Time bar (total: 1.8s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 50% | 25% | 25% | 4 |
| 62.5% | 12.5% | 25% | 5 |
| 62.5% | 6.2% | 31.3% | 6 |
| 65.6% | 3.1% | 31.3% | 7 |
| 65.6% | 1.6% | 32.8% | 8 |
| 66.4% | 0.8% | 32.8% | 9 |
| 66.4% | 0.4% | 33.2% | 10 |
| 66.6% | 0.2% | 33.2% | 11 |
| 66.6% | 0.1% | 33.3% | 12 |
| 66.6% | 0% | 33.4% | 13 |
| 66.6% | 0% | 33.4% | 14 |
Compiled 11 to 8 computations (27.3% saved)
| 705.0ms | 8256× | body | 128 | valid |
| 0.0ms | 4× | body | 128 | invalid |
| 2× | egg-herbie |
| 783× | fma-neg_binary64 |
| 701× | fma-def_binary64 |
| 349× | associate-*l*_binary64 |
| 313× | distribute-rgt-neg-in_binary64 |
| 258× | cancel-sign-sub-inv_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 17 | 13 |
| 2 | 45 | 11 |
| 3 | 118 | 11 |
| 4 | 232 | 11 |
| 5 | 311 | 11 |
| 6 | 465 | 11 |
| 7 | 796 | 11 |
| 8 | 1677 | 11 |
| 9 | 2538 | 11 |
| 10 | 3445 | 11 |
| 11 | 4626 | 11 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2))) |
| Outputs |
|---|
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2))) |
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2)))) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
| 783× | fma-neg_binary64 |
| 701× | fma-def_binary64 |
| 349× | associate-*l*_binary64 |
| 313× | distribute-rgt-neg-in_binary64 |
| 258× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 17 | 13 |
| 2 | 45 | 11 |
| 3 | 118 | 11 |
| 4 | 232 | 11 |
| 5 | 311 | 11 |
| 6 | 465 | 11 |
| 7 | 796 | 11 |
| 8 | 1677 | 11 |
| 9 | 2538 | 11 |
| 10 | 3445 | 11 |
| 11 | 4626 | 11 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2))) |
| Outputs |
|---|
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2))) |
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2)))) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| 0.2b | (*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2))) | |
| ▶ | 0.2b | (*.f64 x (*.f64 x (fma.f64 x -2 3))) |
Compiled 56 to 38 computations (32.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 x (fma.f64 x -2 3)) |
| ✓ | 0.2b | (*.f64 x (*.f64 x (fma.f64 x -2 3))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 x (*.f64 x (fma.f64 x -2 3))) |
| 1.0ms | x | @ | 0 | (*.f64 x (*.f64 x (fma.f64 x -2 3))) |
| 1.0ms | x | @ | inf | (*.f64 x (*.f64 x (fma.f64 x -2 3))) |
| 1.0ms | x | @ | -inf | (*.f64 x (fma.f64 x -2 3)) |
| 0.0ms | x | @ | 0 | (*.f64 x (fma.f64 x -2 3)) |
| 1× | batch-egg-rewrite |
| 647× | pow1_binary64 |
| 601× | add-log-exp_binary64 |
| 600× | log1p-expm1-u_binary64 |
| 600× | expm1-log1p-u_binary64 |
| 69× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 1 | 143 | 19 |
| 2 | 1612 | 19 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
(*.f64 x (fma.f64 x -2 3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -2) (*.f64 x x)) (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (*.f64 x -2)) (*.f64 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -2 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (fma.f64 x -2 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (fma.f64 x -2 3)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -2) x) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -2)) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -2 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x -2 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x -2 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -2 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -2 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -2 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -2 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -2 3) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -2 3)))))))) |
| 1× | egg-herbie |
| 536× | unswap-sqr_binary64 |
| 496× | associate-*l*_binary64 |
| 476× | fma-def_binary64 |
| 380× | *-commutative_binary64 |
| 378× | sqr-pow_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 264 |
| 1 | 33 | 264 |
| 2 | 66 | 246 |
| 3 | 157 | 210 |
| 4 | 420 | 210 |
| 5 | 1626 | 210 |
| 6 | 3326 | 210 |
| 7 | 3644 | 210 |
| 8 | 3895 | 210 |
| 9 | 4182 | 210 |
| 10 | 4561 | 210 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (pow.f64 x 2)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(*.f64 -2 (pow.f64 x 3)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(*.f64 -2 (pow.f64 x 3)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2))) |
(*.f64 -2 (pow.f64 x 2)) |
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2))) |
(*.f64 -2 (pow.f64 x 2)) |
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2))) |
| Outputs |
|---|
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -2) 3)) |
(*.f64 (*.f64 x x) (fma.f64 x -2 3)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -2) 3)) |
