
Time bar (total: 4.1s)
| 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)
| 749.0ms | 8 256× | 0 | valid |
| 1.0ms | 20× | 0 | invalid |
ival-sqrt: 141.0ms (23.9% of total)ival-sub: 110.0ms (18.6% of total)ival-atan: 99.0ms (16.8% of total)ival-add: 91.0ms (15.4% of total)ival-mult: 69.0ms (11.7% of total)ival-div: 61.0ms (10.3% of total)exact: 8.0ms (1.4% of total)ival-true: 6.0ms (1% of total)ival-assert: 4.0ms (0.7% of total)adjust: 3.0ms (0.5% 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 |
| 41.0ms | 512× | 0 | valid |
Compiled 103 to 31 computations (69.9% saved)
ival-atan: 5.0ms (20% of total)ival-sub: 5.0ms (20% of total)ival-sqrt: 4.0ms (16% of total)ival-div: 3.0ms (12% of total)ival-add: 3.0ms (12% of total)ival-mult: 3.0ms (12% of total)exact: 1.0ms (4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 26 |
| 1 | 25 | 26 |
| 2 | 41 | 26 |
| 3 | 92 | 26 |
| 4 | 308 | 22 |
| 5 | 1669 | 22 |
| 6 | 7125 | 22 |
| 0 | 9 | 11 |
| 0 | 15 | 11 |
| 1 | 24 | 11 |
| 2 | 32 | 11 |
| 3 | 69 | 11 |
| 4 | 240 | 11 |
| 5 | 1395 | 11 |
| 6 | 6091 | 11 |
| 0 | 8628 | 11 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 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 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #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)
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 | 32 | 44 |
| 3 | 69 | 44 |
| 4 | 240 | 44 |
| 5 | 1395 | 44 |
| 6 | 6091 | 44 |
| 0 | 8628 | 44 |
| 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))))) |
#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 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #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 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(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 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) |
(-.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 | 0.0 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) | |
| accuracy | 0.0078125 | (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 | 0.0234375 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| 19.0ms | 256× | 0 | valid |
Compiled 46 to 11 computations (76.1% saved)
ival-div: 2.0ms (17.5% of total)ival-mult: 2.0ms (17.5% of total)ival-atan: 2.0ms (17.5% of total)ival-sub: 2.0ms (17.5% of total)ival-sqrt: 2.0ms (17.5% of total)ival-add: 1.0ms (8.8% of total)adjust: 0.0ms (0% 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))))) |
(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 (* -2 x)) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -2 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 |
(- (* 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)))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(+ (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)) 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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 321 |
| 1 | 307 | 259 |
| 2 | 1212 | 231 |
| 3 | 7860 | 231 |
| 0 | 8120 | 219 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (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 (* -2 x)) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -2 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 |
(- (* 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)))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(+ (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)) 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 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))))) |
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 (* -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)) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+.f64 (/.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 (* x (sqrt -1))))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (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)))))) |
(+.f64 (+.f64 (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) x) x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) |
-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)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2)))) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 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)) |
(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) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (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 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 0 | 15 | 35 |
| 1 | 50 | 35 |
| 0 | 313 | 35 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 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 |
|---|
(atan2.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))) |
(*.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 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))) (-.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64))) (fma.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (-.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))))) |
(fma.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (*.f64 #s(literal 1 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))))) (*.f64 #s(literal 1 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))) |
(+.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64)) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))) |
(+.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) 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 (-.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) x)) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #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)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 x #s(literal -1 binary64))))) |
(-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
Compiled 1 112 to 266 computations (76.1% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 43 | 8 | 51 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 43 | 9 | 52 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) |
| ▶ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))))) |
| ▶ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 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))))) |
| 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))) | |
| 98.8% | (*.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))))) | |
| ▶ | 98.6% | (*.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))))) |
| 98.3% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) | |
| ▶ | 97.7% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64)))) |
Compiled 329 to 215 computations (34.7% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (atan.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))))) | |
| cost-diff | 11 | (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) | |
| cost-diff | 0 | (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 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 | #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64)))) | |
| cost-diff | 2 | (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))))) | |
| cost-diff | 6 | (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 8 | (-.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) | |
| cost-diff | 10 | (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 460 |
| 0 | 70 | 495 |
| 1 | 121 | 433 |
| 2 | 288 | 433 |
| 3 | 919 | 283 |
| 4 | 3947 | 281 |
| 0 | 8719 | 281 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))))))) |
#s(literal 2 binary64) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))))))) |
(sqrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(-.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
(+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64)))) |
#s(literal 2 binary64) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 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 #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 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) |
#s(literal 2 binary64) |
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))))) |
#s(literal 2 binary64) |
(atan.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(literal 1/4 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
(sqrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))))) |
(sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) |
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
(+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64)))) |
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 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 #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 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) |
(*.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(atan.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))) |
(sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) |
(/.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 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(literal 1/4 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (atan.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)))) | |
| accuracy | 0.01171875 | (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) | |
| accuracy | 0.0234375 | (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) | |
| accuracy | 0.0234375 | (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))) | |
| accuracy | 0.0078125 | (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) | |
| accuracy | 0.01171875 | (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) | |
| accuracy | 0.01171875 | (sqrt.f64 (-.f64 x #s(literal -1 binary64))) | |
| accuracy | 0.01171875 | (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.0 | (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) | |
| accuracy | 0.0 | (*.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 | 0.0078125 | (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 | 0.8951084164563734 | #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 | 0.0 | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64)))) | |
| accuracy | 0.0078125 | (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))) | |
| accuracy | 1.5072265336633417 | #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64)) | |
| accuracy | 0.01171875 | (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) | |
| accuracy | 0.01171875 | (sqrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))))) | |
| accuracy | 0.02734375 | (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64)))) | |
| accuracy | 0.03515625 | (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
