
Time bar (total: 2.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 7 to 7 computations (0% saved)
| 669.0ms | 8 256× | 0 | valid |
ival-div: 114.0ms (55.2% of total)ival-add: 72.0ms (34.9% of total)exact: 9.0ms (4.4% of total)ival-true: 6.0ms (2.9% of total)ival-assert: 4.0ms (1.9% of total)adjust: 2.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 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 |
| 19.0ms | 512× | 0 | valid |
Compiled 31 to 19 computations (38.7% saved)
ival-div: 4.0ms (49.1% of total)ival-add: 3.0ms (36.8% of total)exact: 1.0ms (12.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 9 |
| 1 | 15 | 7 |
| 2 | 26 | 7 |
| 3 | 39 | 7 |
| 4 | 104 | 7 |
| 5 | 607 | 6 |
| 6 | 5496 | 6 |
| 0 | 5 | 3 |
| 0 | 8 | 3 |
| 1 | 11 | 3 |
| 2 | 14 | 3 |
| 3 | 22 | 3 |
| 4 | 48 | 3 |
| 5 | 184 | 3 |
| 6 | 1427 | 3 |
| 7 | 4378 | 3 |
| 0 | 8048 | 3 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
(+.f64 #s(literal 1/3 binary64) x) |
Compiled 5 to 5 computations (0% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
Compiled 5 to 5 computations (0% saved)
| Inputs |
|---|
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
x |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
| Outputs |
|---|
#s(approx (+ x (/ 1 3)) #s(hole binary64 1/3)) |
#s(approx (+ x (/ 1 3)) #s(hole binary64 (+ 1/3 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ x (/ 1 3)) #s(hole binary64 x)) |
#s(approx (+ x (/ 1 3)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ x (/ 1 3)) x (/ 1 3) 1 3) |
| 0.0ms | x | @ | inf | ((+ x (/ 1 3)) x (/ 1 3) 1 3) |
| 0.0ms | x | @ | 0 | ((+ x (/ 1 3)) x (/ 1 3) 1 3) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 27 |
| 1 | 36 | 27 |
| 2 | 93 | 27 |
| 3 | 256 | 27 |
| 4 | 1397 | 27 |
| 5 | 6552 | 27 |
| 0 | 8098 | 27 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (+ x (/ 1 3)) #s(hole binary64 1/3)) |
#s(approx (+ x (/ 1 3)) #s(hole binary64 (+ 1/3 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ x (/ 1 3)) #s(hole binary64 x)) |
#s(approx (+ x (/ 1 3)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
| Outputs |
|---|
#s(approx (+ x (/ 1 3)) #s(hole binary64 1/3)) |
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
#s(approx (+ x (/ 1 3)) #s(hole binary64 (+ 1/3 x))) |
#s(approx (+ x (/ 1 3)) (-.f64 x #s(literal -1/3 binary64))) |
#s(approx x #s(hole binary64 x)) |
#s(approx x x) |
#s(approx (+ x (/ 1 3)) #s(hole binary64 x)) |
#s(approx (+ x (/ 1 3)) x) |
#s(approx (+ x (/ 1 3)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ x (/ 1 3)) (-.f64 x #s(literal -1/3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 0 | 8 | 7 |
| 1 | 26 | 7 |
| 2 | 140 | 7 |
| 0 | 1229 | 7 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
x |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 #s(literal 1/27 binary64) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (-.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) x) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))))) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))) (fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1/27 binary64))) (*.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (*.f64 (fma.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal 1/9 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 (+.f64 #s(literal 1/19683 binary64) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 #s(literal 1/27 binary64) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (-.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (neg.f64 (-.f64 x #s(literal 1/3 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) |
(fma.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/3 binary64) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (-.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/27 binary64) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (-.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(fma.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 3/2 binary64)) (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 3/2 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) |
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) |
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/3 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) |
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 x #s(literal 1/3 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
Compiled 1 107 to 187 computations (83.1% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 54 | 4 | 58 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 55 | 4 | 59 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 71.8% | (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
| ▶ | 100.0% | (+.f64 x #s(literal 1/3 binary64)) |
| ▶ | 53.1% | #s(approx (+ x (/ 1 3)) x) |
| ▶ | 48.3% | #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
Compiled 37 to 26 computations (29.7% saved)
| Inputs |
|---|
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
#s(approx (+ x (/ 1 3)) x) |
x |
(+.f64 x #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 x x) |
(/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(-.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/9 binary64) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
#s(literal 1/27 binary64) |
| Outputs |
|---|
#s(approx (+ x (/ 1 3)) #s(hole binary64 1/3)) |
