
Time bar (total: 4.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 3 |
| 33.3% | 25% | 50% | 0% | 0% | 25% | 0% | 4 |
| 60% | 37.5% | 25% | 0% | 0% | 37.5% | 0% | 5 |
| 77.8% | 43.7% | 12.5% | 0% | 0% | 43.7% | 0% | 6 |
| 88.2% | 46.9% | 6.2% | 0% | 0% | 46.9% | 0% | 7 |
| 93.9% | 48.4% | 3.1% | 0% | 0% | 48.4% | 0% | 8 |
| 96.9% | 49.2% | 1.6% | 0% | 0% | 49.2% | 0% | 9 |
| 98.4% | 49.6% | 0.8% | 0% | 0% | 49.6% | 0% | 10 |
| 99.2% | 49.8% | 0.4% | 0% | 0% | 49.8% | 0% | 11 |
| 99.6% | 49.9% | 0.2% | 0% | 0% | 49.9% | 0% | 12 |
Compiled 13 to 11 computations (15.4% saved)
| 718.0ms | 8 256× | 0 | valid |
| 1.0ms | 16× | 0 | invalid |
ival-sqrt: 218.0ms (40.3% of total)ival-atan: 85.0ms (15.7% of total)ival-sub: 59.0ms (10.9% of total)ival-div: 57.0ms (10.5% of total)ival-mult: 55.0ms (10.2% of total)ival-add: 49.0ms (9.1% of total)exact: 8.0ms (1.5% of total)ival-true: 6.0ms (1.1% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 36.0ms | 512× | 0 | valid |
Compiled 147 to 40 computations (72.8% saved)
ival-atan: 4.0ms (18.4% of total)ival-sqrt: 4.0ms (18.4% of total)ival-div: 3.0ms (13.8% of total)ival-add: 3.0ms (13.8% of total)ival-mult: 3.0ms (13.8% of total)ival-sub: 3.0ms (13.8% of total)exact: 1.0ms (4.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 24 |
| 1 | 31 | 22 |
| 2 | 59 | 22 |
| 3 | 108 | 22 |
| 4 | 180 | 22 |
| 5 | 350 | 22 |
| 6 | 620 | 22 |
| 7 | 647 | 22 |
| 0 | 9 | 11 |
| 0 | 15 | 11 |
| 1 | 24 | 11 |
| 2 | 30 | 11 |
| 3 | 41 | 11 |
| 4 | 64 | 11 |
| 5 | 98 | 11 |
| 6 | 135 | 11 |
| 7 | 208 | 11 |
| 8 | 330 | 11 |
| 9 | 498 | 11 |
| 10 | 529 | 11 |
| 0 | 529 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)) |
Compiled 11 to 9 computations (18.2% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
Compiled 11 to 9 computations (18.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 44 |
| 0 | 15 | 44 |
| 1 | 24 | 44 |
| 2 | 30 | 44 |
| 3 | 41 | 44 |
| 4 | 64 | 44 |
| 5 | 98 | 44 |
| 6 | 135 | 44 |
| 7 | 208 | 44 |
| 8 | 330 | 44 |
| 9 | 498 | 44 |
| 10 | 529 | 44 |
| 0 | 529 | 44 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
#s(literal 2 binary64) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(+.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) | |
| accuracy | 0.01171875 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.01171875 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.03125 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| 17.0ms | 256× | 0 | valid |
Compiled 90 to 20 computations (77.8% saved)
ival-div: 2.0ms (18.9% of total)ival-mult: 2.0ms (18.9% of total)ival-atan: 2.0ms (18.9% of total)ival-sub: 2.0ms (18.9% of total)ival-sqrt: 2.0ms (18.9% of total)ival-add: 1.0ms (9.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
1 |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
-1 |
(- (* 2 (/ 1 x)) 1) |
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2)))) |
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2)))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
-1 |
(- (* 2 (/ 1 x)) 1) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))) |
| 1.0ms | x | @ | inf | ((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))) |
| 1.0ms | x | @ | 0 | ((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 541 |
| 1 | 276 | 480 |
| 2 | 764 | 466 |
| 3 | 2111 | 454 |
| 4 | 6140 | 448 |
| 0 | 8112 | 437 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
1 |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
-1 |
(- (* 2 (/ 1 x)) 1) |
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2)))) |
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2)))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
-1 |
(- (* 2 (/ 1 x)) 1) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1) |
| Outputs |
|---|
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 2 x) 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 1 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (sqrt.f64 #s(literal -1 binary64))) x)) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(-.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (sqrt.f64 #s(literal -1 binary64))) x)) (/.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ 1 x)) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2)))) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) |
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2)))) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (sqrt.f64 #s(literal -1 binary64))) x)) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) x)) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ 1 x)) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 0 | 15 | 34 |
| 1 | 52 | 34 |
| 2 | 339 | 34 |
| 3 | 4589 | 8 |
| 0 | 9824 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64))) |
(neg.f64 (atan.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(neg.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(atan.f64 #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 1 binary64) |
Compiled 1 062 to 143 computations (86.5% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 51 | 4 | 55 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 51 | 5 | 56 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.3% | (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ✓ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| ▶ | 99.5% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