| 93.0ms | 256× | 0 | valid |
Compiled 435 to 39 computations (91% saved)
ival-add: 17.0ms (23.9% of total)ival-mult: 14.0ms (19.7% of total)ival-pow: 13.0ms (18.3% of total)ival-atan: 9.0ms (12.7% of total)ival-div: 7.0ms (9.8% of total)ival-sqrt: 6.0ms (8.4% of total)ival-sub: 4.0ms (5.6% of total)exact: 1.0ms (1.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(-.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 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))))) |
(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 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) |
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))))) |
(atan.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) |
(*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(sqrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) |
| Outputs |
|---|
1 |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(+ 1 (* x (- (* 3 x) 2))) |
(+ 1 (* x (- (* x (+ 3 (* -4 x))) 2))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* -1/8 x) 1/2))) |
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))) |
(+ 1 (* x (- (* 1/8 x) 1/2))) |
(+ 1 (* x (- (* x (+ 1/8 (* -3/16 x))) 1/2))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -2 x))) |
(* (pow x 2) (+ 1 (* x (- (* 3 x) 2)))) |
(* (pow x 2) (+ 1 (* x (- (* x (+ 3 (* -4 x))) 2)))) |
-1 |
(- (* 1/2 x) 1) |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(- (* 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)))) |
(/ 1 (pow x 2)) |
(/ (- 1 (* 2 (/ 1 x))) (pow x 2)) |
(/ (- (+ 1 (/ 3 (pow x 2))) (* 2 (/ 1 x))) (pow x 2)) |
(/ (- (+ 1 (/ 3 (pow x 2))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3))))) (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)))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(* (sqrt x) (sqrt -1)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(pow -1 1/4) |
(+ (* -1/2 (* (pow -1 1/4) (/ 1 x))) (pow -1 1/4)) |
(+ (* -1/2 (* (pow -1 1/4) (/ 1 x))) (+ (* 1/8 (* (pow -1 1/4) (/ 1 (pow x 2)))) (pow -1 1/4))) |
(+ (* -1/2 (* (pow -1 1/4) (/ 1 x))) (+ (* -3/16 (* (pow -1 1/4) (/ 1 (pow x 3)))) (+ (* 1/8 (* (pow -1 1/4) (/ 1 (pow x 2)))) (pow -1 1/4)))) |
(- 1 (* 2 (/ 1 x))) |
(- (+ 1 (/ 3 (pow x 2))) (* 2 (/ 1 x))) |
(- (+ 1 (/ 3 (pow x 2))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3))))) |
(* 1/2 x) |
(* x (- 1/2 (/ 1 x))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1) |
(/ (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 x))) x))) (pow x 2)) |
(/ (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 x))) x))) x))) (pow x 2)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(+ (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))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(+ (* -1 (/ (+ (* -1/8 (* (pow -1 1/4) (/ 1 x))) (* 1/2 (pow -1 1/4))) x)) (pow -1 1/4)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -3/16 (* (pow -1 1/4) (/ 1 x))) (* 1/8 (pow -1 1/4))) x)) (* 1/2 (pow -1 1/4))) x)) (pow -1 1/4)) |
(+ 1 (* -1 (/ (- 2 (* 3 (/ 1 x))) x))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 x))) x))) x))) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((+ (pow (- x -1) -1) (/ x (- x -1))) (- (* (pow (- x -1) -1) (pow (- x -1) -1)) (* (/ x (- x -1)) (/ x (- x -1)))) (* (pow (- x -1) -1) (pow (- x -1) -1)) (/ (- (* (pow (- x -1) -1) (pow (- x -1) -1)) (* (/ x (- x -1)) (/ x (- x -1)))) (+ (pow (- x -1) -1) (/ x (- x -1)))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 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)) (sqrt (- x -1))))) (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt (- 1 x)) (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) (* 2 (atan (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)))) (atan (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4))) (pow (/ (- 1 x) (- x -1)) 1/4) (* (/ x (- x -1)) (/ x (- x -1))) (sqrt (/ (- (* (pow (- x -1) -1) (pow (- x -1) -1)) (* (/ x (- x -1)) (/ x (- x -1)))) (+ (pow (- x -1) -1) (/ x (- x -1))))) (+ (* 1/2 x) -1) (sqrt (- x -1)) (/ (- 1 x) (- x -1))) |
| 4.0ms | x | @ | -inf | ((+ (pow (- x -1) -1) (/ x (- x -1))) (- (* (pow (- x -1) -1) (pow (- x -1) -1)) (* (/ x (- x -1)) (/ x (- x -1)))) (* (pow (- x -1) -1) (pow (- x -1) -1)) (/ (- (* (pow (- x -1) -1) (pow (- x -1) -1)) (* (/ x (- x -1)) (/ x (- x -1)))) (+ (pow (- x -1) -1) (/ x (- x -1)))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 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)) (sqrt (- x -1))))) (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt (- 1 x)) (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) (* 2 (atan (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)))) (atan (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4))) (pow (/ (- 1 x) (- x -1)) 1/4) (* (/ x (- x -1)) (/ x (- x -1))) (sqrt (/ (- (* (pow (- x -1) -1) (pow (- x -1) -1)) (* (/ x (- x -1)) (/ x (- x -1)))) (+ (pow (- x -1) -1) (/ x (- x -1))))) (+ (* 1/2 x) -1) (sqrt (- x -1)) (/ (- 1 x) (- x -1))) |
| 3.0ms | x | @ | 0 | ((+ (pow (- x -1) -1) (/ x (- x -1))) (- (* (pow (- x -1) -1) (pow (- x -1) -1)) (* (/ x (- x -1)) (/ x (- x -1)))) (* (pow (- x -1) -1) (pow (- x -1) -1)) (/ (- (* (pow (- x -1) -1) (pow (- x -1) -1)) (* (/ x (- x -1)) (/ x (- x -1)))) (+ (pow (- x -1) -1) (/ x (- x -1)))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 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)) (sqrt (- x -1))))) (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt (- 1 x)) (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) (* 2 (atan (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)))) (atan (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4))) (pow (/ (- 1 x) (- x -1)) 1/4) (* (/ x (- x -1)) (/ x (- x -1))) (sqrt (/ (- (* (pow (- x -1) -1) (pow (- x -1) -1)) (* (/ x (- x -1)) (/ x (- x -1)))) (+ (pow (- x -1) -1) (/ x (- x -1))))) (+ (* 1/2 x) -1) (sqrt (- x -1)) (/ (- 1 x) (- x -1))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 302 | 1230 |
| 1 | 940 | 1092 |
| 2 | 3682 | 1029 |
| 0 | 8328 | 959 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(+ 1 (* x (- (* 3 x) 2))) |
(+ 1 (* x (- (* x (+ 3 (* -4 x))) 2))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* -1/8 x) 1/2))) |
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))) |
(+ 1 (* x (- (* 1/8 x) 1/2))) |
(+ 1 (* x (- (* x (+ 1/8 (* -3/16 x))) 1/2))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -2 x))) |
(* (pow x 2) (+ 1 (* x (- (* 3 x) 2)))) |
(* (pow x 2) (+ 1 (* x (- (* x (+ 3 (* -4 x))) 2)))) |
-1 |
(- (* 1/2 x) 1) |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(- (* 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)))) |
(/ 1 (pow x 2)) |
(/ (- 1 (* 2 (/ 1 x))) (pow x 2)) |
(/ (- (+ 1 (/ 3 (pow x 2))) (* 2 (/ 1 x))) (pow x 2)) |
(/ (- (+ 1 (/ 3 (pow x 2))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3))))) (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)))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(* (sqrt x) (sqrt -1)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(pow -1 1/4) |
(+ (* -1/2 (* (pow -1 1/4) (/ 1 x))) (pow -1 1/4)) |
(+ (* -1/2 (* (pow -1 1/4) (/ 1 x))) (+ (* 1/8 (* (pow -1 1/4) (/ 1 (pow x 2)))) (pow -1 1/4))) |
(+ (* -1/2 (* (pow -1 1/4) (/ 1 x))) (+ (* -3/16 (* (pow -1 1/4) (/ 1 (pow x 3)))) (+ (* 1/8 (* (pow -1 1/4) (/ 1 (pow x 2)))) (pow -1 1/4)))) |
(- 1 (* 2 (/ 1 x))) |
(- (+ 1 (/ 3 (pow x 2))) (* 2 (/ 1 x))) |
(- (+ 1 (/ 3 (pow x 2))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3))))) |
(* 1/2 x) |
(* x (- 1/2 (/ 1 x))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1) |
(/ (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 x))) x))) (pow x 2)) |
(/ (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 x))) x))) x))) (pow x 2)) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(+ (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))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(+ (* -1 (/ (+ (* -1/8 (* (pow -1 1/4) (/ 1 x))) (* 1/2 (pow -1 1/4))) x)) (pow -1 1/4)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -3/16 (* (pow -1 1/4) (/ 1 x))) (* 1/8 (pow -1 1/4))) x)) (* 1/2 (pow -1 1/4))) x)) (pow -1 1/4)) |
(+ 1 (* -1 (/ (- 2 (* 3 (/ 1 x))) x))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 x))) x))) x))) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
| Outputs |
|---|
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)) |
(+ 1 (* x (- (* 3 x) 2))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 3 (* -4 x))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 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)) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(+ 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 (* -1/2 x)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -1/8 x) 1/2))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 1/8 x) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/8 (* -3/16 x))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -3/16 binary64) x #s(literal 1/8 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (* x (- (* 3 x) 2)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)) x #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (* x (- (* x (+ 3 (* -4 x))) 2)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) x #s(literal -2 binary64)) x #s(literal 1 binary64)) x) x) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 x) 1) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x #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 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) |
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2)))) |
(+.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(/ 1 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/ (- 1 (* 2 (/ 1 x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x) x) |
(/ (- (+ 1 (/ 3 (pow x 2))) (* 2 (/ 1 x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) x)) x)) (*.f64 x x)) |
(/ (- (+ 1 (/ 3 (pow x 2))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3))))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x)) x) x) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+.f64 (/.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 (* x (sqrt -1))))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (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)))))) |
(+.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) x)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) (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 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) x) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) |
