Time bar (total: 2.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 4 |
| 80% | 75% | 18.7% | 0% | 6.2% | 0% | 0% | 5 |
| 88.9% | 75% | 9.4% | 0% | 15.6% | 0% | 0% | 6 |
| 94.1% | 75% | 4.7% | 0% | 20.3% | 0% | 0% | 7 |
| 97% | 75% | 2.3% | 0% | 22.6% | 0% | 0% | 8 |
| 98.5% | 75% | 1.2% | 0% | 23.8% | 0% | 0% | 9 |
| 99.2% | 75% | 0.6% | 0% | 24.4% | 0% | 0% | 10 |
| 99.6% | 75% | 0.3% | 0% | 24.7% | 0% | 0% | 11 |
| 99.8% | 75% | 0.1% | 0% | 24.8% | 0% | 0% | 12 |
Compiled 7 to 5 computations (28.6% saved)
| 911.0ms | 8256× | body | 256 | valid |
| 1.0ms | 10× | body | 256 | infinite |
| 2× | egg-herbie |
| 2× | 1-exp |
| 2× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 11 | 13 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 1 (*.f64 x x)) |
| Outputs |
|---|
(/.f64 1 (*.f64 x x)) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
| 2× | 1-exp |
| 2× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 11 | 13 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1 (*.f64 x x)) |
| Outputs |
|---|
(/.f64 1 (*.f64 x x)) |
Compiled 6 to 4 computations (33.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.6b | (/.f64 1 (*.f64 x x)) |
Compiled 6 to 4 computations (33.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.6b | (/.f64 1 (*.f64 x x)) |
Compiled 11 to 5 computations (54.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (/.f64 1 (*.f64 x x)) |
| 1.0ms | x | @ | 0 | (/.f64 1 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 1 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1024× | add-sqr-sqrt |
| 1006× | *-un-lft-identity |
| 950× | pow1 |
| 938× | add-cube-cbrt |
| 930× | add-cbrt-cube |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 120 | 7 |
| 2 | 1422 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2))))))) |
| 1× | egg-herbie |
| 1720× | associate-/l* |
| 892× | associate-*r* |
| 778× | associate-+r+ |
| 700× | distribute-rgt-in |
| 696× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 446 |
| 1 | 123 | 266 |
| 2 | 466 | 254 |
| 3 | 2690 | 254 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(-.f64 (+.f64 1 (pow.f64 x -2)) 1) |
(*.f64 1 (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) 1) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (/.f64 1 x) (/.f64 1 x)) |
(*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1)) |
(pow.f64 x -2) |
(pow.f64 (*.f64 x x) -1) |
(pow.f64 (pow.f64 x -2) 1) |
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3) |
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3) |
(pow.f64 (/.f64 1 x) 2) |
(sqrt.f64 (/.f64 1 (pow.f64 x 4))) |
(log.f64 (exp.f64 (pow.f64 x -2))) |
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 x -2))) |
(exp.f64 (log.f64 (pow.f64 x -2))) |
(log1p.f64 (expm1.f64 (pow.f64 x -2))) |
| Outputs |
|---|
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(-.f64 (+.f64 1 (pow.f64 x -2)) 1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 1 (pow.f64 x -2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (pow.f64 x -2) 1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (/.f64 1 x) (/.f64 1 x)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 x)))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 1 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(pow.f64 x -2) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 (*.f64 x x) -1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 (pow.f64 x -2) 1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 (/.f64 1 x) 2) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(sqrt.f64 (/.f64 1 (pow.f64 x 4))) |
(sqrt.f64 (pow.f64 x -4)) |
(log.f64 (exp.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(expm1.f64 (log1p.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(exp.f64 (log.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(log1p.f64 (expm1.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
Compiled 180 to 140 computations (22.2% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 23 | 3 | 26 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 23 | 4 | 27 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (pow.f64 x -2) |
| ▶ | 18.8b | (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) |
| ✓ | 0.6b | (/.f64 1 (*.f64 x x)) |
| ▶ | 0.3b | (*.f64 (/.f64 1 x) (/.f64 1 x)) |
Compiled 30 to 23 computations (23.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (/.f64 1 x) (/.f64 1 x)) |
Compiled 13 to 9 computations (30.8% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 x) (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 x) (/.f64 1 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1 x) (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 1046× | add-sqr-sqrt |
| 1028× | *-un-lft-identity |
| 972× | pow1 |
| 960× | add-cube-cbrt |
| 950× | add-cbrt-cube |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 122 | 7 |
| 2 | 1448 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 x) (/.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (/.f64 x (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2))))))) |
| 1× | egg-herbie |
| 1290× | distribute-rgt-in |
| 1246× | distribute-lft-in |
| 956× | associate-*r* |
| 854× | associate-*l* |
| 694× | associate-+r+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 553 |
| 1 | 163 | 307 |
| 2 | 632 | 307 |
| 3 | 4218 | 307 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(-.f64 (+.f64 1 (pow.f64 x -2)) 1) |
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (*.f64 (neg.f64 x) (neg.f64 x))) |
(/.f64 1 (/.f64 x (/.f64 1 x))) |
(/.f64 1 (/.f64 (*.f64 x x) 1)) |
(/.f64 (/.f64 1 x) x) |
(/.f64 (pow.f64 x -1/2) (/.f64 x (pow.f64 x -1/2))) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (/.f64 1 (cbrt.f64 x)))) |
(/.f64 -1 (*.f64 x (neg.f64 x))) |
(/.f64 -1 (*.f64 (neg.f64 x) x)) |
(/.f64 -1 (neg.f64 (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 1 x) -1) (neg.f64 x)) |
(/.f64 (*.f64 -1 (/.f64 1 x)) (neg.f64 x)) |
(/.f64 (/.f64 (/.f64 1 x) 1) x) |
(/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (neg.f64 (/.f64 1 x)) (neg.f64 x)) |
(pow.f64 x -2) |
(pow.f64 (/.f64 1 x) 2) |
(pow.f64 (pow.f64 x -2) 1) |
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3) |
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3) |
(pow.f64 (*.f64 x x) -1) |
(sqrt.f64 (pow.f64 (/.f64 1 x) 4)) |
(log.f64 (exp.f64 (pow.f64 x -2))) |
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 x -2))) |
(exp.f64 (log.f64 (pow.f64 x -2))) |
(log1p.f64 (expm1.f64 (pow.f64 x -2))) |
| Outputs |
|---|