| ▶ | 99.3% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
| ▶ | 98.8% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
Compiled 71 to 58 computations (18.3% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (atan.f64 #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 210 |
| 0 | 46 | 210 |
| 1 | 68 | 210 |
| 2 | 92 | 210 |
| 3 | 181 | 210 |
| 4 | 345 | 210 |
| 5 | 613 | 210 |
| 6 | 1149 | 210 |
| 7 | 2060 | 210 |
| 8 | 2506 | 210 |
| 9 | 2667 | 210 |
| 10 | 2740 | 210 |
| 11 | 2839 | 210 |
| 12 | 2885 | 210 |
| 13 | 2885 | 210 |
| 0 | 2885 | 210 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
#s(literal 2 binary64) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
#s(literal 2 binary64) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
#s(literal 2 binary64) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(atan.f64 #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(atan.f64 #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0 | (atan.f64 #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) | |
| accuracy | 0.00390625 | (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) | |
| accuracy | 0.01171875 | (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) | |
| accuracy | 0.308421644540127 | #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) | |
| accuracy | 0 | (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) | |
| accuracy | 0.01171875 | (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) | |
| accuracy | 0.44648135988002907 | #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.01171875 | (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.7742148655091521 | #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) |
| 46.0ms | 256× | 0 | valid |
Compiled 362 to 54 computations (85.1% saved)
ival-add: 10.0ms (33.6% of total)ival-mult: 10.0ms (33.6% of total)ival-atan: 3.0ms (10.1% of total)ival-div: 2.0ms (6.7% of total)ival-sub: 2.0ms (6.7% of total)ival-sqrt: 2.0ms (6.7% of total)exact: 1.0ms (3.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(atan.f64 #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
| Outputs |
|---|
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
-1 |
(- (* 1/2 x) 1) |
(- (* 1/2 x) 1) |
(- (* 1/2 x) 1) |
-1 |
(- (* 1/2 x) 1) |
(- (* x (+ 1/2 (* -1/2 x))) 1) |
(- (* x (+ 1/2 (* -1/2 x))) 1) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(* -1/2 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))) |
(* 1/2 x) |
(* x (- 1/2 (/ 1 x))) |
(* x (- 1/2 (/ 1 x))) |
(* x (- 1/2 (/ 1 x))) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(* -1/2 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x))))) |
(* 1/2 x) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/2)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (- 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* 1/2 x) -1) x) 1) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) (* (atan 1) 2) (atan 1) (+ (* 1/2 x) -1) (+ (* (+ (* -1/2 x) 1/2) x) -1)) |
| 1.0ms | x | @ | -inf | ((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (- 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* 1/2 x) -1) x) 1) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) (* (atan 1) 2) (atan 1) (+ (* 1/2 x) -1) (+ (* (+ (* -1/2 x) 1/2) x) -1)) |
| 1.0ms | x | @ | 0 | ((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (- 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* 1/2 x) -1) x) 1) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) (* (atan 1) 2) (atan 1) (+ (* 1/2 x) -1) (+ (* (+ (* -1/2 x) 1/2) x) -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 1703 |
| 1 | 348 | 1516 |
| 2 | 1135 | 1494 |
| 3 | 3783 | 1462 |
| 4 | 7798 | 1462 |
| 0 | 8162 | 1383 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
-1 |
(- (* 1/2 x) 1) |
(- (* 1/2 x) 1) |
(- (* 1/2 x) 1) |
-1 |
(- (* 1/2 x) 1) |
(- (* x (+ 1/2 (* -1/2 x))) 1) |
(- (* x (+ 1/2 (* -1/2 x))) 1) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(* -1/2 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))) |
(* 1/2 x) |
(* x (- 1/2 (/ 1 x))) |
(* x (- 1/2 (/ 1 x))) |
(* x (- 1/2 (/ 1 x))) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(* -1/2 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x))))) |
(* 1/2 x) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/2)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/2)) |
| Outputs |
|---|
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 x) 1) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
(- (* 1/2 x) 1) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
(- (* 1/2 x) 1) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 x) 1) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* -1/2 x))) 1) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* -1/2 x))) 1) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1/2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) x) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (- 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
(* x (- 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
(* x (- 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) x)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) x)) |
(* -1/2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) |
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) x) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/2)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/2)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 190 |