#s(approx (+ x (/ 1 3)) #s(hole binary64 (+ 1/3 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ x 1/3) #s(hole binary64 1/3)) |
#s(approx (+ x 1/3) #s(hole binary64 (+ 1/3 x))) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 1/3)) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 (+ 1/3 x))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* 9 x))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 9 (* 27 x))))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 9 (* x (+ 27 (* -243 (pow x 2)))))))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 9 (* x (+ 27 (* (pow x 2) (- (* -729 x) 243)))))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x)))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3))))) |
#s(approx (- x 1/3) #s(hole binary64 -1/3)) |
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 1/3)) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 x))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 (* x (+ 1 (* -9 (pow x 2))))))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 (* x (+ 1 (* (pow x 2) (- (* -27 x) 9))))))) |
#s(approx (+ x (/ 1 3)) #s(hole binary64 x)) |
#s(approx (+ x (/ 1 3)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ x 1/3) #s(hole binary64 x)) |
#s(approx (+ x 1/3) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 x)) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1 (* 1/3 (/ 1 x))) x))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/27 (pow x 3))) x))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1 (+ (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 3))) (* 1/3 (/ 1 x)))) x))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))))) |
#s(approx (- x 1/3) #s(hole binary64 x)) |
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ 1/27 (pow x 2)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (- (+ 1/27 (* 1/81 (/ 1 x))) (/ 1/729 (pow x 3))) (pow x 2)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (+ (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 3))) (* 1/81 (/ 1 x)))) (pow x 2)))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x)) 1) x)))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) x)) 1) x)))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))))) |
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x))) (pow x 2)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (* -1 (/ (- (+ (/ 1/2187 (pow x 3)) (* 1/729 (/ 1 (pow x 2)))) 1/81) x))) (pow x 2)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((+ x (/ 1 3)) 1/3 (+ x (/ 1 3)) x (+ x 1/3) (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (* x x) (/ x (+ (* x (- x 1/3)) 1/9)) (+ (* x (- x 1/3)) 1/9) (- x 1/3) 1/9 (/ 1/27 (+ (* x (- x 1/3)) 1/9)) 1/27) |
| 2.0ms | x | @ | -inf | ((+ x (/ 1 3)) 1/3 (+ x (/ 1 3)) x (+ x 1/3) (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (* x x) (/ x (+ (* x (- x 1/3)) 1/9)) (+ (* x (- x 1/3)) 1/9) (- x 1/3) 1/9 (/ 1/27 (+ (* x (- x 1/3)) 1/9)) 1/27) |
| 2.0ms | x | @ | 0 | ((+ x (/ 1 3)) 1/3 (+ x (/ 1 3)) x (+ x 1/3) (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (* x x) (/ x (+ (* x (- x 1/3)) 1/9)) (+ (* x (- x 1/3)) 1/9) (- x 1/3) 1/9 (/ 1/27 (+ (* x (- x 1/3)) 1/9)) 1/27) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 174 | 722 |
| 1 | 461 | 684 |
| 2 | 1577 | 674 |
| 3 | 6666 | 674 |
| 0 | 8234 | 632 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (+ x (/ 1 3)) #s(hole binary64 1/3)) |
#s(approx (+ x (/ 1 3)) #s(hole binary64 (+ 1/3 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ x 1/3) #s(hole binary64 1/3)) |
#s(approx (+ x 1/3) #s(hole binary64 (+ 1/3 x))) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 1/3)) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 (+ 1/3 x))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* 9 x))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 9 (* 27 x))))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 9 (* x (+ 27 (* -243 (pow x 2)))))))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 9 (* x (+ 27 (* (pow x 2) (- (* -729 x) 243)))))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x)))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3))))) |
#s(approx (- x 1/3) #s(hole binary64 -1/3)) |
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 1/3)) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 x))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 (* x (+ 1 (* -9 (pow x 2))))))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 (* x (+ 1 (* (pow x 2) (- (* -27 x) 9))))))) |
#s(approx (+ x (/ 1 3)) #s(hole binary64 x)) |
#s(approx (+ x (/ 1 3)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ x 1/3) #s(hole binary64 x)) |
#s(approx (+ x 1/3) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 x)) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1 (* 1/3 (/ 1 x))) x))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/27 (pow x 3))) x))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1 (+ (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 3))) (* 1/3 (/ 1 x)))) x))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))))) |
#s(approx (- x 1/3) #s(hole binary64 x)) |
