
Time bar (total: 3.5s)
| 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)
| 483.0ms | 8 256× | 0 | valid |
ival-div: 108.0ms (59% of total)ival-add: 58.0ms (31.7% of total)exact: 7.0ms (3.8% of total)ival-true: 5.0ms (2.7% of total)ival-assert: 3.0ms (1.6% of total)adjust: 2.0ms (1.1% 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 |
| 61.0ms | 512× | 0 | valid |
Compiled 31 to 19 computations (38.7% saved)
ival-add: 42.0ms (84.7% of total)ival-div: 6.0ms (12.1% 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 | 9 | 12 |
| 1 | 17 | 10 |
| 2 | 29 | 10 |
| 3 | 42 | 10 |
| 4 | 109 | 10 |
| 5 | 630 | 9 |
| 6 | 5765 | 9 |
| 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)
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 0 | 8 | 7 |
| 1 | 11 | 7 |
| 2 | 14 | 7 |
| 3 | 22 | 7 |
| 4 | 48 | 7 |
| 5 | 184 | 7 |
| 6 | 1427 | 7 |
| 7 | 4378 | 7 |
| 0 | 8048 | 7 |
| 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 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
(+.f64 #s(literal 1/3 binary64) x) |
x |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) | |
| accuracy | 0.01953125 | (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 15.0ms | 256× | 0 | valid |
Compiled 13 to 7 computations (46.2% saved)
ival-div: 7.0ms (73.7% of total)ival-add: 1.0ms (10.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
(+.f64 x (/.f64 #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 (/ 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 | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | ((/ 1 3) (+ x (/ 1 3))) |
| 0.0ms | x | @ | -inf | ((/ 1 3) (+ x (/ 1 3))) |
| 0.0ms | x | @ | 0 | ((/ 1 3) (+ x (/ 1 3))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 24 |
| 1 | 35 | 24 |
| 2 | 92 | 24 |
| 3 | 256 | 24 |
| 4 | 1382 | 24 |
| 5 | 6528 | 24 |
| 0 | 8074 | 24 |
| 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 (/ 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 (/ 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 | 4 |
| 0 | 8 | 4 |
| 1 | 26 | 4 |
| 2 | 140 | 4 |
| 0 | 1229 | 4 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Outputs |
|---|
#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 (fma.f64 x #s(literal 1/3 binary64) #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 x #s(literal 1/3 binary64))) |
(*.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 x #s(literal 1/3 binary64))) #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 x #s(literal 1/3 binary64))) (-.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.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 x #s(literal 1/3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 (+.f64 x #s(literal 1/3 binary64)) (/.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 x #s(literal 1/3 binary64))) #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 x #s(literal 1/3 binary64))) (-.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.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 x #s(literal 1/3 binary64) #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 x #s(literal 1/3 binary64)) (/.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 x #s(literal 1/3 binary64))) #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 x #s(literal 1/3 binary64))) (-.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.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 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)))) |
(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)))) |
(-.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 x #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1/3 binary64) x) |
Compiled 1 085 to 182 computations (83.2% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 49 | 5 | 54 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 50 | 5 | 55 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.9% | (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)))) |
| ▶ | 78.5% | (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) |
| ▶ | 100.0% | (+.f64 x #s(literal 1/3 binary64)) |
| ▶ | 49.4% | #s(approx (+ x (/ 1 3)) x) |
| ▶ | 51.5% | #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
Compiled 90 to 64 computations (28.9% saved)
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) | |
| cost-diff | 0 | (/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 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)))) | |
| cost-diff | 0 | (-.f64 x #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (fma.f64 x x #s(literal -1/9 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) | |
| cost-diff | 0 | #s(approx (+ x (/ 1 3)) x) | |
| cost-diff | 0 | #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (+.f64 x #s(literal 1/3 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 87 |
| 0 | 30 | 87 |
| 1 | 49 | 81 |
| 2 | 111 | 79 |
| 3 | 273 | 79 |
| 4 | 486 | 79 |
| 5 | 723 | 79 |
| 6 | 1999 | 79 |
| 7 | 4966 | 79 |
| 0 | 8114 | 79 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x #s(literal 1/3 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
#s(approx (+ x (/ 1 3)) x) |
x |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) |
(fma.f64 x x #s(literal -1/9 binary64)) |
x |
#s(literal -1/9 binary64) |
(-.f64 x #s(literal 1/3 binary64)) |
#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) |
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 1/3 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 |
|---|
(+.f64 x #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1/3 binary64) x) |
x |
#s(literal 1/3 binary64) |
