
Time bar (total: 7.2s)
| 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)
| 1.2s | 8 256× | 0 | valid |
ival-mult: 442.0ms (44.9% of total)ival-div: 309.0ms (31.4% of total)ival-sub: 136.0ms (13.8% of total)ival-pi: 78.0ms (7.9% of total)exact: 10.0ms (1% of total)ival-true: 6.0ms (0.6% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 35 | 0 | - | 4 | (3.067510451890559e-178 -1.6481363028302222e+158) | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 16 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 a a)) |
| 6 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
| 0 | 0 | - | 0 | - | (*.f64 a a) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (/.f64 (PI.f64) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) b) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) a) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
| 0 | 0 | - | 0 | - | (PI.f64) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) | n*u | 31 | 0 |
-.f64 | (-.f64 (*.f64 b b) (*.f64 a a)) | nan-rescue | 16 | 0 |
| ↳ | (*.f64 b b) | overflow | 67 | |
| ↳ | (*.f64 a a) | overflow | 61 | |
/.f64 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) | n/o | 6 | 0 |
| ↳ | (*.f64 b b) | overflow | 67 | |
| ↳ | (*.f64 a a) | overflow | 61 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 a a)) | overflow | 112 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 51 | 5 |
| - | 2 | 198 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 51 | 0 | 5 |
| - | 2 | 0 | 198 |
| number | freq |
|---|---|
| 0 | 203 |
| 1 | 53 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 59.0ms | 512× | 0 | valid |
Compiled 179 to 49 computations (72.6% saved)
ival-div: 14.0ms (39.6% of total)ival-mult: 14.0ms (39.6% of total)ival-sub: 5.0ms (14.2% of total)ival-pi: 2.0ms (5.7% of total)exact: 1.0ms (2.8% of total)ival-true: 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 |
|---|---|---|
| ▶ | 79.5% | (*.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 | 0.189785009768442 | (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) | |
| accuracy | 0.904319939569063 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) | |
| accuracy | 3.6445126724718526 | (-.f64 (*.f64 b b) (*.f64 a a)) | |
| accuracy | 7.150606766496512 | (*.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))) |
| 27.0ms | 256× | 0 | valid |
Compiled 79 to 17 computations (78.5% saved)
ival-mult: 8.0ms (43.3% of total)ival-div: 7.0ms (37.9% of total)ival-sub: 2.0ms (10.8% of total)ival-pi: 1.0ms (5.4% of total)ival-true: 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 | |
|---|---|---|---|---|
| 2.0ms | 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)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 372 | 13 | 385 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 373 | 13 | 386 |
| Status | Accuracy | Program |
|---|---|---|
| 78.0% | (/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))) | |
| 87.7% | (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) | |
| 81.7% | (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))) | |
| ▶ | 85.5% | (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) |
| ▶ | 88.7% | (*.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))) |
| 60.0% | #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)) | |
| 57.4% | #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)) | |
| 51.3% | #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)) | |
| ▶ | 48.3% | #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)) |
| 58.4% | #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))) | |
| ▶ | 54.9% | #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))) |
| 51.1% | #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)))) | |
| ▶ | 47.5% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))) |
Compiled 774 to 526 computations (32% 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 a a)) | |
| cost-diff | 0 | (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) | |
| cost-diff | 0 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))) | |
| 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 | 49 | 370 |
| 0 | 77 | 360 |
| 1 | 158 | 354 |
| 2 | 486 | 354 |
| 3 | 1841 | 344 |
| 4 | 6883 | 344 |
| 0 | 8122 | 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 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) |
(/.f64 (PI.f64) (*.f64 a a)) |
(PI.f64) |
(*.f64 a a) |
a |
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
b |
(/.f64 #s(literal -1/2 binary64) a) |
#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 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (/.f64 (PI.f64) (*.f64 a a)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (/.f64 (PI.f64) (*.f64 a a))) |
(/.f64 (PI.f64) (*.f64 a a)) |
(PI.f64) |
(*.f64 a a) |
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 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
b |
(/.f64 #s(literal -1/2 binary64) a) |
#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 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (/.f64 (PI.f64) (*.f64 a a)))) |
(/.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 #s(literal 1/2 binary64) b)) (/.f64 (PI.f64) (*.f64 a a))) |
(/.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 | 0.171875 | (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) | |
| accuracy | 0.17873002930532605 | (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) | |
| accuracy | 0.26171875 | (/.f64 (PI.f64) (-.f64 b a)) | |
| accuracy | 8.741667352466997 | (/.f64 (/.f64 (-.f64 b a) a) b) | |
| accuracy | 0.2421875 | (/.f64 (PI.f64) a) | |
| accuracy | 0.24837875976844204 | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) | |
| accuracy | 6.645814282989641 | (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b) | |
| accuracy | 29.626303511027277 | #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 | 0.015625 | (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) | |
| accuracy | 0.6877454280809352 | (/.f64 (PI.f64) (*.f64 a a)) | |
| accuracy | 3.500897228094006 | (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) | |
| accuracy | 29.626303511027277 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))) | |
| accuracy | 0.0078125 | (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)) | |
| accuracy | 0.6877454280809352 | (/.f64 (PI.f64) (*.f64 a a)) | |
| accuracy | 6.28258724645157 | (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) | |
| accuracy | 24.899623507740596 | #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 | 0.015625 | (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) | |
| accuracy | 0.170253759768442 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) | |
| accuracy | 0.26171875 | (/.f64 (PI.f64) (-.f64 b a)) | |
| accuracy | 7.150606766496512 | (*.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))) |
| 100.0ms | 256× | 0 | valid |
Compiled 332 to 43 computations (87% saved)
ival-mult: 25.0ms (31.4% of total)ival-div: 24.0ms (30.1% of total)ival-sub: 19.0ms (23.8% of total)ival-add: 10.0ms (12.5% of total)ival-pi: 1.0ms (1.3% of total)exact: 1.0ms (1.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 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 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) |
(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) b) (/.f64 #s(literal -1/2 binary64) a)) |
(/.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 (/ a b)) 1/2) 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 a) |
(/ (+ 1/2 (* -1/2 (/ b a))) a) |
(/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a) |
(/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a) |
(* -1/2 (/ (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 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 (/ 1 b)) (* 1/2 (/ 1 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 (/ 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 (/ (* 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 (* -1/2 (/ b 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 (* -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 | |
|---|---|---|---|---|
| 14.0ms | 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) (* a a)) (+ (/ 1/2 b) (/ -1/2 a))) (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 b) (/ -1/2 a)) (/ (PI) a)) |
| 10.0ms | 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) (* a a)) (+ (/ 1/2 b) (/ -1/2 a))) (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 b) (/ -1/2 a)) (/ (PI) a)) |
| 9.0ms | 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) (* a a)) (+ (/ 1/2 b) (/ -1/2 a))) (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 b) (/ -1/2 a)) (/ (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) (* a a)) (+ (/ 1/2 b) (/ -1/2 a))) (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 b) (/ -1/2 a)) (/ (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) (* a a)) (+ (/ 1/2 b) (/ -1/2 a))) (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 b) (/ -1/2 a)) (/ (PI) a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 835 | 3776 |
| 1 | 2986 | 3729 |
| 0 | 8432 | 3547 |
| 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 (/ a b)) 1/2) 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 a) |
(/ (+ 1/2 (* -1/2 (/ b a))) a) |
(/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a) |
(/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a) |
(* -1/2 (/ (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 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 (/ 1 b)) (* 1/2 (/ 1 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 (/ 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 (/ (* 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 (* -1/2 (/ b 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 (* -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) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64)))) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64))) a (*.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 a 2) b))) |
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(/.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 | 49 | 289 |
| 0 | 77 | 283 |
| 1 | 290 | 277 |
| 2 | 2674 | 277 |
| 0 | 8733 | 277 |
| 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 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) |
(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) b) (/.f64 #s(literal -1/2 binary64) a)) |
(/.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 b a) (/.f64 (PI.f64) (-.f64 b a))) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) |
(/.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))) |
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (/.f64 (PI.f64) (-.f64 b a))) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) b)) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) b))) (neg.f64 (-.f64 b a))) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b)) (*.f64 (neg.f64 (-.f64 b a)) (*.f64 (+.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 (/.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 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (/.f64 (/.f64 (-.f64 b a) a) b)) (-.f64 b a)) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (-.f64 b a)))) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (-.f64 b a)))) (+.f64 b a)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (-.f64 b a)))) (*.f64 (+.f64 b a) #s(literal 2 binary64))) |
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(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) b) a) |
(/.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 (neg.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)))) (neg.f64 (-.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 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (-.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 (neg.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a))) (neg.f64 (*.f64 b a))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 b) (*.f64 a #s(literal -1/2 binary64))) (*.f64 a (neg.f64 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) b (*.f64 (neg.f64 a) #s(literal 1/2 binary64))) (*.f64 (neg.f64 a) b)) |
(/.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) (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) (neg.f64 a) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (neg.f64 a))) |
(/.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 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64))) (+.f64 (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 2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 b a))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (-.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 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (*.f64 b a)) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (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 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (-.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 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (-.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 b a)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 b a))) |