| 0 | 46 | 190 |
| 1 | 151 | 190 |
| 2 | 1041 | 190 |
| 0 | 8475 | 190 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(atan.f64 #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) (+.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)) (-.f64 (*.f64 x x) x))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(neg.f64 (+.f64 #s(literal -1 binary64) x)) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 9 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) (neg.f64 x) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 x (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(fma.f64 x (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)) |
Compiled 13 233 to 1 703 computations (87.1% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 430 | 2 | 432 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 1 | 1 |
| Total | 430 | 7 | 437 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 97.3% | (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ✓ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| ✓ | 99.5% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
| ✓ | 99.3% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
| ▶ | 98.8% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) |
| ▶ | 99.5% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))))) |
| ✓ | 98.8% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
Compiled 141 to 98 computations (30.5% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) | |
| cost-diff | 128 | (-.f64 (neg.f64 x) #s(literal 1 binary64)) | |
| cost-diff | 1088 | (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))) | |
| cost-diff | 0 | (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))))) | |
| cost-diff | 6400 | (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 358 |
| 0 | 50 | 358 |
| 1 | 87 | 358 |
| 2 | 163 | 353 |
| 3 | 548 | 353 |
| 4 | 3095 | 333 |
| 5 | 7215 | 333 |
| 0 | 8103 | 323 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))))) |
#s(literal 2 binary64) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 3 binary64) |
#s(literal 1 binary64) |
(-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) |
(+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) |
#s(literal 2 binary64) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(-.f64 (neg.f64 x) #s(literal 1 binary64)) |
(neg.f64 x) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))))) |
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64))))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 3 binary64) |
#s(literal 1 binary64) |
(-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) |
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(-.f64 (neg.f64 x) #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
#s(literal 1 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.01171875 | (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) | |
| accuracy | 0.0390625 | (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) | |
| accuracy | 0.7742148655091521 | #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) | |
| accuracy | 0.03125 | (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) | |
| accuracy | 0.03515625 | (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) | |
| accuracy | 0.056015039073768064 | (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) | |
| accuracy | 0.308421644540127 | #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))) |
| 59.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 599 to 62 computations (89.6% saved)
ival-mult: 8.0ms (20.4% of total)ival-add: 7.0ms (17.8% of total)ival-pow: 7.0ms (17.8% of total)ival-div: 5.0ms (12.7% of total)ival-sub: 4.0ms (10.2% of total)ival-atan: 2.0ms (5.1% of total)ival-sqrt: 2.0ms (5.1% of total)ival-pow2: 2.0ms (5.1% of total)exact: 1.0ms (2.5% of total)ival-neg: 1.0ms (2.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(-.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) |
(pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(neg.f64 x) |
| Outputs |
|---|
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/2 x)))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
-1 |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(* -1 (pow x 3)) |
(* (pow x 3) (- (* 3/2 x) 1)) |
(* (pow x 3) (- (* x (+ 3/2 (* -9/4 x))) 1)) |
(* (pow x 3) (- (* x (+ 3/2 (* x (- (* 13/8 x) 9/4)))) 1)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 x))) |
(* (pow x 2) (+ 1 (* x (- (* 5/4 x) 1)))) |
(* (pow x 2) (+ 1 (* x (- (* x (+ 5/4 (* -1/2 x))) 1)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 1/4 (pow x 6)) |
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x)))) |
(* (pow x 6) (- (+ 1/4 (/ 5/4 (pow x 2))) (* 1/2 (/ 1 x)))) |
(* (pow x 6) (- (+ 1/4 (/ 5/4 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(* -1/8 (pow x 9)) |
(* (pow x 9) (- (* 3/8 (/ 1 x)) 1/8)) |
(* (pow x 9) (- (* 3/8 (/ 1 x)) (+ 1/8 (/ 9/8 (pow x 2))))) |
(* (pow x 9) (- (+ (* 3/8 (/ 1 x)) (* 13/8 (/ 1 (pow x 3)))) (+ 1/8 (/ 9/8 (pow x 2))))) |
(* 1/4 (pow x 6)) |
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x)))) |
(* (pow x 6) (- (+ 1/4 (/ 5/4 (pow x 2))) (* 1/2 (/ 1 x)))) |
(* (pow x 6) (- (+ 1/4 (/ 5/4 (pow x 2))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))))) |
(* -1/2 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 1/4 (pow x 6)) |
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x)))) |
(* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 5/4 (/ 1 x))) x)))) |
(* (pow x 6) (+ 1/4 (* -1 (/ (+ 1/2 (* -1 (/ (- 5/4 (* 1/2 (/ 1 x))) x))) x)))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(* -1/8 (pow x 9)) |
(* -1 (* (pow x 9) (- 1/8 (* 3/8 (/ 1 x))))) |
(* -1 (* (pow x 9) (+ 1/8 (* -1 (/ (- 3/8 (* 9/8 (/ 1 x))) x))))) |
(* -1 (* (pow x 9) (+ 1/8 (* -1 (/ (+ 3/8 (* -1 (/ (- 9/8 (* 13/8 (/ 1 x))) x))) x))))) |
(* 1/4 (pow x 6)) |
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x)))) |
(* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 5/4 (/ 1 x))) x)))) |
(* (pow x 6) (+ 1/4 (* -1 (/ (+ 1/2 (* -1 (/ (- 5/4 (/ 1 x)) x))) x)))) |
(* -1/2 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x))))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | ((- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (+ (* x x) -1) (- (neg x) 1)) (- (neg x) 1) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 3) (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) (/ (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 3) 1) (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x))) (sqrt (/ (- 1 x) (+ 1 x))) (neg x)) |
| 2.0ms | x | @ | inf | ((- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (+ (* x x) -1) (- (neg x) 1)) (- (neg x) 1) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 3) (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) (/ (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 3) 1) (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x))) (sqrt (/ (- 1 x) (+ 1 x))) (neg x)) |
| 2.0ms | x | @ | 0 | ((- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (+ (* x x) -1) (- (neg x) 1)) (- (neg x) 1) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 3) (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) (/ (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 3) 1) (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x))) (sqrt (/ (- 1 x) (+ 1 x))) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 231 | 1514 |
| 1 | 682 | 1370 |
| 2 | 2021 | 1333 |
| 3 | 6752 | 1333 |
| 0 | 8184 | 1300 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/2 x)))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
-1 |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(* -1 (pow x 3)) |
(* (pow x 3) (- (* 3/2 x) 1)) |
(* (pow x 3) (- (* x (+ 3/2 (* -9/4 x))) 1)) |
(* (pow x 3) (- (* x (+ 3/2 (* x (- (* 13/8 x) 9/4)))) 1)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 x))) |
(* (pow x 2) (+ 1 (* x (- (* 5/4 x) 1)))) |
(* (pow x 2) (+ 1 (* x (- (* x (+ 5/4 (* -1/2 x))) 1)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 1/4 (pow x 6)) |
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x)))) |
(* (pow x 6) (- (+ 1/4 (/ 5/4 (pow x 2))) (* 1/2 (/ 1 x)))) |
(* (pow x 6) (- (+ 1/4 (/ 5/4 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(* -1/8 (pow x 9)) |
(* (pow x 9) (- (* 3/8 (/ 1 x)) 1/8)) |
(* (pow x 9) (- (* 3/8 (/ 1 x)) (+ 1/8 (/ 9/8 (pow x 2))))) |
(* (pow x 9) (- (+ (* 3/8 (/ 1 x)) (* 13/8 (/ 1 (pow x 3)))) (+ 1/8 (/ 9/8 (pow x 2))))) |
(* 1/4 (pow x 6)) |
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x)))) |
(* (pow x 6) (- (+ 1/4 (/ 5/4 (pow x 2))) (* 1/2 (/ 1 x)))) |
(* (pow x 6) (- (+ 1/4 (/ 5/4 (pow x 2))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))))) |
(* -1/2 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 1/4 (pow x 6)) |
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x)))) |
(* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 5/4 (/ 1 x))) x)))) |
(* (pow x 6) (+ 1/4 (* -1 (/ (+ 1/2 (* -1 (/ (- 5/4 (* 1/2 (/ 1 x))) x))) x)))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(* -1/8 (pow x 9)) |
(* -1 (* (pow x 9) (- 1/8 (* 3/8 (/ 1 x))))) |
(* -1 (* (pow x 9) (+ 1/8 (* -1 (/ (- 3/8 (* 9/8 (/ 1 x))) x))))) |
(* -1 (* (pow x 9) (+ 1/8 (* -1 (/ (+ 3/8 (* -1 (/ (- 9/8 (* 13/8 (/ 1 x))) x))) x))))) |
(* 1/4 (pow x 6)) |
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x)))) |
(* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 5/4 (/ 1 x))) x)))) |
(* (pow x 6) (+ 1/4 (* -1 (/ (+ 1/2 (* -1 (/ (- 5/4 (/ 1 x)) x))) x)))) |
(* -1/2 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x))))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/2 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
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(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
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(* (pow x 3) (- (* 3/2 x) 1)) |
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1 |
#s(literal 1 binary64) |
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(-.f64 #s(literal 1 binary64) x) |
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1 |
#s(literal 1 binary64) |
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(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
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(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
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(-.f64 #s(literal -1 binary64) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
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(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
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(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