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
#s(approx (+ x (/ 1 3)) x) |
x |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) |
(fma.f64 x x #s(literal -1/9 binary64)) |
x |
#s(literal -1/9 binary64) |
(-.f64 x #s(literal 1/3 binary64)) |
#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 (+.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 x x) |
x |
(/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
(/.f64 x (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)) |
(fma.f64 (-.f64 x #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) |
(/.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 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(literal 1/27 binary64) |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0234375 | (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) | |
| accuracy | 0.557349638101655 | (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) | |
| accuracy | 13.79527956187563 | (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)))) | |
| accuracy | 13.924835146003474 | (/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) | |
| accuracy | 0.0078125 | (fma.f64 x x #s(literal -1/9 binary64)) | |
| accuracy | 0.01171875 | (-.f64 x #s(literal 1/3 binary64)) | |
| accuracy | 13.75621706187563 | (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) | |
| accuracy | 32.37980502513542 | #s(approx (+ x (/ 1 3)) x) | |
| accuracy | 31.043610008139783 | #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) | |
| accuracy | 0.01953125 | (+.f64 x #s(literal 1/3 binary64)) |
| 204.0ms | 243× | 0 | valid |
| 4.0ms | 9× | 1 | valid |
| 3.0ms | 4× | 2 | valid |
Compiled 97 to 22 computations (77.3% saved)
const: 177.0ms (89.5% of total)ival-div: 7.0ms (3.5% of total)ival-add: 6.0ms (3% of total)ival-mult: 5.0ms (2.5% of total)adjust: 2.0ms (1% of total)ival-sub: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 x #s(literal 1/3 binary64)) |
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
#s(approx (+ x (/ 1 3)) x) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) |
(fma.f64 x x #s(literal -1/9 binary64)) |
(-.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 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 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 (/ 1 3)) #s(hole binary64 1/3)) |
#s(approx (+ x (/ 1 3)) #s(hole binary64 (+ 1/3 x))) |
#s(approx (/ (+ (* x x) -1/9) (- x 1/3)) #s(hole binary64 1/3)) |
#s(approx (/ (+ (* x x) -1/9) (- x 1/3)) #s(hole binary64 (+ 1/3 x))) |
#s(approx (+ (* x x) -1/9) #s(hole binary64 -1/9)) |
#s(approx (+ (* x x) -1/9) #s(hole binary64 (- (pow x 2) 1/9))) |
#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 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 (/ 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) -1/9) (- x 1/3)) #s(hole binary64 x)) |
#s(approx (/ (+ (* x x) -1/9) (- x 1/3)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) -1/9) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) -1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))))) |
#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 (/ 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 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#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 (/ 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 | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((+ x 1/3) (+ x (/ 1 3)) (+ x (/ 1 3)) (/ (+ (* x x) -1/9) (- x 1/3)) (+ (* x x) -1/9) (- 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) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) |
| 2.0ms | x | @ | -inf | ((+ x 1/3) (+ x (/ 1 3)) (+ x (/ 1 3)) (/ (+ (* x x) -1/9) (- x 1/3)) (+ (* x x) -1/9) (- 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) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) |
| 2.0ms | x | @ | 0 | ((+ x 1/3) (+ x (/ 1 3)) (+ x (/ 1 3)) (/ (+ (* x x) -1/9) (- x 1/3)) (+ (* x x) -1/9) (- 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) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 188 | 811 |
| 1 | 486 | 773 |
| 2 | 1643 | 763 |
| 3 | 6888 | 763 |
| 0 | 8102 | 711 |
| 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 (/ 1 3)) #s(hole binary64 1/3)) |
#s(approx (+ x (/ 1 3)) #s(hole binary64 (+ 1/3 x))) |
#s(approx (/ (+ (* x x) -1/9) (- x 1/3)) #s(hole binary64 1/3)) |
#s(approx (/ (+ (* x x) -1/9) (- x 1/3)) #s(hole binary64 (+ 1/3 x))) |
#s(approx (+ (* x x) -1/9) #s(hole binary64 -1/9)) |
#s(approx (+ (* x x) -1/9) #s(hole binary64 (- (pow x 2) 1/9))) |
#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 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 (/ 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) -1/9) (- x 1/3)) #s(hole binary64 x)) |
#s(approx (/ (+ (* x x) -1/9) (- x 1/3)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) -1/9) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) -1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))))) |
#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 (/ 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 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#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 (/ 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 (/ 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) -1/9) (- x 1/3)) #s(hole binary64 1/3)) |
#s(approx (/ (+ (* x x) -1/9) (- x 1/3)) #s(literal 1/3 binary64)) |
#s(approx (/ (+ (* x x) -1/9) (- x 1/3)) #s(hole binary64 (+ 1/3 x))) |
#s(approx (/ (+ (* x x) -1/9) (- x 1/3)) (-.f64 x #s(literal -1/3 binary64))) |
#s(approx (+ (* x x) -1/9) #s(hole binary64 -1/9)) |
