Time bar (total: 1.4s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 75% | 25% | 0% | 4 |
| 87.5% | 12.5% | 0% | 5 |
| 93.7% | 6.2% | 0% | 6 |
| 96.8% | 3.1% | 0% | 7 |
| 98.4% | 1.6% | 0% | 8 |
| 99.2% | 0.8% | 0% | 9 |
| 99.6% | 0.4% | 0% | 10 |
| 99.8% | 0.2% | 0% | 11 |
| 99.9% | 0.1% | 0% | 12 |
| 99.9% | 0% | 0% | 13 |
| 99.9% | 0% | 0.1% | 14 |
Compiled 8 to 6 computations (25% saved)
| 722.0ms | 8256× | body | 128 | valid |
Compiled 16 to 12 computations (25% saved)
| 2× | egg-herbie |
| 3× | *-commutative_binary64 |
| 1× | associate-*r*_binary64 |
| 1× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 9 | 9 |
| 2 | 12 | 9 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(sqrt.f64 (*.f64 2 (*.f64 x x))) |
| Outputs |
|---|
(sqrt.f64 (*.f64 2 (*.f64 x x))) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 1× | associate-*r*_binary64 |
| 1× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 9 | 9 |
| 2 | 12 | 9 |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (*.f64 2 (*.f64 x x))) |
| Outputs |
|---|
(sqrt.f64 (*.f64 2 (*.f64 x x))) |
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 |
|---|---|---|
| ▶ | 31.7b | (sqrt.f64 (*.f64 2 (*.f64 x x))) |
Compiled 21 to 15 computations (28.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 2 (*.f64 x x)) |
| ✓ | 30.6b | (sqrt.f64 (*.f64 2 (*.f64 x x))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (sqrt.f64 (*.f64 2 (*.f64 x x))) |
| 1.0ms | x | @ | 0 | (*.f64 2 (*.f64 x x)) |
| 1.0ms | x | @ | inf | (sqrt.f64 (*.f64 2 (*.f64 x x))) |
| 0.0ms | x | @ | inf | (*.f64 2 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 2 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 503× | pow1_binary64 |
| 466× | add-log-exp_binary64 |
| 466× | log1p-expm1-u_binary64 |
| 466× | expm1-log1p-u_binary64 |
| 454× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 1 | 122 | 13 |
| 2 | 1363 | 13 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 2 (*.f64 x x))) |
(*.f64 2 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) (cbrt.f64 (*.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) (cbrt.f64 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) (sqrt.f64 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 x) 1/2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 964× | fma-def_binary64 |
| 286× | distribute-rgt-in_binary64 |
| 242× | unswap-sqr_binary64 |
| 225× | fma-neg_binary64 |
| 201× | fabs-mul_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 164 |
| 1 | 20 | 164 |
| 2 | 43 | 164 |
| 3 | 83 | 164 |
| 4 | 203 | 164 |
| 5 | 607 | 164 |
| 6 | 959 | 164 |
| 7 | 1606 | 164 |
| 8 | 2009 | 164 |
| 9 | 2876 | 164 |
| 10 | 3703 | 164 |
| 11 | 4514 | 164 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (sqrt.f64 2) (neg.f64 x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (sqrt.f64 2) (neg.f64 x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (sqrt.f64 2) (neg.f64 x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (sqrt.f64 2) (neg.f64 x)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 32 | 8 | 40 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 32 | 9 | 41 |
| Status | Error | Program |
|---|---|---|
| 32.0b | (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 3)) | |
| ✓ | 31.7b | (sqrt.f64 (*.f64 2 (*.f64 x x))) |
| 33.2b | (*.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 x)) | |
| 49.7b | (*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) (cbrt.f64 (*.f64 2 (*.f64 x x)))) | |
| ▶ | 30.5b | (*.f64 (sqrt.f64 2) (neg.f64 x)) |
| 32.5b | (*.f64 (sqrt.f64 2) x) | |
| 61.7b | (log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x)) | |
| 33.3b | (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2) | |
| 33.0b | (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3) |
Compiled 450 to 347 computations (22.9% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (*.f64 (sqrt.f64 2) (neg.f64 x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (sqrt.f64 2) (neg.f64 x)) |
| 0.0ms | x | @ | inf | (*.f64 (sqrt.f64 2) (neg.f64 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (sqrt.f64 2) (neg.f64 x)) |
| 1× | batch-egg-rewrite |
| 450× | pow1_binary64 |
| 418× | add-log-exp_binary64 |
| 417× | log1p-expm1-u_binary64 |
| 417× | expm1-log1p-u_binary64 |
| 410× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 125 | 6 |
| 2 | 1472 | 6 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 2) (neg.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) x))))))) |
| 1× | egg-herbie |
| 38× | fma-def_binary64 |
| 9× | sub-neg_binary64 |
| 6× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 4× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 96 |
| 1 | 12 | 96 |
| 2 | 25 | 96 |
| 3 | 29 | 96 |
| 4 | 33 | 96 |
| 5 | 51 | 96 |
| 6 | 73 | 96 |
| 7 | 84 | 96 |
| 8 | 96 | 96 |
| 9 | 121 | 96 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
| Outputs |
|---|