(*.f64 (*.f64 x x) (fma.f64 x -2 3)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -2) 3)) |
(*.f64 (*.f64 x x) (fma.f64 x -2 3)) |
(*.f64 -2 (pow.f64 x 3)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -2) 3)) |
(*.f64 (*.f64 x x) (fma.f64 x -2 3)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -2) 3)) |
(*.f64 (*.f64 x x) (fma.f64 x -2 3)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -2) 3)) |
(*.f64 (*.f64 x x) (fma.f64 x -2 3)) |
(*.f64 -2 (pow.f64 x 3)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -2) 3)) |
(*.f64 (*.f64 x x) (fma.f64 x -2 3)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -2) 3)) |
(*.f64 (*.f64 x x) (fma.f64 x -2 3)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -2) 3)) |
(*.f64 (*.f64 x x) (fma.f64 x -2 3)) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2))) |
(fma.f64 3 x (*.f64 (*.f64 x x) -2)) |
(fma.f64 3 x (*.f64 x (*.f64 x -2))) |
(*.f64 x (+.f64 (*.f64 x -2) 3)) |
(*.f64 x (fma.f64 x -2 3)) |
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2))) |
(fma.f64 3 x (*.f64 (*.f64 x x) -2)) |
(fma.f64 3 x (*.f64 x (*.f64 x -2))) |
(*.f64 x (+.f64 (*.f64 x -2) 3)) |
(*.f64 x (fma.f64 x -2 3)) |
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2))) |
(fma.f64 3 x (*.f64 (*.f64 x x) -2)) |
(fma.f64 3 x (*.f64 x (*.f64 x -2))) |
(*.f64 x (+.f64 (*.f64 x -2) 3)) |
(*.f64 x (fma.f64 x -2 3)) |
(*.f64 -2 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -2) |
(*.f64 x (*.f64 x -2)) |
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2))) |
(fma.f64 3 x (*.f64 (*.f64 x x) -2)) |
(fma.f64 3 x (*.f64 x (*.f64 x -2))) |
(*.f64 x (+.f64 (*.f64 x -2) 3)) |
(*.f64 x (fma.f64 x -2 3)) |
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2))) |
(fma.f64 3 x (*.f64 (*.f64 x x) -2)) |
(fma.f64 3 x (*.f64 x (*.f64 x -2))) |
(*.f64 x (+.f64 (*.f64 x -2) 3)) |
(*.f64 x (fma.f64 x -2 3)) |
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2))) |
(fma.f64 3 x (*.f64 (*.f64 x x) -2)) |
(fma.f64 3 x (*.f64 x (*.f64 x -2))) |
(*.f64 x (+.f64 (*.f64 x -2) 3)) |
(*.f64 x (fma.f64 x -2 3)) |
(*.f64 -2 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -2) |
(*.f64 x (*.f64 x -2)) |
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2))) |
(fma.f64 3 x (*.f64 (*.f64 x x) -2)) |
(fma.f64 3 x (*.f64 x (*.f64 x -2))) |
(*.f64 x (+.f64 (*.f64 x -2) 3)) |
(*.f64 x (fma.f64 x -2 3)) |
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2))) |
(fma.f64 3 x (*.f64 (*.f64 x x) -2)) |
(fma.f64 3 x (*.f64 x (*.f64 x -2))) |
(*.f64 x (+.f64 (*.f64 x -2) 3)) |
(*.f64 x (fma.f64 x -2 3)) |
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2))) |
(fma.f64 3 x (*.f64 (*.f64 x x) -2)) |
(fma.f64 3 x (*.f64 x (*.f64 x -2))) |
(*.f64 x (+.f64 (*.f64 x -2) 3)) |
(*.f64 x (fma.f64 x -2 3)) |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 37 | 5 | 42 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 37 | 7 | 44 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 x (*.f64 x (fma.f64 x -2 3))) |
| ▶ | 0.2b | (+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
| 0.2b | (*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2))) | |
| 19.3b | (*.f64 x (cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -2 3) 3)))) | |
| 0.9b | (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 3)) | |
| 28.1b | (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x)) 3)) | |
| 11.3b | (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 2) |
Compiled 580 to 406 computations (30% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 -2 (pow.f64 x 3)) |
| ✓ | 0.0b | (+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
| ✓ | 0.2b | (*.f64 3 (pow.f64 x 2)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 -2 (pow.f64 x 3)) |
| 1.0ms | x | @ | inf | (+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
| 1.0ms | x | @ | inf | (*.f64 3 (pow.f64 x 2)) |
| 1.0ms | x | @ | 0 | (*.f64 3 (pow.f64 x 2)) |
| 0.0ms | x | @ | inf | (*.f64 -2 (pow.f64 x 3)) |
| 1× | batch-egg-rewrite |
| 891× | log1p-expm1-u_binary64 |
| 891× | expm1-log1p-u_binary64 |
| 103× | add-sqr-sqrt_binary64 |
| 98× | add-log-exp_binary64 |
| 98× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 1 | 222 | 28 |
