Time bar (total: 5.1s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 0% | 50% | 50% | 3 |
| 25% | 25% | 50% | 4 |
| 37.5% | 12.5% | 50% | 5 |
| 43.7% | 6.2% | 50% | 6 |
| 46.9% | 3.1% | 50% | 7 |
| 48.4% | 1.6% | 50% | 8 |
| 49.2% | 0.8% | 50% | 9 |
| 49.6% | 0.4% | 50% | 10 |
| 49.8% | 0.2% | 50% | 11 |
| 49.9% | 0.1% | 50% | 12 |
Compiled 14 to 12 computations (14.3% saved)
| 2.3s | 4130× | body | 1024 | valid |
| 770.0ms | 2070× | body | 512 | valid |
| 300.0ms | 417× | body | 2048 | valid |
| 230.0ms | 1639× | body | 256 | valid |
| 0.0ms | 5× | body | 256 | invalid |
| 2× | egg-herbie |
| 781× | fma-neg_binary64 |
| 591× | unsub-neg_binary64 |
| 574× | distribute-rgt-in_binary64 |
| 573× | distribute-neg-in_binary64 |
| 515× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 15 |
| 1 | 20 | 13 |
| 2 | 28 | 13 |
| 3 | 43 | 13 |
| 4 | 73 | 13 |
| 5 | 109 | 13 |
| 6 | 153 | 13 |
| 7 | 272 | 13 |
| 8 | 588 | 13 |
| 9 | 1041 | 13 |
| 10 | 1479 | 13 |
| 11 | 1876 | 13 |
| 12 | 2080 | 13 |
| 13 | 2221 | 13 |
| 14 | 2514 | 13 |
| 15 | 3397 | 13 |
| 16 | 4571 | 13 |
| 17 | 5329 | 13 |
| 18 | 5603 | 13 |
| 19 | 5699 | 13 |
| 20 | 5819 | 13 |
| 21 | 5857 | 13 |
| 22 | 6281 | 13 |
| 23 | 6723 | 13 |
| 24 | 7040 | 13 |
| 25 | 7148 | 13 |
| 26 | 7196 | 13 |
| 27 | 7216 | 13 |
| 28 | 7224 | 13 |
| 29 | 7224 | 13 |
| 30 | 7224 | 13 |
| 31 | 7590 | 13 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
| Outputs |
|---|
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
Compiled 14 to 12 computations (14.3% saved)
| 1× | egg-herbie |
| 781× | fma-neg_binary64 |
| 591× | unsub-neg_binary64 |
| 574× | distribute-rgt-in_binary64 |
| 573× | distribute-neg-in_binary64 |
| 515× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 15 |
| 1 | 20 | 13 |
| 2 | 28 | 13 |
| 3 | 43 | 13 |
| 4 | 73 | 13 |
| 5 | 109 | 13 |
| 6 | 153 | 13 |
| 7 | 272 | 13 |
| 8 | 588 | 13 |
| 9 | 1041 | 13 |
| 10 | 1479 | 13 |
| 11 | 1876 | 13 |
| 12 | 2080 | 13 |
| 13 | 2221 | 13 |
| 14 | 2514 | 13 |
| 15 | 3397 | 13 |
| 16 | 4571 | 13 |
| 17 | 5329 | 13 |
| 18 | 5603 | 13 |
| 19 | 5699 | 13 |
| 20 | 5819 | 13 |
| 21 | 5857 | 13 |
| 22 | 6281 | 13 |
| 23 | 6723 | 13 |
| 24 | 7040 | 13 |
| 25 | 7148 | 13 |
| 26 | 7196 | 13 |
| 27 | 7216 | 13 |
| 28 | 7224 | 13 |
| 29 | 7224 | 13 |
| 30 | 7224 | 13 |
| 31 | 7590 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
| Outputs |
|---|
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
Compiled 21 to 17 computations (19% saved)
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 |
|---|---|---|
| ▶ | 58.5b | (*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
| ▶ | 0b | (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
Compiled 22 to 18 computations (18.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 5.0b | (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) | |
| 0.0b | (/.f64 (+.f64 1 x) (-.f64 1 x)) | |
| ✓ | 0.0b | (/.f64 (+.f64 1 x) (-.f64 1 x)) |
| ✓ | 5.0b | (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
| 1.0ms | x | @ | inf | (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
| 1.0ms | x | @ | -inf | (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 1 x) (-.f64 1 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 1 x) (-.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 843× | pow1_binary64 |
| 786× | log1p-expm1-u_binary64 |
| 786× | expm1-log1p-u_binary64 |
| 785× | add-log-exp_binary64 |
| 771× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 22 |
| 1 | 151 | 20 |
| 2 | 2078 | 20 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (+.f64 1 x) (-.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (neg.f64 x) -1)) (log.f64 (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 x) -1) (/.f64 1 (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))))) |
| 1× | egg-herbie |
| 829× | fma-def_binary64 |
| 822× | fma-neg_binary64 |
| 560× | associate-/r*_binary64 |
| 559× | times-frac_binary64 |
| 537× | cancel-sign-sub-inv_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 319 |
| 1 | 154 | 307 |
| 2 | 437 | 301 |
| 3 | 1297 | 298 |
| 4 | 3668 | 294 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 x) |
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))) |
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))) |
(log.f64 -1) |
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))) |
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5)))))) |
(log.f64 -1) |
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))) |
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5)))))) |
1 |
(+.f64 (*.f64 2 x) 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)) |
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
| Outputs |
|---|
(*.f64 2 x) |