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(-.f64 (+.f64 1 (pow.f64 x -2)) 1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (*.f64 (neg.f64 x) (neg.f64 x))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (/.f64 x (/.f64 1 x))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (/.f64 (*.f64 x x) 1)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 (/.f64 1 x) x) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 (pow.f64 x -1/2) (/.f64 x (pow.f64 x -1/2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (/.f64 1 (cbrt.f64 x)))) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 x 1) (cbrt.f64 x))) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x))) |
(/.f64 -1 (*.f64 x (neg.f64 x))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 -1 (*.f64 (neg.f64 x) x)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 -1 (neg.f64 (*.f64 x x))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 (*.f64 (/.f64 1 x) -1) (neg.f64 x)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 (*.f64 -1 (/.f64 1 x)) (neg.f64 x)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 (/.f64 (/.f64 1 x) 1) x) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 (neg.f64 (/.f64 1 x)) (neg.f64 x)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 x -2) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 (/.f64 1 x) 2) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 (pow.f64 x -2) 1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 (*.f64 x x) -1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(sqrt.f64 (pow.f64 (/.f64 1 x) 4)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(log.f64 (exp.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(expm1.f64 (log1p.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(exp.f64 (log.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(log1p.f64 (expm1.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (pow.f64 (cbrt.f64 x) 2) |
| ✓ | 0.6b | (cbrt.f64 x) |
| ✓ | 1.1b | (/.f64 1 (cbrt.f64 (pow.f64 x 4))) |
| ✓ | 28.2b | (cbrt.f64 (pow.f64 x 4)) |
Compiled 35 to 25 computations (28.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (pow.f64 (cbrt.f64 x) 2) |
| 1.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 x) 2) |
| 1.0ms | x | @ | -inf | (cbrt.f64 x) |
| 0.0ms | x | @ | 0 | (cbrt.f64 (pow.f64 x 4)) |
| 0.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 x) 2) |
| 1× | batch-egg-rewrite |
| 1748× | add-sqr-sqrt |
| 1716× | *-un-lft-identity |
| 1608× | add-cube-cbrt |
| 1590× | add-cbrt-cube |
| 204× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 44 |
| 1 | 236 | 44 |
| 2 | 2535 | 44 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 x 4)) |
(/.f64 1 (cbrt.f64 (pow.f64 x 4))) |
(cbrt.f64 x) |
(pow.f64 (cbrt.f64 x) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (cbrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x 8)) 1/3) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8))) (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (cbrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 4) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 4 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (cbrt.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 1 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 8)))) (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (*.f64 x (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) -1) (pow.f64 (cbrt.f64 (*.f64 x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8))) -1) (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 4) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 x (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 x (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (cbrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8)))) (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1270× | associate-+r+ |
| 1032× | associate-/r* |
| 956× | unswap-sqr |
| 802× | associate-*r/ |
| 592× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 179 | 1668 |
| 1 | 360 | 1640 |
| 2 | 1463 | 1632 |
| 3 | 7816 | 1632 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cbrt.f64 x)))) 1) |
(*.f64 x (cbrt.f64 x)) |
(*.f64 (*.f64 x (cbrt.f64 x)) 1) |
(*.f64 1 (*.f64 x (cbrt.f64 x))) |
(*.f64 (cbrt.f64 x) x) |
(*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x x))) |
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 x 8)))) |
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8))) (cbrt.f64 (*.f64 x (cbrt.f64 x)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) |
(*.f64 (pow.f64 1 1/3) (*.f64 x (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 8)) 1/3) (cbrt.f64 (*.f64 x (cbrt.f64 x)))) |
(/.f64 (*.f64 x (cbrt.f64 x)) 1) |
(/.f64 1 (/.f64 1 (*.f64 x (cbrt.f64 x)))) |
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 (cbrt.f64 (*.f64 x x)))) |
(/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8))) (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x))))) |
(/.f64 (neg.f64 (*.f64 x (cbrt.f64 x))) -1) |
(pow.f64 x 4/3) |
(pow.f64 (pow.f64 x 4) 1/3) |
(pow.f64 (*.f64 x (cbrt.f64 x)) 1) |
(pow.f64 (cbrt.f64 x) 4) |
(pow.f64 (cbrt.f64 (*.f64 x x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 3) |
(sqrt.f64 (cbrt.f64 (pow.f64 x 8))) |
(log.f64 (exp.f64 (*.f64 x (cbrt.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cbrt.f64 x))))) |
(expm1.f64 (log1p.f64 (*.f64 x (cbrt.f64 x)))) |
(exp.f64 (log.f64 (*.f64 x (cbrt.f64 x)))) |
(exp.f64 (*.f64 (*.f64 4 (log.f64 x)) 1/3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (cbrt.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))))) 1) |
(*.f64 1 (/.f64 1 (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) 1) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 1 (cbrt.f64 (*.f64 x x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 8))))) |
(*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 8)))) (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x))))) |
(*.f64 -1 (/.f64 1 (neg.f64 (*.f64 x (cbrt.f64 x))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) -1) (pow.f64 (cbrt.f64 (*.f64 x x)) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8))) -1) (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) -1)) |
(pow.f64 (pow.f64 x 4) -1/3) |
(pow.f64 (*.f64 x (cbrt.f64 x)) -1) |
(pow.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) 1) |
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) 3) 1/3) |
(sqrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 8)))) |
(log.f64 (exp.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 x (cbrt.f64 x)))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))))) |
(exp.f64 (neg.f64 (log.f64 (*.f64 x (cbrt.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 x))) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (cbrt.f64 x)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1) |
(*.f64 1 (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) 1) |
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6)) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3)) |
(pow.f64 x 1/3) |
(pow.f64 (cbrt.f64 x) 1) |
(pow.f64 (cbrt.f64 (*.f64 x x)) 1/2) |