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) |
#s(approx (+ (* x x) -1/9) #s(hole binary64 (- (pow x 2) 1/9))) |
#s(approx (+ (* x x) -1/9) (fma.f64 x 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 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 (/ 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) -1/9) (- x 1/3)) #s(hole binary64 x)) |
#s(approx (/ (+ (* x x) -1/9) (- x 1/3)) x) |
#s(approx (/ (+ (* x x) -1/9) (- x 1/3)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (+ (* x x) -1/9) (- x 1/3)) (-.f64 x #s(literal -1/3 binary64))) |
#s(approx (+ (* x x) -1/9) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) -1/9) (*.f64 x x)) |
#s(approx (+ (* x x) -1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))))) |
#s(approx (+ (* x x) -1/9) (*.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 x x)) x 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))) |
#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 (/ 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 (/.f64 #s(literal -1/2187 binary64) x) #s(literal 1/729 binary64)) (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 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 (/ 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 (/ 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 (/.f64 #s(literal -1/2187 binary64) x) #s(literal 1/729 binary64)) (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 | 20 | 73 |
| 0 | 30 | 68 |
| 1 | 114 | 60 |
| 0 | 880 | 60 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x #s(literal 1/3 binary64)) |
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
#s(approx (+ x (/ 1 3)) x) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) |
(fma.f64 x x #s(literal -1/9 binary64)) |
(-.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 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
| Outputs |
|---|
(*.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 (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 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) x)) |
(/.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))))) (-.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 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)))) (-.f64 (*.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 (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 (+.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 (fma.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 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (*.f64 (-.f64 (*.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 #s(literal -1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1/3 binary64)))) |
(/.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))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64)))) |
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (neg.f64 (-.f64 x #s(literal 1/3 binary64))))) |
(fma.f64 (/.f64 #s(literal -1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))))) |
(fma.f64 (/.f64 #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 x (/.f64 x (-.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 (*.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 (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 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 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 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 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (*.f64 x (/.f64 x (-.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 #s(literal 1/3 binary64) x) |
(+.f64 x #s(literal 1/3 binary64)) |
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
#s(approx (+ x (/ 1 3)) x) |
(*.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)) |
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(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 #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))))) |
Compiled 5 365 to 670 computations (87.5% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 223 | 1 | 224 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 223 | 6 | 229 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 76.9% | (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)))) |
| ▶ | 53.7% | (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)))) |
| ✓ | 78.5% | (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) |
| ✓ | 100.0% | (+.f64 x #s(literal 1/3 binary64)) |
| ✓ | 49.4% | #s(approx (+ x (/ 1 3)) x) |
| ✓ | 51.5% | #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
Compiled 70 to 50 computations (28.6% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 9 binary64) x) | |
| cost-diff | 0 | #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 64 |
| 0 | 24 | 64 |
| 1 | 35 | 64 |
| 2 | 72 | 64 |
| 3 | 154 | 64 |
| 4 | 237 | 64 |
| 5 | 252 | 64 |
| 6 | 263 | 64 |
| 7 | 265 | 64 |
| 8 | 267 | 64 |
| 9 | 275 | 64 |
| 10 | 280 | 64 |
| 0 | 280 | 64 |
| 1× | iter limit |
| 1× | saturated |
| 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 |
|---|
(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 #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 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))) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #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)) |
(fma.f64 (-.f64 x #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) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0234375 | (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) | |
| accuracy | 0.557349638101655 | (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) | |
