
Time bar (total: 3.8s)
| 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)
| 559.0ms | 8 256× | 0 | valid |
ival-div: 256.0ms (81.8% of total)ival-sub: 39.0ms (12.5% of total)exact: 7.0ms (2.2% of total)ival-true: 5.0ms (1.6% of total)ival-assert: 3.0ms (1% of total)adjust: 2.0ms (0.6% 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 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 0 | 0 | - | 0 | - | (/.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 |
| 30.0ms | 512× | 0 | valid |
Compiled 31 to 19 computations (38.7% saved)
ival-div: 7.0ms (65.5% of total)ival-sub: 2.0ms (18.7% 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 | 9 | 12 |
| 1 | 11 | 12 |
| 2 | 14 | 12 |
| 3 | 24 | 12 |
| 4 | 69 | 12 |
| 5 | 391 | 12 |
| 6 | 5020 | 12 |
| 0 | 5 | 3 |
| 0 | 8 | 3 |
| 1 | 10 | 3 |
| 2 | 13 | 3 |
| 3 | 21 | 3 |
| 4 | 47 | 3 |
| 5 | 183 | 3 |
| 6 | 1426 | 3 |
| 7 | 4404 | 3 |
| 0 | 8075 | 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 x #s(literal 1/3 binary64)) |
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 | 10 | 7 |
| 2 | 13 | 7 |
| 3 | 21 | 7 |
| 4 | 47 | 7 |
| 5 | 183 | 7 |
| 6 | 1426 | 7 |
| 7 | 4404 | 7 |
| 0 | 8075 | 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 x #s(literal 1/3 binary64)) |
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 | 0.015625 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 9.0ms | 256× | 0 | valid |
Compiled 13 to 7 computations (46.2% saved)
ival-div: 2.0ms (56.4% of total)ival-sub: 1.0ms (28.2% 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 (- x 1/3))) |
#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 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
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 | 20 | 31 |
| 1 | 36 | 31 |
| 2 | 82 | 31 |
| 3 | 211 | 31 |
| 4 | 892 | 31 |
| 5 | 5521 | 31 |
| 0 | 9045 | 31 |
| 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 (- x 1/3))) |
#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 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
| 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 (- x 1/3))) |
#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 (/ 1 3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- x (/ 1 3)) (-.f64 x #s(literal 1/3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 4 |
| 0 | 8 | 4 |
| 1 | 84 | 4 |
| 2 | 936 | 4 |
| 0 | 8152 | 4 |
| 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 (cbrt.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (-.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (-.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x #s(literal 1/3 binary64)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (cosh.f64 (log.f64 #s(literal 1/3 binary64)))) (pow.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (sinh.f64 (log.f64 #s(literal 1/3 binary64))))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1/3 binary64))) (cosh.f64 (log.f64 #s(literal 3 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1/3 binary64))) (sinh.f64 (log.f64 #s(literal 3 binary64))))) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/3 binary64))) (-.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/3 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1/3 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1/3 binary64))) (sqrt.f64 (-.f64 x #s(literal 1/3 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x #s(literal 1/3 binary64)))) |
(*.f64 (cbrt.f64 (-.f64 x #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64))) |
(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1/3 binary64))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 x #s(literal 1/3 binary64))))) (sqrt.f64 (log.f64 (-.f64 x #s(literal 1/3 binary64))))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (-.f64 x #s(literal 1/3 binary64))))) |
(pow.f64 (pow.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))) |
(pow.f64 (pow.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 #s(literal 1/3 binary64))) |
(pow.f64 (pow.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (cbrt.f64 #s(literal 1/9 binary64))) (cbrt.f64 #s(literal 1/3 binary64))) |
(pow.f64 (pow.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (cbrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 #s(literal 1/9 binary64))) |
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) |
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1/3 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))) |
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1/3 binary64))) (cbrt.f64 #s(literal 9 binary64))) (cbrt.f64 #s(literal 3 binary64))) |
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1/3 binary64))) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 #s(literal 9 binary64))) |
(pow.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (cbrt.f64 (-.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) |
(pow.f64 (E.f64) (log.f64 (-.f64 x #s(literal 1/3 binary64)))) |
(pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (cbrt.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (cbrt.f64 (fma.f64 x x (fma.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 x (fma.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 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) |
(fma.f64 (*.f64 (cbrt.f64 (cosh.f64 (log.f64 (-.f64 x #s(literal 1/3 binary64))))) (cbrt.f64 (cosh.f64 (log.f64 (-.f64 x #s(literal 1/3 binary64)))))) (cbrt.f64 (cosh.f64 (log.f64 (-.f64 x #s(literal 1/3 binary64))))) (sinh.f64 (log.f64 (-.f64 x #s(literal 1/3 binary64))))) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)))) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 3 binary64)))) |
(cbrt.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) |
(sqrt.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) |
(-.f64 x #s(literal 1/3 binary64)) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x #s(literal 1/3 binary64)))) #s(literal 3 binary64))) |
(exp.f64 (log.f64 (-.f64 x #s(literal 1/3 binary64)))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x #s(literal 1/3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x #s(literal 1/3 binary64)))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x #s(literal 1/3 binary64)))))) |
(+.f64 (cosh.f64 (log.f64 (-.f64 x #s(literal 1/3 binary64)))) (sinh.f64 (log.f64 (-.f64 x #s(literal 1/3 binary64))))) |
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 #s(literal 1/3 binary64)))) |
(+.f64 x (*.f64 (neg.f64 (cbrt.f64 #s(literal 1/9 binary64))) (cbrt.f64 #s(literal 1/3 binary64)))) |
(log.f64 (exp.f64 (-.f64 x #s(literal 1/3 binary64)))) |
Compiled 693 to 187 computations (73% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 58 | 6 | 64 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 59 | 6 | 65 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 67.4% | (/.f64 (-.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)))) |
| ▶ | 76.7% | (-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))) |
| ▶ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| 57.1% | (log.f64 (exp.f64 (-.f64 x #s(literal 1/3 binary64)))) | |
| ▶ | 47.4% | #s(approx (- x (/ 1 3)) x) |
| ▶ | 53.9% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 96 to 78 computations (18.8% saved)
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) | |
| cost-diff | 0 | (/.f64 (-.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)))) | |
| cost-diff | 1 | (fma.f64 x x (fma.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 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))) | |
| 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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 88 |
| 0 | 33 | 88 |
| 1 | 52 | 88 |
| 2 | 104 | 88 |
| 3 | 232 | 88 |
| 4 | 437 | 88 |
| 5 | 724 | 88 |
| 6 | 2035 | 88 |
| 7 | 4976 | 88 |
| 0 | 8123 | 86 |
| 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 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) |
(*.f64 x x) |
x |
(+.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(/.f64 #s(literal 1/9 binary64) (+.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 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
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))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1/9 binary64) |
| Outputs |
|---|
(-.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 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))) |
(-.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1/3 binary64) x)) x) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1/3 binary64) x)) x) |
(*.f64 x x) |
x |
(+.f64 x #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) |
#s(literal 1/9 binary64) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.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 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
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))) |
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) |
(fma.f64 x #s(literal 1/3 binary64) #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 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) | |
| accuracy | 0.00390625 | (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) | |
| accuracy | 0.1796875 | (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) | |
| accuracy | 20.231938496653772 | (/.f64 (-.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)))) | |
| accuracy | 0.0078125 | (-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))) | |
| accuracy | 0.01171875 | (+.f64 x #s(literal 1/3 binary64)) | |
| accuracy | 0.1875 | (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) | |
| accuracy | 15.078778729502476 | (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) | |
| accuracy | 33.65684830860079 | #s(approx (- x (/ 1 3)) x) | |
| accuracy | 29.478052933214272 | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) | |
| accuracy | 0.015625 | (-.f64 x #s(literal 1/3 binary64)) |
| 52.0ms | 256× | 0 | valid |
Compiled 95 to 23 computations (75.8% saved)
const: 14.0ms (35.4% of total)ival-div: 9.0ms (22.8% of total)ival-add: 4.0ms (10.1% of total)ival-sub: 4.0ms (10.1% of total)ival-pow: 4.0ms (10.1% of total)ival-mult: 3.0ms (7.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(approx (- x (/ 1 3)) x) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) |
(*.f64 x x) |
(+.f64 x #s(literal 1/3 binary64)) |
(fma.f64 x x (fma.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 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) |
(fma.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 (- x 1/3))) |
#s(approx (- x (/ 1 3)) #s(hole binary64 -1/3)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (- x 1/3))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (/ 1/9 (+ x 1/3))) #s(hole binary64 -1/3)) |
#s(approx (- (/ (* x x) (+ x 1/3)) (/ 1/9 (+ x 1/3))) #s(hole binary64 (- x 1/3))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* 3 (pow x 2)))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* -9 x))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* x (- (* 27 x) 9)))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ x 1/3) #s(hole binary64 1/3)) |
#s(approx (+ x 1/3) #s(hole binary64 (+ 1/3 x))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 1/9)) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 -1/3)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (- x 1/3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 -1/27)) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (- (pow x 3) 1/27))) |
#s(approx (pow x 3) #s(hole binary64 (pow x 3))) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 1/3)) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (+ 1/3 (* -1 x)))) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (+ 1/3 (* x (- (* 3 x) 1))))) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (+ 1/3 (* x (- (* x (+ 3 (* -9 x))) 1))))) |
#s(approx (+ (* x 1/3) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* x 1/3) 1/9) #s(hole binary64 (+ 1/9 (* 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)))))) |
#s(approx (- x (/ 1 3)) #s(hole binary64 x)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (/ 1/9 (+ x 1/3))) #s(hole binary64 x)) |
#s(approx (- (/ (* x x) (+ x 1/3)) (/ 1/9 (+ x 1/3))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 x)) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* x (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* x (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))) |
#s(approx (+ x 1/3) #s(hole binary64 x)) |
#s(approx (+ x 1/3) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 x)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (/ 1/9 x))) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (* 1/27 (/ 1 x))) x))) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3))))) x))) |
#s(approx (+ (* x 1/3) 1/9) #s(hole binary64 (* 1/3 x))) |
#s(approx (+ (* x 1/3) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x)))))) |