(pow.f64 (pow.f64 x 1/6) 2) |
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) |
(sqrt.f64 (cbrt.f64 (*.f64 x x))) |
(fabs.f64 (cbrt.f64 x)) |
(log.f64 (exp.f64 (cbrt.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x)))) |
(expm1.f64 (log1p.f64 (cbrt.f64 x))) |
(exp.f64 (log.f64 (cbrt.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) 1/3)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1)) |
(log1p.f64 (expm1.f64 (cbrt.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x x)))) 1) |
(*.f64 1 (cbrt.f64 (*.f64 x x))) |
(*.f64 (cbrt.f64 x) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 (*.f64 x x)) 1) |
(*.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x))) |
(*.f64 (sqrt.f64 x) (pow.f64 x 1/6)) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 x (cbrt.f64 x)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8)))) (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 x))) |
(sqrt.f64 (*.f64 x (cbrt.f64 x))) |
(fabs.f64 (cbrt.f64 (*.f64 x x))) |
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x x)))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x x))))) |
(cbrt.f64 (*.f64 x x)) |
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x x)))) |
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x x))) 1)) |
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x x)))) |
| Outputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cbrt.f64 x)))) 1) |
(*.f64 x (cbrt.f64 x)) |
(*.f64 x (cbrt.f64 x)) |
(*.f64 (*.f64 x (cbrt.f64 x)) 1) |
(*.f64 x (cbrt.f64 x)) |
(*.f64 1 (*.f64 x (cbrt.f64 x))) |
(*.f64 x (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) x) |
(*.f64 x (cbrt.f64 x)) |
(*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x x))) |
(pow.f64 (cbrt.f64 (*.f64 x x)) 2) |
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 x 8)))) |
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (cbrt.f64 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8))) (cbrt.f64 (*.f64 x (cbrt.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 x 8)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (cbrt.f64 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (*.f64 x x))))) |
(*.f64 (pow.f64 1 1/3) (*.f64 x (cbrt.f64 x))) |
(*.f64 x (cbrt.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 8)) 1/3) (cbrt.f64 (*.f64 x (cbrt.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 x 8)))) |
(/.f64 (*.f64 x (cbrt.f64 x)) 1) |
(*.f64 x (cbrt.f64 x)) |
(/.f64 1 (/.f64 1 (*.f64 x (cbrt.f64 x)))) |
(*.f64 x (cbrt.f64 x)) |
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 (cbrt.f64 (*.f64 x x)))) |
(pow.f64 (cbrt.f64 (*.f64 x x)) 2) |
(/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8))) (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x))))) |
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 x 8)))) |
(/.f64 (neg.f64 (*.f64 x (cbrt.f64 x))) -1) |
(*.f64 x (cbrt.f64 x)) |
(pow.f64 x 4/3) |
(*.f64 x (cbrt.f64 x)) |
(pow.f64 (pow.f64 x 4) 1/3) |
(*.f64 x (cbrt.f64 x)) |
(pow.f64 (*.f64 x (cbrt.f64 x)) 1) |
(*.f64 x (cbrt.f64 x)) |
(pow.f64 (cbrt.f64 x) 4) |
(*.f64 x (cbrt.f64 x)) |
(pow.f64 (cbrt.f64 (*.f64 x x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 3) |
(*.f64 x (cbrt.f64 x)) |
(sqrt.f64 (cbrt.f64 (pow.f64 x 8))) |
(log.f64 (exp.f64 (*.f64 x (cbrt.f64 x)))) |
(*.f64 x (cbrt.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cbrt.f64 x))))) |
(*.f64 x (cbrt.f64 x)) |
(expm1.f64 (log1p.f64 (*.f64 x (cbrt.f64 x)))) |
(*.f64 x (cbrt.f64 x)) |
(exp.f64 (log.f64 (*.f64 x (cbrt.f64 x)))) |
(*.f64 x (cbrt.f64 x)) |
(exp.f64 (*.f64 (*.f64 4 (log.f64 x)) 1/3)) |
(*.f64 x (cbrt.f64 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 x))) 1)) |
(*.f64 x (cbrt.f64 x)) |
(log1p.f64 (expm1.f64 (*.f64 x (cbrt.f64 x)))) |
(*.f64 x (cbrt.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))))) 1) |
(/.f64 (/.f64 1 x) (cbrt.f64 x)) |
(/.f64 1 (*.f64 x (cbrt.f64 x))) |
(*.f64 1 (/.f64 1 (*.f64 x (cbrt.f64 x)))) |
(/.f64 (/.f64 1 x) (cbrt.f64 x)) |
(/.f64 1 (*.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) 1) |
(/.f64 (/.f64 1 x) (cbrt.f64 x)) |
(/.f64 1 (*.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 1 (cbrt.f64 (*.f64 x x)))) |
(pow.f64 (cbrt.f64 (*.f64 x x)) -2) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 8))))) |
(/.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 8)))) (cbrt.f64 (*.f64 x (cbrt.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 8)))) (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x))))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 8))))) |
(/.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 8)))) (cbrt.f64 (*.f64 x (cbrt.f64 x)))) |
(*.f64 -1 (/.f64 1 (neg.f64 (*.f64 x (cbrt.f64 x))))) |
(/.f64 (/.f64 1 x) (cbrt.f64 x)) |
(/.f64 1 (*.f64 x (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) -1) (pow.f64 (cbrt.f64 (*.f64 x x)) -1)) |
(pow.f64 (cbrt.f64 (*.f64 x x)) -2) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8))) -1) (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 x 8))))) |
(/.f64 1 (*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 x 8))))) |
(pow.f64 (pow.f64 x 4) -1/3) |
(*.f64 (pow.f64 (pow.f64 x 4) -1/6) (pow.f64 (pow.f64 x 4) -1/6)) |
(pow.f64 (*.f64 x (cbrt.f64 x)) -1) |
(/.f64 (/.f64 1 x) (cbrt.f64 x)) |
(/.f64 1 (*.f64 x (cbrt.f64 x))) |
(pow.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) 1) |
(/.f64 (/.f64 1 x) (cbrt.f64 x)) |
(/.f64 1 (*.f64 x (cbrt.f64 x))) |
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x x)) -2) |
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) 3) |
(/.f64 (/.f64 1 x) (cbrt.f64 x)) |
(/.f64 1 (*.f64 x (cbrt.f64 x))) |
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) 3) 1/3) |
(/.f64 (/.f64 1 x) (cbrt.f64 x)) |
(/.f64 1 (*.f64 x (cbrt.f64 x))) |
(sqrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 8)))) |
(log.f64 (exp.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))))) |
(/.f64 (/.f64 1 x) (cbrt.f64 x)) |
(/.f64 1 (*.f64 x (cbrt.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 x (cbrt.f64 x)))))) |
(/.f64 (/.f64 1 x) (cbrt.f64 x)) |
(/.f64 1 (*.f64 x (cbrt.f64 x))) |
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) 3)) |
(/.f64 (/.f64 1 x) (cbrt.f64 x)) |
(/.f64 1 (*.f64 x (cbrt.f64 x))) |
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))))) |
(/.f64 (/.f64 1 x) (cbrt.f64 x)) |
(/.f64 1 (*.f64 x (cbrt.f64 x))) |
(exp.f64 (neg.f64 (log.f64 (*.f64 x (cbrt.f64 x))))) |
(/.f64 (/.f64 1 x) (cbrt.f64 x)) |
(/.f64 1 (*.f64 x (cbrt.f64 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 x))) -1)) |
(/.f64 (/.f64 1 x) (cbrt.f64 x)) |
(/.f64 1 (*.f64 x (cbrt.f64 x))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (cbrt.f64 x)))) 1)) |
(/.f64 (/.f64 1 x) (cbrt.f64 x)) |
(/.f64 1 (*.f64 x (cbrt.f64 x))) |