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(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(* -1/8 (pow x 9)) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/8 binary64)) |
(* (pow x 9) (- (* 3/8 (/ 1 x)) 1/8)) |
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(* (pow x 9) (- (* 3/8 (/ 1 x)) (+ 1/8 (/ 9/8 (pow x 2))))) |
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(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4 binary64)) |
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x)))) |
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(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)) |
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(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
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(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
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(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* 1/4 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4 binary64)) |
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 5/4 (/ 1 x))) x)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/4 binary64) x)) x)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/4 (* -1 (/ (+ 1/2 (* -1 (/ (- 5/4 (* 1/2 (/ 1 x))) x))) x)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 5/4 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) x)) (pow.f64 x #s(literal 6 binary64))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
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(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
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(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
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(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
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(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
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(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
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(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
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(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
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(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x)) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) x) (sqrt.f64 #s(literal -1 binary64)))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
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(* -1/8 (pow x 9)) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/8 binary64)) |
(* -1 (* (pow x 9) (- 1/8 (* 3/8 (/ 1 x))))) |
(*.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (+ 1/8 (* -1 (/ (- 3/8 (* 9/8 (/ 1 x))) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 9/8 binary64) x)) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (+ 1/8 (* -1 (/ (+ 3/8 (* -1 (/ (- 9/8 (* 13/8 (/ 1 x))) x))) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 (-.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 13/8 binary64) x)) x)) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 9 binary64))) |
(* 1/4 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4 binary64)) |
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 5/4 (/ 1 x))) x)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/4 binary64) x)) x)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/4 (* -1 (/ (+ 1/2 (* -1 (/ (- 5/4 (/ 1 x)) x))) x)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 5/4 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) (pow.f64 x #s(literal 6 binary64))) |
(* -1/2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) |
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x)) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) x) (sqrt.f64 #s(literal -1 binary64)))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 297 |
| 0 | 50 | 297 |
| 1 | 217 | 273 |
| 2 | 1691 | 272 |
| 0 | 8854 | 267 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(-.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) |
(pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 4 binary64)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) (*.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64))) x) (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)))))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 6 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64))))) #s(literal -1 binary64))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
Compiled 40 110 to 3 964 computations (90.1% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 733 | 2 | 735 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 5 | 5 |
| Total | 735 | 7 | 742 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 97.3% | (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ✓ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| ✓ | 99.5% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
| ✓ | 99.3% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
| ▶ | 98.8% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x)))))) |
| ▶ | 99.5% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))) |
| ✓ | 98.8% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
Compiled 160 to 111 computations (30.6% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x))) | |
| cost-diff | 0 | #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x)))) | |