(+.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 (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 35 091 to 4 086 computations (88.4% saved)
20 alts after pruning (19 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 994 | 16 | 1 010 |
| Fresh | 5 | 3 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 003 | 20 | 1 023 |
| Status | Accuracy | Program |
|---|---|---|
| 84.1% | (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) b)) (-.f64 b a)) | |
| 81.0% | (/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (*.f64 (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) b) (-.f64 b a))) | |
| ▶ | 99.6% | (/.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))) |
| 87.7% | (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 b a))) | |
| ▶ | 98.5% | (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) (-.f64 b a))) |
| 81.7% | (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))))) | |
| 98.6% | (*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (/.f64 (PI.f64) (-.f64 b a))) | |
| 66.5% | (*.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))) | |
| 65.5% | (*.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))) | |
| 60.0% | #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)) | |
| 51.3% | #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)) | |
| 55.8% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 b a) a))) | |
| ▶ | 48.6% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 a a)))) |
| 60.9% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a)) | |
| ▶ | 60.9% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a))) |
| 54.8% | #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))) | |
| 58.4% | #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))) | |
| ✓ | 54.9% | #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))) |
| 54.8% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))) | |
| ▶ | 58.1% | #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 1 081 to 734 computations (32.1% 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 | 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))) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 a a))) | |
| cost-diff | 0 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 a a)))) | |
| cost-diff | 1 | (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) | |
| cost-diff | 2 | (*.f64 (*.f64 b a) (*.f64 a a)) | |
| cost-diff | 0 | (/.f64 (PI.f64) a) | |
| cost-diff | 0 | (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a)) | |
| cost-diff | 0 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.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 | (neg.f64 (-.f64 b a)) | |
| cost-diff | 0 | (/.f64 (neg.f64 (-.f64 b a)) (*.f64 b a)) | |
| cost-diff | 1 | (/.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))) | |
| cost-diff | 8 | (*.f64 (/.f64 (neg.f64 (-.f64 b a)) (*.f64 b a)) (/.f64 (PI.f64) (-.f64 b a))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 334 |
| 0 | 84 | 333 |
| 1 | 203 | 319 |
| 2 | 699 | 293 |
| 3 | 3183 | 269 |
| 4 | 6257 | 269 |
| 0 | 8850 | 269 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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))) |
(*.f64 (/.f64 (neg.f64 (-.f64 b a)) (*.f64 b a)) (/.f64 (PI.f64) (-.f64 b a))) |
(/.f64 (neg.f64 (-.f64 b a)) (*.f64 b a)) |
(neg.f64 (-.f64 b a)) |
(-.f64 b a) |
b |
a |
(*.f64 b a) |
(/.f64 (PI.f64) (-.f64 b a)) |
(PI.f64) |
(*.f64 #s(literal -2 binary64) (+.f64 b a)) |
#s(literal -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 (*.f64 b b) a) |
(*.f64 b b) |
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) a) #s(literal 1/2 binary64)) (*.f64 b a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a)) |
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) a) |
(PI.f64) |
a |
#s(literal 1/2 binary64) |
(*.f64 b a) |
b |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 a a)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 a a))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) |
(fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) |
#s(literal -1/2 binary64) |
b |
(*.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(PI.f64) |
(*.f64 (*.f64 b a) (*.f64 a a)) |
(*.f64 b a) |
(*.f64 a a) |
(/.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) |
| Outputs |
|---|
(/.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))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b) (/.f64 (PI.f64) a)) |
(*.f64 (/.f64 (neg.f64 (-.f64 b a)) (*.f64 b a)) (/.f64 (PI.f64) (-.f64 b a))) |
(/.f64 (/.f64 (neg.f64 (PI.f64)) b) a) |
(/.f64 (neg.f64 (-.f64 b a)) (*.f64 b a)) |
(/.f64 (/.f64 (-.f64 b a) a) (neg.f64 b)) |
(neg.f64 (-.f64 b a)) |
(-.f64 b a) |
b |
a |
(*.f64 b a) |
(*.f64 a b) |
(/.f64 (PI.f64) (-.f64 b a)) |
(PI.f64) |
(*.f64 #s(literal -2 binary64) (+.f64 b a)) |
(*.f64 (+.f64 a b) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(+.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 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) a) (PI.f64))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) a) (PI.f64)) |
(/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) b) |
(PI.f64) |
(*.f64 (*.f64 b b) a) |
(*.f64 b b) |
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) a) #s(literal 1/2 binary64)) (*.f64 b a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) a)) |
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) a) |
(PI.f64) |
a |
#s(literal 1/2 binary64) |
(*.f64 b a) |
(*.f64 a b) |
b |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 a a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 b a) b)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 b a) b))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (PI.f64)) |
(fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 b a)) |
#s(literal -1/2 binary64) |
b |
(*.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(PI.f64) |
(*.f64 (*.f64 b a) (*.f64 a a)) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) b) |
(*.f64 b a) |
(*.f64 a b) |
(*.f64 a a) |
(/.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)) b) (/.f64 (PI.f64) a)) |
(*.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 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) |
(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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.14453125 | (*.f64 (*.f64 b a) (-.f64 b a)) | |
| accuracy | 0.29296875 | (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) | |
| accuracy | 0.35384750976844204 | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) | |
| accuracy | 0.8300203992232876 | (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) (-.f64 b a))) | |
| accuracy | 0.2578125 | (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) | |
| accuracy | 1.0645208074766903 | (*.f64 (*.f64 b a) (*.f64 a a)) | |
| accuracy | 7.262824412033978 | (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 a a))) | |
| accuracy | 29.626303511027277 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 a a)))) | |
| accuracy | 0.0 | (PI.f64) | |
| accuracy | 0.171875 | (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a)) | |
| accuracy | 0.2421875 | (/.f64 (PI.f64) a) | |
| accuracy | 24.899623507740596 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a))) | |
| accuracy | 0.2064646424702857 | (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) | |
| accuracy | 0.7132252359160929 | (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) | |
| accuracy | 7.824144051090258 | (*.f64 (*.f64 b b) a) | |
| accuracy | 22.76845142265971 | #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 | 0.12890625 | (/.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))) | |
| accuracy | 0.24675751953688405 | (*.f64 (/.f64 (neg.f64 (-.f64 b a)) (*.f64 b a)) (/.f64 (PI.f64) (-.f64 b a))) | |
| accuracy | 0.26171875 | (/.f64 (PI.f64) (-.f64 b a)) | |
| accuracy | 14.155313658659558 | (/.f64 (neg.f64 (-.f64 b a)) (*.f64 b a)) |
| 136.0ms | 256× | 0 | valid |
Compiled 302 to 51 computations (83.1% saved)
ival-mult: 81.0ms (69.7% of total)ival-div: 22.0ms (18.9% of total)ival-add: 7.0ms (6% of total)ival-sub: 4.0ms (3.4% of total)ival-pi: 1.0ms (0.9% of total)exact: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (neg.f64 (-.f64 b a)) (*.f64 b a)) (/.f64 (PI.f64) (-.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))) |
(/.f64 (neg.f64 (-.f64 b a)) (*.f64 b a)) |
(neg.f64 (-.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) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a)) |
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) a) |
(*.f64 (*.f64 b a) (*.f64 a a)) |
(fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 a a)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 a a))) |
(/.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))) |
(/.f64 (PI.f64) (-.f64 b a)) |
(*.f64 (*.f64 b b) a) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) |
(*.f64 (*.f64 b a) (-.f64 b a)) |
| Outputs |
|---|
(* -1 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (* a (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (* a (+ (/ (PI) (pow b 4)) (/ (* (+ b (* -1 b)) (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (pow b 2)))))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (/ (PI) (pow b 4)) (/ (* (+ b (* -1 b)) (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))))) (* 1/2 (+ (/ (PI) (pow b 4)) (/ (* (+ b (* -1 b)) (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (pow b 2))))))))) a) |
(/ -1 a) |
(/ (- (/ a b) 1) a) |
(* -1 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) |
(/ (PI) (* a (pow b 2))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) a)) |
(/ (PI) a) |
(* (pow a 3) b) |
(* -1/2 b) |
(+ (* -1/2 b) (* 1/2 a)) |
(* -1/2 (/ (PI) (pow a 3))) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3)) |
(* 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)))))))) |
(/ (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)) |
(* a (pow b 2)) |
(* -1/2 (* b (PI))) |
(+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) |
(* a (+ (* -1 (* a b)) (pow b 2))) |
(/ (+ (* -1/2 (/ (- (PI) (/ (* (PI) (+ b (* -1 b))) b)) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (- (PI) (/ (* (PI) (+ b (* -1 b))) b)) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (+ (* -1 (* (+ b (* -1 b)) (- (PI) (/ (* (PI) (+ b (* -1 b))) b)))) (* b (PI))) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (- (PI) (/ (* (PI) (+ b (* -1 b))) b)) a)) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (+ (* -1 (* (+ b (* -1 b)) (- (PI) (/ (* (PI) (+ b (* -1 b))) b)))) (* b (PI))) (pow a 2))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (/ (* (PI) (+ b (* -1 b))) b)))) (* (+ b (* -1 b)) (+ (* -1 (* (+ b (* -1 b)) (- (PI) (/ (* (PI) (+ b (* -1 b))) b)))) (* b (PI))))) (pow a 3)))))) (pow a 2)) |
(/ 1 b) |
(- (/ 1 b) (/ 1 a)) |
a |
(* a (+ 1 (* -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) 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 a) |
(* a (+ 1/2 (* -1/2 (/ b a)))) |
(* -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 (/ (* 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 (/ (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 (* a (PI))) |
(* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))) |
(* -1 (* (pow a 2) b)) |
(* (pow a 2) (+ (* -1 b) (/ (pow b 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 (* a (- (/ 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 (* a (- (* 1/2 (/ b a)) 1/2))) |
(+ (* -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 (/ (+ (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 (* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))) |
(/ (+ (* -1/2 (* b (- (/ (PI) (pow a 3)) (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (- (/ (PI) (pow a 3)) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (* 1/2 (* b (+ (* -1 (/ (* (+ a (* -1 a)) (- (/ (PI) (pow a 3)) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (PI) (pow a 4)))))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (- (/ (PI) (pow a 3)) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (* b (+ (* 1/2 (* b (+ (* -1 (/ (- (/ (PI) (pow a 3)) (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (* (+ a (* -1 a)) (- (/ (PI) (pow a 3)) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (PI) (pow a 4)))) (pow a 2))))) (* 1/2 (+ (* -1 (/ (* (+ a (* -1 a)) (- (/ (PI) (pow a 3)) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (PI) (pow a 4))))))))) b) |
(/ (+ 1 (* -1 (/ b a))) b) |
(+ a (* -1 b)) |
(/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b) |
(/ (+ (* -1/2 (/ (* 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 (/ (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))))) |
(* b (+ (* -1 (pow a 2)) (* a b))) |