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (/ 1/9 (+ x 1/3))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))))) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)))) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 x)) 1/27) x)) 1/9) x)))) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/243 (/ 1 x)) 1/81) x)) 1/27) x)) 1/9) x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | ((- x 1/3) (- x (/ 1 3)) (- x (/ 1 3)) (- (/ (* x x) (+ x 1/3)) (/ 1/9 (+ x 1/3))) (/ (* x x) (+ x 1/3)) (* x x) (+ x 1/3) (+ (* x x) (+ (* x 1/3) 1/9)) (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (- (pow x 3) 1/27) (pow x 3) (/ 1/9 (+ x 1/3)) (+ (* x 1/3) 1/9)) |
| 3.0ms | x | @ | inf | ((- x 1/3) (- x (/ 1 3)) (- x (/ 1 3)) (- (/ (* x x) (+ x 1/3)) (/ 1/9 (+ x 1/3))) (/ (* x x) (+ x 1/3)) (* x x) (+ x 1/3) (+ (* x x) (+ (* x 1/3) 1/9)) (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (- (pow x 3) 1/27) (pow x 3) (/ 1/9 (+ x 1/3)) (+ (* x 1/3) 1/9)) |
| 2.0ms | x | @ | 0 | ((- x 1/3) (- x (/ 1 3)) (- x (/ 1 3)) (- (/ (* x x) (+ x 1/3)) (/ 1/9 (+ x 1/3))) (/ (* x x) (+ x 1/3)) (* x x) (+ x 1/3) (+ (* x x) (+ (* x 1/3) 1/9)) (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (- (pow x 3) 1/27) (pow x 3) (/ 1/9 (+ x 1/3)) (+ (* x 1/3) 1/9)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 193 | 856 |
| 1 | 465 | 817 |
| 2 | 1272 | 799 |
| 3 | 5337 | 795 |
| 0 | 8726 | 762 |
| 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 (- x 1/3))) |
#s(approx (- x (/ 1 3)) #s(hole binary64 -1/3)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (- x 1/3))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (/ 1/9 (+ x 1/3))) #s(hole binary64 -1/3)) |
#s(approx (- (/ (* x x) (+ x 1/3)) (/ 1/9 (+ x 1/3))) #s(hole binary64 (- x 1/3))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* 3 (pow x 2)))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* -9 x))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* x (- (* 27 x) 9)))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ x 1/3) #s(hole binary64 1/3)) |
#s(approx (+ x 1/3) #s(hole binary64 (+ 1/3 x))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 1/9)) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 -1/3)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (- x 1/3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 -1/27)) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (- (pow x 3) 1/27))) |
#s(approx (pow x 3) #s(hole binary64 (pow x 3))) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 1/3)) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (+ 1/3 (* -1 x)))) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (+ 1/3 (* x (- (* 3 x) 1))))) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (+ 1/3 (* x (- (* x (+ 3 (* -9 x))) 1))))) |
#s(approx (+ (* x 1/3) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* x 1/3) 1/9) #s(hole binary64 (+ 1/9 (* 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)))))) |
#s(approx (- x (/ 1 3)) #s(hole binary64 x)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (/ 1/9 (+ x 1/3))) #s(hole binary64 x)) |
#s(approx (- (/ (* x x) (+ x 1/3)) (/ 1/9 (+ x 1/3))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 x)) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* x (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* x (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))) |
#s(approx (+ x 1/3) #s(hole binary64 x)) |
#s(approx (+ x 1/3) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 x)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (/ 1/9 x))) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (* 1/27 (/ 1 x))) x))) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3))))) x))) |
#s(approx (+ (* x 1/3) 1/9) #s(hole binary64 (* 1/3 x))) |
#s(approx (+ (* x 1/3) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x)))))) |
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (/ 1/9 (+ x 1/3))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))))) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)))) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 x)) 1/27) x)) 1/9) x)))) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/243 (/ 1 x)) 1/81) x)) 1/27) x)) 1/9) 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 (- x 1/3))) |
#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 (- x 1/3))) |
#s(approx (- x 1/3) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (/ 1/9 (+ x 1/3))) #s(hole binary64 -1/3)) |
#s(approx (- (/ (* x x) (+ x 1/3)) (/ 1/9 (+ x 1/3))) #s(literal -1/3 binary64)) |
#s(approx (- (/ (* x x) (+ x 1/3)) (/ 1/9 (+ x 1/3))) #s(hole binary64 (- x 1/3))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (/ 1/9 (+ x 1/3))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* 3 (pow x 2)))) |
#s(approx (/ (* x x) (+ x 1/3)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* -9 x))))) |
#s(approx (/ (* x x) (+ x 1/3)) (*.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) x) x)) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* x (- (* 27 x) 9)))))) |
#s(approx (/ (* x x) (+ x 1/3)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27 binary64) x) #s(literal 9 binary64)) x #s(literal 3 binary64)) x) x)) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))))) |
#s(approx (/ (* x x) (+ x 1/3)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -81 binary64) x #s(literal 27 binary64)) x) #s(literal 9 binary64)) x #s(literal 3 binary64)) x) x)) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (+ x 1/3) #s(hole binary64 1/3)) |
#s(approx (+ x 1/3) #s(literal 1/3 binary64)) |
#s(approx (+ x 1/3) #s(hole binary64 (+ 1/3 x))) |
#s(approx (+ x 1/3) (-.f64 x #s(literal -1/3 binary64))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 1/9)) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(literal 1/9 binary64)) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x))))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 -1/3)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(literal -1/3 binary64)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (- x 1/3))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 -1/27)) |
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (- (pow x 3) 1/27))) |
#s(approx (- (pow x 3) 1/27) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) |
#s(approx (pow x 3) #s(hole binary64 (pow x 3))) |
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 1/3)) |
#s(approx (/ 1/9 (+ x 1/3)) #s(literal 1/3 binary64)) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (+ 1/3 (* -1 x)))) |
#s(approx (/ 1/9 (+ x 1/3)) (-.f64 #s(literal 1/3 binary64) x)) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (+ 1/3 (* x (- (* 3 x) 1))))) |
#s(approx (/ 1/9 (+ x 1/3)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) x #s(literal 1/3 binary64))) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (+ 1/3 (* x (- (* x (+ 3 (* -9 x))) 1))))) |
#s(approx (/ 1/9 (+ x 1/3)) (fma.f64 (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) x #s(literal 1/3 binary64))) |
#s(approx (+ (* x 1/3) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* x 1/3) 1/9) #s(literal 1/9 binary64)) |
#s(approx (+ (* x 1/3) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* x 1/3) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (- x 1/3) #s(hole binary64 x)) |
#s(approx (- x 1/3) x) |
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- x 1/3) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- x (/ 1 3)) #s(hole binary64 x)) |
#s(approx (- x 1/3) x) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- x 1/3) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (/ 1/9 (+ x 1/3))) #s(hole binary64 x)) |
#s(approx (- (/ (* x x) (+ x 1/3)) (/ 1/9 (+ x 1/3))) x) |
#s(approx (- (/ (* x x) (+ x 1/3)) (/ 1/9 (+ x 1/3))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (/ 1/9 (+ x 1/3))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 x)) |
#s(approx (/ (* x x) (+ x 1/3)) x) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (+ x 1/3)) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* x (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (+ x 1/3)) (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal -1/3 binary64))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* x (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))) |
#s(approx (/ (* x x) (+ x 1/3)) (fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/27 binary64) x) #s(literal -1/9 binary64)) x) #s(literal 1/3 binary64)) 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 1/3) 1/9)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (*.f64 x x)) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)) |
#s(approx (+ (* x 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)) (*.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 (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 x)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) x) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (- (pow x 3) 1/27) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (- (pow x 3) 1/27) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (/ 1/9 x))) |
#s(approx (/ 1/9 (+ x 1/3)) (/.f64 #s(literal 1/9 binary64) x)) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) |
#s(approx (/ 1/9 (+ x 1/3)) (/.f64 (-.f64 (/.f64 #s(literal -1/27 binary64) x) #s(literal -1/9 binary64)) x)) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (* 1/27 (/ 1 x))) x))) |
#s(approx (/ 1/9 (+ x 1/3)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) #s(literal -1/9 binary64)) x)) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3))))) x))) |
#s(approx (/ 1/9 (+ x 1/3)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/243 binary64) x) #s(literal 1/81 binary64)) x) #s(literal 1/27 binary64)) x) #s(literal -1/9 binary64)) x)) |
#s(approx (+ (* x 1/3) 1/9) #s(hole binary64 (* 1/3 x))) |
#s(approx (+ (* x 1/3) 1/9) (*.f64 #s(literal 1/3 binary64) x)) |
#s(approx (+ (* x 1/3) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x)))))) |
#s(approx (+ (* x 1/3) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
#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 (/ 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 (+ x 1/3))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (/ 1/9 (+ x 1/3))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (* x x) (+ x 1/3)) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1))))) |
#s(approx (/ (* x x) (+ x 1/3)) (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal -1/3 binary64))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1))))) |
#s(approx (/ (* x x) (+ x 1/3)) (fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/27 binary64) x) #s(literal -1/9 binary64)) x) #s(literal 1/3 binary64)) x) x x)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))))) |
#s(approx (- (pow x 3) 1/27) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)))) |
#s(approx (/ 1/9 (+ x 1/3)) (/.f64 (-.f64 (/.f64 #s(literal -1/27 binary64) x) #s(literal -1/9 binary64)) x)) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 x)) 1/27) x)) 1/9) x)))) |
#s(approx (/ 1/9 (+ x 1/3)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) #s(literal -1/9 binary64)) x)) |
#s(approx (/ 1/9 (+ x 1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/243 (/ 1 x)) 1/81) x)) 1/27) x)) 1/9) x)))) |
#s(approx (/ 1/9 (+ x 1/3)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/243 binary64) x) #s(literal 1/81 binary64)) x) #s(literal 1/27 binary64)) x) #s(literal -1/9 binary64)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 76 |
| 0 | 33 | 56 |
| 0 | 397 | 56 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 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 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) |
(*.f64 x x) |
(+.f64 x #s(literal 1/3 binary64)) |
(fma.f64 x x (fma.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 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1/3 binary64))) (sqrt.f64 (-.f64 x #s(literal 1/3 binary64)))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 x #s(literal 1/3 binary64))) (cbrt.f64 (-.f64 x #s(literal 1/3 binary64)))) (cbrt.f64 (-.f64 x #s(literal 1/3 binary64)))) |
(pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))) (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (*.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))) (fma.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))) (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 (+.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(cbrt.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 x #s(literal 1/3 binary64))) (-.f64 x #s(literal 1/3 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
(-.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) |
(-.f64 x #s(literal 1/3 binary64)) |
(exp.f64 (log.f64 (-.f64 x #s(literal 1/3 binary64)))) |
(log.f64 (exp.f64 (-.f64 x #s(literal 1/3 binary64)))) |
(*.f64 (sqrt.f64 #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))) (sqrt.f64 #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)))) |
(*.f64 (*.f64 (cbrt.f64 #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))) (cbrt.f64 #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)))) (cbrt.f64 #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)))) |
(pow.f64 #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