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))))) |
(/.f64 (/.f64 1 x) (cbrt.f64 x)) |
(/.f64 1 (*.f64 x (cbrt.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1) |
(cbrt.f64 x) |
(*.f64 1 (cbrt.f64 x)) |
(cbrt.f64 x) |
(*.f64 (cbrt.f64 x) 1) |
(cbrt.f64 x) |
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6)) |
(cbrt.f64 x) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x)) |
(cbrt.f64 x) |
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3)) |
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(pow.f64 x 1/3) |
(cbrt.f64 x) |
(pow.f64 (cbrt.f64 x) 1) |
(cbrt.f64 x) |
(pow.f64 (cbrt.f64 (*.f64 x x)) 1/2) |
(sqrt.f64 (cbrt.f64 (*.f64 x x))) |
(pow.f64 (pow.f64 x 1/6) 2) |
(cbrt.f64 x) |
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) |
(cbrt.f64 x) |
(sqrt.f64 (cbrt.f64 (*.f64 x x))) |
(fabs.f64 (cbrt.f64 x)) |
(cbrt.f64 x) |
(log.f64 (exp.f64 (cbrt.f64 x))) |
(cbrt.f64 x) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x)))) |
(cbrt.f64 x) |
(expm1.f64 (log1p.f64 (cbrt.f64 x))) |
(cbrt.f64 x) |
(exp.f64 (log.f64 (cbrt.f64 x))) |
(cbrt.f64 x) |
(exp.f64 (*.f64 (log.f64 x) 1/3)) |
(cbrt.f64 x) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1)) |
(cbrt.f64 x) |
(log1p.f64 (expm1.f64 (cbrt.f64 x))) |
(cbrt.f64 x) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x x)))) 1) |
(cbrt.f64 (*.f64 x x)) |
(*.f64 1 (cbrt.f64 (*.f64 x x))) |
(cbrt.f64 (*.f64 x x)) |
(*.f64 (cbrt.f64 x) (cbrt.f64 x)) |
(pow.f64 (cbrt.f64 x) 2) |
(*.f64 (cbrt.f64 (*.f64 x x)) 1) |
(cbrt.f64 (*.f64 x x)) |
(*.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 x) (cbrt.f64 x)) |
(pow.f64 (cbrt.f64 x) 2) |
(*.f64 (sqrt.f64 x) (pow.f64 x 1/6)) |
(*.f64 (pow.f64 x 1/6) (sqrt.f64 x)) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 x (cbrt.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 x)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)) |
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8)))) (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (pow.f64 x 8)) 1/6)) |
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 x)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)) |
(sqrt.f64 (*.f64 x (cbrt.f64 x))) |
(fabs.f64 (cbrt.f64 (*.f64 x x))) |
(cbrt.f64 (*.f64 x x)) |
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x x)))) |
(cbrt.f64 (*.f64 x x)) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x x))))) |
(cbrt.f64 (*.f64 x x)) |
(cbrt.f64 (*.f64 x x)) |
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x x)))) |
(cbrt.f64 (*.f64 x x)) |
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x x)))) |
(cbrt.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x x))) 1)) |
(cbrt.f64 (*.f64 x x)) |
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x x)))) |
(cbrt.f64 (*.f64 x x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 x -2) |
Compiled 6 to 4 computations (33.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (pow.f64 x -2) |
| 0.0ms | x | @ | inf | (pow.f64 x -2) |
| 0.0ms | x | @ | 0 | (pow.f64 x -2) |
| 1× | batch-egg-rewrite |
| 928× | add-sqr-sqrt |
| 904× | *-un-lft-identity |
| 860× | pow1 |
| 850× | add-cube-cbrt |
| 842× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 106 | 7 |
| 2 | 1192 | 7 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x -2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x -2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -2) (pow.f64 (sqrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2))))))) |
| 1× | egg-herbie |
| 1030× | associate-*r* |
| 828× | associate-*l* |
| 654× | distribute-lft-out |
| 380× | distribute-rgt-out |
| 368× | unswap-sqr |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 419 |
| 1 | 85 | 281 |
| 2 | 186 | 281 |
| 3 | 648 | 281 |
| 4 | 4253 | 249 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(-.f64 (+.f64 (pow.f64 x -2) 1) 1) |
(*.f64 (pow.f64 x -2) 1) |
(*.f64 1 (pow.f64 x -2)) |
(*.f64 (/.f64 1 x) (/.f64 1 x)) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4))) |
(*.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (pow.f64 (sqrt.f64 x) -2) (pow.f64 (sqrt.f64 x) -2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (cbrt.f64 x) -2)) |
(*.f64 (pow.f64 (cbrt.f64 x) -2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2)) |
(sqrt.f64 (pow.f64 x -4)) |
(log.f64 (exp.f64 (pow.f64 x -2))) |
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 x -2))) |
(exp.f64 (*.f64 -2 (log.f64 x))) |
(log1p.f64 (expm1.f64 (pow.f64 x -2))) |
| Outputs |
|---|
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(-.f64 (+.f64 (pow.f64 x -2) 1) 1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (pow.f64 x -2) 1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 1 (pow.f64 x -2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (/.f64 1 x) (/.f64 1 x)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4))) |
(*.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4))) |
(*.f64 (pow.f64 (sqrt.f64 x) -2) (pow.f64 (sqrt.f64 x) -2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (cbrt.f64 x) -2)) |
(pow.f64 (pow.f64 (cbrt.f64 x) -2) 3) |
(*.f64 (pow.f64 (cbrt.f64 x) -2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (cbrt.f64 x) -2)) |
(pow.f64 (pow.f64 (cbrt.f64 x) -2) 3) |
(sqrt.f64 (pow.f64 x -4)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(log.f64 (exp.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(expm1.f64 (log1p.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(exp.f64 (*.f64 -2 (log.f64 x))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(log1p.f64 (expm1.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
Compiled 2050 to 1223 computations (40.3% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 164 | 2 | 166 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 1 | 3 |
| Total | 166 | 4 | 170 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 x -2) |
| ▶ | 34.9b | (/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (sqrt.f64 x)) |
| ▶ | 0.2b | (/.f64 (/.f64 1 x) x) |
| ✓ | 0.6b | (/.f64 1 (*.f64 x x)) |
Compiled 26 to 17 computations (34.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (/.f64 1 x) x) |
Compiled 11 to 7 computations (36.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 1 x) x) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 1 x) x) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 1 x) x) |
| 1× | batch-egg-rewrite |
| 1096× | add-sqr-sqrt |
| 1080× | *-un-lft-identity |
| 1018× | pow1 |
| 1008× | add-cube-cbrt |
| 998× | add-cbrt-cube |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 123 | 7 |
| 2 | 1505 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1 x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (/.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (pow.f64 x -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 x)) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 x -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2))))))) |