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ 1/27 (pow x 2)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (- (+ 1/27 (* 1/81 (/ 1 x))) (/ 1/729 (pow x 3))) (pow x 2)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (+ (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 3))) (* 1/81 (/ 1 x)))) (pow x 2)))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x)) 1) x)))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) x)) 1) x)))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))))) |
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x))) (pow x 2)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (* -1 (/ (- (+ (/ 1/2187 (pow x 3)) (* 1/729 (/ 1 (pow x 2)))) 1/81) x))) (pow x 2)))) |
| Outputs |
|---|
#s(approx (+ x (/ 1 3)) #s(hole binary64 1/3)) |
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
#s(approx (+ x (/ 1 3)) #s(hole binary64 (+ 1/3 x))) |
#s(approx (+ x (/ 1 3)) (-.f64 x #s(literal -1/3 binary64))) |
#s(approx x #s(hole binary64 x)) |
#s(approx x x) |
#s(approx (+ x 1/3) #s(hole binary64 1/3)) |
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
#s(approx (+ x 1/3) #s(hole binary64 (+ 1/3 x))) |
#s(approx (+ x (/ 1 3)) (-.f64 x #s(literal -1/3 binary64))) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 1/3)) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) #s(literal 1/3 binary64)) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 (+ 1/3 x))) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (-.f64 x #s(literal -1/3 binary64))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* 9 x))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 9 (* 27 x))))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 (fma.f64 #s(literal 27 binary64) x #s(literal 9 binary64)) x)) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 9 (* x (+ 27 (* -243 (pow x 2)))))))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 (fma.f64 (fma.f64 #s(literal -243 binary64) (*.f64 x x) #s(literal 27 binary64)) x #s(literal 9 binary64)) x)) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 9 (* x (+ 27 (* (pow x 2) (- (* -729 x) 243)))))))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -729 binary64) x) #s(literal 243 binary64)) (*.f64 x x) #s(literal 27 binary64)) x #s(literal 9 binary64)) x)) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(literal 1/9 binary64)) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x)))) |
#s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(approx (- x 1/3) #s(hole binary64 -1/3)) |
#s(approx (- x 1/3) #s(literal -1/3 binary64)) |
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3))) |
#s(approx (- x 1/3) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 1/3)) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(literal 1/3 binary64)) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 x))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (-.f64 x #s(literal -1/3 binary64))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 (* x (+ 1 (* -9 (pow x 2))))))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 (* x (+ 1 (* (pow x 2) (- (* -27 x) 9))))))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -27 binary64) x) #s(literal 9 binary64)) (-.f64 x #s(literal -1/3 binary64)))) |
#s(approx (+ x (/ 1 3)) #s(hole binary64 x)) |
#s(approx (+ x (/ 1 3)) x) |
#s(approx (+ x (/ 1 3)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ x (/ 1 3)) (-.f64 x #s(literal -1/3 binary64))) |
#s(approx (+ x 1/3) #s(hole binary64 x)) |
#s(approx (+ x (/ 1 3)) x) |
#s(approx (+ x 1/3) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ x (/ 1 3)) (-.f64 x #s(literal -1/3 binary64))) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 x)) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) x) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (-.f64 x #s(literal -1/3 binary64))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1 (* 1/3 (/ 1 x))) x))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) x)) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/27 (pow x 3))) x))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) x) #s(literal -1 binary64)) x)) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1 (+ (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 3))) (* 1/3 (/ 1 x)))) x))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x (- x 1/3)) 1/9) (*.f64 x x)) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal -1/3 binary64)) x)) |
#s(approx (- x 1/3) #s(hole binary64 x)) |
#s(approx (- x 1/3) x) |
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- x 1/3) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ 1/27 (pow x 2)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/27 binary64)) x) x)) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (- (+ 1/27 (* 1/81 (/ 1 x))) (/ 1/729 (pow x 3))) (pow x 2)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/.f64 (-.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/81 binary64) x)) (*.f64 x x))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (+ (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 3))) (* 1/81 (/ 1 x)))) (pow x 2)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/729 binary64) (/.f64 #s(literal 1/2187 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/81 binary64) x)) #s(literal -1/27 binary64)) (*.f64 x x))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x)) 1) x)))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) x) #s(literal -1 binary64)) x)) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) x)) 1) x)))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal -1/3 binary64)) x)) |