(cbrt.f64 (*.f64 (*.f64 #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))) #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)))) |
(exp.f64 (log.f64 #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)))) |
(log.f64 (exp.f64 #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)))) |
(*.f64 (sqrt.f64 #s(approx (- x (/ 1 3)) x)) (sqrt.f64 #s(approx (- x (/ 1 3)) x))) |
(*.f64 (*.f64 (cbrt.f64 #s(approx (- x (/ 1 3)) x)) (cbrt.f64 #s(approx (- x (/ 1 3)) x))) (cbrt.f64 #s(approx (- x (/ 1 3)) x))) |
(pow.f64 #s(approx (- x (/ 1 3)) x) #s(literal 1 binary64)) |
#s(approx (- x (/ 1 3)) x) |
(cbrt.f64 (*.f64 (*.f64 #s(approx (- x (/ 1 3)) x) #s(approx (- x (/ 1 3)) x)) #s(approx (- x (/ 1 3)) x))) |
(exp.f64 (log.f64 #s(approx (- x (/ 1 3)) x))) |
(log.f64 (exp.f64 #s(approx (- x (/ 1 3)) x))) |
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1/3 binary64))) (sqrt.f64 (-.f64 x #s(literal 1/3 binary64)))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 x #s(literal 1/3 binary64))) (cbrt.f64 (-.f64 x #s(literal 1/3 binary64)))) (cbrt.f64 (-.f64 x #s(literal 1/3 binary64)))) |
(pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))) (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (*.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))) (fma.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))) (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 (+.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(cbrt.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 x #s(literal 1/3 binary64))) (-.f64 x #s(literal 1/3 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
(-.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) |
(-.f64 x #s(literal 1/3 binary64)) |
(exp.f64 (log.f64 (-.f64 x #s(literal 1/3 binary64)))) |
(log.f64 (exp.f64 (-.f64 x #s(literal 1/3 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (cbrt.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))))) (cbrt.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))))) |
(*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))) |
(pow.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (+.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))) (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))))) |
(exp.f64 (log.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))))) |
(log.f64 (exp.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 x x)) (sqrt.f64 (*.f64 x x))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 x x))) |
(*.f64 x x) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) |
(exp.f64 (log.f64 (*.f64 x x))) |
(log.f64 (exp.f64 (*.f64 x x))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1/3 binary64) x)) (cbrt.f64 (+.f64 #s(literal 1/3 binary64) x))) (cbrt.f64 (+.f64 #s(literal 1/3 binary64) x))) |
(pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) |
(cbrt.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 1/3 binary64) x))) |
(exp.f64 (log.f64 (+.f64 #s(literal 1/3 binary64) x))) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 x #s(literal 1/3 binary64)) |
(log.f64 (exp.f64 (+.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (hypot.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) x) (hypot.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) x)) |
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (cbrt.f64 (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) (cbrt.f64 (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
(pow.f64 (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (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)))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 (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))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 x x)) (sqrt.f64 (*.f64 x x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (*.f64 x x)) |
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 x x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (*.f64 x x)) |
(fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(cbrt.f64 (*.f64 (*.f64 (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
(exp.f64 (log.f64 (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
(+.f64 (fma.f64 x x (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/9 binary64)) |
(+.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x)) |
(+.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(log.f64 (exp.f64 (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1/3 binary64))) (sqrt.f64 (-.f64 x #s(literal 1/3 binary64)))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 x #s(literal 1/3 binary64))) (cbrt.f64 (-.f64 x #s(literal 1/3 binary64)))) (cbrt.f64 (-.f64 x #s(literal 1/3 binary64)))) |
(pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))) (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (*.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))) (fma.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))) (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 (+.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(cbrt.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 x #s(literal 1/3 binary64))) (-.f64 x #s(literal 1/3 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
(-.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) |
(-.f64 x #s(literal 1/3 binary64)) |
(exp.f64 (log.f64 (-.f64 x #s(literal 1/3 binary64)))) |
(log.f64 (exp.f64 (-.f64 x #s(literal 1/3 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) |
(pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/729 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/19683 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))))) |
(cbrt.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) |
(exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) |
(log.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(cbrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
(exp.f64 (log.f64 (pow.f64 x #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(log.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))) (cbrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))) |
(pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 (+.f64 #s(literal 1/3 binary64) x))) |
(/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) |
(cbrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))) |
(log.f64 (exp.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(*.f64 (*.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/81 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) #s(literal 1/729 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x)) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x))) (cbrt.f64 (*.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)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(cbrt.f64 (*.f64 (*.f64 (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))) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(exp.f64 (log.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) |
(+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) |
(log.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
Compiled 3 128 to 565 computations (81.9% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 170 | 3 | 173 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 172 | 7 | 179 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 44.6% | (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(approx (+ (* x 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))) |
| ▶ | 54.6% | (/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) |
| ✓ | 76.7% | (-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))) |
| ▶ | 64.5% | (-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))))) |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 47.4% | #s(approx (- x (/ 1 3)) x) |
| ✓ | 53.9% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 94 to 68 computations (27.7% saved)
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* x 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)) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(approx (+ (* x 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))) | |
| cost-diff | 0 | (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) | |
| cost-diff | 0 | #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) | |
| cost-diff | 1 | (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) | |
| cost-diff | 5 | (-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))))) | |
| cost-diff | 8 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 198 |
| 0 | 51 | 182 |
| 1 | 82 | 182 |
| 2 | 165 | 182 |
| 3 | 341 | 178 |
| 4 | 597 | 178 |
| 5 | 810 | 178 |
| 6 | 945 | 178 |
| 7 | 1000 | 178 |
| 8 | 1021 | 178 |
| 9 | 1032 | 178 |
| 10 | 1036 | 178 |
| 0 | 1036 | 173 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))))) |
(/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) |
(*.f64 x x) |
x |
(+.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))) |
(sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) |
(/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) |
#s(literal 1/9 binary64) |
(+.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) |
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) |
#s(literal -1/27 binary64) |
(fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
x |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1/9 binary64) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(approx (+ (* x 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))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 1/27 binary64) |
#s(approx (+ (* x 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)) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) |
(-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/9 binary64) (*.f64 x x)) |
#s(literal 1/9 binary64) |
(*.f64 x x) |
#s(literal -1 binary64) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1/3 binary64) x)) x) |
(*.f64 x x) |
x |
(+.f64 x #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) |
(sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) |
(/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) |
#s(literal 1/9 binary64) |
(+.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) |
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))) |
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) |
#s(literal -1/27 binary64) |
(fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) |
x |
(fma.f64 x #s(literal 1/3 binary64) #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) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(approx (+ (* x 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))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 1/27 binary64) |
#s(approx (+ (* x 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)) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) |
(-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/9 binary64) (*.f64 x x)) |
#s(literal 1/9 binary64) |
(*.f64 x x) |
#s(literal -1 binary64) |
#s(literal 1/3 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.23046875 | (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x) | |
| accuracy | 0.5292833795656441 | (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) | |
| accuracy | 9.839619430578265 | (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(approx (+ (* x 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))) | |
| accuracy | 14.112466893398777 | (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) | |
| accuracy | 0.00390625 | (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) | |
| accuracy | 0.1015625 | (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) | |
| accuracy | 9.839619430578265 | (/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) | |
| accuracy | 14.690784162604574 | #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) | |
| accuracy | 0.03515625 | (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) | |
| accuracy | 0.10546875 | (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) | |
| accuracy | 0.13347626953688405 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))) | |
| accuracy | 7.817913483836346 | (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) |
| 50.0ms | 196× | 0 | valid |
| 44.0ms | 60× | 0 | invalid |
Compiled 181 to 28 computations (84.5% saved)
const: 17.0ms (36.9% of total)ival-mult: 8.0ms (17.4% of total)ival-div: 6.0ms (13% of total)ival-add: 6.0ms (13% of total)ival-pow: 4.0ms (8.7% of total)ival-sub: 3.0ms (6.5% of total)ival-sqrt: 2.0ms (4.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))))) |
(/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) |
(*.f64 x x) |
(fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) |
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) |
(fma.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)) #s(approx (+ (* x 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))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(approx (+ (* x 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)) |
(/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) |
(sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/9 binary64) (*.f64 x x)) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x) |