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (sqrt.f64 2) (neg.f64 x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (sqrt.f64 2) (neg.f64 x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (sqrt.f64 2) (neg.f64 x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (sqrt.f64 2) (neg.f64 x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (sqrt.f64 2) (neg.f64 x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (sqrt.f64 2) (neg.f64 x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (sqrt.f64 2) (neg.f64 x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (sqrt.f64 2) (neg.f64 x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (sqrt.f64 2) (neg.f64 x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (sqrt.f64 2) (neg.f64 x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (sqrt.f64 2) (neg.f64 x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (sqrt.f64 2) (neg.f64 x)) |
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 17 | 0 | 17 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 17 | 9 | 26 |
| Status | Error | Program |
|---|---|---|
| ▶ | 32.0b | (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 3)) |
| ✓ | 31.7b | (sqrt.f64 (*.f64 2 (*.f64 x x))) |
| 33.2b | (*.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 x)) | |
| 49.7b | (*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) (cbrt.f64 (*.f64 2 (*.f64 x x)))) | |
| ✓ | 30.5b | (*.f64 (sqrt.f64 2) (neg.f64 x)) |
| 32.5b | (*.f64 (sqrt.f64 2) x) | |
| 61.7b | (log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x)) | |
| 33.3b | (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2) | |
| 33.0b | (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3) |
Compiled 245 to 202 computations (17.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 2 (*.f64 x x)) | |
| ✓ | 0.4b | (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 3) |
| ✓ | 30.6b | (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 3)) |
| ✓ | 31.5b | (cbrt.f64 (*.f64 2 (*.f64 x x))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 3)) |
| 2.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 3) |
| 1.0ms | x | @ | 0 | (cbrt.f64 (*.f64 2 (*.f64 x x))) |
| 1.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 3) |
| 1.0ms | x | @ | inf | (cbrt.f64 (*.f64 2 (*.f64 x x))) |
| 1× | batch-egg-rewrite |
| 649× | pow1_binary64 |
| 612× | add-log-exp_binary64 |
| 611× | log1p-expm1-u_binary64 |
| 611× | expm1-log1p-u_binary64 |
| 77× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 1 | 189 | 22 |
| 2 | 1842 | 22 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (*.f64 2 (*.f64 x x))) |
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 3)) |
(pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))) (cbrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) (cbrt.f64 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 x) 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (*.f64 x x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) (cbrt.f64 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) (sqrt.f64 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) (cbrt.f64 (*.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) (pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))) 1/2) (cbrt.f64 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 x) 1/2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3/2) (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) (cbrt.f64 (*.f64 4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 2)) (*.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 4 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))) (cbrt.f64 (*.f64 4 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) (*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) (cbrt.f64 (*.f64 4 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (sqrt.f64 2)) (sqrt.f64 (*.f64 x (sqrt.f64 2)))) (sqrt.f64 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 2) 3) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))) 3) (cbrt.f64 (*.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (sqrt.f64 2)) (cbrt.f64 (*.f64 2 (*.f64 x x)))) (cbrt.f64 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))) 1) (cbrt.f64 (*.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))) (cbrt.f64 2)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))))) (cbrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (sqrt.f64 2)))) (cbrt.f64 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 38× | fma-def_binary64 |
| 9× | sub-neg_binary64 |
| 6× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 4× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 80 |
| 1 | 12 | 80 |
| 2 | 25 | 80 |
| 3 | 29 | 80 |
| 4 | 33 | 80 |
| 5 | 51 | 80 |
| 6 | 73 | 80 |
| 7 | 84 | 80 |
| 8 | 96 | 80 |
| 9 | 121 | 80 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (sqrt.f64 2) (neg.f64 x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (sqrt.f64 2) (neg.f64 x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (sqrt.f64 2) (neg.f64 x)) |
(*.f64 -1 (*.f64 (sqrt.f64 2) x)) |
(neg.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (sqrt.f64 2) (neg.f64 x)) |
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 100 | 3 | 103 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 101 | 11 | 112 |
| Status | Error | Program |
|---|---|---|
| ✓ | 32.0b | (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 3)) |
| ✓ | 31.7b | (sqrt.f64 (*.f64 2 (*.f64 x x))) |
| 61.7b | (log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x)) | |