| 2 | 2568 | 28 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (pow.f64 x 2)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(*.f64 -2 (pow.f64 x 3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 6) 27))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 4) 9) (+.f64 (*.f64 3 (*.f64 x x)) (*.f64 2 (pow.f64 x 3)))) (/.f64 (*.f64 (pow.f64 x 6) 4) (+.f64 (*.f64 3 (*.f64 x x)) (*.f64 2 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x)))) (cbrt.f64 (pow.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))) 2)) (cbrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 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(*.f64 (pow.f64 (pow.f64 x 3) 3) -8)) (-.f64 (+.f64 (*.f64 (pow.f64 x 4) 9) (*.f64 (pow.f64 x 6) 4)) (*.f64 (*.f64 3 (*.f64 x x)) (*.f64 -2 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 6) 27) (*.f64 (pow.f64 (pow.f64 x 3) 3) -8)) (+.f64 (*.f64 (pow.f64 x 6) 4) (-.f64 (*.f64 (pow.f64 x 4) 9) (*.f64 (*.f64 3 (*.f64 x x)) (*.f64 -2 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 4) 9) (*.f64 (pow.f64 x 6) 4)) (+.f64 (*.f64 3 (*.f64 x x)) (*.f64 2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 27) (*.f64 (pow.f64 (pow.f64 x 3) 3) -8))) (neg.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 4) 9) (*.f64 (pow.f64 x 6) 4)) (*.f64 (*.f64 3 (*.f64 x x)) (*.f64 -2 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 9) (*.f64 (pow.f64 x 6) 4))) (neg.f64 (+.f64 (*.f64 3 (*.f64 x x)) (*.f64 2 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 4) (*.f64 (pow.f64 x 4) 9)) (-.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 3 (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -2 (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 (*.f64 x x)) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2 (pow.f64 x 3)) (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 6) 4)) (*.f64 x (cbrt.f64 -2)) (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 9)) (cbrt.f64 (*.f64 3 (*.f64 x x))) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -2) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -2) (pow.f64 x 3/2)) (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -2) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -8))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x 3)))))))) |
| 1× | egg-herbie |
| 674× | sqr-pow_binary64 |
| 536× | unswap-sqr_binary64 |
| 419× | associate-*l*_binary64 |
| 387× | *-commutative_binary64 |
| 279× | pow-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 23 | 21 |
| 2 | 52 | 21 |
| 3 | 114 | 21 |
| 4 | 311 | 21 |
| 5 | 1272 | 21 |
| 6 | 2442 | 21 |
| 7 | 2608 | 21 |
| 8 | 2858 | 21 |
| 9 | 3145 | 21 |
| 10 | 3524 | 21 |
| 11 | 4023 | 21 |
| 12 | 4628 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (pow.f64 x 2)) |
(*.f64 -2 (pow.f64 x 3)) |
(*.f64 -2 (pow.f64 x 3)) |
| Outputs |
|---|
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 -2 (pow.f64 x 3)) |
(*.f64 -2 (pow.f64 x 3)) |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 65 | 3 | 68 |
| Fresh | 3 | 2 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 68 | 7 | 75 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 x (*.f64 x (fma.f64 x -2 3))) |
| ✓ | 0.2b | (+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
| ▶ | 0.9b | (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 3)) |
| 28.1b | (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x)) 3)) | |
| 44.6b | (*.f64 (-.f64 (*.f64 (pow.f64 x 4) 9) (*.f64 (pow.f64 x 6) 4)) (/.f64 1 (+.f64 (*.f64 3 (*.f64 x x)) (*.f64 2 (pow.f64 x 3))))) | |
| 11.3b | (*.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x)))) (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))))) | |
| 43.8b | (-.f64 (/.f64 (*.f64 (pow.f64 x 4) 9) (+.f64 (*.f64 3 (*.f64 x x)) (*.f64 2 (pow.f64 x 3)))) (/.f64 (*.f64 (pow.f64 x 6) 4) (+.f64 (*.f64 3 (*.f64 x x)) (*.f64 2 (pow.f64 x 3))))) |
Compiled 1349 to 1010 computations (25.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 x (fma.f64 x -2 3)) | |
| ✓ | 0.2b | (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 3)) |
| ✓ | 0.6b | (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 3) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 3) |
| 2.0ms | x | @ | inf | (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) |
| 2.0ms | x | @ | -inf | (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 3)) |
| 1.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 3) |
| 1.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 3) |
| 1× | batch-egg-rewrite |
| 746× | pow1_binary64 |
| 700× | log1p-expm1-u_binary64 |
| 700× | expm1-log1p-u_binary64 |
| 81× | add-sqr-sqrt_binary64 |
| 77× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 1 | 191 | 29 |
| 2 | 1941 | 29 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 3) |
(cbrt.f64 (*.f64 x (fma.f64 x -2 3))) |