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (+ (* a (PI)) (* (+ a (* -1 a)) (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 2))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))) b)) (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* a (PI)) (* (+ a (* -1 a)) (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))))))) (* -1 (* (pow a 2) (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a)))))) (pow b 3))) (* 1/2 (/ (+ (* a (PI)) (* (+ a (* -1 a)) (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 2)))))) (pow b 2)) |
(* b (- (/ a b) 1)) |
(/ (+ (* 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) 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)) |
(* b (- (* 1/2 (/ a b)) 1/2)) |
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) 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)))) |
(/ (+ (* -1/2 (/ (* 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) |
(/ (+ (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) |
(* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))) |
(* (pow b 2) (+ a (* -1 (/ (pow a 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 (* b (+ 1 (* -1 (/ a 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 (* b (+ 1/2 (* -1/2 (/ a b))))) |
(+ (* -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 (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)) |
(* -1 (* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | a | @ | -inf | ((* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/ (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (* -2 (+ b a))) (/ (neg (- b a)) (* b a)) (neg (- b a)) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ (PI) a) 1/2) (* b a)) (* (/ (PI) a) 1/2) (/ (PI) a) (* (* b a) (* a a)) (+ (* -1/2 b) (* 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (+ (* -1/2 b) (* 1/2 a)) (PI)) (* (* b a) (* a a))) (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (- b a) (* (PI) (/ 1/2 (+ b a))) (/ (PI) (- b a)) (* (* b b) a) (* (+ (* -1/2 b) (* 1/2 a)) (PI)) (* (* b a) (- b a))) |
| 7.0ms | a | @ | 0 | ((* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/ (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (* -2 (+ b a))) (/ (neg (- b a)) (* b a)) (neg (- b a)) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ (PI) a) 1/2) (* b a)) (* (/ (PI) a) 1/2) (/ (PI) a) (* (* b a) (* a a)) (+ (* -1/2 b) (* 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (+ (* -1/2 b) (* 1/2 a)) (PI)) (* (* b a) (* a a))) (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (- b a) (* (PI) (/ 1/2 (+ b a))) (/ (PI) (- b a)) (* (* b b) a) (* (+ (* -1/2 b) (* 1/2 a)) (PI)) (* (* b a) (- b a))) |
| 7.0ms | a | @ | inf | ((* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/ (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (* -2 (+ b a))) (/ (neg (- b a)) (* b a)) (neg (- b a)) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ (PI) a) 1/2) (* b a)) (* (/ (PI) a) 1/2) (/ (PI) a) (* (* b a) (* a a)) (+ (* -1/2 b) (* 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (+ (* -1/2 b) (* 1/2 a)) (PI)) (* (* b a) (* a a))) (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (- b a) (* (PI) (/ 1/2 (+ b a))) (/ (PI) (- b a)) (* (* b b) a) (* (+ (* -1/2 b) (* 1/2 a)) (PI)) (* (* b a) (- b a))) |
| 7.0ms | b | @ | -inf | ((* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/ (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (* -2 (+ b a))) (/ (neg (- b a)) (* b a)) (neg (- b a)) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ (PI) a) 1/2) (* b a)) (* (/ (PI) a) 1/2) (/ (PI) a) (* (* b a) (* a a)) (+ (* -1/2 b) (* 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (+ (* -1/2 b) (* 1/2 a)) (PI)) (* (* b a) (* a a))) (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (- b a) (* (PI) (/ 1/2 (+ b a))) (/ (PI) (- b a)) (* (* b b) a) (* (+ (* -1/2 b) (* 1/2 a)) (PI)) (* (* b a) (- b a))) |
| 7.0ms | b | @ | inf | ((* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/ (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (* -2 (+ b a))) (/ (neg (- b a)) (* b a)) (neg (- b a)) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ (PI) a) 1/2) (* b a)) (* (/ (PI) a) 1/2) (/ (PI) a) (* (* b a) (* a a)) (+ (* -1/2 b) (* 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (+ (* -1/2 b) (* 1/2 a)) (PI)) (* (* b a) (* a a))) (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (- b a) (* (PI) (/ 1/2 (+ b a))) (/ (PI) (- b a)) (* (* b b) a) (* (+ (* -1/2 b) (* 1/2 a)) (PI)) (* (* b a) (- b a))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 793 | 4068 |
| 1 | 2943 | 3506 |
| 0 | 8378 | 3352 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (* a (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (* a (+ (/ (PI) (pow b 4)) (/ (* (+ b (* -1 b)) (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (pow b 2)))))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (/ (PI) (pow b 4)) (/ (* (+ b (* -1 b)) (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))))) (* 1/2 (+ (/ (PI) (pow b 4)) (/ (* (+ b (* -1 b)) (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (pow b 2))))))))) a) |
(/ -1 a) |
(/ (- (/ a b) 1) a) |
(* -1 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) |
(/ (PI) (* a (pow b 2))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) a)) |
(/ (PI) a) |
(* (pow a 3) b) |
(* -1/2 b) |
(+ (* -1/2 b) (* 1/2 a)) |
(* -1/2 (/ (PI) (pow a 3))) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3)) |
(* 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)))))))) |
(/ (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)) |
(* a (pow b 2)) |
(* -1/2 (* b (PI))) |
(+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) |
(* a (+ (* -1 (* a b)) (pow b 2))) |
(/ (+ (* -1/2 (/ (- (PI) (/ (* (PI) (+ b (* -1 b))) b)) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (- (PI) (/ (* (PI) (+ b (* -1 b))) b)) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (+ (* -1 (* (+ b (* -1 b)) (- (PI) (/ (* (PI) (+ b (* -1 b))) b)))) (* b (PI))) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (- (PI) (/ (* (PI) (+ b (* -1 b))) b)) a)) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (+ (* -1 (* (+ b (* -1 b)) (- (PI) (/ (* (PI) (+ b (* -1 b))) b)))) (* b (PI))) (pow a 2))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (/ (* (PI) (+ b (* -1 b))) b)))) (* (+ b (* -1 b)) (+ (* -1 (* (+ b (* -1 b)) (- (PI) (/ (* (PI) (+ b (* -1 b))) b)))) (* b (PI))))) (pow a 3)))))) (pow a 2)) |
(/ 1 b) |
(- (/ 1 b) (/ 1 a)) |
a |
(* a (+ 1 (* -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) 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 a) |
(* a (+ 1/2 (* -1/2 (/ b a)))) |
(* -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 (/ (* 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 (/ (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 (* a (PI))) |
(* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))) |
(* -1 (* (pow a 2) b)) |
(* (pow a 2) (+ (* -1 b) (/ (pow b 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 (* a (- (/ 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 (* a (- (* 1/2 (/ b a)) 1/2))) |
(+ (* -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 (/ (+ (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 (* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))) |
(/ (+ (* -1/2 (* b (- (/ (PI) (pow a 3)) (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (- (/ (PI) (pow a 3)) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (* 1/2 (* b (+ (* -1 (/ (* (+ a (* -1 a)) (- (/ (PI) (pow a 3)) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (PI) (pow a 4)))))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (- (/ (PI) (pow a 3)) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (* b (+ (* 1/2 (* b (+ (* -1 (/ (- (/ (PI) (pow a 3)) (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (* (+ a (* -1 a)) (- (/ (PI) (pow a 3)) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (PI) (pow a 4)))) (pow a 2))))) (* 1/2 (+ (* -1 (/ (* (+ a (* -1 a)) (- (/ (PI) (pow a 3)) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (PI) (pow a 4))))))))) b) |
(/ (+ 1 (* -1 (/ b a))) b) |
(+ a (* -1 b)) |
(/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b) |
(/ (+ (* -1/2 (/ (* 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 (/ (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))))) |
(* b (+ (* -1 (pow a 2)) (* a b))) |
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (+ (* a (PI)) (* (+ a (* -1 a)) (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 2))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))) b)) (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* a (PI)) (* (+ a (* -1 a)) (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))))))) (* -1 (* (pow a 2) (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a)))))) (pow b 3))) (* 1/2 (/ (+ (* a (PI)) (* (+ a (* -1 a)) (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 2)))))) (pow b 2)) |
(* b (- (/ a b) 1)) |
(/ (+ (* 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) 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)) |
(* b (- (* 1/2 (/ a b)) 1/2)) |
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) 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)))) |
(/ (+ (* -1/2 (/ (* 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) |
(/ (+ (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) |
(* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))) |
(* (pow b 2) (+ a (* -1 (/ (pow a 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 (* b (+ 1 (* -1 (/ a 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 (* b (+ 1/2 (* -1/2 (/ a b))))) |
(+ (* -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 (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)) |
(* -1 (* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))) |
| Outputs |
|---|
(* -1 (/ (PI) (* a b))) |
(/.f64 (/.f64 (neg.f64 (PI.f64)) a) b) |
(* 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 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.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 (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (* a (+ (/ (PI) (pow b 4)) (/ (* (+ b (* -1 b)) (- (/ (PI) (pow b 3)) (* -1 (/ (* (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 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (/.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 (fma.f64 (/.f64 (+.f64 (/.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))))) b) (/.f64 #s(literal 0 binary64) b) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) a))) a)) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (/ (PI) (pow b 4)) (/ (* (+ b (* -1 b)) (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))))) (* 1/2 (+ (/ (PI) (pow b 4)) (/ (* (+ b (* -1 b)) (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (pow b 2))))))))) a) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.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))))) b) (/.f64 #s(literal 0 binary64) b) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 0 binary64) (+.f64 (/.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 (/.f64 (+.f64 (/.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))))) b) (/.f64 #s(literal 0 binary64) b) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))))) a (*.f64 (+.f64 (/.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 a) |
(/.f64 #s(literal -1 binary64) a) |
(/ (- (/ a b) 1) a) |
(/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) a) |
(* -1 b) |
(neg.f64 b) |
(- a b) |
(-.f64 a b) |
(/ (+ (* 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 (neg.f64 (+.f64 (/.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) (-.f64 (*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.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))))) (neg.f64 (*.f64 b b))) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) a) (neg.f64 (+.f64 (/.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 (/.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 #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 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (*.f64 b b))) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 0 binary64) (neg.f64 (+.f64 (/.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 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (*.f64 b b))) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))))) a (*.f64 (neg.f64 (+.f64 (/.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 (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) (-.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 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) |
(/.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) (* (pow a 2) b))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (PI) a)) |
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) |
(/ (PI) a) |
(/.f64 (PI.f64) a) |
(* (pow a 3) b) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) b) |
(* -1/2 b) |
(*.f64 #s(literal -1/2 binary64) b) |
(+ (* -1/2 b) (* 1/2 a)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 b 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 (*.f64 (PI.f64) a) b))) (pow.f64 a #s(literal 3 binary64))) |
(* 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))) |
