s(approx (- b a) (neg.f64 a)) |
Compiled 25 569 to 3 124 computations (87.8% saved)
20 alts after pruning (16 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 822 | 14 | 836 |
| Fresh | 9 | 2 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 834 | 20 | 854 |
| Status | Accuracy | Program |
|---|---|---|
| 95.1% | (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) b) a) | |
| 94.0% | (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) a) (PI.f64)) b) | |
| 95.2% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) b)) a) | |
| 99.6% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) (*.f64 a b)) | |
| 99.0% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) | |
| 68.7% | (/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 a b))) (PI.f64)) (-.f64 b a)) | |
| 66.6% | (/.f64 (*.f64 #s(approx (/ 1/2 (+ a b)) (/.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 a b)) | |
| 61.7% | (/.f64 #s(approx (* (/ 1/2 (+ a b)) (PI)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b)) | |
| 66.7% | (/.f64 #s(approx (* (/ 1/2 (+ a b)) (PI)) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))) (*.f64 a b)) | |
| 66.4% | (/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a)))) | |
| 99.6% | (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 b a))) | |
| 60.7% | #s(approx (/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) | |
| 66.7% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) b) a)) | |
| ✓ | 60.5% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))) |
| ✓ | 57.2% | #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
| 61.7% | #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) | |
| ✓ | 57.0% | #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b)))) |
| 57.0% | #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b b)))) | |
| ✓ | 57.2% | #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))) |
| 61.7% | #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)))) |
Compiled 2 092 to 617 computations (70.5% saved)
| Inputs |
|---|
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))) |
#s(approx (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a)))) |
(/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) (-.f64 b a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b b)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (*.f64 a b))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (* (/ 1/2 (+ a b)) (PI)) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))) (*.f64 a b)) |
(/.f64 #s(approx (* (/ 1/2 (+ a b)) (PI)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b)) |
(/.f64 (*.f64 #s(approx (/ 1/2 (+ a b)) (/.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 a b)) |
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))) (/.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 b a))) |
(/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 a b))) (PI.f64)) (-.f64 b a)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) b) a)) |
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) b) a)) (/.f64 (PI.f64) (-.f64 b a))) |
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) b)) a) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) a) (PI.f64)) b) |
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) b) a) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b)) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 b b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) b)) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) b))) |
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))) |
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b)) (/.f64 (PI.f64) b)) (*.f64 (*.f64 b a) b))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))) |
(*.f64 (/.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) (*.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) (-.f64 b a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) |
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (*.f64 (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) b) (-.f64 b a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) a) a)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) a) b))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) a)) |
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) 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))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) b) a)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) a) a)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) b) b)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) (*.f64 a b)) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) (-.f64 b a))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 b a))) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b)) |
3 calls:
| 31.0ms | b |
| 15.0ms | a |
| 13.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (*.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))) |
| 99.6% | 1 | a |
| 99.6% | 1 | b |
Compiled 23 to 19 computations (17.4% saved)
| Inputs |
|---|
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))) |
#s(approx (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a)))) |
(/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) (-.f64 b a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b b)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (*.f64 a b))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (* (/ 1/2 (+ a b)) (PI)) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))) (*.f64 a b)) |
(/.f64 #s(approx (* (/ 1/2 (+ a b)) (PI)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b)) |
(/.f64 (*.f64 #s(approx (/ 1/2 (+ a b)) (/.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 a b)) |
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))) (/.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 b a))) |
(/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 a b))) (PI.f64)) (-.f64 b a)) |
| Outputs |
|---|
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 b a))) |
3 calls:
| 6.0ms | a |
| 6.0ms | b |
| 5.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (*.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))) |
| 99.6% | 1 | b |
| 99.6% | 1 | a |
Compiled 23 to 19 computations (17.4% saved)
| Inputs |
|---|
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))) |
#s(approx (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a)))) |
(/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) (-.f64 b a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b b)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (*.f64 a b))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (* (/ 1/2 (+ a b)) (PI)) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))) (*.f64 a b)) |
(/.f64 #s(approx (* (/ 1/2 (+ a b)) (PI)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b)) |
(/.f64 (*.f64 #s(approx (/ 1/2 (+ a b)) (/.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 a b)) |
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))) (/.f64 (PI.f64) (-.f64 b a))) |
| Outputs |
|---|