| Outputs |
|---|
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 1/3)) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (+ 1/3 (* -1 x)))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (+ 1/3 (* x (- (* 3 x) 1))))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (+ 1/3 (* x (- (* x (+ 3 (* -9 x))) 1))))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 -1/3)) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 (- x 1/3))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* 3 (pow x 2)))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* -9 x))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* x (- (* 27 x) 9)))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 1/9)) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 -1/3)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (- x 1/3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 -1/27)) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (- (pow x 3) 1/27))) |
#s(approx (+ (* x 1/3) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* x 1/3) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (pow x 3) #s(hole binary64 (pow x 3))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 1/3)) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (+ 1/3 (* -1 x)))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (+ 1/3 (* x (- (* 3 x) 1))))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (+ 1/3 (* x (- (* x (+ 3 (* -9 x))) 1))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (* 1/3 (sqrt 3)))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (+ (* -3/2 (/ x (sqrt 3))) (* 1/3 (sqrt 3))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (+ (* 1/3 (sqrt 3)) (* x (- (* 1/6 (/ (* x (- 27 (* 81/4 (/ 1 (pow (sqrt 3) 2))))) (sqrt 3))) (* 3/2 (/ 1 (sqrt 3)))))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (+ (* 1/3 (sqrt 3)) (* x (- (* x (+ (* -1/6 (/ (* x (+ 81 (* -9/2 (/ (- 27 (* 81/4 (/ 1 (pow (sqrt 3) 2)))) (pow (sqrt 3) 2))))) (sqrt 3))) (* 1/6 (/ (- 27 (* 81/4 (/ 1 (pow (sqrt 3) 2)))) (sqrt 3))))) (* 3/2 (/ 1 (sqrt 3)))))))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (/ 1/9 x))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (/ (+ 1/9 (* 1/3 x)) x))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (/ (+ 1/9 (* x (+ 1/3 x))) x))) |
#s(approx (/ 1/9 (* x x)) #s(hole binary64 (/ 1/9 (pow x 2)))) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 1/9)) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x))))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (/ 1/9 x))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (* 1/27 (/ 1 x))) x))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3))))) x))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 x)) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 x)) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* x (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* x (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 x)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (+ (* x 1/3) 1/9) #s(hole binary64 (* 1/3 x))) |
#s(approx (+ (* x 1/3) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x)))))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (/ 1/9 x))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (* 1/27 (/ 1 x))) x))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3))))) x))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (* 1/3 (sqrt (/ 1 x))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (+ (* -1/18 (sqrt (/ 1 (pow x 3)))) (* 1/3 (sqrt (/ 1 x)))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (+ (* -1/18 (sqrt (/ 1 (pow x 3)))) (+ (* 1/54 (sqrt (/ 1 (pow x 5)))) (* 1/3 (sqrt (/ 1 x))))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow x 7))) (+ 1/27 (* 1/36 x)))) (+ (* -1/18 (sqrt (/ 1 (pow x 3)))) (+ (* 1/54 (sqrt (/ 1 (pow x 5)))) (* 1/3 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 x)) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (* x (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 (pow x 2))) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 x)) 1/27) x)) 1/9) x)))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/243 (/ 1 x)) 1/81) x)) 1/27) x)) 1/9) x)))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 x)) 1/27) x)) 1/9) x)))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/243 (/ 1 x)) 1/81) x)) 1/27) x)) 1/9) x)))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (+ (* -1/18 (sqrt (/ 1 (pow x 3)))) (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (+ (* -1/18 (sqrt (/ 1 (pow x 3)))) (+ (* 1/54 (sqrt (/ 1 (pow x 5)))) (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/54 (sqrt x)) (* 1/6 (* (sqrt (/ 1 x)) (+ 1/27 (* -1/36 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/18 (sqrt (/ 1 (pow x 3)))) (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | ((* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) (/ (* x x) (+ x 1/3)) (* x x) (+ (* x x) (+ (* x 1/3) 1/9)) (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (- (pow x 3) 1/27) (+ (* x 1/3) 1/9) (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (- (pow x 3) 1/27) (pow x 3) (+ (* x x) (+ (* x 1/3) 1/9)) (/ 1/9 (+ 1/3 x)) (sqrt (/ 1/9 (+ 1/3 x))) (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) (/ 1/9 (* x x)) (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x)) |
| 3.0ms | x | @ | -inf | ((* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) (/ (* x x) (+ x 1/3)) (* x x) (+ (* x x) (+ (* x 1/3) 1/9)) (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (- (pow x 3) 1/27) (+ (* x 1/3) 1/9) (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (- (pow x 3) 1/27) (pow x 3) (+ (* x x) (+ (* x 1/3) 1/9)) (/ 1/9 (+ 1/3 x)) (sqrt (/ 1/9 (+ 1/3 x))) (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) (/ 1/9 (* x x)) (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x)) |
| 3.0ms | x | @ | inf | ((* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) (/ (* x x) (+ x 1/3)) (* x x) (+ (* x x) (+ (* x 1/3) 1/9)) (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (- (pow x 3) 1/27) (+ (* x 1/3) 1/9) (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (- (pow x 3) 1/27) (pow x 3) (+ (* x x) (+ (* x 1/3) 1/9)) (/ 1/9 (+ 1/3 x)) (sqrt (/ 1/9 (+ 1/3 x))) (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) (/ 1/9 (* x x)) (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 316 | 1535 |
| 1 | 766 | 1425 |
| 2 | 2402 | 1353 |
| 0 | 8336 | 1283 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 1/3)) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (+ 1/3 (* -1 x)))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (+ 1/3 (* x (- (* 3 x) 1))))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (+ 1/3 (* x (- (* x (+ 3 (* -9 x))) 1))))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 -1/3)) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 (- x 1/3))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* 3 (pow x 2)))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* -9 x))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* x (- (* 27 x) 9)))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 1/9)) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 -1/3)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (- x 1/3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 -1/27)) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (- (pow x 3) 1/27))) |
#s(approx (+ (* x 1/3) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* x 1/3) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (pow x 3) #s(hole binary64 (pow x 3))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 1/3)) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (+ 1/3 (* -1 x)))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (+ 1/3 (* x (- (* 3 x) 1))))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (+ 1/3 (* x (- (* x (+ 3 (* -9 x))) 1))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (* 1/3 (sqrt 3)))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (+ (* -3/2 (/ x (sqrt 3))) (* 1/3 (sqrt 3))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (+ (* 1/3 (sqrt 3)) (* x (- (* 1/6 (/ (* x (- 27 (* 81/4 (/ 1 (pow (sqrt 3) 2))))) (sqrt 3))) (* 3/2 (/ 1 (sqrt 3)))))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (+ (* 1/3 (sqrt 3)) (* x (- (* x (+ (* -1/6 (/ (* x (+ 81 (* -9/2 (/ (- 27 (* 81/4 (/ 1 (pow (sqrt 3) 2)))) (pow (sqrt 3) 2))))) (sqrt 3))) (* 1/6 (/ (- 27 (* 81/4 (/ 1 (pow (sqrt 3) 2)))) (sqrt 3))))) (* 3/2 (/ 1 (sqrt 3)))))))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (/ 1/9 x))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (/ (+ 1/9 (* 1/3 x)) x))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (/ (+ 1/9 (* x (+ 1/3 x))) x))) |
#s(approx (/ 1/9 (* x x)) #s(hole binary64 (/ 1/9 (pow x 2)))) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 1/9)) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x))))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (/ 1/9 x))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (* 1/27 (/ 1 x))) x))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3))))) x))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 x)) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 x)) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* x (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* x (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 x)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (+ (* x 1/3) 1/9) #s(hole binary64 (* 1/3 x))) |
#s(approx (+ (* x 1/3) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x)))))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (/ 1/9 x))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (* 1/27 (/ 1 x))) x))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3))))) x))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (* 1/3 (sqrt (/ 1 x))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (+ (* -1/18 (sqrt (/ 1 (pow x 3)))) (* 1/3 (sqrt (/ 1 x)))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (+ (* -1/18 (sqrt (/ 1 (pow x 3)))) (+ (* 1/54 (sqrt (/ 1 (pow x 5)))) (* 1/3 (sqrt (/ 1 x))))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow x 7))) (+ 1/27 (* 1/36 x)))) (+ (* -1/18 (sqrt (/ 1 (pow x 3)))) (+ (* 1/54 (sqrt (/ 1 (pow x 5)))) (* 1/3 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 x)) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (* x (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 (pow x 2))) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 x)) 1/27) x)) 1/9) x)))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/243 (/ 1 x)) 1/81) x)) 1/27) x)) 1/9) x)))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 x)) 1/27) x)) 1/9) x)))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/243 (/ 1 x)) 1/81) x)) 1/27) x)) 1/9) x)))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (+ (* -1/18 (sqrt (/ 1 (pow x 3)))) (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (+ (* -1/18 (sqrt (/ 1 (pow x 3)))) (+ (* 1/54 (sqrt (/ 1 (pow x 5)))) (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/54 (sqrt x)) (* 1/6 (* (sqrt (/ 1 x)) (+ 1/27 (* -1/36 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/18 (sqrt (/ 1 (pow x 3)))) (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1))))) |
| Outputs |
|---|
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 1/3)) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(literal 1/3 binary64)) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (+ 1/3 (* -1 x)))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) (-.f64 #s(literal 1/3 binary64) x)) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (+ 1/3 (* x (- (* 3 x) 1))))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) x #s(literal 1/3 binary64))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (+ 1/3 (* x (- (* x (+ 3 (* -9 x))) 1))))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) x #s(literal 1/3 binary64))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 -1/3)) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(literal -1/3 binary64)) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 (- x 1/3))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* 3 (pow x 2)))) |
#s(approx (/ (* x x) (+ x 1/3)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* -9 x))))) |
#s(approx (/ (* x x) (+ x 1/3)) (*.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) x) x)) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* x (- (* 27 x) 9)))))) |
#s(approx (/ (* x x) (+ x 1/3)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) x) x)) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))))) |
#s(approx (/ (* x x) (+ x 1/3)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -81 binary64) x #s(literal 27 binary64)) x #s(literal -9 binary64)) x #s(literal 3 binary64)) x) x)) |
#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 1/9)) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(literal 1/9 binary64)) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x))))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 -1/3)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(literal -1/3 binary64)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (- x 1/3))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 -1/27)) |
