Time bar (total: 1.2s)
| 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)
| 723.0ms | 8256× | body | 128 | valid |
| 2× | egg-herbie |
| 2× | *-commutative_binary64 |
| 1× | associate-*r*_binary64 |
| 1× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 10 | 9 |
| 2 | 11 | 9 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(sqrt.f64 (*.f64 (*.f64 2 x) x)) |
| Outputs |
|---|
(sqrt.f64 (*.f64 (*.f64 2 x) x)) |
(sqrt.f64 (*.f64 2 (*.f64 x x))) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 1× | associate-*r*_binary64 |
| 1× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 10 | 9 |
| 2 | 11 | 9 |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (*.f64 (*.f64 2 x) x)) |
| Outputs |
|---|
(sqrt.f64 (*.f64 (*.f64 2 x) x)) |
(sqrt.f64 (*.f64 2 (*.f64 x x))) |
Compiled 13 to 9 computations (30.8% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 30.2b | (sqrt.f64 (*.f64 (*.f64 2 x) x)) |
Compiled 14 to 10 computations (28.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 28.9b | (sqrt.f64 (*.f64 (*.f64 2 x) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (sqrt.f64 (*.f64 (*.f64 2 x) x)) |
| 1.0ms | x | @ | inf | (sqrt.f64 (*.f64 (*.f64 2 x) x)) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (*.f64 (*.f64 2 x) x)) |
| 1× | batch-egg-rewrite |
| 527× | pow1_binary64 |
| 488× | add-log-exp_binary64 |
| 488× | log1p-expm1-u_binary64 |
| 488× | expm1-log1p-u_binary64 |
| 477× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 122 | 6 |
| 2 | 1374 | 6 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (*.f64 2 x) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) (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 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) (sqrt.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (pow.f64 (*.f64 x x) 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 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 1/2))))) (#(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 (*.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 fabs.f64 (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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 log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.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 | 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)) |
Compiled 208 to 159 computations (23.6% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 21 | 5 | 26 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 21 | 6 | 27 |
| Status | Error | Program |
|---|---|---|
| ✓ | 30.2b | (sqrt.f64 (*.f64 (*.f64 2 x) x)) |
| ▶ | 0.5b | (fabs.f64 (*.f64 (sqrt.f64 2) x)) |
| 30.6b | (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))))) | |
| 30.4b | (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 2 x))) | |
| 30.5b | (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2) | |
| 30.3b | (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3) |
Compiled 103 to 81 computations (21.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (*.f64 (sqrt.f64 2) x) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (*.f64 (sqrt.f64 2) x) |
| 0.0ms | x | @ | 0 | (*.f64 (sqrt.f64 2) x) |
| 0.0ms | x | @ | inf | (*.f64 (sqrt.f64 2) x) |
| 1× | batch-egg-rewrite |
| 417× | pow1_binary64 |
| 386× | add-log-exp_binary64 |
| 386× | log1p-expm1-u_binary64 |
| 386× | expm1-log1p-u_binary64 |
| 378× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 6 |
| 1 | 100 | 6 |
| 2 | 1075 | 6 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 2) x) |
| Outputs |
|---|
((#(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 sqrt.f64 (*.f64 2 (*.f64 x x)))))) (#(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 (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 log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.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 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Compiled 105 to 91 computations (13.3% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 11 | 2 | 13 |
| Fresh | 1 | 3 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 12 | 7 | 19 |
| Status | Error | Program |
|---|---|---|
| ✓ | 30.2b | (sqrt.f64 (*.f64 (*.f64 2 x) x)) |
| ✓ | 0.5b | (fabs.f64 (*.f64 (sqrt.f64 2) x)) |
| ▶ | 1.4b | (fabs.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)) |
| 30.6b | (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))))) | |