(* (sqrt x) (sqrt -1)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) x) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) x) |
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) x) |
(pow -1 1/4) |
(pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) |
(+ (* -1/2 (* (pow -1 1/4) (/ 1 x))) (pow -1 1/4)) |
(fma.f64 (/.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) x) #s(literal -1/2 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))) |
(+ (* -1/2 (* (pow -1 1/4) (/ 1 x))) (+ (* 1/8 (* (pow -1 1/4) (/ 1 (pow x 2)))) (pow -1 1/4))) |
(+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) x) #s(literal 1/8 binary64) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))) |
(+ (* -1/2 (* (pow -1 1/4) (/ 1 x))) (+ (* -3/16 (* (pow -1 1/4) (/ 1 (pow x 3)))) (+ (* 1/8 (* (pow -1 1/4) (/ 1 (pow x 2)))) (pow -1 1/4)))) |
(fma.f64 (/.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -3/16 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) x) #s(literal 1/8 binary64) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)))) |
(- 1 (* 2 (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (+ 1 (/ 3 (pow x 2))) (* 2 (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) x)) x)) |
(- (+ 1 (/ 3 (pow x 2))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (- 1/2 (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(sqrt x) |
(sqrt.f64 x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) |
(/ (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 x))) x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) x)) x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 x))) x))) x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x)) 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)) |
(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) (* -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 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 #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 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) x) |
(* -1 (* (sqrt x) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(+ (* -1 (/ (+ (* -1/8 (* (pow -1 1/4) (/ 1 x))) (* 1/2 (pow -1 1/4))) x)) (pow -1 1/4)) |
(+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) x) #s(literal 1/8 binary64) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -3/16 (* (pow -1 1/4) (/ 1 x))) (* 1/8 (pow -1 1/4))) x)) (* 1/2 (pow -1 1/4))) x)) (pow -1 1/4)) |
(fma.f64 (/.f64 (fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/16 binary64) (/.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) x) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) #s(literal -1/8 binary64))) x)) x) #s(literal -1 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))) |
(+ 1 (* -1 (/ (- 2 (* 3 (/ 1 x))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) x)) x)) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 x))) x))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x)) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) x))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64)))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64))))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 340 |
| 0 | 66 | 267 |
| 0 | 230 | 267 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(-.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 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))))) |
(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 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) |
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))))) |
(atan.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) |
(*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(sqrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) |
| Outputs |
|---|
(/.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) 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)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(+.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (+.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (*.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (fma.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))))) |
(fma.f64 (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (fabs.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (fabs.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (fabs.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.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 x (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64)))) |
(+.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))) |
#s(approx (sqrt (/ (- 1 x) (+ 1 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))) (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)))) (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))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.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 x (fma.f64 #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 binary64)) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #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 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))))) |
(+.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))) |
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))) |
(pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))) |
(+.f64 (atan.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) (atan.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))) |
(atan.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/8 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/8 binary64))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))) #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (fabs.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) (fabs.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) |
(-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
Compiled 5 145 to 909 computations (82.3% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 162 | 2 | 164 |
| Fresh | 0 | 3 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 164 | 9 | 173 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
| ✓ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) |
| ▶ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 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))))) |
| ▶ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))) |
| ▶ | 98.8% | (*.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))))) |
| ✓ | 98.6% | (*.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))))) |
| ▶ | 98.3% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
| ✓ | 97.7% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64)))) |
Compiled 257 to 180 computations (30% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) | |
| cost-diff | 3 | (pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))) | |
| cost-diff | 1 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) | |
| 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 | (-.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)))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))))))) | |
| cost-diff | 1 | (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) | |
| cost-diff | 2 | (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))))) | |
| cost-diff | 10 | (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 464 |
| 0 | 79 | 504 |
| 1 | 131 | 462 |
| 2 | 260 | 459 |
| 3 | 724 | 459 |
| 4 | 2485 | 397 |
| 0 | 8290 | 388 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))))))) |
#s(literal 2 binary64) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))))))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(literal -2 binary64) |
(*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
(+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.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 (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 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))) |
#s(literal 2 binary64) |
(atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
#s(literal 2 binary64) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(literal 1/4 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))))))) |
(atan.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))))) |
(sqrt.f64 (/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal -1 binary64))) x (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) |
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(literal -2 binary64) |
(*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
(+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
#s(literal 1 binary64) |
(pow.f64 (-.f64 x #s(literal -1 binary64)) #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(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 (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 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))) |
(atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))) |
(sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(literal 1/4 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) | |
| accuracy | 0.01171875 | (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) | |
| accuracy | 0.0234375 | (pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0.0234375 | (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) | |
| accuracy | 0.0078125 | (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| accuracy | 0.01171875 | (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.03125 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.0 | (*.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 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (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 | 0.7588991743337452 | #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 | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.0078125 | (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) | |
| accuracy | 1.0633343501255643 | #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.01171875 | (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) | |
| accuracy | 0.01171875 | (sqrt.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))))) | |
| accuracy | 0.0234375 | (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) | |
| accuracy | 0.02734375 | (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
| 133.0ms | 256× | 0 | valid |
Compiled 427 to 45 computations (89.5% saved)