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (- (pow x 3) 1/27))) |
#s(approx (- (pow x 3) 1/27) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) |
#s(approx (+ (* x 1/3) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* x 1/3) 1/9) #s(literal 1/9 binary64)) |
#s(approx (+ (* x 1/3) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* x 1/3) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (pow x 3) #s(hole binary64 (pow x 3))) |
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 1/3)) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(literal 1/3 binary64)) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (+ 1/3 (* -1 x)))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) (-.f64 #s(literal 1/3 binary64) x)) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (+ 1/3 (* x (- (* 3 x) 1))))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) x #s(literal 1/3 binary64))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (+ 1/3 (* x (- (* x (+ 3 (* -9 x))) 1))))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) x #s(literal 1/3 binary64))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (* 1/3 (sqrt 3)))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (+ (* -3/2 (/ x (sqrt 3))) (* 1/3 (sqrt 3))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) (fma.f64 (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 3 binary64))) x (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64)))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (+ (* 1/3 (sqrt 3)) (* x (- (* 1/6 (/ (* x (- 27 (* 81/4 (/ 1 (pow (sqrt 3) 2))))) (sqrt 3))) (* 3/2 (/ 1 (sqrt 3)))))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) (fma.f64 (/.f64 (fma.f64 x #s(literal 27/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 3 binary64))) x (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64)))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (+ (* 1/3 (sqrt 3)) (* x (- (* x (+ (* -1/6 (/ (* x (+ 81 (* -9/2 (/ (- 27 (* 81/4 (/ 1 (pow (sqrt 3) 2)))) (pow (sqrt 3) 2))))) (sqrt 3))) (* 1/6 (/ (- 27 (* 81/4 (/ 1 (pow (sqrt 3) 2)))) (sqrt 3))))) (* 3/2 (/ 1 (sqrt 3)))))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -135/16 binary64) x #s(literal 27/8 binary64)) (sqrt.f64 #s(literal 3 binary64))) x (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 3 binary64)))) x (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64)))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (/ 1/9 x))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) (/.f64 #s(literal 1/9 binary64) x)) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (/ (+ 1/9 (* 1/3 x)) x))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (/ (+ 1/9 (* x (+ 1/3 x))) x))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) x) #s(literal -1/3 binary64))) |
#s(approx (/ 1/9 (* x x)) #s(hole binary64 (/ 1/9 (pow x 2)))) |
#s(approx (/ 1/9 (* x x)) (/.f64 (/.f64 #s(literal 1/9 binary64) x) x)) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 1/9)) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(literal 1/9 binary64)) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x))))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (/ 1/9 x))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) (/.f64 #s(literal 1/9 binary64) x)) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) (/.f64 (-.f64 (/.f64 #s(literal -1/27 binary64) x) #s(literal -1/9 binary64)) x)) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (* 1/27 (/ 1 x))) x))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) #s(literal -1/9 binary64)) x)) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3))))) x))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) (-.f64 (/.f64 #s(literal 1/243 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/9 binary64))) x)) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 x)) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) x) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 x)) |
#s(approx (/ (* x x) (+ x 1/3)) x) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (+ x 1/3)) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* x (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (+ x 1/3)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) x) #s(literal 1/3 binary64))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* x (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))) |
#s(approx (/ (* x x) (+ x 1/3)) (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) x))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (*.f64 x x)) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)) |
#s(approx (+ (* x 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)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 x)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) x) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (- (pow x 3) 1/27) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (- (pow x 3) 1/27) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* x 1/3) 1/9) #s(hole binary64 (* 1/3 x))) |
#s(approx (+ (* x 1/3) 1/9) (*.f64 #s(literal 1/3 binary64) x)) |
#s(approx (+ (* x 1/3) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x)))))) |
#s(approx (+ (* x 1/3) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (/ 1/9 x))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) (/.f64 #s(literal 1/9 binary64) x)) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) (/.f64 (-.f64 (/.f64 #s(literal -1/27 binary64) x) #s(literal -1/9 binary64)) x)) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (* 1/27 (/ 1 x))) x))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) #s(literal -1/9 binary64)) x)) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3))))) x))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) (-.f64 (/.f64 #s(literal 1/243 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/9 binary64))) x)) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (* 1/3 (sqrt (/ 1 x))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (+ (* -1/18 (sqrt (/ 1 (pow x 3)))) (* 1/3 (sqrt (/ 1 x)))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (+ (* -1/18 (sqrt (/ 1 (pow x 3)))) (+ (* 1/54 (sqrt (/ 1 (pow x 5)))) (* 1/3 (sqrt (/ 1 x))))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/54 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow x 7))) (+ 1/27 (* 1/36 x)))) (+ (* -1/18 (sqrt (/ 1 (pow x 3)))) (+ (* 1/54 (sqrt (/ 1 (pow x 5)))) (* 1/3 (sqrt (/ 1 x)))))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/36 binary64) x #s(literal 1/27 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/54 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 x)) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) (-.f64 x #s(literal -1/3 binary64))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (* x (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) x) #s(literal -1/3 binary64))) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (*.f64 x x)) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #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)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) (/.f64 (-.f64 (/.f64 #s(literal -1/27 binary64) x) #s(literal -1/9 binary64)) x)) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 x)) 1/27) x)) 1/9) x)))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) #s(literal -1/9 binary64)) x)) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/243 (/ 1 x)) 1/81) x)) 1/27) x)) 1/9) x)))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/243 binary64) x) #s(literal 1/81 binary64)) x) #s(literal -1 binary64) #s(literal -1/27 binary64)) x) #s(literal 1/9 binary64)) x)) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (* x x) (+ x 1/3)) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1))))) |
#s(approx (/ (* x x) (+ x 1/3)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1 binary64)))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1))))) |
#s(approx (/ (* x x) (+ x 1/3)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x) #s(literal 1/3 binary64)) x) #s(literal 1 binary64)))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))))) |
#s(approx (- (pow x 3) 1/27) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) (/.f64 (-.f64 (/.f64 #s(literal -1/27 binary64) x) #s(literal -1/9 binary64)) x)) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 x)) 1/27) x)) 1/9) x)))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) #s(literal -1/9 binary64)) x)) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/243 (/ 1 x)) 1/81) x)) 1/27) x)) 1/9) x)))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/243 binary64) x) #s(literal 1/81 binary64)) x) #s(literal -1 binary64) #s(literal -1/27 binary64)) x) #s(literal 1/9 binary64)) x)) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (+ (* -1/18 (sqrt (/ 1 (pow x 3)))) (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (+ (* -1/18 (sqrt (/ 1 (pow x 3)))) (+ (* 1/54 (sqrt (/ 1 (pow x 5)))) (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/54 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/54 (sqrt x)) (* 1/6 (* (sqrt (/ 1 x)) (+ 1/27 (* -1/36 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/18 (sqrt (/ 1 (pow x 3)))) (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (/ 1/9 (+ 1/3 x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/18 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/36 binary64) #s(literal 1/27 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/54 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1))))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 169 |
| 0 | 51 | 153 |
| 0 | 565 | 153 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))))) |
(/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) |
(*.f64 x x) |
(fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) |
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) |
(fma.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)) #s(approx (+ (* x 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))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(approx (+ (* x 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)) |
(/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) |
(sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/9 binary64) (*.f64 x x)) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x) |
| Outputs |
|---|
(*.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))))) (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))))) |
(*.f64 (fabs.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))))) (fabs.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))))) |
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(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) |
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(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) |
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(pow.f64 (-.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)))) #s(literal 1 binary64)) |
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(*.f64 x x) |
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(fma.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 x x)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
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(exp.f64 (log.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) |
(+.f64 (fma.f64 x x (*.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64)) |
(+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x)) |
(+.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
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(*.f64 (sqrt.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64))) (sqrt.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)))) |
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(fma.f64 (*.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/3 binary64)))) (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64)) |
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(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 #s(approx (+ (* x 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)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(approx (+ (* x 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))) |
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(approx (+ (* x 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))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(approx (+ (* x 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)))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(approx (+ (* x 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))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* x 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))) (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x 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)))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(approx (+ (* x 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))))) |