| 1× | egg-herbie |
| 1116× | associate-*r* |
| 910× | associate-*l* |
| 872× | distribute-rgt-in |
| 856× | associate-+r+ |
| 840× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 757 |
| 1 | 207 | 469 |
| 2 | 724 | 469 |
| 3 | 4724 | 469 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(-.f64 (+.f64 1 (pow.f64 x -2)) 1) |
(*.f64 1 (pow.f64 x -2)) |
(*.f64 (/.f64 1 x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) 1) |
(*.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 1 x))) |
(*.f64 (pow.f64 x -1/2) (/.f64 (/.f64 1 x) (sqrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 x) (cbrt.f64 x))) |
(*.f64 (/.f64 -1 x) (/.f64 -1 x)) |
(*.f64 (*.f64 (/.f64 1 x) (pow.f64 x -1/2)) (pow.f64 x -1/2)) |
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) x)) |
(*.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 x)) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x -2))) |
(pow.f64 x -2) |
(pow.f64 (/.f64 1 x) 2) |
(pow.f64 (pow.f64 x -2) 1) |
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3) |
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3) |
(pow.f64 (*.f64 x x) -1) |
(neg.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (pow.f64 x -2) 2)) |
(log.f64 (exp.f64 (pow.f64 x -2))) |
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 x -2))) |
(exp.f64 (log.f64 (pow.f64 x -2))) |
(log1p.f64 (expm1.f64 (pow.f64 x -2))) |
| Outputs |
|---|
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(-.f64 (+.f64 1 (pow.f64 x -2)) 1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 1 (pow.f64 x -2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (/.f64 1 x) (/.f64 1 x)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (pow.f64 x -2) 1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 1 x))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (pow.f64 x -1/2) (/.f64 (/.f64 1 x) (sqrt.f64 x))) |
(*.f64 (pow.f64 x -1/2) (/.f64 1 (*.f64 (sqrt.f64 x) x))) |
(/.f64 (/.f64 (pow.f64 x -1/2) x) (sqrt.f64 x)) |
(/.f64 (pow.f64 x -1/2) (*.f64 x (sqrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (*.f64 1 (/.f64 1 x)) (cbrt.f64 x))) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 x) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (*.f64 1 (/.f64 1 x)) (cbrt.f64 x))) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 -1 x) (/.f64 -1 x)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (*.f64 (/.f64 1 x) (pow.f64 x -1/2)) (pow.f64 x -1/2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (*.f64 1 (/.f64 1 x)) (cbrt.f64 x))) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) x)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x))) |
(/.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) x)) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (*.f64 1 (/.f64 1 x)) (cbrt.f64 x))) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 x)) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (*.f64 1 (/.f64 1 x)) (cbrt.f64 x))) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x -2))) |
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (pow.f64 (cbrt.f64 x) 2)) |
(pow.f64 x -2) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 (/.f64 1 x) 2) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 (pow.f64 x -2) 1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 (*.f64 x x) -1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(neg.f64 (/.f64 (/.f64 1 x) (neg.f64 x))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(sqrt.f64 (pow.f64 (pow.f64 x -2) 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(log.f64 (exp.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(expm1.f64 (log1p.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(exp.f64 (log.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(log1p.f64 (expm1.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (sqrt.f64 x)) |
| ✓ | 0.1b | (/.f64 (/.f64 1 x) (sqrt.f64 x)) |
Compiled 23 to 12 computations (47.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | (/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (sqrt.f64 x)) |
| 1.0ms | x | @ | 0 | (/.f64 (/.f64 1 x) (sqrt.f64 x)) |
| 1.0ms | x | @ | -inf | (/.f64 (/.f64 1 x) (sqrt.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 1 x) (sqrt.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (sqrt.f64 x)) |
| 1× | batch-egg-rewrite |
| 1698× | add-sqr-sqrt |
| 1676× | *-un-lft-identity |
| 1568× | add-cube-cbrt |
| 1546× | add-cbrt-cube |
| 180× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 30 |
| 1 | 188 | 14 |
| 2 | 2607 | 14 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1 x) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (sqrt.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x -3/2)) (sqrt.f64 (pow.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (/.f64 1 x) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 x 1/4)) (/.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 x -3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -3/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x -3/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -3/2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3/2) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x -3/2)) (*.f64 (sqrt.f64 (pow.f64 x -3/2)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 x -3/2) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x -3/2)) (/.f64 1 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (pow.f64 x 1/4)) (sqrt.f64 (pow.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (pow.f64 x -3/2) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) 1) (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 (*.f64 x x))) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 x -3/2)) 1) (/.f64 (sqrt.f64 (pow.f64 x -3/2)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 x -3/2)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (pow.f64 x -3/2)) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 x -3/2) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 x -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2))))))) |
| 1× | egg-herbie |
| 1376× | associate-/l* |
| 1116× | associate-+r+ |
| 938× | unswap-sqr |
| 922× | associate-+l+ |
| 670× | associate-*r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 152 | 1527 |
| 1 | 376 | 1175 |
| 2 | 1533 | 1129 |
| 3 | 6663 | 1129 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))) |
(/.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))) |
(/.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))) |
(/.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -3/2))) 1) |
(*.f64 1 (pow.f64 x -3/2)) |
(*.f64 (/.f64 1 x) (pow.f64 x -1/2)) |
(*.f64 (pow.f64 x -3/2) 1) |
(*.f64 (sqrt.f64 (pow.f64 x -3/2)) (sqrt.f64 (pow.f64 x -3/2))) |