ival-sub: 40.0ms (41.3% of total)ival-mult: 15.0ms (15.5% of total)ival-pow: 10.0ms (10.3% of total)ival-atan: 9.0ms (9.3% of total)ival-div: 7.0ms (7.2% of total)ival-add: 6.0ms (6.2% of total)ival-sqrt: 5.0ms (5.2% of total)ival-pow2: 3.0ms (3.1% of total)exact: 1.0ms (1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 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)))) |
(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 (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 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))) |
(atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) |
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) |
(*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) |
| Outputs |
|---|
1 |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(* 2 (atan (sqrt (/ (- (/ 1 (pow (+ 1 x) 2)) (/ (pow x 2) (pow (+ 1 x) 2))) (+ (/ 1 (+ 1 x)) (/ x (+ 1 x))))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(* 2 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2))))))) |
(atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 1/8 x) 1/2))) |
(+ 1 (* x (- (* x (+ 1/8 (* -3/16 x))) 1/2))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -2 x))) |
(* (pow x 2) (+ 1 (* x (- (* 3 x) 2)))) |
(* (pow x 2) (+ 1 (* x (- (* x (+ 3 (* -4 x))) 2)))) |
(+ 1 (* x (- (* 3 x) 2))) |
(+ 1 (* x (- (* x (+ 3 (* -4 x))) 2))) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 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)))) |
(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)) |
(* -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 (sqrt -1)) |
(+ (* -1 (sqrt -1)) (/ (sqrt -1) x)) |
(+ (* -1 (sqrt -1)) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ (sqrt -1) x))) |
(- (+ (* -1 (sqrt -1)) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) x))) (* 1/2 (/ 1 (* (pow x 3) (sqrt -1))))) |
(pow -1 1/4) |
(+ (* -1/2 (* (pow -1 1/4) (/ 1 x))) (pow -1 1/4)) |
(+ (* -1/2 (* (pow -1 1/4) (/ 1 x))) (+ (* 1/8 (* (pow -1 1/4) (/ 1 (pow x 2)))) (pow -1 1/4))) |
(+ (* -1/2 (* (pow -1 1/4) (/ 1 x))) (+ (* -3/16 (* (pow -1 1/4) (/ 1 (pow x 3)))) (+ (* 1/8 (* (pow -1 1/4) (/ 1 (pow x 2)))) (pow -1 1/4)))) |
(- 1 (* 2 (/ 1 x))) |
(- (+ 1 (/ 3 (pow x 2))) (* 2 (/ 1 x))) |
(- (+ 1 (/ 3 (pow x 2))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3))))) |
(/ 1 (pow x 2)) |
(/ (- 1 (* 2 (/ 1 x))) (pow x 2)) |
(/ (- (+ 1 (/ 3 (pow x 2))) (* 2 (/ 1 x))) (pow x 2)) |
(/ (- (+ 1 (/ 3 (pow x 2))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3))))) (pow x 2)) |
(/ 1 x) |
(/ (- 1 (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1) |
(* 2 (atan (sqrt (/ (- (/ 1 (pow (- 1 (* -1 x)) 2)) (/ (pow x 2) (pow (- 1 (* -1 x)) 2))) (- (/ 1 (- 1 (* -1 x))) (* -1 (/ x (- 1 (* -1 x))))))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(+ (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 (/ 1 x)))) |
(* -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 (* (+ 1 (* -1 x)) (sqrt (/ 1 (- 1 (pow x 2))))))) |
(atan (* (+ 1 (* -1 x)) (sqrt (/ 1 (- 1 (pow x 2)))))) |
(+ (sqrt -1) (* -1 (/ (sqrt -1) x))) |
(+ (sqrt -1) (* -1 (/ (+ (sqrt -1) (* 1/2 (/ 1 (* x (sqrt -1))))) x))) |
(+ (sqrt -1) (* -1 (/ (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) x))) x))) |
(+ (* -1 (/ (+ (* -1/8 (* (pow -1 1/4) (/ 1 x))) (* 1/2 (pow -1 1/4))) x)) (pow -1 1/4)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -3/16 (* (pow -1 1/4) (/ 1 x))) (* 1/8 (pow -1 1/4))) x)) (* 1/2 (pow -1 1/4))) x)) (pow -1 1/4)) |
(+ 1 (* -1 (/ (- 2 (* 3 (/ 1 x))) x))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 x))) x))) x))) |
(/ (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 x))) x))) (pow x 2)) |
(/ (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 x))) x))) x))) (pow x 2)) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | x | @ | inf | ((+ (pow (- x -1) -1) (/ x (- x -1))) (/ (- (pow (- x -1) -2) (* (/ x (- x -1)) (/ x (- x -1)))) (+ (pow (- x -1) -1) (/ x (- x -1)))) (- (pow (- x -1) -2) (* (/ x (- x -1)) (/ x (- x -1)))) (* 2 (atan (sqrt (/ (- (pow (- x -1) -2) (* (/ x (- x -1)) (/ x (- x -1)))) (+ (pow (- x -1) -1) (/ x (- x -1))))))) (* 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) 1/2) x) -1) x) 1) (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)) (* 2 (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x))) (pow (pow (/ (- 1 x) (- x -1)) 1/4) 2) (* 2 (atan (pow (pow (/ (- 1 x) (- x -1)) 1/4) 2))) (atan (pow (pow (/ (- 1 x) (- x -1)) 1/4) 2)) (pow (/ (- 1 x) (- x -1)) 1/4) (* (/ x (- x -1)) (/ x (- x -1))) (pow (- x -1) -2) (sqrt (/ (- (pow (- x -1) -2) (* (/ x (- x -1)) (/ x (- x -1)))) (+ (pow (- x -1) -1) (/ x (- x -1))))) (/ (- 1 x) (- 1 (* x x))) (/ (- 1 x) (- x -1))) |
| 3.0ms | x | @ | -inf | ((+ (pow (- x -1) -1) (/ x (- x -1))) (/ (- (pow (- x -1) -2) (* (/ x (- x -1)) (/ x (- x -1)))) (+ (pow (- x -1) -1) (/ x (- x -1)))) (- (pow (- x -1) -2) (* (/ x (- x -1)) (/ x (- x -1)))) (* 2 (atan (sqrt (/ (- (pow (- x -1) -2) (* (/ x (- x -1)) (/ x (- x -1)))) (+ (pow (- x -1) -1) (/ x (- x -1))))))) (* 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) 1/2) x) -1) x) 1) (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)) (* 2 (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x))) (pow (pow (/ (- 1 x) (- x -1)) 1/4) 2) (* 2 (atan (pow (pow (/ (- 1 x) (- x -1)) 1/4) 2))) (atan (pow (pow (/ (- 1 x) (- x -1)) 1/4) 2)) (pow (/ (- 1 x) (- x -1)) 1/4) (* (/ x (- x -1)) (/ x (- x -1))) (pow (- x -1) -2) (sqrt (/ (- (pow (- x -1) -2) (* (/ x (- x -1)) (/ x (- x -1)))) (+ (pow (- x -1) -1) (/ x (- x -1))))) (/ (- 1 x) (- 1 (* x x))) (/ (- 1 x) (- x -1))) |
| 2.0ms | x | @ | 0 | ((+ (pow (- x -1) -1) (/ x (- x -1))) (/ (- (pow (- x -1) -2) (* (/ x (- x -1)) (/ x (- x -1)))) (+ (pow (- x -1) -1) (/ x (- x -1)))) (- (pow (- x -1) -2) (* (/ x (- x -1)) (/ x (- x -1)))) (* 2 (atan (sqrt (/ (- (pow (- x -1) -2) (* (/ x (- x -1)) (/ x (- x -1)))) (+ (pow (- x -1) -1) (/ x (- x -1))))))) (* 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) 1/2) x) -1) x) 1) (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)) (* 2 (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x))) (pow (pow (/ (- 1 x) (- x -1)) 1/4) 2) (* 2 (atan (pow (pow (/ (- 1 x) (- x -1)) 1/4) 2))) (atan (pow (pow (/ (- 1 x) (- x -1)) 1/4) 2)) (pow (/ (- 1 x) (- x -1)) 1/4) (* (/ x (- x -1)) (/ x (- x -1))) (pow (- x -1) -2) (sqrt (/ (- (pow (- x -1) -2) (* (/ x (- x -1)) (/ x (- x -1)))) (+ (pow (- x -1) -1) (/ x (- x -1))))) (/ (- 1 x) (- 1 (* x x))) (/ (- 1 x) (- x -1))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 302 | 1117 |
| 1 | 893 | 1003 |
| 2 | 3290 | 923 |
| 0 | 8367 | 885 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(* 2 (atan (sqrt (/ (- (/ 1 (pow (+ 1 x) 2)) (/ (pow x 2) (pow (+ 1 x) 2))) (+ (/ 1 (+ 1 x)) (/ x (+ 1 x))))))) |
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) |
(atan (sqrt (/ (- 1 x) (+ 1 x)))) |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(* 2 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2))))))) |
(atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 1/8 x) 1/2))) |
(+ 1 (* x (- (* x (+ 1/8 (* -3/16 x))) 1/2))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -2 x))) |
(* (pow x 2) (+ 1 (* x (- (* 3 x) 2)))) |
(* (pow x 2) (+ 1 (* x (- (* x (+ 3 (* -4 x))) 2)))) |
(+ 1 (* x (- (* 3 x) 2))) |
(+ 1 (* x (- (* x (+ 3 (* -4 x))) 2))) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 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)))) |
(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)) |
(* -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 (sqrt -1)) |
(+ (* -1 (sqrt -1)) (/ (sqrt -1) x)) |
(+ (* -1 (sqrt -1)) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ (sqrt -1) x))) |
(- (+ (* -1 (sqrt -1)) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) x))) (* 1/2 (/ 1 (* (pow x 3) (sqrt -1))))) |
(pow -1 1/4) |
(+ (* -1/2 (* (pow -1 1/4) (/ 1 x))) (pow -1 1/4)) |
(+ (* -1/2 (* (pow -1 1/4) (/ 1 x))) (+ (* 1/8 (* (pow -1 1/4) (/ 1 (pow x 2)))) (pow -1 1/4))) |
(+ (* -1/2 (* (pow -1 1/4) (/ 1 x))) (+ (* -3/16 (* (pow -1 1/4) (/ 1 (pow x 3)))) (+ (* 1/8 (* (pow -1 1/4) (/ 1 (pow x 2)))) (pow -1 1/4)))) |
(- 1 (* 2 (/ 1 x))) |
(- (+ 1 (/ 3 (pow x 2))) (* 2 (/ 1 x))) |
(- (+ 1 (/ 3 (pow x 2))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3))))) |
(/ 1 (pow x 2)) |
(/ (- 1 (* 2 (/ 1 x))) (pow x 2)) |
(/ (- (+ 1 (/ 3 (pow x 2))) (* 2 (/ 1 x))) (pow x 2)) |
(/ (- (+ 1 (/ 3 (pow x 2))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3))))) (pow x 2)) |
(/ 1 x) |
(/ (- 1 (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1) |
(* 2 (atan (sqrt (/ (- (/ 1 (pow (- 1 (* -1 x)) 2)) (/ (pow x 2) (pow (- 1 (* -1 x)) 2))) (- (/ 1 (- 1 (* -1 x))) (* -1 (/ x (- 1 (* -1 x))))))))) |
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))) |
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))) |
(+ (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 (/ 1 x)))) |
(* -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 (* (+ 1 (* -1 x)) (sqrt (/ 1 (- 1 (pow x 2))))))) |
(atan (* (+ 1 (* -1 x)) (sqrt (/ 1 (- 1 (pow x 2)))))) |
(+ (sqrt -1) (* -1 (/ (sqrt -1) x))) |
(+ (sqrt -1) (* -1 (/ (+ (sqrt -1) (* 1/2 (/ 1 (* x (sqrt -1))))) x))) |
(+ (sqrt -1) (* -1 (/ (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) x))) x))) |
(+ (* -1 (/ (+ (* -1/8 (* (pow -1 1/4) (/ 1 x))) (* 1/2 (pow -1 1/4))) x)) (pow -1 1/4)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -3/16 (* (pow -1 1/4) (/ 1 x))) (* 1/8 (pow -1 1/4))) x)) (* 1/2 (pow -1 1/4))) x)) (pow -1 1/4)) |
(+ 1 (* -1 (/ (- 2 (* 3 (/ 1 x))) x))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 x))) x))) x))) |
(/ (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 x))) x))) (pow x 2)) |
(/ (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 x))) x))) x))) (pow x 2)) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
| Outputs |
|---|
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 (pow (+ 1 x) 2)) (/ (pow x 2) (pow (+ 1 x) 2))) (+ (/ 1 (+ 1 x)) (/ x (+ 1 x))))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 x (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #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 #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)))) |
(+ 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 (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2))))))) |
(*.f64 (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
(atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))) |