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(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) (-.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 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 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2))) |
(fma.f64 a (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) b)) |
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b)) |
(fma.f64 (fma.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b)) |
(+ (* a (- (* a (- (/ (* a (PI)) (pow b 4)) (* -1 (/ (PI) (pow b 3))))) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b)) |
(fma.f64 (fma.f64 (fma.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b)) |
(* a (pow b 2)) |
(*.f64 (*.f64 b b) a) |
(* -1/2 (* b (PI))) |
(*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64)) |
(+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) |
(*.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (-.f64 b a))) |
(* a (+ (* -1 (* a b)) (pow b 2))) |
(*.f64 (*.f64 b (-.f64 b a)) a) |
(/ (+ (* -1/2 (/ (- (PI) (/ (* (PI) (+ b (* -1 b))) b)) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) a) (/.f64 (PI.f64) b))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (- (PI) (/ (* (PI) (+ b (* -1 b))) b)) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (+ (* -1 (* (+ b (* -1 b)) (- (PI) (/ (* (PI) (+ b (* -1 b))) b)))) (* b (PI))) (pow a 2))))) (pow a 2)) |
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(/ (+ (* -1/2 (/ (- (PI) (/ (* (PI) (+ b (* -1 b))) b)) a)) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (+ (* -1 (* (+ b (* -1 b)) (- (PI) (/ (* (PI) (+ b (* -1 b))) b)))) (* b (PI))) (pow a 2))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (/ (* (PI) (+ b (* -1 b))) b)))) (* (+ b (* -1 b)) (+ (* -1 (* (+ b (* -1 b)) (- (PI) (/ (* (PI) (+ b (* -1 b))) b)))) (* b (PI))))) (pow a 3)))))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 b b)) (-.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) (*.f64 (fma.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) #s(literal 0 binary64) (*.f64 (PI.f64) b)) #s(literal 0 binary64))) (pow.f64 a #s(literal 3 binary64))) (/.f64 (fma.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) #s(literal 0 binary64) (*.f64 (PI.f64) b)) (*.f64 a a))))) (*.f64 a a)) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(- (/ 1 b) (/ 1 a)) |
(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
a |
(* a (+ 1 (* -1 (/ b a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) |
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) a) (/.f64 (PI.f64) b))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (neg.f64 (fma.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) #s(literal 0 binary64) (*.f64 (PI.f64) b))) a) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) a) (/.f64 (PI.f64) b)))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2)) |
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(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 b (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (PI.f64) b)))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (*.f64 (*.f64 b b) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 b (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (PI.f64) b)))) (*.f64 a a)) |
(* 1/2 a) |
(*.f64 #s(literal 1/2 binary64) a) |
(* a (+ 1/2 (* -1/2 (/ b a)))) |
(*.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) a) |
(* -1/2 (PI)) |
(*.f64 #s(literal -1/2 binary64) (PI.f64)) |
(+ (* -1/2 (PI)) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (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)) (+ (* -1/2 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (PI)))) a)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) b)) b) a) (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) b)) 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))))) |
(fma.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) b)) a) (/.f64 b a))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a)) b (*.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) b))))) |
(* -1 a) |
(neg.f64 a) |
(* a (- (/ b a) 1)) |
(*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 b (/.f64 (PI.f64) a)) (PI.f64))) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a) |
(/.f64 (fma.f64 (*.f64 b (/.f64 (PI.f64) a)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 b b) a) (/.f64 (PI.f64) a) (PI.f64)))) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 b (/.f64 (PI.f64) a) (*.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 b b) a) (/.f64 (PI.f64) a) (PI.f64)))) a) |
(* -1 (/ (PI) a)) |
(/.f64 (neg.f64 (PI.f64)) a) |
(/ (+ (* -1 (PI)) (* -1 (/ (* b (PI)) a))) a) |
(/.f64 (fma.f64 b (/.f64 (PI.f64) a) (PI.f64)) (neg.f64 a)) |
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 2) (PI)) (pow a 2)))) (/ (* b (PI)) a)) a) |
(/.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 b b) a) (/.f64 (PI.f64) a) (PI.f64))) (*.f64 b (/.f64 (PI.f64) a))) a) |
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (PI)) (pow a 2)))) a) |
(/.f64 (-.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (PI.f64))) (fma.f64 (/.f64 (*.f64 b b) a) (/.f64 (PI.f64) a) (*.f64 b (/.f64 (PI.f64) a)))) a) |
(* 1/2 (* a (PI))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) a) (PI.f64)) |
(* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 b (/.f64 (PI.f64) a)) (PI.f64))) a) |
(* -1 (* (pow a 2) b)) |
(*.f64 (neg.f64 b) (*.f64 a a)) |
(* (pow a 2) (+ (* -1 b) (/ (pow b 2) a))) |
(*.f64 (fma.f64 #s(literal -1 binary64) b (/.f64 (*.f64 b b) a)) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -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 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 b (/.f64 (PI.f64) a)) (PI.f64))) (neg.f64 a))) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (*.f64 b b) (PI.f64)) a) (*.f64 (PI.f64) b))) (neg.f64 a))) (neg.f64 a))) (*.f64 a a)) |
(* -1 (* a (- (/ b a) 1))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 b a) #s(literal 1 binary64))) |
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) a) (/.f64 (PI.f64) b))) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b) (/.f64 (fma.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) #s(literal 0 binary64) (*.f64 (neg.f64 (PI.f64)) b)) a)))) (neg.f64 a))) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) #s(literal 0 binary64) (*.f64 (neg.f64 (PI.f64)) b)) (/.f64 (fma.f64 (fma.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) #s(literal 0 binary64) (*.f64 (neg.f64 (PI.f64)) b)) #s(literal 0 binary64) (*.f64 (neg.f64 (*.f64 b b)) (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))))) a))) (neg.f64 a))) (neg.f64 a))) (*.f64 a a)) |
(* -1 (* a (- (* 1/2 (/ b a)) 1/2))) |
(*.f64 (neg.f64 a) (-.f64 (*.f64 (/.f64 b a) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(+ (* -1/2 (PI)) (* -1/2 (/ (- (* -1 (* b (PI))) (* b (PI))) a))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) b) #s(literal -2 binary64)) a) (PI.f64))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* b (- (* -1 (* b (PI))) (* b (PI)))) a)) (* 1/2 (- (* -1 (* b (PI))) (* b (PI))))) a)) (* -1/2 (PI))) |
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(/.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)) |
(* b (- (* 1/2 (/ a b)) 1/2)) |
(*.f64 (-.f64 (*.f64 (/.f64 a b) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) 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)))) |
(+ (* 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) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) a) 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 (*.f64 (PI.f64) a) b) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b 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 a a) (/.f64 (PI.f64) (*.f64 b b)) (PI.f64)))) 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 (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 (PI.f64) b) (fma.f64 a (/.f64 (PI.f64) b) (PI.f64))) 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) |
(* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) a) b))) b) |
(* (pow b 2) (+ a (* -1 (/ (pow a 2) b)))) |
(*.f64 (-.f64 a (/.f64 (*.f64 a a) b)) (*.f64 b b)) |
(/ (+ (* -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 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) a) 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 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.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 (* b (+ 1 (* -1 (/ a b))))) |
(*.f64 (neg.f64 b) (-.f64 #s(literal 1 binary64) (/.f64 a 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) (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))) (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 (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 (fma.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64) (*.f64 (PI.f64) a)) #s(literal 0 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) (*.f64 (neg.f64 a) a))) 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 (* -1/2 (/ a b))))) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* -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 a a) (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) b)))) (neg.f64 b))) (neg.f64 b))) |
(* -1 (* b (- (/ a b) 1))) |
(*.f64 (neg.f64 b) (-.f64 (/.f64 a b) #s(literal 1 binary64))) |
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) a) 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 (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)) |
(* -1 (* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))) |
(*.f64 (neg.f64 b) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) a) b) (PI.f64)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 274 |
| 0 | 84 | 273 |
| 1 | 324 | 235 |
| 2 | 2873 | 217 |
| 0 | 8164 | 217 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (neg.f64 (-.f64 b a)) (*.f64 b a)) (/.f64 (PI.f64) (-.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))) |
(/.f64 (neg.f64 (-.f64 b a)) (*.f64 b a)) |
(neg.f64 (-.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) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a)) |
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) a) |
(*.f64 (*.f64 b a) (*.f64 a a)) |
(fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 a a)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 a a))) |
(/.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))) |
(/.f64 (PI.f64) (-.f64 b a)) |
(*.f64 (*.f64 b b) a) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) |
(*.f64 (*.f64 b a) (-.f64 b a)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (neg.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 (PI.f64) (-.f64 b a)) (*.f64 (neg.f64 a) b)) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b)) |
(*.f64 (/.f64 (neg.f64 (-.f64 b a)) a) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) b)) |
(*.f64 (/.f64 (neg.f64 (-.f64 b a)) (-.f64 b a)) (/.f64 (/.f64 (PI.f64) a) b)) |
(*.f64 (/.f64 (-.f64 b a) (neg.f64 b)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) a)) |
(*.f64 (/.f64 (-.f64 b a) (neg.f64 b)) (/.f64 (PI.f64) (*.f64 (-.f64 b a) a))) |
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (neg.f64 (-.f64 b a)) (*.f64 a b))) |
(*.f64 (/.f64 (neg.f64 (-.f64 b a)) (*.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (neg.f64 (-.f64 b a)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (*.f64 a b))) |
(*.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) (*.f64 (*.f64 (-.f64 b a) b) a))) |
(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (neg.f64 (-.f64 b a))) a) b) |
(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (neg.f64 (-.f64 b a))) b) a) |
(/.f64 (/.f64 (neg.f64 (*.f64 (PI.f64) (-.f64 b a))) b) (*.f64 (-.f64 b a) a)) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (neg.f64 (-.f64 b a)) (*.f64 a b))) (neg.f64 (-.f64 b a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (-.f64 b a) (neg.f64 b))) a) |
(/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 b a)) (*.f64 (neg.f64 a) b)) |
(/.f64 (*.f64 (/.f64 (neg.f64 (-.f64 b a)) (*.f64 a b)) (neg.f64 (PI.f64))) (neg.f64 (-.f64 b a))) |
(/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (-.f64 b a))) (*.f64 (neg.f64 a) b)) |
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (neg.f64 (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (neg.f64 (-.f64 b a)))) (*.f64 (neg.f64 a) b)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (neg.f64 a) b))) (neg.f64 (-.f64 b a))) |
(/.f64 (*.f64 (/.f64 (-.f64 b a) (neg.f64 b)) (/.f64 (PI.f64) (-.f64 b a))) a) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (-.f64 b a)) (*.f64 (neg.f64 (-.f64 b a)) (*.f64 (neg.f64 a) b))) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (-.f64 b a) (neg.f64 b))) (*.f64 (neg.f64 (-.f64 b a)) a)) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (neg.f64 (-.f64 b a))) (*.f64 (*.f64 (neg.f64 a) b) (-.f64 b a))) |
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) (neg.f64 b))) (*.f64 (-.f64 b a) a)) |
(/.f64 (*.f64 (/.f64 (-.f64 b a) (neg.f64 b)) (neg.f64 (PI.f64))) (*.f64 a (neg.f64 (-.f64 b a)))) |
(/.f64 (*.f64 (/.f64 (-.f64 b a) (neg.f64 b)) (PI.f64)) (*.f64 (-.f64 b a) a)) |