| cost-diff | 0 | (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x))))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x)))))) | |
| cost-diff | 0 | (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) | |
| cost-diff | 0 | (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 426 |
| 0 | 59 | 426 |
| 1 | 100 | 421 |
| 2 | 183 | 421 |
| 3 | 603 | 421 |
| 4 | 3387 | 421 |
| 5 | 7640 | 421 |
| 0 | 8340 | 411 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))) |
#s(literal 2 binary64) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 3 binary64) |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x)))))) |
#s(literal 2 binary64) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x))))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal -1 binary64) x) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))) |
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 3 binary64) |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x)))))) |
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x))))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal -1 binary64) x) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0.01171875 | (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x))))) | |
| accuracy | 0.0390625 | (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x))) | |
| accuracy | 0.7742148655091521 | #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x)))) | |
| accuracy | 0.03125 | (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))) | |
| accuracy | 0.056015039073768064 | (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) | |
| accuracy | 0.308421644540127 | #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) | |
| accuracy | 0.32712547234256506 | #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
| 101.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 681 to 80 computations (88.3% saved)
ival-mult: 11.0ms (23.9% of total)ival-add: 10.0ms (21.7% of total)ival-div: 5.0ms (10.9% of total)ival-sub: 5.0ms (10.9% of total)ival-pow: 4.0ms (8.7% of total)ival-neg: 3.0ms (6.5% of total)ival-atan: 2.0ms (4.3% of total)ival-sqrt: 2.0ms (4.3% of total)ival-pow2: 2.0ms (4.3% of total)exact: 1.0ms (2.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x)))))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x))))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x))) |
#s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) |
#s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x)) |
| Outputs |
|---|
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/2 x)))))) |
(* -1 (pow x 3)) |
(* (pow x 3) (- (* 3/2 x) 1)) |
(* (pow x 3) (- (* x (+ 3/2 (* -9/4 x))) 1)) |
(* (pow x 3) (- (* x (+ 3/2 (* x (- (* 13/8 x) 9/4)))) 1)) |
-1 |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(* -1/2 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* 1/4 (pow x 6)) |
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x)))) |
(* (pow x 6) (- (+ 1/4 (/ 5/4 (pow x 2))) (* 1/2 (/ 1 x)))) |
(* (pow x 6) (- (+ 1/4 (/ 5/4 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))))) |
(* -1/8 (pow x 9)) |
(* (pow x 9) (- (* 3/8 (/ 1 x)) 1/8)) |
(* (pow x 9) (- (* 3/8 (/ 1 x)) (+ 1/8 (/ 9/8 (pow x 2))))) |
(* (pow x 9) (- (+ (* 3/8 (/ 1 x)) (* 13/8 (/ 1 (pow x 3)))) (+ 1/8 (/ 9/8 (pow x 2))))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(* -1/2 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* 1/4 (pow x 6)) |
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x)))) |
(* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 5/4 (/ 1 x))) x)))) |
(* (pow x 6) (+ 1/4 (* -1 (/ (+ 1/2 (* -1 (/ (- 5/4 (* 1/2 (/ 1 x))) x))) x)))) |
(* -1/8 (pow x 9)) |
(* -1 (* (pow x 9) (- 1/8 (* 3/8 (/ 1 x))))) |
(* -1 (* (pow x 9) (+ 1/8 (* -1 (/ (- 3/8 (* 9/8 (/ 1 x))) x))))) |
(* -1 (* (pow x 9) (+ 1/8 (* -1 (/ (+ 3/8 (* -1 (/ (- 9/8 (* 13/8 (/ 1 x))) x))) x))))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 3) 1) (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (+ (* x x) -1) (- (neg x) 1)) (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 3) (- (neg x) 1)) |
| 1.0ms | x | @ | -inf | ((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 3) 1) (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (+ (* x x) -1) (- (neg x) 1)) (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 3) (- (neg x) 1)) |
| 1.0ms | x | @ | 0 | ((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 3) 1) (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (+ (* x x) -1) (- (neg x) 1)) (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 3) (- (neg x) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 209 | 1356 |
| 1 | 606 | 1218 |
| 2 | 1816 | 1187 |
| 3 | 5921 | 1163 |
| 0 | 8481 | 1137 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/2 x)))))) |
(* -1 (pow x 3)) |
(* (pow x 3) (- (* 3/2 x) 1)) |
(* (pow x 3) (- (* x (+ 3/2 (* -9/4 x))) 1)) |
(* (pow x 3) (- (* x (+ 3/2 (* x (- (* 13/8 x) 9/4)))) 1)) |
-1 |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(* -1/2 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* 1/4 (pow x 6)) |
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x)))) |
(* (pow x 6) (- (+ 1/4 (/ 5/4 (pow x 2))) (* 1/2 (/ 1 x)))) |
(* (pow x 6) (- (+ 1/4 (/ 5/4 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))))) |
(* -1/8 (pow x 9)) |
(* (pow x 9) (- (* 3/8 (/ 1 x)) 1/8)) |
(* (pow x 9) (- (* 3/8 (/ 1 x)) (+ 1/8 (/ 9/8 (pow x 2))))) |