(+ 1 (* -1/2 x)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 1/8 x) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/8 (* -3/16 x))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -3/16 binary64) x #s(literal 1/8 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (* x (- (* 3 x) 2)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)) x #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (* x (- (* x (+ 3 (* -4 x))) 2)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) x #s(literal -2 binary64)) x #s(literal 1 binary64)) x) x) |
(+ 1 (* x (- (* 3 x) 2))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 3 (* -4 x))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) x #s(literal -2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) x #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)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2)))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+.f64 (/.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 (* x (sqrt -1))))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (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)))))) |
(+.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) 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 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.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 (sqrt -1)) |
(neg.f64 (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1 (sqrt -1)) (/ (sqrt -1) x)) |
(-.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1 (sqrt -1)) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ (sqrt -1) x))) |
(-.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x) (sqrt.f64 #s(literal -1 binary64))) |
(- (+ (* -1 (sqrt -1)) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) x))) (* 1/2 (/ 1 (* (pow x 3) (sqrt -1))))) |
(-.f64 (-.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))) |
(pow -1 1/4) |
(pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) |
(+ (* -1/2 (* (pow -1 1/4) (/ 1 x))) (pow -1 1/4)) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(+ (* -1/2 (* (pow -1 1/4) (/ 1 x))) (+ (* 1/8 (* (pow -1 1/4) (/ 1 (pow x 2)))) (pow -1 1/4))) |
(fma.f64 (/.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) x) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))) |
(+ (* -1/2 (* (pow -1 1/4) (/ 1 x))) (+ (* -3/16 (* (pow -1 1/4) (/ 1 (pow x 3)))) (+ (* 1/8 (* (pow -1 1/4) (/ 1 (pow x 2)))) (pow -1 1/4)))) |
(fma.f64 (/.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -3/16 binary64) (fma.f64 (/.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) x) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)))) |
(- 1 (* 2 (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (+ 1 (/ 3 (pow x 2))) (* 2 (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) x)) x)) |
(- (+ 1 (/ 3 (pow x 2))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x)) |
(/ 1 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/ (- 1 (* 2 (/ 1 x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x) x) |
(/ (- (+ 1 (/ 3 (pow x 2))) (* 2 (/ 1 x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) x)) x)) (*.f64 x x)) |
(/ (- (+ 1 (/ 3 (pow x 2))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3))))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x)) x) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (/ 1 x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) x) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) |
(* 2 (atan (sqrt (/ (- (/ 1 (pow (- 1 (* -1 x)) 2)) (/ (pow x 2) (pow (- 1 (* -1 x)) 2))) (- (/ 1 (- 1 (* -1 x))) (* -1 (/ x (- 1 (* -1 x))))))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 x (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #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 #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)))) |
(+ (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 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 #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 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) |
(* -1 (* x (- 1 (/ 1 x)))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(* -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 (* (+ 1 (* -1 x)) (sqrt (/ 1 (- 1 (pow x 2))))))) |
(*.f64 (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
(atan (* (+ 1 (* -1 x)) (sqrt (/ 1 (- 1 (pow x 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))) |
(+ (sqrt -1) (* -1 (/ (sqrt -1) x))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)) |
(+ (sqrt -1) (* -1 (/ (+ (sqrt -1) (* 1/2 (/ 1 (* x (sqrt -1))))) x))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x)) |
(+ (sqrt -1) (* -1 (/ (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) x))) x))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) x)) x)) |
(+ (* -1 (/ (+ (* -1/8 (* (pow -1 1/4) (/ 1 x))) (* 1/2 (pow -1 1/4))) x)) (pow -1 1/4)) |
(fma.f64 (/.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) x) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -3/16 (* (pow -1 1/4) (/ 1 x))) (* 1/8 (pow -1 1/4))) x)) (* 1/2 (pow -1 1/4))) x)) (pow -1 1/4)) |
(+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) x) (-.f64 (/.f64 #s(literal -3/16 binary64) x) #s(literal -1/8 binary64)) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))) |
(+ 1 (* -1 (/ (- 2 (* 3 (/ 1 x))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) x)) x)) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 x))) x))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x)) |
(/ (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 x))) x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) x)) x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 x))) x))) x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x)) x) x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 371 |
| 0 | 79 | 438 |
| 1 | 273 | 260 |
| 0 | 2157 | 260 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 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)))) |
(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 (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 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))) |
(atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) |
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) |
(*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 x (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))))) |
(/.f64 (fma.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 x))) (*.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) x)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -4 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -6 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 6 binary64))) (*.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 4 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (/.f64 x (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 x (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.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 x (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
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(fma.f64 (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
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(exp.f64 (fma.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) #s(literal 1/4 binary64) (*.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) #s(literal 1/4 binary64)))) |
(exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (*.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 #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)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) 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 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64)))) (+.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 x (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.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 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.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 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))) (+.f64 (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 x (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) 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 (neg.f64 (-.f64 #s(literal 1 binary64) 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) 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) 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) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 x))) (*.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) x)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -4 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -6 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 6 binary64))) (*.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 4 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -4 binary64))) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 #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)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (neg.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64)))) (+.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 x (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (/.f64 (neg.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) (/.f64 (neg.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (/.f64 (neg.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))) |
(-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (/.f64 (neg.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))) |
Compiled 13 773 to 2 275 computations (83.5% saved)
9 alts after pruning (3 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 417 | 3 | 420 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 420 | 9 | 429 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 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))))) |
| ▶ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))))) |
| ▶ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x))))) |
| ✓ | 98.8% | (*.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))))) |
| ✓ | 98.6% | (*.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))))) |
| ✓ | 98.3% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
| ✓ | 97.7% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64)))) |
| ▶ | 100.0% | (*.f64 #s(literal 2 binary64) #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))))) |
Compiled 157 to 120 computations (23.6% saved)
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))))) | |
| cost-diff | 1 | (+.f64 #s(literal -1 binary64) (*.f64 x x)) | |
| cost-diff | 1 | (neg.f64 (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 5 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x)))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x))))) | |
