Time bar (total: 3.2s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 25% | 75% | 0% | 3 |
| 62.5% | 37.5% | 0% | 4 |
| 68.7% | 18.7% | 12.5% | 5 |
| 71.8% | 9.4% | 18.8% | 6 |
| 73.4% | 4.7% | 21.9% | 7 |
| 74.2% | 2.3% | 23.5% | 8 |
| 74.6% | 1.2% | 24.3% | 9 |
| 75% | 0.6% | 24.5% | 10 |
| 75.1% | 0.3% | 24.6% | 11 |
| 75.1% | 0.1% | 24.7% | 12 |
Compiled 8 to 6 computations (25% saved)
| 1.3s | 2760× | body | 1024 | valid |
| 353.0ms | 1335× | body | 512 | valid |
| 254.0ms | 2814× | body | 64 | valid |
| 194.0ms | 298× | body | 2048 | valid |
| 145.0ms | 681× | body | 256 | valid |
| 80.0ms | 368× | body | 128 | valid |
| 0.0ms | 6× | body | 64 | invalid |
| 2× | egg-herbie |
| 95× | fma-def_binary64 |
| 80× | fma-neg_binary64 |
| 32× | distribute-rgt-in_binary64 |
| 28× | cancel-sign-sub-inv_binary64 |
| 26× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 6 |
| 1 | 15 | 6 |
| 2 | 18 | 6 |
| 3 | 22 | 6 |
| 4 | 30 | 6 |
| 5 | 40 | 6 |
| 6 | 59 | 6 |
| 7 | 100 | 6 |
| 8 | 146 | 6 |
| 9 | 222 | 6 |
| 10 | 349 | 6 |
| 11 | 507 | 6 |
| 12 | 579 | 6 |
| 13 | 615 | 6 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) 1) x) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
| 95× | fma-def_binary64 |
| 80× | fma-neg_binary64 |
| 32× | distribute-rgt-in_binary64 |
| 28× | cancel-sign-sub-inv_binary64 |
| 26× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 6 |
| 1 | 15 | 6 |
| 2 | 18 | 6 |
| 3 | 22 | 6 |
| 4 | 30 | 6 |
| 5 | 40 | 6 |
| 6 | 59 | 6 |
| 7 | 100 | 6 |
| 8 | 146 | 6 |
| 9 | 222 | 6 |
| 10 | 349 | 6 |
| 11 | 507 | 6 |
| 12 | 579 | 6 |
| 13 | 615 | 6 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) 1) x) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (/.f64 (expm1.f64 x) x) |
Compiled 21 to 13 computations (38.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (expm1.f64 x) |
| ✓ | 0.0b | (/.f64 (expm1.f64 x) x) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (expm1.f64 x) x) |
| 1.0ms | x | @ | inf | (/.f64 (expm1.f64 x) x) |
| 1.0ms | x | @ | 0 | (/.f64 (expm1.f64 x) x) |
| 0.0ms | x | @ | 0 | (expm1.f64 x) |
| 0.0ms | x | @ | inf | (expm1.f64 x) |
| 1× | batch-egg-rewrite |
| 449× | pow1_binary64 |
| 430× | add-sqr-sqrt_binary64 |
| 424× | *-un-lft-identity_binary64 |
| 417× | add-log-exp_binary64 |
| 417× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 9 |
| 1 | 83 | 9 |
| 2 | 1104 | 9 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (expm1.f64 x) x) |
(expm1.f64 x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (expm1.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 1 (*.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) 1) (+.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 x))))))) |
| 1× | egg-herbie |
| 803× | unswap-sqr_binary64 |
| 583× | associate-/l/_binary64 |
| 534× | times-frac_binary64 |
| 493× | distribute-lft-out_binary64 |
| 406× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 157 |
| 1 | 90 | 155 |
| 2 | 198 | 155 |
| 3 | 573 | 143 |
| 4 | 1480 | 143 |
| 5 | 2562 | 143 |
| 6 | 5082 | 143 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
x |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x))) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 1/2 x) 1) |
(fma.f64 1/2 x 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) 1)) |
(fma.f64 x (fma.f64 x 1/6 1/2) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))) |
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 1/24 (pow.f64 x 3)))) |
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) |
(fma.f64 x (*.f64 x 1/6) (fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) 1))) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x (fma.f64 x 1/24 1/6)) 1)) |
(fma.f64 (*.f64 x x) (fma.f64 x 1/24 1/6) (fma.f64 1/2 x 1)) |
(fma.f64 x (fma.f64 x 1/6 1/2) (fma.f64 1/24 (pow.f64 x 3) 1)) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
x |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x) |
(fma.f64 1/2 (*.f64 x x) x) |
(fma.f64 x (*.f64 1/2 x) x) |
(*.f64 x (fma.f64 1/2 x 1)) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x)) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/6 (pow.f64 x 3) x)) |
(*.f64 x (fma.f64 x (fma.f64 x 1/6 1/2) 1)) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x))) |
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) x))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/24 (pow.f64 x 4) x))) |
(fma.f64 x (*.f64 x (fma.f64 x 1/6 1/2)) (fma.f64 1/24 (pow.f64 x 4) x)) |
(fma.f64 (*.f64 x x) (fma.f64 x 1/6 1/2) (fma.f64 1/24 (pow.f64 x 4) x)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x 1/24 1/6) (fma.f64 1/2 x 1))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/6 1/2) (fma.f64 1/24 (pow.f64 x 3) 1))) |
(-.f64 (exp.f64 x) 1) |
(expm1.f64 x) |
(-.f64 (exp.f64 x) 1) |
(expm1.f64 x) |
(-.f64 (exp.f64 x) 1) |
(expm1.f64 x) |
(-.f64 (exp.f64 x) 1) |
(expm1.f64 x) |
(-.f64 (exp.f64 x) 1) |
(expm1.f64 x) |