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(approx (+ (* x 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))))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) |
(pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/729 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/19683 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))))) |
(cbrt.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) |
(exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) |
(log.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(cbrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
(exp.f64 (log.f64 (pow.f64 x #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(log.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (sqrt.f64 #s(approx (+ (* x 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))) (sqrt.f64 #s(approx (+ (* x 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)))) |
(*.f64 (*.f64 (cbrt.f64 #s(approx (+ (* x 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))) (cbrt.f64 #s(approx (+ (* x 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)))) (cbrt.f64 #s(approx (+ (* x 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)))) |
(pow.f64 #s(approx (+ (* x 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(literal 1 binary64)) |
#s(approx (+ (* x 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)) |
(cbrt.f64 (*.f64 (*.f64 #s(approx (+ (* x 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)) (*.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)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x)))) |
(exp.f64 (log.f64 #s(approx (+ (* x 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)))) |
(log.f64 (exp.f64 #s(approx (+ (* x 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)))) |
(*.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))))) (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))))) |
(*.f64 (fabs.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))))) (fabs.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) (cbrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))))) |
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) |
(cbrt.f64 (*.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 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) |
(sqrt.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))))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) |
(log.f64 (exp.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))))) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))))) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))))) |
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(cbrt.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))))) |
(sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))))) |
(log.f64 (exp.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))))) |
(*.f64 (sqrt.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64))) (sqrt.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)))) |
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64))) (cbrt.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)))) (cbrt.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)))) |
(pow.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)) #s(literal 1/9 binary64)) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) #s(literal 1/3 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) #s(literal 1/3 binary64))))) |
(fma.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)) (sqrt.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)) (cbrt.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x))) (cbrt.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)) #s(literal 1/3 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) |
(fma.f64 x (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) |
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)))) |
(exp.f64 (log.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)))) |
(+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)) |
(log.f64 (exp.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (cbrt.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))) |
(pow.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1/9 binary64) x) x) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 (*.f64 x x))) |
(/.f64 #s(literal 1/9 binary64) (*.f64 x x)) |
(cbrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))) |
(log.f64 (exp.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x)) (sqrt.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x)) (cbrt.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x))) (cbrt.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x))) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x) |
(*.f64 x (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64))) |
(pow.f64 (*.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(literal 1 binary64)) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x))) |
(exp.f64 (log.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x))) |
(log.f64 (exp.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x))) |
Compiled 7 696 to 981 computations (87.3% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 252 | 3 | 255 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 0 | 3 |
| Done | 0 | 4 | 4 |
| Total | 255 | 7 | 262 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 44.6% | (/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) #s(approx (+ (* x 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))) |
| ▶ | 53.9% | (/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
| ✓ | 76.7% | (-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))) |
| ▶ | 55.0% | (-.f64 #s(approx (/ (* x x) (+ x 1/3)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))))) |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 47.4% | #s(approx (- x (/ 1 3)) x) |
| ✓ | 53.9% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 109 to 78 computations (28.4% saved)
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) #s(approx (+ (* x 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))) | |
| cost-diff | 2 | (*.f64 (*.f64 x x) x) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* x x) (+ x 1/3)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (/ (* x x) (+ x 1/3)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))))) | |
| cost-diff | 8 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 236 |
| 0 | 54 | 210 |
| 1 | 89 | 206 |
| 2 | 183 | 206 |
| 3 | 365 | 206 |
| 4 | 622 | 206 |
| 5 | 832 | 206 |
| 6 | 957 | 206 |
| 7 | 1009 | 206 |
| 8 | 1026 | 206 |
| 9 | 1033 | 206 |
| 10 | 1037 | 206 |
| 0 | 1037 | 202 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (/ (* x x) (+ x 1/3)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))))) |
#s(approx (/ (* x x) (+ x 1/3)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(*.f64 x x) |
x |
#s(literal 3 binary64) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))) |
(sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) |
(/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) |
#s(literal 1/9 binary64) |
(+.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) |
#s(literal -1/27 binary64) |
#s(approx (+ (* x 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) |
x |
#s(literal 1/9 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) #s(approx (+ (* x 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))) |
(-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(literal 1/27 binary64) |
#s(approx (+ (* x 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)) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) |
(-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/9 binary64) (*.f64 x x)) |
#s(literal 1/9 binary64) |
#s(literal -1 binary64) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
(-.f64 #s(approx (/ (* x x) (+ x 1/3)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))))) |
(-.f64 #s(approx (/ (* x x) (+ x 1/3)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) |
#s(approx (/ (* x x) (+ x 1/3)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
#s(approx (/ (* x x) (+ x 1/3)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal 3 binary64) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) |
(sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) |
(/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) |
#s(literal 1/9 binary64) |
(+.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) |
#s(literal -1/27 binary64) |
#s(approx (+ (* x 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) |
x |
#s(literal 1/9 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) #s(approx (+ (* x 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))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(approx (+ (* x 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))) |
(-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) |
(*.f64 (*.f64 x x) x) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/27 binary64) |
#s(approx (+ (* x 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)) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) |
(-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/9 binary64) (*.f64 x x)) |
#s(literal 1/9 binary64) |
#s(literal -1 binary64) |
#s(literal 1/3 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.23046875 | (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x) | |
| accuracy | 0.5292833795656441 | (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) | |
| accuracy | 9.839619430578265 | (/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) #s(approx (+ (* x 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))) | |
| accuracy | 14.112466893398777 | (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) | |
| accuracy | 0.1015625 | (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) | |
| accuracy | 9.839619430578265 | (/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) | |
| accuracy | 13.957745173106288 | #s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) | |
| accuracy | 14.690784162604574 | #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) | |
| accuracy | 0.10546875 | (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) | |
| accuracy | 0.13347626953688405 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))) | |
| accuracy | 0.1796875 | (*.f64 (*.f64 x x) #s(literal 3 binary64)) | |
| accuracy | 14.400877203931543 | #s(approx (/ (* x x) (+ x 1/3)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
| 64.0ms | 60× | 0 | invalid |
| 55.0ms | 196× | 0 | valid |
Compiled 189 to 34 computations (82% saved)
ival-pow: 53.0ms (51.1% of total)ival-mult: 15.0ms (14.5% of total)const: 13.0ms (12.5% of total)ival-div: 8.0ms (7.7% of total)ival-add: 6.0ms (5.8% of total)ival-sub: 4.0ms (3.9% of total)ival-sqrt: 4.0ms (3.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))) |
(-.f64 #s(approx (/ (* x x) (+ x 1/3)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))))) |
#s(approx (/ (* x x) (+ x 1/3)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) |
#s(approx (+ (* x 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)) |
(*.f64 (*.f64 x x) x) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) #s(approx (+ (* x 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))) |
(-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) |
(*.f64 x x) |
(/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/9 binary64) (*.f64 x x)) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x) |
| Outputs |
|---|
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 1/3)) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (+ 1/3 (* -1 x)))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (+ 1/3 (* x (- (* 3 x) 1))))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (+ 1/3 (* x (- (* x (+ 3 (* -9 x))) 1))))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 -1/3)) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 (- x 1/3))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* 3 (pow x 2)))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* -9 x))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* x (- (* 27 x) 9)))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))))) |
#s(approx (* (* x x) 3) #s(hole binary64 (* 3 (pow x 2)))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 -1/3)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (- x 1/3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 -1/27)) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (- (pow x 3) 1/27))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 1/9)) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x))))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3))) |
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 -1/3)) |
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (- x 1/3))) |
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 -1/27)) |