| cost-diff | 2 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 3 | (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) | |
| cost-diff | 0 | (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))))) | |
| cost-diff | 1 | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 281 |
| 0 | 56 | 271 |
| 1 | 101 | 271 |
| 2 | 203 | 271 |
| 3 | 673 | 209 |
| 4 | 3121 | 209 |
| 0 | 8674 | 209 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))))) |
#s(literal 2 binary64) |
#s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x)))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x))))) |
#s(literal 2 binary64) |
(atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x)))) |
(sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(+.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))))) |
#s(literal 2 binary64) |
(atan.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x x))))) |
(sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(neg.f64 (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal -1 binary64) (*.f64 x x)) |
#s(literal -1 binary64) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))) |
(atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.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)) |
#s(literal 2 binary64) |
(atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(+.f64 #s(literal -1 binary64) x) |
(-.f64 x #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(atan.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.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 |
(neg.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 x x)) |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 x x) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (atan.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x x))))) | |
| accuracy | 0.01171875 | (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) | |
| accuracy | 0.01953125 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x x))) | |
| accuracy | 0.03125 | (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.0078125 | (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x)))) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) | |
| accuracy | 0.01171875 | (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x))) | |
| accuracy | 0.03125 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0.00390625 | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| accuracy | 0.00390625 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) | |
| accuracy | 0.0078125 | (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.01171875 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x)) |
| 93.0ms | 256× | 0 | valid |
Compiled 261 to 32 computations (87.7% saved)
ival-mult: 12.0ms (28.5% of total)ival-atan: 9.0ms (21.4% of total)ival-sqrt: 7.0ms (16.6% of total)ival-div: 6.0ms (14.2% of total)ival-add: 4.0ms (9.5% of total)ival-sub: 3.0ms (7.1% of total)ival-neg: 1.0ms (2.4% of total)adjust: 0.0ms (0% 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 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal 2 binary64) #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x)))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x))))) |
(atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x x))) |
(neg.f64 (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal -1 binary64) (*.f64 x x)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(atan.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x x))))) |
| Outputs |
|---|
1 |
(+ 1 (pow x 2)) |
(+ 1 (* (pow x 2) (+ 1 (pow x 2)))) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))) |
(* 2 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2))))))) |
(atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) |
-1 |
(- x 1) |
(- (* x (+ 1 (* -1 x))) 1) |
(- (* x (+ 1 (* x (- x 1)))) 1) |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(* 2 (atan (sqrt (/ (* (- 1 x) (- x 1)) (- (pow x 2) 1))))) |
(atan (sqrt (/ (* (- 1 x) (- x 1)) (- (pow x 2) 1)))) |
(- (pow x 2) 1) |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 3/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 3/8 (* 5/16 (pow x 2))))))) |
(- (* 2 x) 1) |
(- (* x (+ 2 (* -1 x))) 1) |
(/ -1 (pow x 2)) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ -1 x) |
(/ (- (/ 1 x) 1) x) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x) |
(- (* 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)))) |
x |
(* x (- 1 (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* -1 (sqrt -1)) |
(+ (* -1 (sqrt -1)) (/ (sqrt -1) x)) |
(+ (* -1 (sqrt -1)) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ (sqrt -1) x))) |
(- (+ (* -1 (sqrt -1)) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) x))) (* 1/2 (/ 1 (* (pow x 3) (sqrt -1))))) |
(/ (sqrt -1) x) |
(/ (- (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) x) |
(/ (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1))))) (/ 1/2 (* (pow x 2) (sqrt -1)))) x) |
(/ (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))))) (/ 1/2 (* (pow x 2) (sqrt -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 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 1)) |
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2))))) |
(* 2 (atan (* (+ 1 (* -1 x)) (sqrt (/ 1 (- 1 (pow x 2))))))) |
(atan (* (+ 1 (* -1 x)) (sqrt (/ 1 (- 1 (pow x 2)))))) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x)) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1) |
(* 2 (atan (* (* (sqrt -1) (+ 1 (* -1 x))) (sqrt (/ 1 (- (pow x 2) 1)))))) |
(atan (* (* (sqrt -1) (+ 1 (* -1 x))) (sqrt (/ 1 (- (pow x 2) 1))))) |
(* -1 (* x (- (/ 1 x) 1))) |
(+ (sqrt -1) (* -1 (/ (sqrt -1) x))) |
(+ (sqrt -1) (* -1 (/ (+ (sqrt -1) (* 1/2 (/ 1 (* x (sqrt -1))))) x))) |
(+ (sqrt -1) (* -1 (/ (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) x))) x))) |
(* -1 (/ (sqrt -1) x)) |
(* -1 (/ (- (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) x)) |
(* -1 (/ (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1))))) (/ 1/2 (* (pow x 2) (sqrt -1)))) x)) |
(* -1 (/ (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))))) (/ 1/2 (* (pow x 2) (sqrt -1)))) x)) |
(+ (sqrt -1) (* -1 (/ (+ (sqrt -1) (* -1/2 (/ (sqrt -1) x))) x))) |
(+ (sqrt -1) (* -1 (/ (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (sqrt -1) x)) (* 1/2 (sqrt -1))) x))) x))) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | ((/ 1 (- 1 (* x x))) (* 2 (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan (* (sqrt (/ 1 (- 1 (* x x)))) (- 1 x))) (/ (- 1 x) (+ (* x x) -1)) (* (/ (- 1 x) (+ (* x x) -1)) (+ -1 x)) (* 2 (atan (sqrt (* (/ (- 1 x) (+ (* x x) -1)) (+ -1 x))))) (atan (sqrt (* (/ (- 1 x) (+ (* x x) -1)) (+ -1 x)))) (/ (* (- 1 x) (neg (- 1 x))) (+ -1 (* x x))) (neg (- 1 x)) (+ -1 (* x x)) (* 2 (atan (sqrt (/ (* (- 1 x) (neg (- 1 x))) (+ -1 (* x x)))))) (* (sqrt (/ 1 (- 1 (* x x)))) (- 1 x)) (sqrt (/ 1 (- 1 (* x x)))) (sqrt (* (/ (- 1 x) (+ (* x x) -1)) (+ -1 x))) (* (- 1 x) (neg (- 1 x))) (sqrt (/ (* (- 1 x) (neg (- 1 x))) (+ -1 (* x x)))) (atan (sqrt (/ (* (- 1 x) (neg (- 1 x))) (+ -1 (* x x)))))) |
| 2.0ms | x | @ | inf | ((/ 1 (- 1 (* x x))) (* 2 (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan (* (sqrt (/ 1 (- 1 (* x x)))) (- 1 x))) (/ (- 1 x) (+ (* x x) -1)) (* (/ (- 1 x) (+ (* x x) -1)) (+ -1 x)) (* 2 (atan (sqrt (* (/ (- 1 x) (+ (* x x) -1)) (+ -1 x))))) (atan (sqrt (* (/ (- 1 x) (+ (* x x) -1)) (+ -1 x)))) (/ (* (- 1 x) (neg (- 1 x))) (+ -1 (* x x))) (neg (- 1 x)) (+ -1 (* x x)) (* 2 (atan (sqrt (/ (* (- 1 x) (neg (- 1 x))) (+ -1 (* x x)))))) (* (sqrt (/ 1 (- 1 (* x x)))) (- 1 x)) (sqrt (/ 1 (- 1 (* x x)))) (sqrt (* (/ (- 1 x) (+ (* x x) -1)) (+ -1 x))) (* (- 1 x) (neg (- 1 x))) (sqrt (/ (* (- 1 x) (neg (- 1 x))) (+ -1 (* x x)))) (atan (sqrt (/ (* (- 1 x) (neg (- 1 x))) (+ -1 (* x x)))))) |
| 2.0ms | x | @ | -inf | ((/ 1 (- 1 (* x x))) (* 2 (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan (* (sqrt (/ 1 (- 1 (* x x)))) (- 1 x))) (/ (- 1 x) (+ (* x x) -1)) (* (/ (- 1 x) (+ (* x x) -1)) (+ -1 x)) (* 2 (atan (sqrt (* (/ (- 1 x) (+ (* x x) -1)) (+ -1 x))))) (atan (sqrt (* (/ (- 1 x) (+ (* x x) -1)) (+ -1 x)))) (/ (* (- 1 x) (neg (- 1 x))) (+ -1 (* x x))) (neg (- 1 x)) (+ -1 (* x x)) (* 2 (atan (sqrt (/ (* (- 1 x) (neg (- 1 x))) (+ -1 (* x x)))))) (* (sqrt (/ 1 (- 1 (* x x)))) (- 1 x)) (sqrt (/ 1 (- 1 (* x x)))) (sqrt (* (/ (- 1 x) (+ (* x x) -1)) (+ -1 x))) (* (- 1 x) (neg (- 1 x))) (sqrt (/ (* (- 1 x) (neg (- 1 x))) (+ -1 (* x x)))) (atan (sqrt (/ (* (- 1 x) (neg (- 1 x))) (+ -1 (* x x)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 236 | 1002 |
| 1 | 719 | 864 |
| 2 | 2725 | 832 |
| 0 | 8904 | 799 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (pow x 2)) |
(+ 1 (* (pow x 2) (+ 1 (pow x 2)))) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))) |
(* 2 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2))))))) |
(atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) |
-1 |
(- x 1) |
(- (* x (+ 1 (* -1 x))) 1) |
(- (* x (+ 1 (* x (- x 1)))) 1) |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(* 2 (atan (sqrt (/ (* (- 1 x) (- x 1)) (- (pow x 2) 1))))) |
(atan (sqrt (/ (* (- 1 x) (- x 1)) (- (pow x 2) 1)))) |
(- (pow x 2) 1) |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 3/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 3/8 (* 5/16 (pow x 2))))))) |
(- (* 2 x) 1) |
(- (* x (+ 2 (* -1 x))) 1) |
(/ -1 (pow x 2)) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ -1 x) |
(/ (- (/ 1 x) 1) x) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x) |
(- (* 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)))) |
x |
(* x (- 1 (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* -1 (sqrt -1)) |
(+ (* -1 (sqrt -1)) (/ (sqrt -1) x)) |
(+ (* -1 (sqrt -1)) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ (sqrt -1) x))) |
(- (+ (* -1 (sqrt -1)) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) x))) (* 1/2 (/ 1 (* (pow x 3) (sqrt -1))))) |
(/ (sqrt -1) x) |
(/ (- (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) x) |
(/ (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1))))) (/ 1/2 (* (pow x 2) (sqrt -1)))) x) |
(/ (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))))) (/ 1/2 (* (pow x 2) (sqrt -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 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 1)) |
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2))))) |
(* 2 (atan (* (+ 1 (* -1 x)) (sqrt (/ 1 (- 1 (pow x 2))))))) |