(*.f64 (pow.f64 x -1/2) (/.f64 1 x)) |
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 x -1/2))) |
(*.f64 (/.f64 -1 x) (/.f64 1 (neg.f64 (sqrt.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (/.f64 1 x) (pow.f64 x 1/4))) |
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 1 x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 x 1/4)) (/.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 x 1/4))) |
(pow.f64 x -3/2) |
(pow.f64 (pow.f64 x -3/2) 1) |
(pow.f64 (sqrt.f64 (pow.f64 x -3/2)) 2) |
(pow.f64 (pow.f64 x -1/2) 3) |
(pow.f64 (pow.f64 (pow.f64 x -3/2) 3) 1/3) |
(pow.f64 (pow.f64 x 3/2) -1) |
(neg.f64 (/.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 x)))) |
(sqrt.f64 (/.f64 1 (pow.f64 x 3))) |
(log.f64 (exp.f64 (pow.f64 x -3/2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -3/2)))) |
(cbrt.f64 (pow.f64 (pow.f64 x -3/2) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 x -3/2))) |
(exp.f64 (log.f64 (pow.f64 x -3/2))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x -3/2)) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 x -3/2))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1) |
(*.f64 1 (pow.f64 x -2)) |
(*.f64 (/.f64 1 x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -3/2) (pow.f64 x -1/2)) |
(*.f64 (pow.f64 x -2) 1) |
(*.f64 (sqrt.f64 (pow.f64 x -3/2)) (*.f64 (sqrt.f64 (pow.f64 x -3/2)) (pow.f64 x -1/2))) |
(*.f64 (pow.f64 x -1/2) (pow.f64 x -3/2)) |
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 x -3/2) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 x) (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (neg.f64 (pow.f64 x -3/2)) (/.f64 1 (neg.f64 (sqrt.f64 x)))) |
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x))) |
(*.f64 (/.f64 (/.f64 1 x) 1) (/.f64 1 x)) |
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 x 1/4)) (sqrt.f64 (pow.f64 x -3/2))) |
(*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (pow.f64 x -3/2) (pow.f64 x 1/4))) |
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (pow.f64 x -3/2)) |
(*.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 (*.f64 x x))) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 x)) x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 1 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x -3/2)) 1) (/.f64 (sqrt.f64 (pow.f64 x -3/2)) (sqrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x -3/2)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (pow.f64 x -3/2)) (cbrt.f64 (sqrt.f64 x)))) |
(pow.f64 x -2) |
(pow.f64 (/.f64 1 x) 2) |
(pow.f64 (pow.f64 x -2) 1) |
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3) |
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3) |
(pow.f64 (*.f64 x x) -1) |
(neg.f64 (/.f64 (pow.f64 x -3/2) (neg.f64 (sqrt.f64 x)))) |
(sqrt.f64 (pow.f64 (pow.f64 x -2) 2)) |
(log.f64 (exp.f64 (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2)))) |
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 x -2))) |
(exp.f64 (log.f64 (pow.f64 x -2))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x -2)) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 x -2))) |
| Outputs |
|---|
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -3/2))) 1) |
(pow.f64 x -3/2) |
(*.f64 1 (pow.f64 x -3/2)) |
(pow.f64 x -3/2) |
(*.f64 (/.f64 1 x) (pow.f64 x -1/2)) |
(/.f64 (pow.f64 x -1/2) x) |
(pow.f64 (pow.f64 x -1/4) 6) |
(*.f64 (pow.f64 x -3/2) 1) |
(pow.f64 x -3/2) |
(*.f64 (sqrt.f64 (pow.f64 x -3/2)) (sqrt.f64 (pow.f64 x -3/2))) |
(pow.f64 x -3/2) |
(*.f64 (pow.f64 x -1/2) (/.f64 1 x)) |
(*.f64 (/.f64 1 x) (pow.f64 x -1/2)) |
(/.f64 (pow.f64 x -1/2) x) |
(pow.f64 (pow.f64 x -1/4) 6) |
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 x)))) |
(/.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (cbrt.f64 (/.f64 1 x)) (*.f64 x (cbrt.f64 (sqrt.f64 x)))) |
(/.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) x) (cbrt.f64 (sqrt.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 x -1/2))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (pow.f64 x -1/2) (cbrt.f64 (/.f64 1 x)))) |
(*.f64 (/.f64 -1 x) (/.f64 1 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (*.f64 (/.f64 -1 x) 1) (neg.f64 (sqrt.f64 x))) |
(/.f64 -1 (*.f64 x (neg.f64 (sqrt.f64 x)))) |
(/.f64 (/.f64 1 x) (sqrt.f64 x)) |
(*.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (/.f64 1 x) (pow.f64 x 1/4))) |
(/.f64 (*.f64 (/.f64 -1 x) 1) (neg.f64 (sqrt.f64 x))) |
(/.f64 -1 (*.f64 x (neg.f64 (sqrt.f64 x)))) |
(/.f64 (/.f64 1 x) (sqrt.f64 x)) |
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 1 x)) |
(*.f64 (/.f64 1 x) (pow.f64 x -1/2)) |
(/.f64 (pow.f64 x -1/2) x) |
(pow.f64 (pow.f64 x -1/4) 6) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 x)) (sqrt.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (cbrt.f64 (/.f64 1 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x))) |
(/.f64 (pow.f64 x -1/2) (/.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 x 1/4)) (/.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 x 1/4))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (cbrt.f64 (/.f64 1 x)) (sqrt.f64 x))) |
(pow.f64 x -3/2) |
(pow.f64 (pow.f64 x -3/2) 1) |
(pow.f64 x -3/2) |
(pow.f64 (sqrt.f64 (pow.f64 x -3/2)) 2) |
(pow.f64 x -3/2) |
(pow.f64 (pow.f64 x -1/2) 3) |
(*.f64 (/.f64 1 x) (pow.f64 x -1/2)) |
(/.f64 (pow.f64 x -1/2) x) |
(pow.f64 (pow.f64 x -1/4) 6) |
(pow.f64 (pow.f64 (pow.f64 x -3/2) 3) 1/3) |
(pow.f64 x -3/2) |
(pow.f64 (pow.f64 x 3/2) -1) |
(/.f64 1 (pow.f64 x 3/2)) |
(neg.f64 (/.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (*.f64 (/.f64 -1 x) 1) (neg.f64 (sqrt.f64 x))) |
(/.f64 -1 (*.f64 x (neg.f64 (sqrt.f64 x)))) |
(/.f64 (/.f64 1 x) (sqrt.f64 x)) |
(sqrt.f64 (/.f64 1 (pow.f64 x 3))) |
(log.f64 (exp.f64 (pow.f64 x -3/2))) |
(pow.f64 x -3/2) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -3/2)))) |
(pow.f64 x -3/2) |
(cbrt.f64 (pow.f64 (pow.f64 x -3/2) 3)) |
(pow.f64 x -3/2) |
(expm1.f64 (log1p.f64 (pow.f64 x -3/2))) |
(pow.f64 x -3/2) |
(exp.f64 (log.f64 (pow.f64 x -3/2))) |
(pow.f64 x -3/2) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x -3/2)) 1)) |
(pow.f64 x -3/2) |
(log1p.f64 (expm1.f64 (pow.f64 x -3/2))) |
(pow.f64 x -3/2) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 1 (pow.f64 x -2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (/.f64 1 x) (/.f64 1 x)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (pow.f64 x -3/2) (pow.f64 x -1/2)) |
(*.f64 (pow.f64 x -2) 1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (sqrt.f64 (pow.f64 x -3/2)) (*.f64 (sqrt.f64 (pow.f64 x -3/2)) (pow.f64 x -1/2))) |
(*.f64 (pow.f64 x -3/2) (pow.f64 x -1/2)) |
(*.f64 (pow.f64 x -1/2) (pow.f64 x -3/2)) |
(*.f64 (pow.f64 x -3/2) (pow.f64 x -1/2)) |