(*.f64 x (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -2) x) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -2)) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -2 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 x -2 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -2 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 x -2 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 2) (cbrt.f64 (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 3)) 2) (*.f64 (cbrt.f64 (fma.f64 x -2 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (fma.f64 x -2 3)) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3)))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -2 3)) (*.f64 (sqrt.f64 (fma.f64 x -2 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (fma.f64 x -2 3))) (sqrt.f64 (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (fma.f64 x -2 3)) 1/6) (*.f64 (pow.f64 (*.f64 x (fma.f64 x -2 3)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3)))) 2) 3) (cbrt.f64 (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (fma.f64 x -2 3)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (fma.f64 x -2 3)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -2 3)) 2)) (cbrt.f64 (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) (sqrt.f64 (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x -2 3) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x -2 3) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 2) 1) (cbrt.f64 (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 2) (cbrt.f64 x)) (cbrt.f64 (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 2) (pow.f64 (*.f64 x (fma.f64 x -2 3)) 1/6)) (pow.f64 (*.f64 x (fma.f64 x -2 3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -2 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -2 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -2 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -2 3) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x -2 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -2 3)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -2 3)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (fma.f64 x -2 3)) 1/6) (pow.f64 (*.f64 x (fma.f64 x -2 3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -2 3))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -2 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x -2 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x -2 3)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x -2 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (fma.f64 x -2 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (fma.f64 x -2 3)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 536× | unswap-sqr_binary64 |
| 490× | fma-def_binary64 |
| 444× | associate-*l*_binary64 |
| 378× | sqr-pow_binary64 |
| 358× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 147 |
| 1 | 26 | 147 |
| 2 | 58 | 138 |
| 3 | 153 | 120 |
| 4 | 395 | 120 |
| 5 | 1523 | 120 |
| 6 | 3272 | 120 |
| 7 | 3628 | 120 |
| 8 | 3879 | 120 |
| 9 | 4166 | 120 |
| 10 | 4545 | 120 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (pow.f64 x 2)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(*.f64 -2 (pow.f64 x 3)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(*.f64 -2 (pow.f64 x 3)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
| Outputs |
|---|
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
(*.f64 (*.f64 x x) (fma.f64 x -2 3)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
(*.f64 (*.f64 x x) (fma.f64 x -2 3)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
(*.f64 (*.f64 x x) (fma.f64 x -2 3)) |
(*.f64 -2 (pow.f64 x 3)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
(*.f64 (*.f64 x x) (fma.f64 x -2 3)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
(*.f64 (*.f64 x x) (fma.f64 x -2 3)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
(*.f64 (*.f64 x x) (fma.f64 x -2 3)) |
(*.f64 -2 (pow.f64 x 3)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
(*.f64 (*.f64 x x) (fma.f64 x -2 3)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
(*.f64 (*.f64 x x) (fma.f64 x -2 3)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
(*.f64 (*.f64 x x) (fma.f64 x -2 3)) |
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 102 | 0 | 102 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 102 | 7 | 109 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 x (*.f64 x (fma.f64 x -2 3))) |
| ✓ | 0.2b | (+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
| ✓ | 0.9b | (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 3)) |
| 28.1b | (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x)) 3)) | |
| 44.6b | (*.f64 (-.f64 (*.f64 (pow.f64 x 4) 9) (*.f64 (pow.f64 x 6) 4)) (/.f64 1 (+.f64 (*.f64 3 (*.f64 x x)) (*.f64 2 (pow.f64 x 3))))) | |
| ▶ | 11.3b | (*.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x)))) (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))))) |
| 43.8b | (-.f64 (/.f64 (*.f64 (pow.f64 x 4) 9) (+.f64 (*.f64 3 (*.f64 x x)) (*.f64 2 (pow.f64 x 3)))) (/.f64 (*.f64 (pow.f64 x 6) 4) (+.f64 (*.f64 3 (*.f64 x x)) (*.f64 2 (pow.f64 x 3))))) |
Compiled 1671 to 1233 computations (26.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))) |