| ▶ | 1.4b | (*.f64 (pow.f64 (cbrt.f64 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3/2)) |
| 33.2b | (*.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 x)) | |
| ✓ | 30.5b | (*.f64 (sqrt.f64 2) (neg.f64 x)) |
| 32.5b | (*.f64 (sqrt.f64 2) x) | |
| 50.4b | (sqrt.f64 (*.f64 (*.f64 (*.f64 2 x) (sqrt.f64 x)) (sqrt.f64 x))) | |
| 32.0b | (sqrt.f64 (*.f64 (*.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))) | |
| 33.3b | (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2) | |
| 33.0b | (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3) |
Compiled 1282 to 986 computations (23.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (pow.f64 (cbrt.f64 x) 2) |
| ✓ | 0.5b | (*.f64 (pow.f64 (cbrt.f64 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3/2)) |
| ✓ | 0.6b | (cbrt.f64 x) |
| ✓ | 1.0b | (cbrt.f64 2) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (*.f64 (pow.f64 (cbrt.f64 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3/2)) |
| 2.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 x) 2) |
| 2.0ms | x | @ | -inf | (cbrt.f64 x) |
| 1.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 x) 2) |
| 1.0ms | x | @ | inf | (pow.f64 (cbrt.f64 x) 2) |
| 1× | batch-egg-rewrite |
| 724× | pow1_binary64 |
| 681× | log1p-expm1-u_binary64 |
| 681× | expm1-log1p-u_binary64 |
| 97× | add-sqr-sqrt_binary64 |
| 93× | add-log-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 212 | 18 |
| 2 | 2283 | 18 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 2) |
(cbrt.f64 x) |
(*.f64 (pow.f64 (cbrt.f64 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3/2)) |
(pow.f64 (cbrt.f64 x) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 4)) (cbrt.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/6) (pow.f64 2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 2 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 2 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(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 (sqrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(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 (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 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(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 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 expm1.f64 (log1p.f64 (cbrt.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) 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 (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 1 (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 (cbrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(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 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (cbrt.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 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))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 72 |
| 1 | 6 | 72 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
| Outputs |
|---|
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
16 alts after pruning (12 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 74 | 5 | 79 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 74 | 16 | 90 |
| Status | Error | Program |
|---|---|---|
| 33.2b | (*.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 x)) | |
| 13.8b | (*.f64 (pow.f64 (cbrt.f64 2) 3/2) (pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) 3/2)) | |
| ✓ | 30.5b | (*.f64 (sqrt.f64 2) (neg.f64 x)) |
| 1.8b | (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 2)) 3) 3/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3/2)) | |
| ✓ | 32.0b | (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 3)) |
| ✓ | 31.7b | (sqrt.f64 (*.f64 2 (*.f64 x x))) |
| 61.7b | (log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x)) | |
| ✓ | 1.4b | (*.f64 (pow.f64 (cbrt.f64 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3/2)) |
| 1.9b | (*.f64 (pow.f64 (cbrt.f64 2) 3/2) (pow.f64 (*.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x))) 3/2)) | |
| 14.3b | (*.f64 (pow.f64 (cbrt.f64 2) 3/2) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))) 2) 3/2)) | |
| 1.3b | (*.f64 (pow.f64 (pow.f64 2 1/3) 3/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3/2)) | |
| 32.5b | (*.f64 (sqrt.f64 2) x) | |
| 50.4b | (sqrt.f64 (*.f64 (*.f64 (*.f64 2 x) (sqrt.f64 x)) (sqrt.f64 x))) | |
| 32.0b | (sqrt.f64 (*.f64 (*.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))) | |
| 33.3b | (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2) | |
| 33.0b | (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3) |
Compiled 1189 to 941 computations (20.9% saved)
Total 1.3b remaining (92.7%)
Threshold costs 0b (0%)
Compiled 264 to 194 computations (26.5% saved)
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 4294967295 |
| 1 | 12 | 4294967295 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (pow.f64 (pow.f64 2 1/3) 3/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3/2)) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 2 1/3) 3/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3/2)) |
| 1× | fuel |
Compiled 205 to 169 computations (17.6% saved)
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