(/.f64 (*.f64 (-.f64 b a) (neg.f64 (PI.f64))) (*.f64 (*.f64 (neg.f64 a) b) (neg.f64 (-.f64 b a)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 b a)) (neg.f64 (PI.f64))) (*.f64 (*.f64 (neg.f64 a) b) (-.f64 b a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (neg.f64 (-.f64 b a))) (*.f64 a b)) |
(/.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (neg.f64 a) b)) (-.f64 b a)) |
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (*.f64 (neg.f64 a) b) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (PI.f64) (-.f64 b a))) (*.f64 (*.f64 (-.f64 b a) b) a)) |
(neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (-.f64 b a)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (-.f64 b a))) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b)) |
(*.f64 (/.f64 (/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (-.f64 b a))) #s(literal 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 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (-.f64 b a))) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) |
(*.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) a) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a))) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) |
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(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (+.f64 a b))) |
(/.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (*.f64 (+.f64 a b) #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 (+.f64 a b) #s(literal -2 binary64))) |
(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal -1 binary64) (log.f64 (PI.f64)))) |
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal -1 binary64)))) |
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))) |
(*.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 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (+.f64 a b)) |
(*.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 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (PI.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))) |
(*.f64 (*.f64 (neg.f64 a) b) (neg.f64 b)) |
(*.f64 (neg.f64 b) (*.f64 (neg.f64 a) b)) |
(*.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 a) b))) |
(fabs.f64 (*.f64 (*.f64 b b) 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 #s(literal -1/2 binary64) (-.f64 b a)) (PI.f64)) |
(*.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (-.f64 b a))) |
(/.f64 (*.f64 (PI.f64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) a))) |
(/.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) b))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/4 binary64) (*.f64 a a))) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) a))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64))) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) b))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (PI.f64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (PI.f64) (*.f64 (*.f64 #s(literal -1/2 binary64) b) (PI.f64))) |
(fma.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) b) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) a) (*.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) b))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) b) (PI.f64)) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (PI.f64))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 (*.f64 #s(literal -1/2 binary64) b) (PI.f64))) |
(+.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) b)) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) a))) |
(+.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) a)) (*.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) b))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal -1/2 binary64)) (-.f64 b 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 a b) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b)) |
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (+.f64 a b)) |
Compiled 29 870 to 3 443 computations (88.5% saved)
19 alts after pruning (17 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 879 | 13 | 892 |
| Fresh | 10 | 4 | 14 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 893 | 19 | 912 |
| Status | Accuracy | Program |
|---|---|---|
| 87.7% | (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 b a))) | |
| 99.6% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b)) | |
| ▶ | 68.7% | (/.f64 (*.f64 #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) (/.f64 (PI.f64) (-.f64 b a))) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
| 82.4% | (/.f64 (neg.f64 (*.f64 (PI.f64) (-.f64 b a))) (*.f64 (*.f64 (*.f64 (-.f64 b a) b) a) (*.f64 (+.f64 a b) #s(literal -2 binary64)))) | |
| ▶ | 99.7% | (/.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
| 87.9% | (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) b) (/.f64 (-.f64 b a) (*.f64 (-.f64 b a) a))) | |
| 60.9% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) b) a)) | |
| 60.8% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) a) #s(literal 1/2 binary64)) (*.f64 b a))) | |
| ✓ | 60.9% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a))) |
| 54.8% | #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))) | |
| 60.7% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))) | |
| 58.4% | #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))) | |
| ✓ | 54.9% | #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))) |
| 60.9% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) a))) | |
| 54.8% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))) | |
| ▶ | 64.2% | #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a b))) |
| 63.6% | #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))) | |
| ▶ | 64.2% | #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))) |
| ▶ | 58.1% | #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 990 to 696 computations (29.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) a) | |
| cost-diff | 0 | #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) (/.f64 (PI.f64) (-.f64 b a))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) (/.f64 (PI.f64) (-.f64 b a))) (*.f64 #s(literal -2 binary64) (+.f64 b a))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 (PI.f64) b) | |
| cost-diff | 0 | (*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) | |
| cost-diff | 0 | #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (PI.f64)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) | |
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a b)) | |
| cost-diff | 0 | #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a 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 (neg.f64 (PI.f64)) a) | |
| cost-diff | 0 | (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b) | |
| cost-diff | 0 | #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 319 |
| 0 | 76 | 313 |
| 1 | 157 | 313 |
| 2 | 376 | 313 |
| 3 | 972 | 313 |
| 4 | 2577 | 308 |
| 5 | 4857 | 270 |
| 6 | 7583 | 270 |
| 0 | 8197 | 270 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
#s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) |
(/.f64 (/.f64 (neg.f64 (PI.f64)) a) b) |
(/.f64 (neg.f64 (PI.f64)) a) |
(neg.f64 (PI.f64)) |
(PI.f64) |
a |
b |
(*.f64 #s(literal -2 binary64) (+.f64 b a)) |
#s(literal -2 binary64) |
(+.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)))) |
(*.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 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
#s(literal 1/2 binary64) |
(PI.f64) |
b |
(*.f64 a b) |
a |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))) |
(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) |
(/.f64 (PI.f64) b) |
(PI.f64) |
b |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(/.f64 (*.f64 #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) (/.f64 (PI.f64) (-.f64 b a))) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
(*.f64 #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) (/.f64 (PI.f64) (-.f64 b a))) |
#s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 #s(literal -1 binary64) a) |
#s(literal -1 binary64) |
a |
(/.f64 (PI.f64) (-.f64 b a)) |
(PI.f64) |
(-.f64 b a) |
b |
(*.f64 #s(literal -2 binary64) (+.f64 b a)) |
#s(literal -2 binary64) |
(+.f64 b a) |
| Outputs |
|---|
(/.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
(/.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) b) a)) (*.f64 (+.f64 a b) #s(literal -2 binary64))) |
#s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) |
#s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) b) a)) |
(/.f64 (/.f64 (neg.f64 (PI.f64)) a) b) |
(/.f64 (/.f64 (neg.f64 (PI.f64)) b) a) |
(/.f64 (neg.f64 (PI.f64)) a) |
(neg.f64 (PI.f64)) |
(PI.f64) |
a |
b |
(*.f64 #s(literal -2 binary64) (+.f64 b a)) |
(*.f64 (+.f64 a b) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(+.f64 b a) |
(+.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)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) #s(literal 1/2 binary64))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))) |
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) #s(literal 1/2 binary64)) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a b)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 b b) a) |
(*.f64 (*.f64 a b) b) |
(*.f64 b b) |
b |
a |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a b))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a b)) |
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
#s(literal 1/2 binary64) |
(PI.f64) |
b |
(*.f64 a b) |
a |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) |
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) b) |
(PI.f64) |
b |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(/.f64 (*.f64 #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) (/.f64 (PI.f64) (-.f64 b a))) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 a b)) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)))) |
(*.f64 #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) (/.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a))) |
#s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 #s(literal -1 binary64) a) |
#s(literal -1 binary64) |
a |
(/.f64 (PI.f64) (-.f64 b a)) |
(PI.f64) |
(-.f64 b a) |
b |
(*.f64 #s(literal -2 binary64) (+.f64 b a)) |
(*.f64 (+.f64 a b) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(+.f64 b a) |
(+.f64 a b) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12890625 | (/.f64 (*.f64 #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) (/.f64 (PI.f64) (-.f64 b a))) (*.f64 #s(literal -2 binary64) (+.f64 b a))) | |
| accuracy | 0.24675751953688405 | (*.f64 #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) (/.f64 (PI.f64) (-.f64 b a))) | |
| accuracy | 0.26171875 | (/.f64 (PI.f64) (-.f64 b a)) | |
| accuracy | 31.043514462514494 | #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) | |
| accuracy | 0.16863251953688402 | (*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) | |
| accuracy | 0.1796875 | (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) | |
| accuracy | 0.24609375 | (/.f64 (PI.f64) b) | |
| accuracy | 22.76845142265971 | #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))) | |
| accuracy | 0.0 | (PI.f64) | |
| accuracy | 0.201503759768442 | (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a b)) | |
| accuracy | 0.24609375 | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) | |
| accuracy | 22.76845142265971 | #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a b))) | |
| accuracy | 0.19207001953688402 | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))) | |
| accuracy | 0.5980049931155087 | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)) | |
| accuracy | 7.824144051090258 | (*.f64 (*.f64 b b) a) | |
| accuracy | 22.76845142265971 | #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 | #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) | |
| accuracy | 0.12890625 | (/.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) (*.f64 #s(literal -2 binary64) (+.f64 b a))) | |
| accuracy | 0.1875 | (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b) | |
| accuracy | 0.2421875 | (/.f64 (neg.f64 (PI.f64)) a) |
| 116.0ms | 256× | 0 | valid |
Compiled 265 to 43 computations (83.8% saved)
ival-mult: 35.0ms (52.2% of total)ival-div: 23.0ms (34.3% of total)ival-sub: 3.0ms (4.5% of total)ival-add: 2.0ms (3% of total)ival-neg: 2.0ms (3% of total)ival-pi: 1.0ms (1.5% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
#s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) |
(/.f64 (/.f64 (neg.f64 (PI.f64)) a) b) |
(/.f64 (neg.f64 (PI.f64)) 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)))) |
(*.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 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))) |
(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) |
(/.f64 (PI.f64) b) |
(/.f64 (*.f64 #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) (/.f64 (PI.f64) (-.f64 b a))) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
(*.f64 #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) (/.f64 (PI.f64) (-.f64 b a))) |
#s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 #s(literal -1 binary64) a) |