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) |
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) |
(*.f64 x (fma.f64 x (*.f64 x 2/3) 2)) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))) |
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))) |
(fma.f64 x (fma.f64 x (*.f64 x 2/3) 2) (*.f64 2/5 (pow.f64 x 5))) |
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))) |
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))) |
(fma.f64 2 x (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))) |
(fma.f64 x (fma.f64 x (*.f64 x 2/3) 2) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/7 (pow.f64 x 7)))) |
(log.f64 -1) |
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))) |
(+.f64 (log.f64 -1) (/.f64 2 x)) |
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))) |
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3))) |
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3)))) |
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5)))))) |
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))))) |
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3)))) |
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 x 5))))) |
(log.f64 -1) |
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))) |
(+.f64 (log.f64 -1) (/.f64 2 x)) |
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))) |
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3))) |
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3)))) |
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5)))))) |
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))))) |
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3)))) |
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 x 5))))) |
1 |
(+.f64 (*.f64 2 x) 1) |
(fma.f64 2 x 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1)) |
(fma.f64 2 (fma.f64 x x x) 1) |
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))) |
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 1))) |
(fma.f64 2 (*.f64 x (fma.f64 x x x)) (fma.f64 2 x 1)) |
(fma.f64 2 (fma.f64 x (fma.f64 x x x) x) 1) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 -1 (neg.f64 (/.f64 2 x))) |
(-.f64 -1 (/.f64 2 x)) |
(+.f64 -1 (/.f64 -2 x)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))) |
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 (*.f64 x x)) 1)) |
(+.f64 -1 (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x x)))) |
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))) |
(-.f64 -1 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x)))) |
(-.f64 (/.f64 -2 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 2 (/.f64 2 x)) 1)) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 -1 (neg.f64 (/.f64 2 x))) |
(-.f64 -1 (/.f64 2 x)) |
(+.f64 -1 (/.f64 -2 x)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))) |
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 (*.f64 x x)) 1)) |
(+.f64 -1 (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x x)))) |
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))) |
(-.f64 -1 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x)))) |
(-.f64 (/.f64 -2 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 2 (/.f64 2 x)) 1)) |
Compiled 1489 to 1102 computations (26% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 87 | 3 | 90 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 87 | 5 | 92 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0b | (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
| ▶ | 0.8b | (*.f64 (/.f64 1 2) (*.f64 2 x)) |
| ✓ | 58.5b | (*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
| ▶ | 0.4b | (*.f64 (/.f64 1 2) (*.f64 x (fma.f64 x (*.f64 x 2/3) 2))) |
| ▶ | 0.4b | (*.f64 (/.f64 1 2) (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))) |
Compiled 57 to 47 computations (17.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 2/3 (pow.f64 x 3)) | |
| ✓ | 0.1b | (*.f64 2/3 (pow.f64 x 3)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 2/3 (pow.f64 x 3)) |
| 1.0ms | x | @ | inf | (*.f64 2/3 (pow.f64 x 3)) |
| 1.0ms | x | @ | -inf | (*.f64 2/3 (pow.f64 x 3)) |
| 1× | batch-egg-rewrite |
| 505× | pow1_binary64 |
| 498× | add-sqr-sqrt_binary64 |
| 476× | add-log-exp_binary64 |
| 476× | log1p-expm1-u_binary64 |
| 476× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 129 | 7 |
| 2 | 1323 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2/3 (pow.f64 x 3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 x 2/3) | |
| 0.0b | (*.f64 x (fma.f64 x (*.f64 x 2/3) 2)) | |
| ✓ | 0.0b | (*.f64 x (fma.f64 x (*.f64 x 2/3) 2)) |
| ✓ | 0.3b | (*.f64 x 2/3) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 x (fma.f64 x (*.f64 x 2/3) 2)) |
| 1.0ms | x | @ | inf | (*.f64 x (fma.f64 x (*.f64 x 2/3) 2)) |
| 1.0ms | x | @ | 0 | (*.f64 x (fma.f64 x (*.f64 x 2/3) 2)) |