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- x 1/3) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x))) (pow x 2)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/.f64 (-.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/81 binary64) x)) (*.f64 x x))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (* -1 (/ (- (+ (/ 1/2187 (pow x 3)) (* 1/729 (/ 1 (pow x 2)))) 1/81) x))) (pow x 2)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/729 binary64) (/.f64 #s(literal 1/2187 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/81 binary64) x)) #s(literal -1/27 binary64)) (*.f64 x x))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 65 |
| 0 | 25 | 65 |
| 1 | 89 | 57 |
| 0 | 662 | 57 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
#s(approx (+ x (/ 1 3)) x) |
x |
(+.f64 x #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 x x) |
(/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(-.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/9 binary64) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
#s(literal 1/27 binary64) |
| Outputs |
|---|
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
#s(approx (+ x (/ 1 3)) x) |
x |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (-.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))))) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 x #s(literal 1/3 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -1/27 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (neg.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal 1/27 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(/.f64 (fma.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (*.f64 (neg.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(fma.f64 (*.f64 (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (neg.f64 x)) (neg.f64 x) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(fma.f64 (*.f64 (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (fabs.f64 x)) (fabs.f64 x) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(fma.f64 (*.f64 (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) x) x (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(fma.f64 (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 x x) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(fma.f64 x (*.f64 (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) x) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))) |
(-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 (neg.f64 (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))) |
(-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 (neg.f64 x) (*.f64 (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) x))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) |
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(neg.f64 (/.f64 x (neg.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))) |
(/.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64))) |
(/.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/81 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 1/9 binary64))))) |
(/.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))) |
(fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) |
(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)))) |
(-.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal -1/9 binary64)) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 (-.f64 x #s(literal 1/3 binary64))) x)) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/729 binary64) (fma.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 1/9 binary64)) |
(+.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (+.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
(-.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/9 binary64) |
(*.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64))) |
(*.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1/27 binary64) (neg.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(/.f64 #s(literal 1/27 binary64) (neg.f64 (neg.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) |
(neg.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(neg.f64 (/.f64 #s(literal 1/27 binary64) (neg.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))) |
#s(literal 1/27 binary64) |
Compiled 4 789 to 531 computations (88.9% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 183 | 1 | 184 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 0 | 0 |
| Total | 184 | 4 | 188 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.3% | (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
| ✓ | 100.0% | (+.f64 x #s(literal 1/3 binary64)) |
| ✓ | 53.1% | #s(approx (+ x (/ 1 3)) x) |
| ✓ | 48.3% | #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
Compiled 42 to 34 computations (19% saved)
| Inputs |
|---|
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 x x) |
x |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
#s(literal 9 binary64) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
#s(literal 1/27 binary64) |
(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(-.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1/9 binary64) |
| Outputs |
|---|
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 1/3)) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 (+ 1/3 x))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* 9 x))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 9 (* 27 x))))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 9 (* x (+ 27 (* -243 (pow x 2)))))))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 9 (* x (+ 27 (* (pow x 2) (- (* -729 x) 243)))))))) |