| 30.4b | (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 2 x))) | |
| 30.5b | (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2) | |
| 42.9b | (fabs.f64 (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))) |
Compiled 121 to 98 computations (19% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.5b | (*.f64 (sqrt.f64 2) x) | |
| ✓ | 0.6b | (cbrt.f64 (*.f64 (sqrt.f64 2) x)) |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3) |
| 2.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3) |
| 1.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3) |
| 1.0ms | x | @ | -inf | (cbrt.f64 (*.f64 (sqrt.f64 2) x)) |
| 1.0ms | x | @ | inf | (cbrt.f64 (*.f64 (sqrt.f64 2) x)) |
| 1× | batch-egg-rewrite |
| 575× | pow1_binary64 |
| 543× | add-log-exp_binary64 |
| 542× | log1p-expm1-u_binary64 |
| 542× | expm1-log1p-u_binary64 |
| 530× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 14 |
| 1 | 168 | 14 |
| 2 | 1578 | 14 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3) |
(cbrt.f64 (*.f64 (sqrt.f64 2) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) (cbrt.f64 (*.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) (cbrt.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))) (cbrt.f64 (*.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) (sqrt.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/6) (*.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/6) (cbrt.f64 (*.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))) 3) (cbrt.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 1) (cbrt.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) (cbrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) (pow.f64 (*.f64 (sqrt.f64 2) x) 1/6)) (pow.f64 (*.f64 (sqrt.f64 2) x) 1/6))))) (#(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 (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 log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.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 (+.f64 1 (cbrt.f64 (*.f64 (sqrt.f64 2) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))) (cbrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))) (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/6) (pow.f64 (*.f64 (sqrt.f64 2) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Compiled 776 to 636 computations (18% saved)
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 64 | 3 | 67 |
| Fresh | 3 | 1 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 68 | 6 | 74 |
| Status | Error | Program |
|---|---|---|
| ✓ | 30.2b | (sqrt.f64 (*.f64 (*.f64 2 x) x)) |
| ✓ | 0.5b | (fabs.f64 (*.f64 (sqrt.f64 2) x)) |
| 1.4b | (fabs.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))) | |
| 2.6b | (fabs.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))) 3) 3)) | |
| 30.4b | (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 2 x))) | |
| ▶ | 0.4b | (fabs.f64 (*.f64 (*.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))) |
Compiled 99 to 82 computations (17.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 x (pow.f64 2 1/4)) |
| ✓ | 0.3b | (*.f64 (*.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | x | @ | 0 | (*.f64 x (pow.f64 2 1/4)) |
| 15.0ms | x | @ | -inf | (*.f64 x (pow.f64 2 1/4)) |
| 1.0ms | x | @ | inf | (*.f64 (*.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4)) |
| 0.0ms | x | @ | inf | (*.f64 x (pow.f64 2 1/4)) |
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4)) |
| 1× | batch-egg-rewrite |
| 610× | pow1_binary64 |
| 566× | add-log-exp_binary64 |
| 566× | log1p-expm1-u_binary64 |
| 566× | expm1-log1p-u_binary64 |
| 68× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 1 | 148 | 13 |
| 2 | 1609 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4)) |
(*.f64 x (pow.f64 2 1/4)) |
| Outputs |
|---|
((#(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 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 sqrt.f64 (*.f64 (*.f64 x x) 2))))) (#(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 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 cbrt.f64 (*.f64 (pow.f64 (pow.f64 2 1/4) 3) (pow.f64 (*.f64 x (pow.f64 2 1/4)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (pow.f64 2 1/4)) 3) (pow.f64 (pow.f64 2 1/4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.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 x (pow.f64 2 1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 2 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (pow.f64 2 1/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (pow.f64 2 1/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 2 1/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (sqrt.f64 2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 2 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (pow.f64 2 1/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (pow.f64 2 1/4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 2 1/4) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (pow.f64 2 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (pow.f64 2 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (pow.f64 2 1/4)))))))) |