(*.f64 (*.f64 b b) a) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b) |
(/.f64 (PI.f64) (-.f64 b a)) |
| Outputs |
|---|
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (* a (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (* a (+ (/ (PI) (pow b 4)) (/ (* (+ b (* -1 b)) (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (pow b 2)))))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (/ (PI) (pow b 4)) (/ (* (+ b (* -1 b)) (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))))) (* 1/2 (+ (/ (PI) (pow b 4)) (/ (* (+ b (* -1 b)) (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (pow b 2))))))))) a) |
(* -1 (/ (PI) (* a b))) |
(* -1 (/ (PI) a)) |
(/ (+ (* 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))) |
(/ -1 a) |
(/ (- (/ a b) 1) a) |
(* a (pow b 2)) |
(/ 1/2 (* a b)) |
(/ (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 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (- (PI) (/ (* (PI) (+ b (* -1 b))) b)) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (- (PI) (/ (* (PI) (+ b (* -1 b))) b)) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (+ (* -1 (* (+ b (* -1 b)) (- (PI) (/ (* (PI) (+ b (* -1 b))) b)))) (* b (PI))) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (- (PI) (/ (* (PI) (+ b (* -1 b))) b)) a)) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (+ (* -1 (* (+ b (* -1 b)) (- (PI) (/ (* (PI) (+ b (* -1 b))) b)))) (* b (PI))) (pow a 2))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (/ (* (PI) (+ b (* -1 b))) b)))) (* (+ b (* -1 b)) (+ (* -1 (* (+ b (* -1 b)) (- (PI) (/ (* (PI) (+ b (* -1 b))) b)))) (* b (PI))))) (pow a 3)))))) (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 (/ (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 b) |
(- (/ 1 b) (/ 1 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 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (- (PI) (* -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 (/ (+ (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)) (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (- (/ (PI) (pow a 3)) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (* 1/2 (* b (+ (* -1 (/ (* (+ a (* -1 a)) (- (/ (PI) (pow a 3)) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (PI) (pow a 4)))))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (- (/ (PI) (pow a 3)) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (* b (+ (* 1/2 (* b (+ (* -1 (/ (- (/ (PI) (pow a 3)) (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (* (+ a (* -1 a)) (- (/ (PI) (pow a 3)) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (PI) (pow a 4)))) (pow a 2))))) (* 1/2 (+ (* -1 (/ (* (+ a (* -1 a)) (- (/ (PI) (pow a 3)) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (PI) (pow a 4))))))))) b) |
(/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b) |
(* 1/2 (/ (PI) b)) |
(/ (+ 1 (* -1 (/ b 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) (* -1 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (+ (* a (PI)) (* (+ a (* -1 a)) (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 2))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))) b)) (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* a (PI)) (* (+ a (* -1 a)) (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))))))) (* -1 (* (pow a 2) (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a)))))) (pow b 3))) (* 1/2 (/ (+ (* a (PI)) (* (+ a (* -1 a)) (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 2)))))) (pow b 2)) |
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2)) |
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2)) |
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2)) |
(/ (+ (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) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -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 (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 | a | @ | 0 | ((/ (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (* -2 (+ b a))) (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/ (/ (neg (PI)) a) b) (/ (neg (PI)) a) (* (* (/ 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))) (/ (/ (* 1/2 (PI)) b) (* a b)) (/ (* 1/2 (PI)) b) (* 1/2 (PI)) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) b) (/ (/ 1/2 a) b)) (/ (PI) b) (/ (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (* -2 (+ b a))) (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/ (neg (- b a)) (* b a)) (/ -1 a) (* (* b b) a) (/ (/ 1/2 a) b) (/ (PI) (- b a))) |
| 4.0ms | a | @ | inf | ((/ (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (* -2 (+ b a))) (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/ (/ (neg (PI)) a) b) (/ (neg (PI)) a) (* (* (/ 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))) (/ (/ (* 1/2 (PI)) b) (* a b)) (/ (* 1/2 (PI)) b) (* 1/2 (PI)) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) b) (/ (/ 1/2 a) b)) (/ (PI) b) (/ (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (* -2 (+ b a))) (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/ (neg (- b a)) (* b a)) (/ -1 a) (* (* b b) a) (/ (/ 1/2 a) b) (/ (PI) (- b a))) |
| 4.0ms | b | @ | inf | ((/ (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (* -2 (+ b a))) (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/ (/ (neg (PI)) a) b) (/ (neg (PI)) a) (* (* (/ 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))) (/ (/ (* 1/2 (PI)) b) (* a b)) (/ (* 1/2 (PI)) b) (* 1/2 (PI)) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) b) (/ (/ 1/2 a) b)) (/ (PI) b) (/ (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (* -2 (+ b a))) (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/ (neg (- b a)) (* b a)) (/ -1 a) (* (* b b) a) (/ (/ 1/2 a) b) (/ (PI) (- b a))) |
| 3.0ms | b | @ | 0 | ((/ (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (* -2 (+ b a))) (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/ (/ (neg (PI)) a) b) (/ (neg (PI)) a) (* (* (/ 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))) (/ (/ (* 1/2 (PI)) b) (* a b)) (/ (* 1/2 (PI)) b) (* 1/2 (PI)) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) b) (/ (/ 1/2 a) b)) (/ (PI) b) (/ (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (* -2 (+ b a))) (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/ (neg (- b a)) (* b a)) (/ -1 a) (* (* b b) a) (/ (/ 1/2 a) b) (/ (PI) (- b a))) |
| 3.0ms | b | @ | -inf | ((/ (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (* -2 (+ b a))) (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/ (/ (neg (PI)) a) b) (/ (neg (PI)) a) (* (* (/ 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))) (/ (/ (* 1/2 (PI)) b) (* a b)) (/ (* 1/2 (PI)) b) (* 1/2 (PI)) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) b) (/ (/ 1/2 a) b)) (/ (PI) b) (/ (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (* -2 (+ b a))) (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/ (neg (- b a)) (* b a)) (/ -1 a) (* (* b b) a) (/ (/ 1/2 a) b) (/ (PI) (- b a))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 480 | 2454 |
| 1 | 1782 | 2056 |
| 0 | 9006 | 1917 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (* a (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (* a (+ (/ (PI) (pow b 4)) (/ (* (+ b (* -1 b)) (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (pow b 2)))))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (/ (PI) (pow b 4)) (/ (* (+ b (* -1 b)) (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))))) (* 1/2 (+ (/ (PI) (pow b 4)) (/ (* (+ b (* -1 b)) (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (pow b 2))))))))) a) |
(* -1 (/ (PI) (* a b))) |
(* -1 (/ (PI) a)) |
(/ (+ (* 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))) |
(/ -1 a) |
(/ (- (/ a b) 1) a) |
(* a (pow b 2)) |
(/ 1/2 (* a b)) |
(/ (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 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (- (PI) (/ (* (PI) (+ b (* -1 b))) b)) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (- (PI) (/ (* (PI) (+ b (* -1 b))) b)) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (+ (* -1 (* (+ b (* -1 b)) (- (PI) (/ (* (PI) (+ b (* -1 b))) b)))) (* b (PI))) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (- (PI) (/ (* (PI) (+ b (* -1 b))) b)) a)) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (+ (* -1 (* (+ b (* -1 b)) (- (PI) (/ (* (PI) (+ b (* -1 b))) b)))) (* b (PI))) (pow a 2))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (/ (* (PI) (+ b (* -1 b))) b)))) (* (+ b (* -1 b)) (+ (* -1 (* (+ b (* -1 b)) (- (PI) (/ (* (PI) (+ b (* -1 b))) b)))) (* b (PI))))) (pow a 3)))))) (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 (/ (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 b) |
(- (/ 1 b) (/ 1 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 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (- (PI) (* -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 (/ (+ (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)) (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (- (/ (PI) (pow a 3)) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (* 1/2 (* b (+ (* -1 (/ (* (+ a (* -1 a)) (- (/ (PI) (pow a 3)) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (PI) (pow a 4)))))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (- (/ (PI) (pow a 3)) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (* b (+ (* 1/2 (* b (+ (* -1 (/ (- (/ (PI) (pow a 3)) (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (* (+ a (* -1 a)) (- (/ (PI) (pow a 3)) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (PI) (pow a 4)))) (pow a 2))))) (* 1/2 (+ (* -1 (/ (* (+ a (* -1 a)) (- (/ (PI) (pow a 3)) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (PI) (pow a 4))))))))) b) |
(/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b) |
(* 1/2 (/ (PI) b)) |
(/ (+ 1 (* -1 (/ b 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) (* -1 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (+ (* a (PI)) (* (+ a (* -1 a)) (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 2))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))) b)) (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* a (PI)) (* (+ a (* -1 a)) (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))))))) (* -1 (* (pow a 2) (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a)))))) (pow b 3))) (* 1/2 (/ (+ (* a (PI)) (* (+ a (* -1 a)) (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 2)))))) (pow b 2)) |
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2)) |
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2)) |
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2)) |
(/ (+ (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) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -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 (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 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (PI.f64) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a) (/.f64 (PI.f64) (*.f64 b b)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (* a (+ (/ (PI) (pow b 4)) (/ (* (+ b (* -1 b)) (- (/ (PI) (pow b 3)) (* -1 (/ (* (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 (*.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (PI.f64) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a (*.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (PI.f64) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 0 binary64) (*.f64 b b)))))) a)) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (/ (PI) (pow b 4)) (/ (* (+ b (* -1 b)) (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (/ (PI) (pow b 3)) (* -1 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))))) (* 1/2 (+ (/ (PI) (pow b 4)) (/ (* (+ b (* -1 b)) (- (/ (PI) (pow b 3)) (* -1 (/ (* (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) a) (fma.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (PI.f64) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 0 binary64) (neg.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (PI.f64) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 b b)) a (fma.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (PI.f64) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (PI.f64) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1/2 binary64))) a)) a) |
(* -1 (/ (PI) (* a b))) |
(/.f64 (/.f64 (neg.f64 (PI.f64)) b) a) |
(* -1 (/ (PI) a)) |
(/.f64 (neg.f64 (PI.f64)) a) |
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a) |
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(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 0 binary64))) (*.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) b))) b (*.f64 (/.f64 (/.f64 (PI.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 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) a) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (fma.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 0 binary64) (neg.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 4 binary64))) (PI.f64) (/.f64 (neg.f64 (PI.f64)) (pow.f64 a #s(literal 3 binary64)))))) (*.f64 a a)) b (fma.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 4 binary64))) (PI.f64) (/.f64 (neg.f64 (PI.f64)) (pow.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 4 binary64))) (PI.f64) (/.f64 (neg.f64 (PI.f64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/2 binary64))) b)) b) |