#s(approx (* 9 x) #s(hole binary64 (* 9 x))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 1/3)) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 x))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 (* x (+ 1 (* -9 (pow x 2))))))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 (* x (+ 1 (* (pow x 2) (- (* -27 x) 9))))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x)))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3))))) |
#s(approx (- x 1/3) #s(hole binary64 -1/3)) |
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3))) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 x)) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1 (* 1/3 (/ 1 x))) x))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/27 (pow x 3))) x))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1 (+ (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 3))) (* 1/3 (/ 1 x)))) x))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ 1/27 (pow x 2)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (- (+ 1/27 (* 1/81 (/ 1 x))) (/ 1/729 (pow x 3))) (pow x 2)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (+ (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 3))) (* 1/81 (/ 1 x)))) (pow x 2)))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))))) |
#s(approx (- x 1/3) #s(hole binary64 x)) |
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x)) 1) x)))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) x)) 1) x)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x))) (pow x 2)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (* -1 (/ (- (+ (/ 1/2187 (pow x 3)) (* 1/729 (/ 1 (pow x 2)))) 1/81) x))) (pow x 2)))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))))) |
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | ((+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (* x x) x (/ x (+ (* x (- x 1/3)) 1/9)) (* 9 x) 9 (/ 1/27 (+ (* x (- x 1/3)) 1/9)) 1/27 (+ (* x (- x 1/3)) 1/9) (- x 1/3) 1/3 1/9) |
| 1.0ms | x | @ | -inf | ((+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (* x x) x (/ x (+ (* x (- x 1/3)) 1/9)) (* 9 x) 9 (/ 1/27 (+ (* x (- x 1/3)) 1/9)) 1/27 (+ (* x (- x 1/3)) 1/9) (- x 1/3) 1/3 1/9) |
| 1.0ms | x | @ | inf | ((+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (* x x) x (/ x (+ (* x (- x 1/3)) 1/9)) (* 9 x) 9 (/ 1/27 (+ (* x (- x 1/3)) 1/9)) 1/27 (+ (* x (- x 1/3)) 1/9) (- x 1/3) 1/3 1/9) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 169 | 681 |
| 1 | 452 | 643 |
| 2 | 1550 | 633 |
| 3 | 6480 | 633 |
| 0 | 8188 | 591 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 1/3)) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 (+ 1/3 x))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* 9 x))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 9 (* 27 x))))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 9 (* x (+ 27 (* -243 (pow x 2)))))))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 9 (* x (+ 27 (* (pow x 2) (- (* -729 x) 243)))))))) |
#s(approx (* 9 x) #s(hole binary64 (* 9 x))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 1/3)) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 x))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 (* x (+ 1 (* -9 (pow x 2))))))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 (* x (+ 1 (* (pow x 2) (- (* -27 x) 9))))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x)))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3))))) |
#s(approx (- x 1/3) #s(hole binary64 -1/3)) |
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3))) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 x)) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1 (* 1/3 (/ 1 x))) x))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/27 (pow x 3))) x))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1 (+ (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 3))) (* 1/3 (/ 1 x)))) x))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ 1/27 (pow x 2)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (- (+ 1/27 (* 1/81 (/ 1 x))) (/ 1/729 (pow x 3))) (pow x 2)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (+ (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 3))) (* 1/81 (/ 1 x)))) (pow x 2)))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))))) |
#s(approx (- x 1/3) #s(hole binary64 x)) |
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x)) 1) x)))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) x)) 1) x)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x))) (pow x 2)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (* -1 (/ (- (+ (/ 1/2187 (pow x 3)) (* 1/729 (/ 1 (pow x 2)))) 1/81) x))) (pow x 2)))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))))) |
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
| Outputs |
|---|
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 1/3)) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) #s(literal 1/3 binary64)) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 (+ 1/3 x))) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (-.f64 x #s(literal -1/3 binary64))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx x #s(hole binary64 x)) |