(atan (* (+ 1 (* -1 x)) (sqrt (/ 1 (- 1 (pow x 2)))))) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x)) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1) |
(* 2 (atan (* (* (sqrt -1) (+ 1 (* -1 x))) (sqrt (/ 1 (- (pow x 2) 1)))))) |
(atan (* (* (sqrt -1) (+ 1 (* -1 x))) (sqrt (/ 1 (- (pow x 2) 1))))) |
(* -1 (* x (- (/ 1 x) 1))) |
(+ (sqrt -1) (* -1 (/ (sqrt -1) x))) |
(+ (sqrt -1) (* -1 (/ (+ (sqrt -1) (* 1/2 (/ 1 (* x (sqrt -1))))) x))) |
(+ (sqrt -1) (* -1 (/ (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) x))) x))) |
(* -1 (/ (sqrt -1) x)) |
(* -1 (/ (- (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) x)) |
(* -1 (/ (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1))))) (/ 1/2 (* (pow x 2) (sqrt -1)))) x)) |
(* -1 (/ (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))))) (/ 1/2 (* (pow x 2) (sqrt -1)))) x)) |
(+ (sqrt -1) (* -1 (/ (+ (sqrt -1) (* -1/2 (/ (sqrt -1) x))) x))) |
(+ (sqrt -1) (* -1 (/ (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (sqrt -1) x)) (* 1/2 (sqrt -1))) x))) x))) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1 (pow x 2)))) |
(fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))) |
(fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* 2 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2))))))) |
(*.f64 (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) #s(literal 2 binary64)) |
(atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) |
(atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- (* x (+ 1 (* -1 x))) 1) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) |
(- (* x (+ 1 (* x (- x 1)))) 1) |
(fma.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x #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) (- x 1)) (- (pow x 2) 1))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(atan (sqrt (/ (* (- 1 x) (- x 1)) (- (pow x 2) 1)))) |
(atan.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))))) |
(- (pow x 2) 1) |
(fma.f64 x x #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 (* 1/2 (pow x 2))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 3/8 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 3/8 (* 5/16 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/16 binary64) (*.f64 x x) #s(literal 3/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(- (* 2 x) 1) |
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) |
(- (* x (+ 2 (* -1 x))) 1) |
(fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2)) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (/ 1 x) 1) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64))) x) |
(- (* 2 (/ 1 x)) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2)))) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) |
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2)))) |
(-.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) x) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x)) |
x |
(* x (- 1 (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x) |
(* -1 (sqrt -1)) |
(neg.f64 (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1 (sqrt -1)) (/ (sqrt -1) x)) |
(-.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1 (sqrt -1)) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ (sqrt -1) x))) |
(-.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x) (sqrt.f64 #s(literal -1 binary64))) |
(- (+ (* -1 (sqrt -1)) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) x))) (* 1/2 (/ 1 (* (pow x 3) (sqrt -1))))) |
(-.f64 (-.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))) |
(/ (sqrt -1) x) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) x) |
(/ (- (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) x) |
(-.f64 (/.f64 (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)))) |
(/ (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1))))) (/ 1/2 (* (pow x 2) (sqrt -1)))) x) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) x) |
(/ (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))))) (/ 1/2 (* (pow x 2) (sqrt -1)))) x) |
(/.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -5/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) x) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 (* x (sqrt -1)))) |
(+.f64 (/.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 (* x (sqrt -1))))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (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)))))) |
(+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (* 2 (/ 1 x)) 1)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)) |
(* 2 (atan (* (+ 1 (* -1 x)) (sqrt (/ 1 (- 1 (pow x 2))))))) |
(*.f64 (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) #s(literal 2 binary64)) |
(atan (* (+ 1 (* -1 x)) (sqrt (/ 1 (- 1 (pow x 2)))))) |
(atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) #s(literal 1 binary64)) x) |
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) |
(* 2 (atan (* (* (sqrt -1) (+ 1 (* -1 x))) (sqrt (/ 1 (- (pow x 2) 1)))))) |
(*.f64 (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) |
(atan (* (* (sqrt -1) (+ 1 (* -1 x))) (sqrt (/ 1 (- (pow x 2) 1))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
(* -1 (* x (- (/ 1 x) 1))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 x)) |
(+ (sqrt -1) (* -1 (/ (sqrt -1) x))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)) |
(+ (sqrt -1) (* -1 (/ (+ (sqrt -1) (* 1/2 (/ 1 (* x (sqrt -1))))) x))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x)) |
(+ (sqrt -1) (* -1 (/ (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) x))) x))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) x)) x)) |
(* -1 (/ (sqrt -1) x)) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) x) |
(* -1 (/ (- (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) x)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) x) |
(* -1 (/ (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1))))) (/ 1/2 (* (pow x 2) (sqrt -1)))) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 x)) |
(* -1 (/ (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))))) (/ 1/2 (* (pow x 2) (sqrt -1)))) x)) |
(/.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -5/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 x)) |
(+ (sqrt -1) (* -1 (/ (+ (sqrt -1) (* -1/2 (/ (sqrt -1) x))) x))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) |
(+ (sqrt -1) (* -1 (/ (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (sqrt -1) x)) (* 1/2 (sqrt -1))) x))) x))) |
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 #s(literal -1 binary64)))) x)) x)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1)) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (*.f64 x x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 243 |
| 0 | 56 | 234 |
| 1 | 177 | 177 |
| 0 | 1389 | 177 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal 2 binary64) #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x)))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x))))) |
(atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x x))) |
(neg.f64 (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal -1 binary64) (*.f64 x x)) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(atan.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x x))))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (cosh.f64 (atanh.f64 x)) (cosh.f64 (atanh.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal -1 binary64))) |
(*.f64 #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x))))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x)))))) |
(/.f64 (-.f64 (*.f64 #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x))))) #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x)))))) (*.f64 #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x))))) #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x))))))) (-.f64 #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x))))) #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x))))))) |
(/.f64 (+.f64 (pow.f64 #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x))))) #s(literal 3 binary64)) (pow.f64 #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x))))) #s(literal 3 binary64))) (fma.f64 #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x))))) #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x))))) (-.f64 (*.f64 #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x))))) #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x)))))) (*.f64 #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x))))) #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x))))))))) |
(fma.f64 #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x))))) #s(literal 1 binary64) (*.f64 #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x))))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x))))) (*.f64 #s(literal 1 binary64) #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x))))))) |
(+.f64 (*.f64 #s(literal 1 binary64) #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x)))))) (*.f64 #s(literal 1 binary64) #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x))))))) |
(+.f64 (*.f64 #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x))))) #s(literal 1 binary64)) (*.f64 #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x))))) #s(literal 1 binary64))) |
(+.f64 #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x))))) #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x)))))) |
#s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x))))) |
(atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 x x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 x x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
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(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sin.f64 (acos.f64 x))))) |
(/.f64 (-.f64 (*.f64 (atan.f64 (/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sin.f64 (acos.f64 x)))) (atan.f64 (/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sin.f64 (acos.f64 x))))) (*.f64 (atan.f64 (/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sin.f64 (acos.f64 x)))) (atan.f64 (/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sin.f64 (acos.f64 x)))))) (-.f64 (atan.f64 (/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sin.f64 (acos.f64 x)))) (atan.f64 (/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sin.f64 (acos.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (atan.f64 (/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sin.f64 (acos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (atan.f64 (/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sin.f64 (acos.f64 x)))) #s(literal 3 binary64))) (fma.f64 (atan.f64 (/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sin.f64 (acos.f64 x)))) (atan.f64 (/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sin.f64 (acos.f64 x)))) (-.f64 (*.f64 (atan.f64 (/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sin.f64 (acos.f64 x)))) (atan.f64 (/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sin.f64 (acos.f64 x))))) (*.f64 (atan.f64 (/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sin.f64 (acos.f64 x)))) (atan.f64 (/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sin.f64 (acos.f64 x)))))))) |