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 (- (pow x 3) 1/27))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 1/3)) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (+ 1/3 (* -1 x)))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (+ 1/3 (* x (- (* 3 x) 1))))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (+ 1/3 (* x (- (* x (+ 3 (* -9 x))) 1))))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (/ 1/9 x))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (/ (+ 1/9 (* 1/3 x)) x))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (/ (+ 1/9 (* x (+ 1/3 x))) x))) |
#s(approx (/ 1/9 (* x x)) #s(hole binary64 (/ 1/9 (pow x 2)))) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 1/9)) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x))))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (/ 1/9 x))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (* 1/27 (/ 1 x))) x))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3))))) x))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 x)) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 x)) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* x (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* x (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 x)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* 1/3 x))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x)))))) |
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 x)) |
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (/ 1/9 x))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (* 1/27 (/ 1 x))) x))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3))))) x))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 x)) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (* x (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 (pow x 2))) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 x)) 1/27) x)) 1/9) x)))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/243 (/ 1 x)) 1/81) x)) 1/27) x)) 1/9) x)))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))))) |
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 x)) 1/27) x)) 1/9) x)))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/243 (/ 1 x)) 1/81) x)) 1/27) x)) 1/9) x)))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) (/ (* x x) (+ x 1/3)) (* (* x x) 3) (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9)) (+ (* 1/3 x) 1/9) (* (* x x) x) (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (- (* (* x x) x) 1/27) (* x x) (/ 1/9 (+ 1/3 x)) (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) (/ 1/9 (* x x)) (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x)) |
| 2.0ms | x | @ | inf | ((* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) (/ (* x x) (+ x 1/3)) (* (* x x) 3) (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9)) (+ (* 1/3 x) 1/9) (* (* x x) x) (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (- (* (* x x) x) 1/27) (* x x) (/ 1/9 (+ 1/3 x)) (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) (/ 1/9 (* x x)) (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x)) |
| 2.0ms | x | @ | 0 | ((* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) (/ (* x x) (+ x 1/3)) (* (* x x) 3) (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9)) (+ (* 1/3 x) 1/9) (* (* x x) x) (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (- (* (* x x) x) 1/27) (* x x) (/ 1/9 (+ 1/3 x)) (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) (/ 1/9 (* x x)) (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 239 | 1330 |
| 1 | 552 | 1268 |
| 2 | 1439 | 1204 |
| 3 | 5828 | 1180 |
| 0 | 8259 | 1126 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 1/3)) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (+ 1/3 (* -1 x)))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (+ 1/3 (* x (- (* 3 x) 1))))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (+ 1/3 (* x (- (* x (+ 3 (* -9 x))) 1))))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 -1/3)) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 (- x 1/3))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* 3 (pow x 2)))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* -9 x))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* x (- (* 27 x) 9)))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))))) |
#s(approx (* (* x x) 3) #s(hole binary64 (* 3 (pow x 2)))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 -1/3)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (- x 1/3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 -1/27)) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (- (pow x 3) 1/27))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 1/9)) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x))))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3))) |
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 -1/3)) |
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (- x 1/3))) |
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 -1/27)) |
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 (- (pow x 3) 1/27))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 1/3)) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (+ 1/3 (* -1 x)))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (+ 1/3 (* x (- (* 3 x) 1))))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (+ 1/3 (* x (- (* x (+ 3 (* -9 x))) 1))))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (/ 1/9 x))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (/ (+ 1/9 (* 1/3 x)) x))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (/ (+ 1/9 (* x (+ 1/3 x))) x))) |
#s(approx (/ 1/9 (* x x)) #s(hole binary64 (/ 1/9 (pow x 2)))) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 1/9)) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x))))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (/ 1/9 x))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (* 1/27 (/ 1 x))) x))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3))))) x))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 x)) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 x)) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* x (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* x (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 x)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* 1/3 x))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x)))))) |
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 x)) |
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (/ 1/9 x))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (* 1/27 (/ 1 x))) x))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3))))) x))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 x)) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (* x (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 (pow x 2))) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 x)) 1/27) x)) 1/9) x)))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/243 (/ 1 x)) 1/81) x)) 1/27) x)) 1/9) x)))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1))))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))))) |
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 x)) 1/27) x)) 1/9) x)))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/243 (/ 1 x)) 1/81) x)) 1/27) x)) 1/9) x)))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1))))) |
| Outputs |
|---|
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 1/3)) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(literal 1/3 binary64)) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (+ 1/3 (* -1 x)))) |
#s(approx (/ 1/9 (+ 1/3 x)) (-.f64 #s(literal 1/3 binary64) x)) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (+ 1/3 (* x (- (* 3 x) 1))))) |
#s(approx (/ 1/9 (+ 1/3 x)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) x #s(literal 1/3 binary64))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (+ 1/3 (* x (- (* x (+ 3 (* -9 x))) 1))))) |
#s(approx (/ 1/9 (+ 1/3 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) x #s(literal 1/3 binary64))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 -1/3)) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(literal -1/3 binary64)) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 (- x 1/3))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* 3 (pow x 2)))) |
#s(approx (/ (* x x) (+ x 1/3)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* -9 x))))) |
#s(approx (/ (* x x) (+ x 1/3)) (*.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) x) x)) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* x (- (* 27 x) 9)))))) |
#s(approx (/ (* x x) (+ x 1/3)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27 binary64) x) #s(literal 9 binary64)) x #s(literal 3 binary64)) x) x)) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))))) |
#s(approx (/ (* x x) (+ x 1/3)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -81 binary64) x #s(literal 27 binary64)) x) #s(literal 9 binary64)) x #s(literal 3 binary64)) x) x)) |
#s(approx (* (* x x) 3) #s(hole binary64 (* 3 (pow x 2)))) |
#s(approx (* (* x x) 3) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 -1/3)) |
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(literal -1/3 binary64)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (- x 1/3))) |
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 -1/27)) |
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (- (pow x 3) 1/27))) |
#s(approx (- (pow x 3) 1/27) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 1/9)) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(literal 1/9 binary64)) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x))))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* 1/3 x) 1/9) #s(literal 1/9 binary64)) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* 1/3 x) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3))) |
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 -1/3)) |
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(literal -1/3 binary64)) |
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (- x 1/3))) |
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 -1/27)) |
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) |
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 (- (pow x 3) 1/27))) |
#s(approx (- (pow x 3) 1/27) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 1/3)) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(literal 1/3 binary64)) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (+ 1/3 (* -1 x)))) |
#s(approx (/ 1/9 (+ 1/3 x)) (-.f64 #s(literal 1/3 binary64) x)) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (+ 1/3 (* x (- (* 3 x) 1))))) |
#s(approx (/ 1/9 (+ 1/3 x)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) x #s(literal 1/3 binary64))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (+ 1/3 (* x (- (* x (+ 3 (* -9 x))) 1))))) |
#s(approx (/ 1/9 (+ 1/3 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) x #s(literal 1/3 binary64))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (/ 1/9 x))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) (/.f64 #s(literal 1/9 binary64) x)) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (/ (+ 1/9 (* 1/3 x)) x))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (/ (+ 1/9 (* x (+ 1/3 x))) x))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) (-.f64 (-.f64 x (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1/3 binary64))) |
#s(approx (/ 1/9 (* x x)) #s(hole binary64 (/ 1/9 (pow x 2)))) |
#s(approx (/ 1/9 (* x x)) (/.f64 (/.f64 #s(literal 1/9 binary64) x) x)) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 1/9)) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(literal 1/9 binary64)) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x))))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (/ 1/9 x))) |
#s(approx (/ 1/9 (+ 1/3 x)) (/.f64 #s(literal 1/9 binary64) x)) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) |
#s(approx (/ 1/9 (+ 1/3 x)) (/.f64 (-.f64 (/.f64 #s(literal -1/27 binary64) x) #s(literal -1/9 binary64)) x)) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (* 1/27 (/ 1 x))) x))) |
#s(approx (/ 1/9 (+ 1/3 x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) #s(literal -1/9 binary64)) x)) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3))))) x))) |
#s(approx (/ 1/9 (+ 1/3 x)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/243 binary64) x) #s(literal 1/81 binary64)) x) #s(literal 1/27 binary64)) x) #s(literal 1/9 binary64)) (neg.f64 x))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 x)) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) x) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 x)) |
#s(approx (/ (* x x) (+ x 1/3)) x) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (+ x 1/3)) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* x (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (+ x 1/3)) (-.f64 (-.f64 x (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* x (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))) |
#s(approx (/ (* x x) (+ x 1/3)) (fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/27 binary64) x) #s(literal -1/9 binary64)) x) #s(literal 1/3 binary64)) x) x x)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 x)) |