(* 1/2 (/ (PI) b)) |
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) |
(/ (+ 1 (* -1 (/ b a))) b) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b) |
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2)))) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) b (PI.f64)) (neg.f64 a)) |
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2))))) |
(fma.f64 (-.f64 (*.f64 (neg.f64 b) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (/.f64 (PI.f64) a) a)) b (/.f64 (neg.f64 (PI.f64)) a)) |
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) b) (/.f64 (/.f64 (PI.f64) a) a)) b (/.f64 (neg.f64 (PI.f64)) a)) |
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a) (PI.f64)) b) (/.f64 (PI.f64) a))) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (+ (* a (PI)) (* (+ a (* -1 a)) (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 2))))) (pow b 2)) |
(/.f64 (fma.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a) (PI.f64)) #s(literal 0 binary64) (*.f64 (PI.f64) a)) b) b) (/.f64 (PI.f64) a)) #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a) (PI.f64)) b) #s(literal -1/2 binary64))) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))) b)) (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* a (PI)) (* (+ a (* -1 a)) (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))))))) (* -1 (* (pow a 2) (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a)))))) (pow b 3))) (* 1/2 (/ (+ (* a (PI)) (* (+ a (* -1 a)) (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 2)))))) (pow b 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a) (PI.f64)) a) a (fma.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a) (PI.f64)) #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (PI.f64)))) (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a) (PI.f64)) #s(literal 0 binary64) (*.f64 (PI.f64) a)) b) b)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a) (PI.f64)) b) (/.f64 (PI.f64) a)))) (*.f64 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 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) b) (/.f64 (PI.f64) a)) 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 (+.f64 (/.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) b) (/.f64 (PI.f64) a)) #s(literal 1/2 binary64))) (*.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 (+.f64 (/.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) b) (/.f64 (PI.f64) a)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) (*.f64 a 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))))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 b b)) |
(/ (+ (PI) (/ (* a (PI)) b)) b) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) b) |
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b) |
(/.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) a (*.f64 a (*.f64 (/.f64 (PI.f64) b) a))) b) (PI.f64)) 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)) (/.f64 (fma.f64 (PI.f64) a (*.f64 a (*.f64 (/.f64 (PI.f64) b) a))) 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 (/ (+ (* -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 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (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 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 a (*.f64 (/.f64 (PI.f64) b) a)) (*.f64 (PI.f64) a))) (neg.f64 b))) (neg.f64 b))) (*.f64 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) (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 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.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 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (PI.f64) b) a (PI.f64))) b) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (PI.f64) a (*.f64 a (*.f64 (/.f64 (PI.f64) b) a))) b) (PI.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 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (PI.f64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b))) b)) b)) (neg.f64 b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 269 |
| 0 | 76 | 263 |
| 1 | 259 | 263 |
| 2 | 1812 | 263 |
| 0 | 8169 | 263 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
#s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) |
(/.f64 (/.f64 (neg.f64 (PI.f64)) a) b) |
(/.f64 (neg.f64 (PI.f64)) 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)))) |
(*.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 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))) |
(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) |
(/.f64 (PI.f64) b) |
(/.f64 (*.f64 #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) (/.f64 (PI.f64) (-.f64 b a))) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
(*.f64 #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) (/.f64 (PI.f64) (-.f64 b a))) |
#s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 #s(literal -1 binary64) a) |
(*.f64 (*.f64 b b) a) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b) |
(/.f64 (PI.f64) (-.f64 b a)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) #s(literal -2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) |
(*.f64 (/.f64 (/.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) #s(literal -2 binary64)) (*.f64 (-.f64 a b) (+.f64 a b))) (-.f64 a b)) |
(*.f64 (/.f64 (/.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) #s(literal -2 binary64)) (+.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 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) #s(literal -2 binary64)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a (*.f64 b (-.f64 b a)))) |
(/.f64 (neg.f64 (/.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) (+.f64 a b))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) #s(literal -2 binary64)))) (neg.f64 (neg.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b))))) (*.f64 #s(literal 2 binary64) (+.f64 a b))) |
(/.f64 (/.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) (+.f64 a b)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) #s(literal -2 binary64))) (neg.f64 (+.f64 a b))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)))) (*.f64 (+.f64 a b) #s(literal -2 binary64))) |
(/.f64 (/.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) #s(literal -2 binary64)) (+.f64 a b)) |
(/.f64 (neg.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b))) (*.f64 #s(literal 2 binary64) (+.f64 a b))) |
(/.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) (*.f64 (+.f64 a b) #s(literal -2 binary64))) |
(neg.f64 (/.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) (*.f64 #s(literal 2 binary64) (+.f64 a b)))) |
#s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) |
(/.f64 (/.f64 (neg.f64 (PI.f64)) b) a) |
(/.f64 (/.f64 (PI.f64) a) (neg.f64 (neg.f64 (neg.f64 b)))) |
(/.f64 (/.f64 (PI.f64) a) (neg.f64 b)) |
(/.f64 (/.f64 (PI.f64) b) (neg.f64 a)) |
(/.f64 (/.f64 (neg.f64 (PI.f64)) a) (neg.f64 (neg.f64 b))) |
(/.f64 (/.f64 (neg.f64 (PI.f64)) a) b) |
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 (neg.f64 a) b))) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 (neg.f64 a) b)) |
(neg.f64 (/.f64 (/.f64 (PI.f64) a) b)) |
(neg.f64 (/.f64 (PI.f64) (*.f64 a b))) |
(+.f64 (/.f64 (cosh.f64 (log.f64 (PI.f64))) (*.f64 (neg.f64 a) b)) (/.f64 (sinh.f64 (log.f64 (PI.f64))) (*.f64 (neg.f64 a) b))) |
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (PI.f64)) a) |
(/.f64 (PI.f64) (neg.f64 (neg.f64 (neg.f64 a)))) |
(/.f64 (PI.f64) (neg.f64 a)) |
(neg.f64 (/.f64 (PI.f64) a)) |
(+.f64 (/.f64 (cosh.f64 (log.f64 (PI.f64))) (neg.f64 a)) (/.f64 (sinh.f64 (log.f64 (PI.f64))) (neg.f64 a))) |
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(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
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(/.f64 (*.f64 #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal -2 binary64))) (+.f64 a b)) |
(/.f64 (*.f64 #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (+.f64 a b) #s(literal -2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (/.f64 (PI.f64) (-.f64 b a))) #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a))) (*.f64 #s(literal 2 binary64) (+.f64 a b))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a))) (*.f64 (+.f64 a b) #s(literal -2 binary64))) |
(neg.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a))) (*.f64 #s(literal 2 binary64) (+.f64 a b)))) |
(*.f64 (/.f64 (*.f64 #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b)) |
(*.f64 (/.f64 (*.f64 #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) (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 b a)) #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) (/.f64 (PI.f64) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)))) (-.f64 b a)) |
(/.f64 (neg.f64 (*.f64 #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 (PI.f64)))) (-.f64 b a)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) (PI.f64)))) (-.f64 b a)) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a))) (neg.f64 (-.f64 b a))) |
(/.f64 (*.f64 #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 (PI.f64))) (neg.f64 (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) (PI.f64))) (neg.f64 (-.f64 b a))) |
(/.f64 (*.f64 #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) (PI.f64)) (-.f64 b a)) |
#s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (pow.f64 (neg.f64 a) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 a) #s(literal -1/2 binary64))) |
(pow.f64 (neg.f64 a) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 a))) |
(/.f64 #s(literal -1 binary64) a) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 a)) |
(neg.f64 (pow.f64 a #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 a)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 a) b) (neg.f64 b)) |
(*.f64 (neg.f64 b) (*.f64 (neg.f64 a) b)) |
(*.f64 (*.f64 b b) a) |
(*.f64 (*.f64 a b) b) |
(*.f64 a (*.f64 b b)) |
(*.f64 b (*.f64 a b)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) b)) (neg.f64 a)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) b) a) |
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (neg.f64 (neg.f64 b)))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 b)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 a) b)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (neg.f64 b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 a) b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) |
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b)) |
(*.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 (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 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (PI.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))) |
(+.f64 (/.f64 (cosh.f64 (log.f64 (PI.f64))) (-.f64 b a)) (/.f64 (sinh.f64 (log.f64 (PI.f64))) (-.f64 b a))) |
Compiled 19 740 to 2 163 computations (89% saved)
18 alts after pruning (15 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 545 | 6 | 551 |
| Fresh | 3 | 9 | 12 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 552 | 18 | 570 |
| Status | Accuracy | Program |
|---|---|---|
| 87.7% | (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 b a))) | |
| 99.6% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b)) | |
| 82.4% | (/.f64 (neg.f64 (*.f64 (PI.f64) (-.f64 b a))) (*.f64 (*.f64 (*.f64 (-.f64 b a) b) a) (*.f64 (+.f64 a b) #s(literal -2 binary64)))) | |
| 99.7% | (/.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a b))) (*.f64 #s(literal -2 binary64) (+.f64 b a))) | |
| 54.8% | #s(approx (/ (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (* -2 (+ b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) | |
| 60.8% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) a) #s(literal 1/2 binary64)) (*.f64 b a))) | |
| ✓ | 60.9% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a))) |
| 60.7% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))) | |
| 58.4% | #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))) | |
| ✓ | 54.9% | #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))) |
| 60.9% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) a))) | |
| 54.8% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))) | |
| 64.3% | #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (PI.f64)) b)) | |
| 63.6% | #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))) | |
| 64.2% | #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))) | |
| 64.3% | #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (*.f64 a b)))) | |
| ✓ | 58.1% | #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)))) |
| 63.5% | #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) b)))) |
Compiled 1 869 to 611 computations (67.3% 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 a b) 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 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))) |