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
3 calls:
| 11.0ms | a |
| 6.0ms | b |
| 5.0ms | (*.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 |
|---|---|---|
| 99.0% | 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))) |
| 99.0% | 1 | a |
| 99.0% | 1 | b |
Compiled 23 to 19 computations (17.4% saved)
| Inputs |
|---|
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))) |
#s(approx (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a)))) |
(/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) (-.f64 b a))) |
| Outputs |
|---|
(/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) (-.f64 b a))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) (-.f64 b a))) |
3 calls:
| 3.0ms | b |
| 3.0ms | a |
| 3.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.7% | 4 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 89.8% | 3 | a |
| 89.2% | 3 | b |
Compiled 23 to 19 computations (17.4% saved)
| Inputs |
|---|
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))) |
#s(approx (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a)))) |
| Outputs |
|---|
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) |
2 calls:
| 6.0ms | a |
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.2% | 3 | b |
| 87.6% | 3 | a |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))) |
#s(approx (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) |
2 calls:
| 2.0ms | b |
| 2.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.9% | 3 | a |
| 83.5% | 3 | b |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) |
3 calls:
| 2.0ms | b |
| 2.0ms | a |
| 2.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.7% | 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))) |
| 61.7% | 1 | a |
| 61.7% | 1 | b |
Compiled 23 to 19 computations (17.4% saved)
Total -2.9b remaining (-11.7%)
Threshold costs -2.9b (-11.7%)
| Inputs |
|---|
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))) |
| Outputs |
|---|
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)))) |
3 calls:
| 1.0ms | b |
| 1.0ms | a |
| 1.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.7% | 1 | a |
| 61.7% | 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))) |
| 61.7% | 1 | b |
Compiled 23 to 19 computations (17.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 4.327131367520582e-100 | 2.8716076289486922e-93 |
| 16.0ms | -1.661957728389652e-42 | -4.0060105286887664e-46 |
| 23.0ms | 272× | 0 | valid |
Compiled 942 to 717 computations (23.9% saved)
ival-div: 7.0ms (40.7% of total)ival-mult: 6.0ms (34.9% of total)ival-sub: 2.0ms (11.6% of total)ival-pi: 1.0ms (5.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 9.272238503597612e-64 | 2.0066839411075418e-56 |
| 31.0ms | -3.507139220684476e-17 | -3.8989151584077076e-22 |
| 43.0ms | 288× | 0 | valid |
Compiled 1 050 to 776 computations (26.1% saved)
ival-div: 19.0ms (52.5% of total)ival-pi: 7.0ms (19.4% of total)ival-mult: 7.0ms (19.4% of total)ival-sub: 3.0ms (8.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.272238503597612e-64 | 2.0066839411075418e-56 |
| 1.0ms | -3.507139220684476e-17 | -3.8989151584077076e-22 |
Compiled 1 140 to 848 computations (25.6% saved)
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 295 |
| 1 | 137 | 283 |
| 2 | 308 | 283 |
| 3 | 886 | 283 |
| 4 | 3446 | 283 |
| 5 | 5880 | 283 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 b a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
(if (<=.f64 a #s(literal -2259756624739205/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) (-.f64 b a))) (if (<=.f64 a #s(literal 2348542582773833/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) (/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) (-.f64 b a))))) |
(if (<=.f64 b #s(literal -2076918743413931/2596148429267413814265248164610048 binary64)) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) (if (<=.f64 b #s(literal 4417117661945961/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)) (/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a)))) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))))) |
(if (<=.f64 b #s(literal -2076918743413931/2596148429267413814265248164610048 binary64)) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) (if (<=.f64 b #s(literal 4417117661945961/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)))) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 b a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
(if (<=.f64 a #s(literal -2259756624739205/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) (-.f64 b a))) (if (<=.f64 a #s(literal 2348542582773833/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) (/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) (-.f64 b a))))) |
(if (or (<=.f64 a #s(literal -2259756624739205/6277101735386680763835789423207666416102355444464034512896 binary64)) (not (<=.f64 a #s(literal 2348542582773833/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)))) (/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) (-.f64 b a))) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64)))) |
(if (<=.f64 b #s(literal -2076918743413931/2596148429267413814265248164610048 binary64)) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) (if (<=.f64 b #s(literal 4417117661945961/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)) (/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a)))) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))))) |
(if (or (<=.f64 b #s(literal -2076918743413931/2596148429267413814265248164610048 binary64)) (not (<=.f64 b #s(literal 4417117661945961/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)))) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) (/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a))))) |
(if (<=.f64 b #s(literal -2076918743413931/2596148429267413814265248164610048 binary64)) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) (if (<=.f64 b #s(literal 4417117661945961/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))))) |
(if (or (<=.f64 b #s(literal -2076918743413931/2596148429267413814265248164610048 binary64)) (not (<=.f64 b #s(literal 4417117661945961/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)))) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 762 | 3574 |
| 1 | 2744 | 3139 |
| 0 | 8334 | 3015 |
| 0 | 52 | 294 |
| 0 | 82 | 288 |
| 1 | 300 | 282 |
| 2 | 2717 | 282 |
| 0 | 8635 | 282 |
| 0 | 291 | 1145 |
| 1 | 905 | 1099 |
| 2 | 3533 | 1055 |
| 0 | 8522 | 1011 |
| 0 | 837 | 3820 |
| 1 | 2995 | 3773 |
| 0 | 8453 | 3589 |
| 0 | 59 | 276 |
| 0 | 87 | 272 |
| 1 | 314 | 246 |
| 2 | 2517 | 246 |
| 0 | 8712 | 246 |
| 0 | 15 | 54 |
| 0 | 26 | 54 |
| 1 | 112 | 50 |
| 2 | 980 | 50 |
| 0 | 8912 | 50 |
| 0 | 58 | 296 |
| 0 | 86 | 294 |
| 1 | 334 | 258 |
| 2 | 2927 | 258 |
| 0 | 8878 | 258 |
| 0 | 704 | 3215 |
| 1 | 2497 | 2776 |
| 0 | 8742 | 2659 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 295 to 72 computations (75.6% saved)
Compiled 632 to 174 computations (72.5% saved)
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