| accuracy | 13.79527956187563 | (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)))) | |
| accuracy | 30.90414893662711 | #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
| 40.0ms | 243× | 0 | valid |
| 2.0ms | 9× | 1 | valid |
| 2.0ms | 4× | 2 | valid |
Compiled 64 to 16 computations (75% saved)
const: 9.0ms (36.2% of total)ival-mult: 7.0ms (28.2% of total)ival-div: 4.0ms (16.1% of total)ival-add: 2.0ms (8% of total)adjust: 1.0ms (4% of total)ival-sub: 1.0ms (4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 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) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.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 x (-.f64 x #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 (+ (* 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 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 (+ (* 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)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | inf | ((+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (* x x) (/ x (+ (* x (- x 1/3)) 1/9)) (* 9 x) (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (+ (* x (- x 1/3)) 1/9)) |
| 2.0ms | x | @ | -inf | ((+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (* x x) (/ x (+ (* x (- x 1/3)) 1/9)) (* 9 x) (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (+ (* x (- x 1/3)) 1/9)) |
| 1.0ms | x | @ | 0 | ((+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (* x x) (/ x (+ (* x (- x 1/3)) 1/9)) (* 9 x) (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (+ (* x (- x 1/3)) 1/9)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 159 | 647 |
| 1 | 436 | 609 |
| 2 | 1524 | 599 |
| 3 | 7321 | 599 |
| 0 | 8444 | 557 |
| 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 (+ (* 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 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 (+ (* 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)))))) |
| 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 (+ (* 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 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 #s(literal 1/81 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2187 binary64) x) #s(literal 1/729 binary64)) x) x)) 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 (+ (* 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 #s(literal 1/81 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2187 binary64) x) #s(literal 1/729 binary64)) x) x)) 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 56 |
| 0 | 24 | 56 |
| 1 | 80 | 56 |
| 0 | 549 | 56 |
| 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) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.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 x (-.f64 x #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))) |
#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)) |
(*.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))))) |
(/.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)) |
Compiled 3 117 to 327 computations (89.5% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 87 | 1 | 88 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 88 | 6 | 94 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 76.9% | (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)))) |
| ▶ | 53.5% | (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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
| ✓ | 78.5% | (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) |
| ✓ | 100.0% | (+.f64 x #s(literal 1/3 binary64)) |
| ✓ | 49.4% | #s(approx (+ x (/ 1 3)) x) |
| ✓ | 51.5% | #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
Compiled 76 to 50 computations (34.2% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 9 binary64) x) | |
| cost-diff | 0 | #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 85 |
| 0 | 24 | 85 |
| 1 | 37 | 85 |
| 2 | 79 | 85 |
| 3 | 169 | 85 |
| 4 | 259 | 85 |
| 5 | 274 | 85 |
| 6 | 285 | 85 |
| 7 | 287 | 85 |
| 8 | 291 | 85 |
| 9 | 293 | 85 |
| 0 | 293 | 80 |
| 1× | iter limit |
| 1× | saturated |
| 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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) |
#s(literal 1/27 binary64) |
#s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) |
#s(literal -1/3 binary64) |
#s(literal 1/9 binary64) |
| Outputs |
|---|
(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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) |
#s(literal 1/27 binary64) |
#s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) |
#s(literal -1/3 binary64) |
#s(literal 1/9 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.557349638101655 | (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) | |
| accuracy | 13.79527956187563 | (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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) | |
| accuracy | 30.689145773920707 | #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) | |
| accuracy | 30.90414893662711 | #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
| 107.0ms | 243× | 0 | valid |
| 47.0ms | 9× | 1 | valid |
| 2.0ms | 4× | 2 | valid |
Compiled 66 to 19 computations (71.2% saved)
const: 13.0ms (42.2% of total)ival-mult: 8.0ms (26% of total)ival-div: 3.0ms (9.7% of total)ival-add: 3.0ms (9.7% of total)adjust: 1.0ms (3.2% of total)ival-sub: 1.0ms (3.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
(*.f64 x x) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
#s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