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) x) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (- (pow x 3) 1/27) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (- (pow x 3) 1/27) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (*.f64 x x)) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)) |
#s(approx (+ (* x 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)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* 1/3 x))) |
#s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(literal 1/3 binary64) x)) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x)))))) |
#s(approx (+ (* 1/3 x) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 x)) |
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) x) |
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (- (pow x 3) 1/27) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (- (pow x 3) 1/27) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (/ 1/9 x))) |
#s(approx (/ 1/9 (+ 1/3 x)) (/.f64 #s(literal 1/9 binary64) x)) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) |
#s(approx (/ 1/9 (+ 1/3 x)) (/.f64 (-.f64 (/.f64 #s(literal -1/27 binary64) x) #s(literal -1/9 binary64)) x)) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (* 1/27 (/ 1 x))) x))) |
#s(approx (/ 1/9 (+ 1/3 x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) #s(literal -1/9 binary64)) x)) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3))))) x))) |
#s(approx (/ 1/9 (+ 1/3 x)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/243 binary64) x) #s(literal 1/81 binary64)) x) #s(literal 1/27 binary64)) x) #s(literal 1/9 binary64)) (neg.f64 x))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 x)) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) (-.f64 x #s(literal -1/3 binary64))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (* x (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) (-.f64 (-.f64 x (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1/3 binary64))) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (*.f64 x x)) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)) |
#s(approx (* (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) x) #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)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)))) |
#s(approx (/ 1/9 (+ 1/3 x)) (/.f64 (-.f64 (/.f64 #s(literal -1/27 binary64) x) #s(literal -1/9 binary64)) x)) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 x)) 1/27) x)) 1/9) x)))) |
#s(approx (/ 1/9 (+ 1/3 x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) #s(literal -1/9 binary64)) x)) |
#s(approx (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/243 (/ 1 x)) 1/81) x)) 1/27) x)) 1/9) x)))) |
#s(approx (/ 1/9 (+ 1/3 x)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/243 binary64) x) #s(literal 1/81 binary64)) x) #s(literal 1/27 binary64)) x) #s(literal 1/9 binary64)) (neg.f64 x))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- (/ (* x x) (+ x 1/3)) (* (sqrt (/ 1/9 (+ 1/3 x))) (sqrt (/ 1/9 (+ 1/3 x))))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (* x x) (+ x 1/3)) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1))))) |
#s(approx (/ (* x x) (+ x 1/3)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1/3 binary64)) x) #s(literal 1 binary64)))) |
#s(approx (/ (* x x) (+ x 1/3)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1))))) |
#s(approx (/ (* x x) (+ x 1/3)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x) #s(literal 1/3 binary64)) x) #s(literal 1 binary64)))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))))) |
#s(approx (- (pow x 3) 1/27) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))))) |
#s(approx (- (pow x 3) 1/27) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)))) |
#s(approx (/ 1/9 (+ 1/3 x)) (/.f64 (-.f64 (/.f64 #s(literal -1/27 binary64) x) #s(literal -1/9 binary64)) x)) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 x)) 1/27) x)) 1/9) x)))) |
#s(approx (/ 1/9 (+ 1/3 x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) #s(literal -1/9 binary64)) x)) |
#s(approx (/ 1/9 (+ 1/3 x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/243 (/ 1 x)) 1/81) x)) 1/27) x)) 1/9) x)))) |
#s(approx (/ 1/9 (+ 1/3 x)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/243 binary64) x) #s(literal 1/81 binary64)) x) #s(literal 1/27 binary64)) x) #s(literal 1/9 binary64)) (neg.f64 x))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1))))) |
#s(approx (+ (* (- (/ 1/9 (* x x)) -1) x) 1/3) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 182 |
| 0 | 54 | 157 |
| 0 | 668 | 154 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))) |
(-.f64 #s(approx (/ (* x x) (+ x 1/3)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))))) |
#s(approx (/ (* x x) (+ x 1/3)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) |
#s(approx (+ (* x 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)) |
(*.f64 (*.f64 x x) x) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) #s(approx (+ (* x 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))) |
(-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) |
(*.f64 x x) |
(/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/9 binary64) (*.f64 x x)) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x) |
| Outputs |
|---|
(*.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))))) (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))))) |
(*.f64 (fabs.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))))) (fabs.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) (cbrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))))) |
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) |
(cbrt.f64 (*.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 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) |
(sqrt.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))))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) |
(log.f64 (exp.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (sqrt.f64 (-.f64 #s(approx (/ (* x x) (+ x 1/3)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) (sqrt.f64 (-.f64 #s(approx (/ (* x x) (+ x 1/3)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 #s(approx (/ (* x x) (+ x 1/3)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) (cbrt.f64 (-.f64 #s(approx (/ (* x x) (+ x 1/3)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))) (cbrt.f64 (-.f64 #s(approx (/ (* x x) (+ x 1/3)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))) |
(pow.f64 (-.f64 #s(approx (/ (* x x) (+ x 1/3)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)) |
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(pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/729 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/19683 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))))) |
(cbrt.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) |
(exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) |
(log.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 x x)) (sqrt.f64 (*.f64 x x))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 x x))) |
(*.f64 x x) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) |
(exp.f64 (log.f64 (*.f64 x x))) |
(log.f64 (exp.f64 (*.f64 x x))) |
(*.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))))) (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))))) |
(*.f64 (fabs.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))))) (fabs.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) (cbrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))))) |
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) |
(cbrt.f64 (*.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 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) |
(sqrt.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))))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) |
(log.f64 (exp.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64))) (sqrt.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)))) |
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64))) (cbrt.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)))) (cbrt.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)))) |
(pow.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)) #s(literal 1/9 binary64)) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) #s(literal 1/3 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) #s(literal 1/3 binary64))))) |
(fma.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)) (sqrt.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)) (cbrt.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x))) (cbrt.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)) #s(literal 1/3 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) |
(fma.f64 x (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) |
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)))) |
(exp.f64 (log.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)))) |
(+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)) |
(log.f64 (exp.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (cbrt.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))) |
(pow.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1/9 binary64) x) x) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 (*.f64 x x))) |
(/.f64 #s(literal 1/9 binary64) (*.f64 x x)) |
(cbrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))) |
(log.f64 (exp.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x)) (sqrt.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x)) (cbrt.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x))) (cbrt.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x))) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x) |
(*.f64 x (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64))) |
(pow.f64 (*.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(literal 1 binary64)) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x))) |
(exp.f64 (log.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x))) |
(log.f64 (exp.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x))) |
Compiled 7 130 to 838 computations (88.2% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 211 | 1 | 212 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 4 | 4 |
| Total | 212 | 7 | 219 |
| Status | Accuracy | Program |
|---|---|---|
| 44.7% | (/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) #s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (*.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) x) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x))) | |
| ✓ | 44.6% | (/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) #s(approx (+ (* x 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))) |
| ✓ | 53.9% | (/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
| ✓ | 76.7% | (-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))) |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 47.4% | #s(approx (- x (/ 1 3)) x) |
| ✓ | 53.9% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 338 to 153 computations (54.7% 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 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) #s(approx (+ (* x 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))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) #s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (*.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) x) #s(literal -1 binary64)) x #s(literal 1/3 binary64)) x))) |
(-.f64 #s(approx (/ (* x x) (+ x 1/3)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 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)) #s(approx (+ (* x 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))) |
(log.f64 (exp.f64 (-.f64 x #s(literal 1/3 binary64)))) |
| Outputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
2 calls:
| 4.0ms | x |
| 4.0ms | (-.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 |
|---|---|---|
| 97.7% | 3 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 97.7% | 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 |
|---|---|---|
| 53.9% | 1 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 53.9% | 1 | x |
Compiled 6 to 6 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.0008356916569870537 | 14462.724732856295 |
| 9.0ms | -0.6242984392147577 | -0.0009803354642289874 |
| 9.0ms | 272× | 0 | valid |
Compiled 246 to 264 computations (-7.3% saved)
ival-div: 2.0ms (47.6% of total)ival-sub: 1.0ms (23.8% 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 | 16 | 27 |
| 1 | 53 | 27 |
| 2 | 70 | 27 |
| 3 | 97 | 27 |
| 4 | 154 | 27 |
| 5 | 436 | 27 |
| 6 | 3471 | 27 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
(if (<=.f64 x #s(literal -5944751508129055/18014398509481984 binary64)) #s(approx (- x (/ 1 3)) x) (if (<=.f64 x #s(literal 5944751508129055/18014398509481984 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 -5944751508129055/18014398509481984 binary64)) #s(approx (- x (/ 1 3)) x) (if (<=.f64 x #s(literal 5944751508129055/18014398509481984 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× | fuel |
Compiled 39 to 16 computations (59% saved)
Compiled 88 to 42 computations (52.3% saved)
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