#s(approx x x) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* 9 x))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 9 (* 27 x))))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 (fma.f64 #s(literal 27 binary64) x #s(literal 9 binary64)) x)) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 9 (* x (+ 27 (* -243 (pow x 2)))))))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 (fma.f64 (fma.f64 #s(literal -243 binary64) (*.f64 x x) #s(literal 27 binary64)) x #s(literal 9 binary64)) x)) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 9 (* x (+ 27 (* (pow x 2) (- (* -729 x) 243)))))))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -729 binary64) x) #s(literal 243 binary64)) (*.f64 x x) #s(literal 27 binary64)) x #s(literal 9 binary64)) x)) |
#s(approx (* 9 x) #s(hole binary64 (* 9 x))) |
#s(approx (* 9 x) (*.f64 #s(literal 9 binary64) x)) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 1/3)) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(literal 1/3 binary64)) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 x))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (-.f64 x #s(literal -1/3 binary64))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 (* x (+ 1 (* -9 (pow x 2))))))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 (* x (+ 1 (* (pow x 2) (- (* -27 x) 9))))))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -27 binary64) x) #s(literal 9 binary64)) (-.f64 x #s(literal -1/3 binary64)))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(literal 1/9 binary64)) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x)))) |
#s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(approx (- x 1/3) #s(hole binary64 -1/3)) |
#s(approx (- x 1/3) #s(literal -1/3 binary64)) |
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3))) |
#s(approx (- x 1/3) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 x)) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) x) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (-.f64 x #s(literal -1/3 binary64))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1 (* 1/3 (/ 1 x))) x))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) x)) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/27 (pow x 3))) x))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) x) #s(literal -1 binary64)) x)) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1 (+ (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 3))) (* 1/3 (/ 1 x)))) x))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) x)) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ 1/27 (pow x 2)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/27 binary64)) x) x)) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (- (+ 1/27 (* 1/81 (/ 1 x))) (/ 1/729 (pow x 3))) (pow x 2)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/.f64 (-.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/81 binary64) x)) (*.f64 x x))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (+ (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 3))) (* 1/81 (/ 1 x)))) (pow x 2)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/729 binary64) (/.f64 #s(literal 1/2187 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/81 binary64) x)) #s(literal -1/27 binary64)) (*.f64 x x))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x (- x 1/3)) 1/9) (*.f64 x x)) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal -1/3 binary64)) x)) |
#s(approx (- x 1/3) #s(hole binary64 x)) |
#s(approx (- x 1/3) x) |
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- x 1/3) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x)) 1) x)))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) x) #s(literal -1 binary64)) x)) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) x)) 1) x)))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) x)) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x))) (pow x 2)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/.f64 (-.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/81 binary64) x)) (*.f64 x x))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (* -1 (/ (- (+ (/ 1/2187 (pow x 3)) (* 1/729 (/ 1 (pow x 2)))) 1/81) x))) (pow x 2)))) |
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/729 binary64) (/.f64 #s(literal 1/2187 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/81 binary64) x)) #s(literal -1/27 binary64)) (*.f64 x x))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal -1/3 binary64)) x)) |
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- x 1/3) (-.f64 x #s(literal 1/3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 64 |
| 0 | 24 | 64 |
| 1 | 80 | 64 |
| 0 | 549 | 64 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 x x) |
x |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
#s(literal 9 binary64) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
#s(literal 1/27 binary64) |
(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(-.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1/9 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x))) (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x))) (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)) (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64))) (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x))) |