(/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #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 (+ (* 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 (+ (* 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 (/ 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) (/ 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 (/ 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 (/ 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 | |
|---|---|---|---|---|
| 9.0ms | x | @ | 0 | ((+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (* x x) (/ x (+ (* x (- x 1/3)) 1/9)) (* 9 x) (+ (* x (- x 1/3)) 1/9) (/ 1/27 (+ (* x (- x 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 1/3)) 1/9)) (* 9 x) (+ (* x (- x 1/3)) 1/9) (/ 1/27 (+ (* x (- x 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 1/3)) 1/9)) (* 9 x) (+ (* x (- x 1/3)) 1/9) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 159 | 647 |
| 1 | 436 | 609 |
| 2 | 1526 | 599 |
| 3 | 7305 | 599 |
| 0 | 8429 | 557 |
| 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 (+ (* 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 (+ (* 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 (/ 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) (/ 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 (/ 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 (/ 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 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 (* 9 x) #s(hole binary64 (* 9 x))) |
#s(approx (* 9 x) (*.f64 #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 (/ 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) (/ 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 (/ 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 #s(literal 1/81 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1/729 binary64) (/.f64 #s(literal 1/2187 binary64) x)) x) x)) 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 (/ 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 #s(literal 1/81 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1/729 binary64) (/.f64 #s(literal 1/2187 binary64) x)) x) x)) x) #s(literal -1/27 binary64)) (*.f64 x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 76 |
| 0 | 24 | 76 |
| 1 | 93 | 76 |
| 0 | 668 | 71 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
(*.f64 x x) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
#s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
(/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (-.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (-.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #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(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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))) (/.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))))) |
(-.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (-.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (-.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
(+.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #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))) |
#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(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
(/.f64 #s(literal -1/27 binary64) (neg.f64 #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
(/.f64 #s(literal 1/27 binary64) (neg.f64 (neg.f64 #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))) |
(/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) |
(neg.f64 (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
(neg.f64 (/.f64 #s(literal 1/27 binary64) (neg.f64 #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))) |
Compiled 2 827 to 253 computations (91.1% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 69 | 0 | 69 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 69 | 6 | 75 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 76.9% | (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)))) |
| ✓ | 53.5% | (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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
| ✓ | 78.5% | (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) |
| ✓ | 100.0% | (+.f64 x #s(literal 1/3 binary64)) |
| ✓ | 49.4% | #s(approx (+ x (/ 1 3)) x) |
| ✓ | 51.5% | #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
Compiled 182 to 89 computations (51.1% 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))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 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) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #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 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:
| 3.0ms | 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:
| 1.0ms | x |
| 1.0ms | (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 3 | (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 97.4% | 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 |
|---|---|---|
| 51.5% | 1 | (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 51.5% | 1 | x |
Compiled 6 to 6 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 0.014800921058135044 | 94.36781108304396 |
| 9.0ms | -0.4916708481587397 | -1.2728650604542878e-5 |
| 9.0ms | 256× | 0 | valid |
Compiled 232 to 249 computations (-7.3% saved)
ival-div: 2.0ms (53.4% of total)ival-add: 1.0ms (26.7% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)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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