| ✓ | 0.2b | (*.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x)))) (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))))) |
| ✓ | 0.2b | (*.f64 3 (*.f64 x x)) |
| ✓ | 20.0b | (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x)))) |
| 1.0ms | x | @ | 0 | (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x)))) |
| 1.0ms | x | @ | -inf | (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x)))) |
| 1.0ms | x | @ | -inf | (*.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x)))) (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))))) |
| 0.0ms | x | @ | inf | (*.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x)))) (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))))) |
| 1× | batch-egg-rewrite |
| 763× | pow1_binary64 |
| 712× | log1p-expm1-u_binary64 |
| 712× | expm1-log1p-u_binary64 |
| 88× | add-sqr-sqrt_binary64 |
| 84× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 51 |
| 1 | 211 | 51 |
| 2 | 2082 | 51 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x)))) |
(*.f64 3 (*.f64 x x)) |
(*.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x)))) (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))))) |
(fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))))) (cbrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))) (cbrt.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))) 1/4) (pow.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -2 (pow.f64 x 3)) 1) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -2 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x (*.f64 x 3)) 3)) (+.f64 (*.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 3))) (-.f64 (*.f64 (pow.f64 x 4) 9) (*.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 x (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 3))) (*.f64 (pow.f64 x 4) 9)) (-.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -2 (pow.f64 x 3)) 1) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))) (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))))) (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))) 2) (cbrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))) 1/4) (*.f64 (pow.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))) 1/4) (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))) (pow.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))) 1/4)) (pow.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))) (cbrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))))) (cbrt.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -2 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x (*.f64 x 3)) 3)) (+.f64 (*.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 3))) (-.f64 (*.f64 (pow.f64 x 4) 9) (*.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 x (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 3))) (*.f64 (pow.f64 x 4) 9)) (-.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))))))))) |
| 1× | egg-herbie |
| 576× | times-frac_binary64 |
| 506× | fma-neg_binary64 |
| 501× | associate-/l*_binary64 |
| 421× | fma-def_binary64 |
| 252× | associate-/r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 480 |
| 1 | 76 | 478 |
| 2 | 232 | 456 |
| 3 | 850 | 407 |
| 4 | 4931 | 407 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 3) x) |
(+.f64 (*.f64 (sqrt.f64 3) x) (*.f64 -1 (/.f64 (pow.f64 x 2) (sqrt.f64 3)))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 3) 3))) (+.f64 (*.f64 (sqrt.f64 3) x) (*.f64 -1 (/.f64 (pow.f64 x 2) (sqrt.f64 3))))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 3) 5))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 3) 3))) (+.f64 (*.f64 (sqrt.f64 3) x) (*.f64 -1 (/.f64 (pow.f64 x 2) (sqrt.f64 3)))))) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(*.f64 -2 (pow.f64 x 3)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(*.f64 -2 (pow.f64 x 3)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(*.f64 3 (pow.f64 x 2)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(*.f64 -2 (pow.f64 x 3)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(*.f64 -2 (pow.f64 x 3)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 3) x) |
(+.f64 (*.f64 (sqrt.f64 3) x) (*.f64 -1 (/.f64 (pow.f64 x 2) (sqrt.f64 3)))) |
(fma.f64 (sqrt.f64 3) x (neg.f64 (/.f64 (*.f64 x x) (sqrt.f64 3)))) |
(-.f64 (*.f64 (sqrt.f64 3) x) (/.f64 x (/.f64 (sqrt.f64 3) x))) |
(-.f64 (*.f64 (sqrt.f64 3) x) (/.f64 (*.f64 x x) (sqrt.f64 3))) |
(*.f64 x (-.f64 (sqrt.f64 3) (/.f64 x (sqrt.f64 3)))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 3) 3))) (+.f64 (*.f64 (sqrt.f64 3) x) (*.f64 -1 (/.f64 (pow.f64 x 2) (sqrt.f64 3))))) |
(fma.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 3) 3)) (fma.f64 (sqrt.f64 3) x (neg.f64 (/.f64 (*.f64 x x) (sqrt.f64 3))))) |