(* (pow x 9) (- (+ (* 3/8 (/ 1 x)) (* 13/8 (/ 1 (pow x 3)))) (+ 1/8 (/ 9/8 (pow x 2))))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(* -1/2 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* 1/4 (pow x 6)) |
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x)))) |
(* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 5/4 (/ 1 x))) x)))) |
(* (pow x 6) (+ 1/4 (* -1 (/ (+ 1/2 (* -1 (/ (- 5/4 (* 1/2 (/ 1 x))) x))) x)))) |
(* -1/8 (pow x 9)) |
(* -1 (* (pow x 9) (- 1/8 (* 3/8 (/ 1 x))))) |
(* -1 (* (pow x 9) (+ 1/8 (* -1 (/ (- 3/8 (* 9/8 (/ 1 x))) x))))) |
(* -1 (* (pow x 9) (+ 1/8 (* -1 (/ (+ 3/8 (* -1 (/ (- 9/8 (* 13/8 (/ 1 x))) x))) x))))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
| Outputs |
|---|
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/2 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -1 (pow x 3)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(* (pow x 3) (- (* 3/2 x) 1)) |
(*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* x (+ 3/2 (* -9/4 x))) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -9/4 binary64) x #s(literal 3/2 binary64)) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* x (+ 3/2 (* x (- (* 13/8 x) 9/4)))) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 13/8 binary64) x #s(literal -9/4 binary64)) x #s(literal 3/2 binary64)) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x)) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x))) |
(* -1/2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64)))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1))))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x)) |
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))) |
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* 1/4 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4 binary64)) |
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/4 (/ 5/4 (pow x 2))) (* 1/2 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/4 binary64) x)) x)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/4 (/ 5/4 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 5/4 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) x)) (pow.f64 x #s(literal 6 binary64))) |
(* -1/8 (pow x 9)) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/8 binary64)) |
(* (pow x 9) (- (* 3/8 (/ 1 x)) 1/8)) |
(*.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (- (* 3/8 (/ 1 x)) (+ 1/8 (/ 9/8 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 9/8 binary64) x)) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (- (+ (* 3/8 (/ 1 x)) (* 13/8 (/ 1 (pow x 3)))) (+ 1/8 (/ 9/8 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal 13/8 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 9/8 binary64) x)) x))) (pow.f64 x #s(literal 9 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x)) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) x) (sqrt.f64 #s(literal -1 binary64)))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) |
(* -1/2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) |
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x)) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) x) (sqrt.f64 #s(literal -1 binary64)))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* 1/4 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4 binary64)) |
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 5/4 (/ 1 x))) x)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/4 binary64) x)) x)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/4 (* -1 (/ (+ 1/2 (* -1 (/ (- 5/4 (* 1/2 (/ 1 x))) x))) x)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 5/4 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) x)) (pow.f64 x #s(literal 6 binary64))) |
(* -1/8 (pow x 9)) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/8 binary64)) |
(* -1 (* (pow x 9) (- 1/8 (* 3/8 (/ 1 x))))) |
(*.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (+ 1/8 (* -1 (/ (- 3/8 (* 9/8 (/ 1 x))) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 9/8 binary64) x)) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (+ 1/8 (* -1 (/ (+ 3/8 (* -1 (/ (- 9/8 (* 13/8 (/ 1 x))) x))) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 (-.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 13/8 binary64) x)) x)) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 9 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 359 |
| 0 | 59 | 359 |
| 1 | 254 | 354 |
| 2 | 1940 | 354 |
| 0 | 8866 | 349 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x)))))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x))))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x))) |
#s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) |
#s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x)) |
| Outputs |
|---|
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64))) #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))) #s(literal 2 binary64)) |
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(-.f64 (pow.f64 (neg.f64 #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (neg.f64 #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 2 binary64)) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) x) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) x) |
(*.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 x x)) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)) x) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)) x)) |