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 x -3/2) (cbrt.f64 (sqrt.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 x -3/2)) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 x -3/2))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (sqrt.f64 x))) (pow.f64 x -3/2)) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 1 x)))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (cbrt.f64 (/.f64 1 x)) x)) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 x) (cbrt.f64 x))) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (neg.f64 (pow.f64 x -3/2)) (/.f64 1 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x -3/2)) 1) (neg.f64 (sqrt.f64 x))) |
(*.f64 1 (/.f64 (pow.f64 x -3/2) (sqrt.f64 x))) |
(/.f64 (pow.f64 x -3/2) (sqrt.f64 x)) |
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 1 x)))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (cbrt.f64 (/.f64 1 x)) x)) |
(*.f64 (/.f64 (/.f64 1 x) 1) (/.f64 1 x)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 x 1/4)) (sqrt.f64 (pow.f64 x -3/2))) |
(*.f64 (sqrt.f64 (pow.f64 x -3/2)) (/.f64 (/.f64 1 x) (pow.f64 x 1/4))) |
(*.f64 (sqrt.f64 (pow.f64 x -3/2)) (/.f64 1 (pow.f64 x 5/4))) |
(/.f64 (pow.f64 x -3/4) (pow.f64 x 5/4)) |
(*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 x) (cbrt.f64 x))) |
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (pow.f64 x -3/2) (pow.f64 x 1/4))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x -3/2)) 1) (neg.f64 (sqrt.f64 x))) |
(*.f64 1 (/.f64 (pow.f64 x -3/2) (sqrt.f64 x))) |
(/.f64 (pow.f64 x -3/2) (sqrt.f64 x)) |
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (pow.f64 x -3/2)) |
(*.f64 (pow.f64 x -3/2) (pow.f64 x -1/2)) |
(*.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 (*.f64 x x))) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 (*.f64 x x)))) |
(/.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (*.f64 x x))) |
(/.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 x)) x)) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 1 x)))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (cbrt.f64 (/.f64 1 x)) x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 1 x)) (sqrt.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 1 x)))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (cbrt.f64 (/.f64 1 x)) x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2))) |
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x -3/2)) 1) (/.f64 (sqrt.f64 (pow.f64 x -3/2)) (sqrt.f64 x))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x -3/2)) 1) (neg.f64 (sqrt.f64 x))) |
(*.f64 1 (/.f64 (pow.f64 x -3/2) (sqrt.f64 x))) |
(/.f64 (pow.f64 x -3/2) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x -3/2)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (pow.f64 x -3/2)) (cbrt.f64 (sqrt.f64 x)))) |
(/.f64 (/.f64 (pow.f64 x -3/2) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x)) |
(/.f64 (/.f64 (pow.f64 x -3/2) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(pow.f64 x -2) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 (/.f64 1 x) 2) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 (pow.f64 x -2) 1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 (*.f64 x x) -1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(neg.f64 (/.f64 (pow.f64 x -3/2) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x -3/2)) 1) (neg.f64 (sqrt.f64 x))) |
(*.f64 1 (/.f64 (pow.f64 x -3/2) (sqrt.f64 x))) |
(/.f64 (pow.f64 x -3/2) (sqrt.f64 x)) |
(sqrt.f64 (pow.f64 (pow.f64 x -2) 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(log.f64 (exp.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2)))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(expm1.f64 (log1p.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(exp.f64 (log.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x -2)) 1)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(log1p.f64 (expm1.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
Compiled 1385 to 903 computations (34.8% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 143 | 1 | 144 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 3 | 3 |
| Total | 144 | 4 | 148 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 x -2) |
| ▶ | 34.9b | (/.f64 (pow.f64 x -3/2) (sqrt.f64 x)) |
| ✓ | 0.2b | (/.f64 (/.f64 1 x) x) |
| ✓ | 0.6b | (/.f64 1 (*.f64 x x)) |
Compiled 23 to 16 computations (30.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (pow.f64 x -3/2) (sqrt.f64 x)) |
Compiled 14 to 8 computations (42.9% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (/.f64 (pow.f64 x -3/2) (sqrt.f64 x)) |
| 1.0ms | x | @ | -inf | (/.f64 (pow.f64 x -3/2) (sqrt.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 (pow.f64 x -3/2) (sqrt.f64 x)) |
| 1× | batch-egg-rewrite |
| 1624× | add-sqr-sqrt |
| 1588× | *-un-lft-identity |
| 1500× | add-cube-cbrt |
| 1486× | add-cbrt-cube |
| 160× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 169 | 7 |
| 2 | 2139 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 x -3/2) (sqrt.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3/2) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3/4) (*.f64 (pow.f64 x -3/4) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -3)) (*.f64 (cbrt.f64 (pow.f64 x -3/2)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x -3/2)) (/.f64 1 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (pow.f64 x -3/2) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (pow.f64 x -3/2) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -3/4) 1) (/.f64 (pow.f64 x -3/4) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -3/4) (cbrt.f64 x)) (/.f64 (pow.f64 x -3/4) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -3)) 1) (/.f64 (cbrt.f64 (pow.f64 x -3/2)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -3)) (pow.f64 x 1/4)) (/.f64 (cbrt.f64 (pow.f64 x -3/2)) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -3)) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 x -3/2) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 x -3) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2))))))) |
| 1× | egg-herbie |
| 1678× | distribute-lft-in |
| 1606× | associate-/r/ |
| 1216× | associate-*r* |
| 986× | associate-*l* |
| 876× | associate-+r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 825 |
| 1 | 210 | 595 |
| 2 | 681 | 571 |
| 3 | 4249 | 571 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1) |
(*.f64 (pow.f64 x -3/2) (pow.f64 x -1/2)) |
(*.f64 (pow.f64 x -2) 1) |
(*.f64 1 (pow.f64 x -2)) |
(*.f64 (/.f64 1 x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -3/4) (*.f64 (pow.f64 x -3/4) (pow.f64 x -1/2))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (pow.f64 x -3)) (*.f64 (cbrt.f64 (pow.f64 x -3/2)) (pow.f64 x -1/2))) |
(*.f64 (pow.f64 x -1/2) (pow.f64 x -3/2)) |
(*.f64 (neg.f64 (pow.f64 x -3/2)) (/.f64 1 (neg.f64 (sqrt.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (pow.f64 x -3/2) (pow.f64 x 1/4))) |