#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 (/ (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (* -2 (+ b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (*.f64 a b)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a b))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 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 (/.f64 (/.f64 (PI.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 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b)) |
(/.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a b))) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (PI.f64)) b)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.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) a) b)) (/.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))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 a a)))) |
(/.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
(/.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 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) 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 (neg.f64 (*.f64 (PI.f64) (-.f64 b a))) (*.f64 (*.f64 (*.f64 (-.f64 b a) b) a) (*.f64 (+.f64 a b) #s(literal -2 binary64)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 b a) a))) |
(/.f64 (*.f64 #s(approx (/ (neg (- b a)) (* b a)) (/.f64 #s(literal -1 binary64) a)) (/.f64 (PI.f64) (-.f64 b a))) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (/.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) (-.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 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 b a))) |
(/.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 (*.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 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) b) (/.f64 (-.f64 b a) (*.f64 (-.f64 b a) 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) (PI.f64)) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) b)) (-.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))) |
(*.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 #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)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) a) #s(literal 1/2 binary64)) (*.f64 b a))) |
| Outputs |
|---|
(/.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
3 calls:
| 49.0ms | a |
| 21.0ms | (*.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))) |
| 12.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 99.7% | 1 | a |
| 99.7% | 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 a b) 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 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))) |
#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 (/ (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (* -2 (+ b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (*.f64 a b)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a b))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 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 (/.f64 (/.f64 (PI.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 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b)) |
(/.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a b))) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (PI.f64)) b)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.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) a) b)) (/.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))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 a a)))) |
| Outputs |
|---|
(/.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a b))) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
3 calls:
| 6.0ms | b |
| 6.0ms | a |
| 6.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (*.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))) |
| 99.7% | 1 | a |
| 99.7% | 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 a b) 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 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))) |
#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 (/ (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (* -2 (+ b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (*.f64 a b)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a b))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 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 (/.f64 (/.f64 (PI.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 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b)) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b)) |
3 calls:
| 36.0ms | (*.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))) |
| 4.0ms | b |
| 4.0ms | a |
| 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 a b) 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 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))) |
#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 (/ (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (* -2 (+ b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (*.f64 a b)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a b))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 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 (/.f64 (/.f64 (PI.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 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a))) |
| Outputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (*.f64 a b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a))) |
3 calls:
| 4.0ms | b |
| 4.0ms | a |
| 4.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.3% | 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))) |
| 90.1% | 3 | a |
| 87.9% | 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 a b) 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 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))) |
#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 (/ (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (* -2 (+ b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (*.f64 a b)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a b))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 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 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))) |
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (*.f64 a b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))) |
1 calls:
| 4.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.9% | 3 | a |
Compiled 1 to 2 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 a b) 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 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))) |
#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 (/ (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (* -2 (+ b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a 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 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))) |
1 calls:
| 3.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.5% | 3 | a |
Compiled 1 to 2 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 a b) 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:
| 18.0ms | (*.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))) |
| 2.0ms | a |
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.6% | 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))) |
| 63.6% | 1 | b |
| 63.6% | 1 | a |
Compiled 23 to 19 computations (17.4% saved)
Total -3.5b remaining (-15.1%)
Threshold costs -3.5b (-15.1%)
| 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 a b) 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 a b) b)))) |
3 calls:
| 1.0ms | a |
| 1.0ms | b |
| 1.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.5% | 1 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 63.5% | 1 | a |
| 63.5% | 1 | b |
Compiled 23 to 19 computations (17.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 44.0ms | 2.4752089270927756e-30 | 9.870154928148685e-28 |
| 18.0ms | -134496.75996893883 | -0.014738065161665237 |
| 51.0ms | 272× | 0 | valid |
Compiled 1 078 to 802 computations (25.6% saved)
ival-div: 35.0ms (78.5% of total)ival-mult: 6.0ms (13.5% of total)ival-sub: 2.0ms (4.5% of total)ival-pi: 1.0ms (2.2% of total)ival-true: 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 |
|---|---|---|
| 51.0ms | 1.4210338851653916e-75 | 2.5989535478867907e-70 |
| 1.0ms | -134496.75996893883 | -0.014738065161665237 |
| 12.0ms | 144× | 0 | valid |
Compiled 1 140 to 848 computations (25.6% saved)
ival-div: 4.0ms (45% of total)ival-mult: 3.0ms (33.7% of total)ival-pi: 1.0ms (11.2% of total)ival-sub: 1.0ms (11.2% of total)ival-true: 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 | 1.4210338851653916e-75 | 2.5989535478867907e-70 |
| 1.0ms | -134496.75996893883 | -0.014738065161665237 |
Compiled 1 140 to 848 computations (25.6% saved)
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 340 |
| 1 | 141 | 324 |
| 2 | 352 | 324 |
| 3 | 1088 | 324 |
| 4 | 4158 | 324 |
| 5 | 7891 | 324 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
(/.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a b))) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b)) |
(if (<=.f64 a #s(literal -3602879701896397/9007199254740992 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a))) (if (<=.f64 a #s(literal 4906163943676737/11150372599265311570767859136324180752990208 binary64)) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (*.f64 a b)))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a))))) |
(if (<=.f64 a #s(literal -3602879701896397/9007199254740992 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))) (if (<=.f64 a #s(literal 7926089080280975/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (*.f64 a b)))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))))) |
(if (<=.f64 a #s(literal -3602879701896397/9007199254740992 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))) (if (<=.f64 a #s(literal 7926089080280975/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 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 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a 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 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) b)))) |
| Outputs |
|---|
(/.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
(/.f64 #s(approx (* (/ (neg (- b a)) (* b a)) (/ (PI) (- b a))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a b))) (*.f64 #s(literal -2 binary64) (+.f64 b a))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b)) |
(if (<=.f64 a #s(literal -3602879701896397/9007199254740992 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a))) (if (<=.f64 a #s(literal 4906163943676737/11150372599265311570767859136324180752990208 binary64)) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (*.f64 a b)))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a))))) |
(if (or (<=.f64 a #s(literal -3602879701896397/9007199254740992 binary64)) (not (<=.f64 a #s(literal 4906163943676737/11150372599265311570767859136324180752990208 binary64)))) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a))) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (*.f64 a b))))) |
(if (<=.f64 a #s(literal -3602879701896397/9007199254740992 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))) (if (<=.f64 a #s(literal 7926089080280975/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (*.f64 a b)))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))))) |
(if (or (<=.f64 a #s(literal -3602879701896397/9007199254740992 binary64)) (not (<=.f64 a #s(literal 7926089080280975/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)))) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (*.f64 a b))))) |
(if (<=.f64 a #s(literal -3602879701896397/9007199254740992 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))) (if (<=.f64 a #s(literal 7926089080280975/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 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 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))))) |
(if (or (<=.f64 a #s(literal -3602879701896397/9007199254740992 binary64)) (not (<=.f64 a #s(literal 7926089080280975/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)))) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a 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 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 a b) b)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 269 |
| 0 | 76 | 263 |
| 1 | 259 | 263 |
| 2 | 1812 | 263 |
| 0 | 8169 | 263 |
| 0 | 291 | 1145 |
| 1 | 905 | 1099 |
| 2 | 3533 | 1055 |
| 0 | 8522 | 1011 |
| 0 | 49 | 289 |
| 0 | 77 | 283 |
| 1 | 290 | 277 |
| 2 | 2674 | 277 |
| 0 | 8733 | 277 |
| 0 | 15 | 54 |
| 0 | 26 | 54 |
| 1 | 112 | 50 |
| 2 | 980 | 50 |
| 0 | 8912 | 50 |
| 0 | 56 | 274 |
| 0 | 84 | 273 |
| 1 | 324 | 235 |
| 2 | 2873 | 217 |
| 0 | 8164 | 217 |
| 0 | 835 | 3776 |
| 1 | 2986 | 3729 |
| 0 | 8432 | 3547 |
| 0 | 793 | 4068 |
| 1 | 2943 | 3506 |
| 0 | 8378 | 3352 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 340 to 70 computations (79.4% saved)
Compiled 722 to 170 computations (76.5% saved)
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