(fma.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (neg.f64 x)) (neg.f64 x) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(fma.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (fabs.f64 x)) (fabs.f64 x) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(fma.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) x) x (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(fma.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(fma.f64 x (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) x) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))) (/.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))))) |
(-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 (neg.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 (neg.f64 (*.f64 x x)) #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)))) |
(-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 (neg.f64 x) (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x))) (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x))) (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
x |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
(*.f64 x #s(literal 9 binary64)) |
#s(literal 9 binary64) |
(*.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64))) |
(*.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1/27 binary64) (neg.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(/.f64 #s(literal 1/27 binary64) (neg.f64 (neg.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) |
(neg.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(neg.f64 (/.f64 #s(literal 1/27 binary64) (neg.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))) |
#s(literal 1/27 binary64) |
(/.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64))) |
(/.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/81 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 1/9 binary64))))) |
(/.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))) |
(fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) |
(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)))) |
(-.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal -1/9 binary64)) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 (-.f64 x #s(literal 1/3 binary64))) x)) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/729 binary64) (fma.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 1/9 binary64)) |
(+.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (+.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
(-.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1/9 binary64) |
Compiled 3 797 to 390 computations (89.7% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 112 | 0 | 112 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 112 | 4 | 116 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 50.3% | (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
| ✓ | 100.0% | (+.f64 x #s(literal 1/3 binary64)) |
| ✓ | 53.1% | #s(approx (+ x (/ 1 3)) x) |
| ✓ | 48.3% | #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
Compiled 109 to 65 computations (40.4% saved)
| Inputs |
|---|
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
#s(approx (+ x (/ 1 3)) x) |
(+.f64 x #s(literal 1/3 binary64)) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
| Outputs |
|---|
(+.f64 x #s(literal 1/3 binary64)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 100.0% | 1 | x |
Compiled 6 to 6 computations (0% saved)
| Inputs |
|---|
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
#s(approx (+ x (/ 1 3)) x) |
| Outputs |
|---|
#s(approx (+ x (/ 1 3)) x) |
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
#s(approx (+ x (/ 1 3)) x) |
2 calls:
| 3.0ms | (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 3 | (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 97.8% | 3 | x |
Compiled 6 to 6 computations (0% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
| Outputs |
|---|
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.3% | 1 | (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 48.3% | 1 | x |
Compiled 6 to 6 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 2.218596813098147e-14 | 2.4757361783022342 |
| 11.0ms | -5435.1385423780885 | -3.288414224135621e-8 |
| 11.0ms | 320× | 0 | valid |
Compiled 288 to 309 computations (-7.3% saved)
ival-div: 3.0ms (62.4% of total)ival-add: 2.0ms (41.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 27 |
| 1 | 21 | 27 |
| 2 | 24 | 27 |
| 3 | 35 | 27 |
| 4 | 66 | 27 |
| 5 | 273 | 27 |
| 6 | 2666 | 27 |
| 7 | 7932 | 27 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x #s(literal 1/3 binary64)) |
(if (<=.f64 x #s(literal -6124895493223875/18014398509481984 binary64)) #s(approx (+ x (/ 1 3)) x) (if (<=.f64 x #s(literal 6124895493223875/18014398509481984 binary64)) #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) #s(approx (+ x (/ 1 3)) x))) |
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
| Outputs |
|---|
(+.f64 x #s(literal 1/3 binary64)) |
(if (<=.f64 x #s(literal -6124895493223875/18014398509481984 binary64)) #s(approx (+ x (/ 1 3)) x) (if (<=.f64 x #s(literal 6124895493223875/18014398509481984 binary64)) #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) #s(approx (+ x (/ 1 3)) x))) |
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
| 1× | done |
Compiled 39 to 15 computations (61.5% saved)
Compiled 88 to 40 computations (54.5% saved)
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