(+.f64 (-.f64 (*.f64 (sqrt.f64 3) x) (/.f64 x (/.f64 (sqrt.f64 3) x))) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 3)))) |
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 3)) (-.f64 (*.f64 (sqrt.f64 3) x) (/.f64 (*.f64 x x) (sqrt.f64 3)))) |
(fma.f64 (sqrt.f64 3) x (*.f64 (/.f64 x (/.f64 (sqrt.f64 3) x)) (+.f64 -1 (/.f64 x -6)))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 3) 5))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 3) 3))) (+.f64 (*.f64 (sqrt.f64 3) x) (*.f64 -1 (/.f64 (pow.f64 x 2) (sqrt.f64 3)))))) |
(fma.f64 -1/2 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 3) 5)) (fma.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 3) 3)) (fma.f64 (sqrt.f64 3) x (neg.f64 (/.f64 (*.f64 x x) (sqrt.f64 3)))))) |
(fma.f64 -1/2 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 3) 5)) (+.f64 (-.f64 (*.f64 (sqrt.f64 3) x) (/.f64 x (/.f64 (sqrt.f64 3) x))) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 3))))) |
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 3) 5)) (fma.f64 (sqrt.f64 3) x (*.f64 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 3))))) (/.f64 (*.f64 x x) (sqrt.f64 3))) |
(fma.f64 (sqrt.f64 3) x (fma.f64 -1/2 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 3) 5)) (*.f64 (/.f64 x (/.f64 (sqrt.f64 3) x)) (+.f64 -1 (/.f64 x -6))))) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (*.f64 3 x)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 (pow.f64 x 3) -2)) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 (pow.f64 x 3) -2)) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 (pow.f64 x 3) -2)) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
(*.f64 -2 (pow.f64 x 3)) |
(*.f64 (pow.f64 x 3) -2) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 (pow.f64 x 3) -2)) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 (pow.f64 x 3) -2)) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 (pow.f64 x 3) -2)) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
(*.f64 -2 (pow.f64 x 3)) |
(*.f64 (pow.f64 x 3) -2) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 (pow.f64 x 3) -2)) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 (pow.f64 x 3) -2)) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 (pow.f64 x 3) -2)) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (*.f64 3 x)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 (pow.f64 x 3) -2)) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 (pow.f64 x 3) -2)) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 (pow.f64 x 3) -2)) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
(*.f64 -2 (pow.f64 x 3)) |
(*.f64 (pow.f64 x 3) -2) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 (pow.f64 x 3) -2)) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 (pow.f64 x 3) -2)) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 (pow.f64 x 3) -2)) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
(*.f64 -2 (pow.f64 x 3)) |
(*.f64 (pow.f64 x 3) -2) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 (pow.f64 x 3) -2)) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 (pow.f64 x 3) -2)) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
(fma.f64 3 (*.f64 x x) (*.f64 (pow.f64 x 3) -2)) |
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) |
(*.f64 x (*.f64 x (fma.f64 x -2 3))) |
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 134 | 2 | 136 |
| Fresh | 2 | 1 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 136 | 7 | 143 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 x (*.f64 x (fma.f64 x -2 3))) |
| ✓ | 0.2b | (+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))) |
| ✓ | 0.9b | (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 3)) |
| 28.1b | (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x)) 3)) | |
| ✓ | 11.3b | (*.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x)))) (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x))))) |
| 43.8b | (/.f64 (-.f64 (*.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 3))) (*.f64 (pow.f64 x 4) 9)) (-.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 x (*.f64 x 3)))) | |
| 11.3b | (*.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x)))) (pow.f64 (pow.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))) 1/4) 2)) |
Compiled 3733 to 2760 computations (26.1% saved)
Total -51.6b remaining (-44602%)
Threshold costs -51.6b (-44602%)
Compiled 552 to 390 computations (29.3% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 14 |
| 1 | 10 | 14 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))) |
| Outputs |
|---|
(fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3))) |
| 1× | fuel |
Compiled 141 to 103 computations (27% saved)
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