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (pow.f64 x -3/2) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x -3/4) 1) (/.f64 (pow.f64 x -3/4) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -3/4) (cbrt.f64 x)) (/.f64 (pow.f64 x -3/4) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -3)) 1) (/.f64 (cbrt.f64 (pow.f64 x -3/2)) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -3)) (pow.f64 x 1/4)) (/.f64 (cbrt.f64 (pow.f64 x -3/2)) (pow.f64 x 1/4))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -3)) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2))) |
(pow.f64 x -2) |
(pow.f64 (pow.f64 x -2) 1) |
(pow.f64 (/.f64 1 x) 2) |
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3) |
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3) |
(pow.f64 (*.f64 x x) -1) |
(neg.f64 (/.f64 (pow.f64 x -3/2) (neg.f64 (sqrt.f64 x)))) |
(sqrt.f64 (/.f64 (pow.f64 x -3) x)) |
(log.f64 (exp.f64 (pow.f64 x -2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2)))) |
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 x -2))) |
(exp.f64 (log.f64 (pow.f64 x -2))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x -2)) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 x -2))) |
| Outputs |
|---|
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (pow.f64 x -3/2) (pow.f64 x -1/2)) |
(*.f64 (pow.f64 x -2) 1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 1 (pow.f64 x -2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (/.f64 1 x) (/.f64 1 x)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (pow.f64 x -3/4) (*.f64 (pow.f64 x -3/4) (pow.f64 x -1/2))) |
(*.f64 (pow.f64 x -3/2) (pow.f64 x -1/2)) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(*.f64 (cbrt.f64 (pow.f64 x -3)) (*.f64 (cbrt.f64 (pow.f64 x -3/2)) (pow.f64 x -1/2))) |
(*.f64 (cbrt.f64 (pow.f64 x -3)) (*.f64 (pow.f64 x -1/2) (cbrt.f64 (pow.f64 x -3/2)))) |
(*.f64 (pow.f64 x -1/2) (*.f64 (cbrt.f64 (pow.f64 x -3)) (cbrt.f64 (pow.f64 x -3/2)))) |
(*.f64 (pow.f64 x -1/2) (pow.f64 x -3/2)) |
(*.f64 (pow.f64 x -3/2) (pow.f64 x -1/2)) |
(*.f64 (neg.f64 (pow.f64 x -3/2)) (/.f64 1 (neg.f64 (sqrt.f64 x)))) |
(*.f64 1 (/.f64 (pow.f64 x -3/2) (sqrt.f64 x))) |
(/.f64 (pow.f64 x -3/2) (sqrt.f64 x)) |
(*.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (pow.f64 x -3/2) (pow.f64 x 1/4))) |
(*.f64 (neg.f64 (pow.f64 x -3/2)) (/.f64 1 (neg.f64 (sqrt.f64 x)))) |
(*.f64 1 (/.f64 (pow.f64 x -3/2) (sqrt.f64 x))) |
(/.f64 (pow.f64 x -3/2) (sqrt.f64 x)) |
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (pow.f64 x -3/2) (cbrt.f64 (sqrt.f64 x)))) |
(/.f64 (/.f64 (pow.f64 x -3/2) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x)) |
(/.f64 (pow.f64 x -3/2) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x -3/4) 1) (/.f64 (pow.f64 x -3/4) (sqrt.f64 x))) |
(*.f64 (neg.f64 (pow.f64 x -3/2)) (/.f64 1 (neg.f64 (sqrt.f64 x)))) |
(*.f64 1 (/.f64 (pow.f64 x -3/2) (sqrt.f64 x))) |
(/.f64 (pow.f64 x -3/2) (sqrt.f64 x)) |
(*.f64 (/.f64 (pow.f64 x -3/4) (cbrt.f64 x)) (/.f64 (pow.f64 x -3/4) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (pow.f64 x -3/2) (cbrt.f64 (sqrt.f64 x)))) |
(/.f64 (/.f64 (pow.f64 x -3/2) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x)) |
(/.f64 (pow.f64 x -3/2) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -3)) 1) (/.f64 (cbrt.f64 (pow.f64 x -3/2)) (sqrt.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 x -3)) (/.f64 (cbrt.f64 (pow.f64 x -3/2)) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -3)) (pow.f64 x 1/4)) (/.f64 (cbrt.f64 (pow.f64 x -3/2)) (pow.f64 x 1/4))) |
(*.f64 (cbrt.f64 (pow.f64 x -3)) (/.f64 (cbrt.f64 (pow.f64 x -3/2)) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -3)) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (cbrt.f64 (pow.f64 x -3)) (cbrt.f64 x))) |
(pow.f64 x -2) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 (pow.f64 x -2) 1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 (/.f64 1 x) 2) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(pow.f64 (*.f64 x x) -1) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(neg.f64 (/.f64 (pow.f64 x -3/2) (neg.f64 (sqrt.f64 x)))) |
(*.f64 (neg.f64 (pow.f64 x -3/2)) (/.f64 1 (neg.f64 (sqrt.f64 x)))) |
(*.f64 1 (/.f64 (pow.f64 x -3/2) (sqrt.f64 x))) |
(/.f64 (pow.f64 x -3/2) (sqrt.f64 x)) |
(sqrt.f64 (/.f64 (pow.f64 x -3) x)) |
(log.f64 (exp.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2)))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(expm1.f64 (log1p.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(exp.f64 (log.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x -2)) 1)) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
(log1p.f64 (expm1.f64 (pow.f64 x -2))) |
(/.f64 1 (*.f64 x x)) |
(pow.f64 x -2) |
Compiled 368 to 261 computations (29.1% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 43 | 0 | 43 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 43 | 4 | 47 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 x -2) |
| ✓ | 34.9b | (/.f64 (pow.f64 x -3/2) (sqrt.f64 x)) |
| ✓ | 0.2b | (/.f64 (/.f64 1 x) x) |
| ✓ | 0.6b | (/.f64 1 (*.f64 x x)) |
Compiled 23 to 16 computations (30.4% saved)
| Inputs |
|---|
(/.f64 1 (*.f64 x x)) |
(/.f64 (/.f64 1 x) x) |
(*.f64 (/.f64 1 x) (/.f64 1 x)) |
(pow.f64 x -2) |
(/.f64 (pow.f64 x -3/2) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) |
| Outputs |
|---|
(pow.f64 x -2) |
3 calls:
| 5.0ms | (*.f64 x x) |
| 5.0ms | x |
| 3.0ms | (/.f64 1 (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (/.f64 1 (*.f64 x x)) |
| 0.0b | 1 | (*.f64 x x) |
Compiled 59 to 38 computations (35.6% saved)
Total -0.7b remaining (-435.8%)
Threshold costs -0.7b (-435.8%)
| Inputs |
|---|
(/.f64 1 (*.f64 x x)) |
(/.f64 (/.f64 1 x) x) |
(*.f64 (/.f64 1 x) (/.f64 1 x)) |
| Outputs |
|---|
(/.f64 (/.f64 1 x) x) |
3 calls:
| 4.0ms | (*.f64 x x) |
| 3.0ms | x |
| 2.0ms | (/.f64 1 (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | x |
| 0.2b | 1 | (/.f64 1 (*.f64 x x)) |
| 0.2b | 1 | (*.f64 x x) |
Compiled 30 to 19 computations (36.7% saved)
| 1× | egg-herbie |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 33 |
| 1 | 13 | 33 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(pow.f64 x -2) |
(/.f64 (/.f64 1 x) x) |
(/.f64 1 (*.f64 x x)) |
| Outputs |
|---|
(pow.f64 x -2) |
(/.f64 (/.f64 1 x) x) |
(/.f64 1 (*.f64 x x)) |
Compiled 16 to 11 computations (31.3% saved)
| 1× | egg-herbie |
| 1720× | associate-/l* |
| 892× | associate-*r* |
| 778× | associate-+r+ |
| 700× | distribute-rgt-in |
| 696× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 446 |
| 1 | 123 | 266 |
| 2 | 466 | 254 |
| 3 | 2690 | 254 |
| 1× | node limit |
Compiled 59 to 42 computations (28.8% saved)
Compiled 14 to 9 computations (35.7% saved)
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