(*.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (*.f64 x (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64))) |
(*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)) x) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) |
(/.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) (neg.f64 x))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) (neg.f64 x))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 3 binary64))) |
(neg.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal 3/2 binary64) (*.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal 3/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (*.f64 (log.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) #s(literal 3 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)) x)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)))) |
#s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x)) |
Compiled 13 177 to 1 164 computations (91.2% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 274 | 1 | 275 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 5 | 5 |
| Total | 275 | 7 | 282 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 97.3% | (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ✓ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| ✓ | 99.5% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
| ✓ | 99.3% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
| ✓ | 98.8% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x)))))) |
| 99.5% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 #s(approx (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 3) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))) | |
| ✓ | 98.8% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
Compiled 468 to 199 computations (57.5% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 #s(approx (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 3) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (- (+ (pow (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 2) 1) (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
5 calls:
| 5.0ms | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 3.0ms | x |
| 3.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 3.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| 3.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 100.0% | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 100.0% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 100.0% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
Compiled 36 to 28 computations (22.2% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (neg x) 1) (-.f64 #s(literal -1 binary64) x)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
5 calls:
| 5.0ms | x |
| 2.0ms | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 2.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| 2.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 2.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 99.5% | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 99.5% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 99.5% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
Compiled 36 to 28 computations (22.2% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
5 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 2.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 1.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 1.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 99.3% | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 99.3% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 99.3% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
Compiled 36 to 28 computations (22.2% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
5 calls:
| 6.0ms | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 2.0ms | x |
| 1.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 1.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| 1.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | x |
| 98.8% | 1 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 98.8% | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 98.8% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 98.8% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
Compiled 36 to 28 computations (22.2% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
5 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 1.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 1.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 1.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 1 | x |
| 97.3% | 1 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 97.3% | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 97.3% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 97.3% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
Compiled 36 to 28 computations (22.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 71 |
| 1 | 43 | 71 |
| 2 | 46 | 71 |
| 3 | 48 | 71 |
| 4 | 49 | 71 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 0 | 15 | 34 |
| 1 | 52 | 34 |
| 2 | 339 | 34 |
| 3 | 4589 | 8 |
| 0 | 9824 | 8 |
| 0 | 107 | 541 |
| 1 | 276 | 480 |
| 2 | 764 | 466 |
| 3 | 2111 | 454 |
| 4 | 6140 | 448 |
| 0 | 8112 | 437 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 100 to 59 computations (41% saved)
Compiled 164 to 84 computations (48.8% saved)
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