(-.f64 (exp.f64 x) 1) |
(expm1.f64 x) |
(-.f64 (exp.f64 x) 1) |
(expm1.f64 x) |
(-.f64 (exp.f64 x) 1) |
(expm1.f64 x) |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 65 | 1 | 66 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 65 | 2 | 67 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (expm1.f64 x) x) |
| ▶ | 0.6b | (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3) |
Compiled 605 to 306 computations (49.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (expm1.f64 x) | |
| 0.0b | (/.f64 (expm1.f64 x) x) | |
| ✓ | 0.3b | (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3) |
| ✓ | 0.3b | (cbrt.f64 (/.f64 (expm1.f64 x) x)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3) |
| 1.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3) |
| 1.0ms | x | @ | -inf | (cbrt.f64 (/.f64 (expm1.f64 x) x)) |
| 1.0ms | x | @ | inf | (cbrt.f64 (/.f64 (expm1.f64 x) x)) |
| 1.0ms | x | @ | 0 | (cbrt.f64 (/.f64 (expm1.f64 x) x)) |
| 1× | batch-egg-rewrite |
| 624× | pow1_binary64 |
| 590× | add-log-exp_binary64 |
| 590× | log1p-expm1-u_binary64 |
| 590× | expm1-log1p-u_binary64 |
| 575× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 14 |
| 1 | 152 | 14 |
| 2 | 1626 | 14 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (/.f64 (expm1.f64 x) x)) |
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (/.f64 1 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1/3) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 x) (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) (cbrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 x) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 3) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (expm1.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (expm1.f64 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x))))))) |
| 1× | egg-herbie |
| 1218× | fma-def_binary64 |
| 775× | sqr-pow_binary64 |
| 606× | cube-prod_binary64 |
| 483× | fabs-mul_binary64 |
| 391× | pow-sqr_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 82 |
| 1 | 77 | 78 |
| 2 | 182 | 75 |
| 3 | 518 | 62 |
| 4 | 1340 | 56 |
| 5 | 2362 | 56 |
| 6 | 2884 | 56 |
| 7 | 3017 | 56 |
| 8 | 3171 | 56 |
| 9 | 3361 | 56 |
| 10 | 3616 | 56 |
| 11 | 4264 | 56 |
| 12 | 4673 | 56 |
| 13 | 5202 | 56 |
| 14 | 5864 | 56 |
| 15 | 6692 | 56 |
| 16 | 7095 | 56 |
| 17 | 7463 | 56 |
| 18 | 7797 | 56 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 1/6 x)) |
(+.f64 1 (+.f64 (*.f64 1/6 x) (*.f64 1/36 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 1/6 x) (+.f64 (*.f64 1/324 (pow.f64 x 3)) (*.f64 1/36 (pow.f64 x 2))))) |
1 |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 1/6 x)) |
(fma.f64 1/6 x 1) |
(+.f64 1 (+.f64 (*.f64 1/6 x) (*.f64 1/36 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 1/6 x (*.f64 1/36 (*.f64 x x)))) |
(+.f64 1 (fma.f64 1/6 x (*.f64 x (*.f64 x 1/36)))) |
(fma.f64 1/6 x (fma.f64 x (*.f64 x 1/36) 1)) |
(fma.f64 x (fma.f64 x 1/36 1/6) 1) |
(+.f64 1 (+.f64 (*.f64 1/6 x) (+.f64 (*.f64 1/324 (pow.f64 x 3)) (*.f64 1/36 (pow.f64 x 2))))) |
(+.f64 1 (fma.f64 1/6 x (fma.f64 1/324 (pow.f64 x 3) (*.f64 1/36 (*.f64 x x))))) |
(+.f64 1 (fma.f64 1/6 x (fma.f64 1/36 (*.f64 x x) (*.f64 1/324 (pow.f64 x 3))))) |
(+.f64 1 (fma.f64 1/324 (pow.f64 x 3) (*.f64 x (+.f64 (*.f64 x 1/36) 1/6)))) |
(fma.f64 x (*.f64 x (fma.f64 x 1/324 1/36)) (fma.f64 1/6 x 1)) |
(fma.f64 x (fma.f64 x (fma.f64 x 1/324 1/36) 1/6) 1) |
1 |
(+.f64 (*.f64 1/2 x) 1) |
(fma.f64 1/2 x 1) |
(fma.f64 x 1/2 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 1/6 (*.f64 x x) (fma.f64 x 1/2 1)) |
(fma.f64 x (fma.f64 1/6 x 1/2) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))) |
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 (pow.f64 x 3) 1/24))) |
(fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 3) 1/24 1))) |
(fma.f64 1/6 (*.f64 x x) (fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 1))) |
(fma.f64 x 1/2 (fma.f64 (*.f64 x x) (fma.f64 x 1/24 1/6) 1)) |
(fma.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2) 1) |
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 151 | 0 | 151 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 151 | 2 | 153 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (expm1.f64 x) x) |
| ✓ | 0.6b | (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3) |
Compiled 1697 to 878 computations (48.3% saved)
Total -37.5b remaining (-319924.3%)
Threshold costs -37.5b (-319924.3%)
| Inputs |
|---|
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
| Outputs |
|---|
(/.f64 (expm1.f64 x) x) |
| 5.0ms | 0.0b | x |
| 2.0ms | 0.0b | (/.f64 (-.f64 (exp.f64 x) 1) x) |
Compiled 27 to 16 computations (40.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 6 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (expm1.f64 x) x) |
| Outputs |
|---|
(/.f64 (expm1.f64 x) x) |
| 1× | done |
Compiled 10 to 6 computations (40% saved)
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