(fma.f64 (atan.f64 (/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sin.f64 (acos.f64 x)))) #s(literal 1 binary64) (*.f64 (atan.f64 (/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sin.f64 (acos.f64 x)))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (atan.f64 (/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sin.f64 (acos.f64 x)))) (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sin.f64 (acos.f64 x)))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sin.f64 (acos.f64 x))))) (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sin.f64 (acos.f64 x)))))) |
(+.f64 (*.f64 (atan.f64 (/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sin.f64 (acos.f64 x)))) #s(literal 1 binary64)) (*.f64 (atan.f64 (/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sin.f64 (acos.f64 x)))) #s(literal 1 binary64))) |
(+.f64 (atan.f64 (/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sin.f64 (acos.f64 x)))) (atan.f64 (/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sin.f64 (acos.f64 x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (cosh.f64 (atanh.f64 x))) |
(*.f64 (cosh.f64 (atanh.f64 x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (cosh.f64 (atanh.f64 x))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (cosh.f64 (atanh.f64 x))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (sin.f64 (acos.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (sin.f64 (acos.f64 x))) |
(/.f64 (*.f64 (cosh.f64 (atanh.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (cosh.f64 (atanh.f64 x)) (-.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 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (sin.f64 (acos.f64 x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (sin.f64 (acos.f64 x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sin.f64 (acos.f64 x)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/4 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 (acos.f64 x)))) |
(*.f64 #s(literal 1 binary64) (cosh.f64 (atanh.f64 x))) |
(pow.f64 (sin.f64 (acos.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (acos.f64 x)))) |
(/.f64 #s(literal 1 binary64) (sin.f64 (acos.f64 x))) |
(cosh.f64 (atanh.f64 (neg.f64 x))) |
(cosh.f64 (atanh.f64 (fabs.f64 x))) |
(cosh.f64 (atanh.f64 x)) |
(sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sin.f64 (acos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sin.f64 (acos.f64 x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sin.f64 (acos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sin.f64 (acos.f64 x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sin.f64 (acos.f64 x))) |
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(sqrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) |
(neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 x (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(fma.f64 x (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 #s(literal 1 binary64) x))) |
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sin.f64 (acos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sin.f64 (acos.f64 x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sin.f64 (acos.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sin.f64 (acos.f64 x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sin.f64 (acos.f64 x))) |
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(sqrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))) |
(atan.f64 (/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sin.f64 (acos.f64 x)))) |
Compiled 8 708 to 1 697 computations (80.5% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 296 | 2 | 298 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 0 | 3 |
| Done | 0 | 6 | 6 |
| Total | 299 | 8 | 307 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 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))))) |
| 100.0% | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 #s(approx (* (- 1 x) (neg (- 1 x))) (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))))) | |
| ✓ | 98.8% | (*.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))))) |
| ✓ | 98.6% | (*.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))))) |
| ✓ | 98.3% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
| ✓ | 97.7% | (*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64)))) |
| 100.0% | (*.f64 #s(literal 2 binary64) #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))))) |
Compiled 484 to 225 computations (53.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 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 #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 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 #s(approx (* (- 1 x) (neg (- 1 x))) (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))))))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))))))) |
5 calls:
| 5.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 4.0ms | x |
| 3.0ms | (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 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (/.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 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) 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 | x |
Compiled 36 to 28 computations (22.2% saved)
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 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 #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 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 #s(approx (* (- 1 x) (neg (- 1 x))) (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
5 calls:
| 4.0ms | x |
| 3.0ms | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 3.0ms | (atan.f64 (sqrt.f64 (/.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))) |
| 3.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (/.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 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) 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 | x |
Compiled 36 to 28 computations (22.2% saved)
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 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 #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 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) #s(approx (atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 #s(approx (* (- 1 x) (neg (- 1 x))) (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x 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:
| 3.0ms | x |
| 2.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) 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))) |
| 2.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (/.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 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) 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 | x |
Compiled 36 to 28 computations (22.2% saved)
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 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 #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))))) |
| 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:
| 33.0ms | 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))))) |
| 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 |
|---|---|---|
| 98.8% | 1 | (/.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 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) 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 | x |
Compiled 36 to 28 computations (22.2% saved)
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 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 #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:
| 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 | (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 |
|---|---|---|
| 98.6% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| 98.6% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 98.6% | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 98.6% | 1 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 98.6% | 1 | x |
Compiled 36 to 28 computations (22.2% saved)
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 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)))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))) |
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 |
|---|---|---|
| 98.3% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| 98.3% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 98.3% | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 98.3% | 1 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 98.3% | 1 | x |
Compiled 36 to 28 computations (22.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64)))) |
5 calls:
| 1.0ms | x |
| 1.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) 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 | (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 |
|---|---|---|
| 97.7% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) |
| 97.7% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
| 97.7% | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
| 97.7% | 1 | (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) |
| 97.7% | 1 | x |
Compiled 36 to 28 computations (22.2% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 127 |
| 1 | 67 | 127 |
| 2 | 87 | 127 |
| 3 | 125 | 127 |
| 4 | 302 | 127 |
| 5 | 2367 | 127 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 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))) (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 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))))))) |
(*.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 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))) (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 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64)))) |
| 1× | fuel |
Compiled 127 to 52 computations (59.1% saved)
Compiled 276 to 122 computations (55.8% saved)
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