| 1× | egg-herbie |
| 733× | sqr-pow_binary64 |
| 435× | associate-*l*_binary64 |
| 362× | unswap-sqr_binary64 |
| 313× | pow-sqr_binary64 |
| 256× | cube-prod_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 156 |
| 1 | 14 | 156 |
| 2 | 23 | 156 |
| 3 | 42 | 156 |
| 4 | 99 | 156 |
| 5 | 305 | 156 |
| 6 | 1146 | 156 |
| 7 | 1839 | 156 |
| 8 | 1929 | 156 |
| 9 | 2064 | 156 |
| 10 | 2223 | 156 |
| 11 | 2457 | 156 |
| 12 | 2779 | 156 |
| 13 | 3200 | 156 |
| 14 | 3700 | 156 |
| 15 | 4295 | 156 |
| 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 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (sqrt.f64 2) x) |
(*.f64 (pow.f64 2 1/4) x) |
(*.f64 (pow.f64 2 1/4) x) |
(*.f64 (pow.f64 2 1/4) x) |
(*.f64 (pow.f64 2 1/4) x) |
(*.f64 (pow.f64 2 1/4) x) |
(*.f64 (pow.f64 2 1/4) x) |
(*.f64 (pow.f64 2 1/4) x) |
(*.f64 (pow.f64 2 1/4) x) |
(*.f64 (pow.f64 2 1/4) x) |
(*.f64 (pow.f64 2 1/4) x) |
(*.f64 (pow.f64 2 1/4) x) |
(*.f64 (pow.f64 2 1/4) 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) |
(*.f64 (pow.f64 2 1/4) x) |
(*.f64 x (pow.f64 2 1/4)) |
(*.f64 (pow.f64 2 1/4) x) |
(*.f64 x (pow.f64 2 1/4)) |
(*.f64 (pow.f64 2 1/4) x) |
(*.f64 x (pow.f64 2 1/4)) |
(*.f64 (pow.f64 2 1/4) x) |
(*.f64 x (pow.f64 2 1/4)) |
(*.f64 (pow.f64 2 1/4) x) |
(*.f64 x (pow.f64 2 1/4)) |
(*.f64 (pow.f64 2 1/4) x) |
(*.f64 x (pow.f64 2 1/4)) |
(*.f64 (pow.f64 2 1/4) x) |
(*.f64 x (pow.f64 2 1/4)) |
(*.f64 (pow.f64 2 1/4) x) |
(*.f64 x (pow.f64 2 1/4)) |
(*.f64 (pow.f64 2 1/4) x) |
(*.f64 x (pow.f64 2 1/4)) |
(*.f64 (pow.f64 2 1/4) x) |
(*.f64 x (pow.f64 2 1/4)) |
(*.f64 (pow.f64 2 1/4) x) |
(*.f64 x (pow.f64 2 1/4)) |
(*.f64 (pow.f64 2 1/4) x) |
(*.f64 x (pow.f64 2 1/4)) |
Compiled 332 to 297 computations (10.5% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 31 | 0 | 31 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 31 | 6 | 37 |
| Status | Error | Program |
|---|---|---|
| ✓ | 30.2b | (sqrt.f64 (*.f64 (*.f64 2 x) x)) |
| ✓ | 0.5b | (fabs.f64 (*.f64 (sqrt.f64 2) x)) |
| 1.4b | (fabs.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))) | |
| 2.6b | (fabs.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))) 3) 3)) | |
| 30.4b | (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 2 x))) | |
| ✓ | 0.4b | (fabs.f64 (*.f64 (*.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))) |
Compiled 56 to 46 computations (17.9% saved)
Total -52.4b remaining (-13018.1%)
Threshold costs -52.4b (-13018.1%)
| Inputs |
|---|
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))) |
(fabs.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))) 3) 3)) |
(fabs.f64 (*.f64 (*.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))) |
(fabs.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)) |
(fabs.f64 (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))) |
(fabs.f64 (*.f64 (sqrt.f64 2) x)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 2 x))) |
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3) |
(sqrt.f64 (*.f64 (*.f64 2 x) x)) |
| Outputs |
|---|
(fabs.f64 (*.f64 (*.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))) |
| Time | Error | Segments | Branch |
| 6.0ms | 0.4b | 1 | x |
| 8.0ms | 0.4b | 1 | (sqrt.f64 (*.f64 (*.f64 2 x) x)) |
| 5.0ms | 0.4b | 1 | (*.f64 (*.f64 2 x) x) |
Compiled 115 to 91 computations (20.9% saved)
| 1× | egg-herbie |
| 4× | fabs-mul_binary64 |
| 2× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 13 | 15 |
| 2 | 17 | 15 |
| 1× | saturated |
| Inputs |
|---|
(fabs.f64 (*.f64 (*.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))) |
| Outputs |
|---|
(fabs.f64 (*.f64 (*.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))) |
(fabs.f64 (*.f64 (pow.f64 2 1/4) (*.f64 x (pow.f64 2 1/4)))) |
| 1× | fuel |
Compiled 22 to 20 computations (9.1% saved)
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