| 0.0ms | x | @ | 0 | (*.f64 x 2/3) |
| 0.0ms | x | @ | -inf | (*.f64 x 2/3) |
| 1× | batch-egg-rewrite |
| 641× | pow1_binary64 |
| 594× | add-log-exp_binary64 |
| 594× | log1p-expm1-u_binary64 |
| 594× | expm1-log1p-u_binary64 |
| 583× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 142 | 15 |
| 2 | 1590 | 15 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x 2/3) |
(*.f64 x (fma.f64 x (*.f64 x 2/3) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 2/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 2/3))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 2/3)) x) (*.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (*.f64 x 2/3))) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x (*.f64 x 2/3) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x (*.f64 x 2/3) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 2/3) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 2/3) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x 2/3) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 2/3) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 x 2/3) 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 2/3) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x 2/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x 2/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x 2/3) 2)))))))) |
| 1× | egg-herbie |
| 1331× | sqr-pow_binary64 |
| 715× | pow-sqr_binary64 |
| 530× | cube-prod_binary64 |
| 472× | fabs-mul_binary64 |
| 445× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 165 |
| 1 | 22 | 165 |
| 2 | 40 | 165 |
| 3 | 80 | 165 |
| 4 | 147 | 165 |
| 5 | 367 | 165 |
| 6 | 1214 | 165 |
| 7 | 1925 | 165 |
| 8 | 2012 | 165 |
| 9 | 2145 | 165 |
| 10 | 2303 | 165 |
| 11 | 2537 | 165 |
| 12 | 2859 | 165 |
| 13 | 3280 | 165 |
| 14 | 3780 | 165 |
| 15 | 4375 | 165 |
| 16 | 5095 | 165 |
| 17 | 5418 | 165 |
| 18 | 5702 | 165 |
| 19 | 5922 | 165 |
| 20 | 6104 | 165 |
| 21 | 6186 | 165 |
| 22 | 7126 | 165 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2 x) |
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) |
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) |
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) |
(*.f64 2/3 (pow.f64 x 3)) |
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) |
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) |
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) |
(*.f64 2/3 (pow.f64 x 3)) |
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) |
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) |
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) |
| Outputs |
|---|
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2 x) |
(*.f64 x 2) |
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) |
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) |
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) |
(*.f64 x (fma.f64 2/3 (*.f64 x x) 2)) |
(*.f64 x (fma.f64 x (*.f64 2/3 x) 2)) |
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) |
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) |
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) |
(*.f64 x (fma.f64 2/3 (*.f64 x x) 2)) |
(*.f64 x (fma.f64 x (*.f64 2/3 x) 2)) |
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) |
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) |
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) |
(*.f64 x (fma.f64 2/3 (*.f64 x x) 2)) |
(*.f64 x (fma.f64 x (*.f64 2/3 x) 2)) |
(*.f64 2/3 (pow.f64 x 3)) |
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) |
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) |
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) |
(*.f64 x (fma.f64 2/3 (*.f64 x x) 2)) |
(*.f64 x (fma.f64 x (*.f64 2/3 x) 2)) |
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) |
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) |
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) |
(*.f64 x (fma.f64 2/3 (*.f64 x x) 2)) |
(*.f64 x (fma.f64 x (*.f64 2/3 x) 2)) |
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) |
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) |
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) |
(*.f64 x (fma.f64 2/3 (*.f64 x x) 2)) |
(*.f64 x (fma.f64 x (*.f64 2/3 x) 2)) |
(*.f64 2/3 (pow.f64 x 3)) |
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) |
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) |
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) |
(*.f64 x (fma.f64 2/3 (*.f64 x x) 2)) |
(*.f64 x (fma.f64 x (*.f64 2/3 x) 2)) |
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) |
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) |
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) |
(*.f64 x (fma.f64 2/3 (*.f64 x x) 2)) |
(*.f64 x (fma.f64 x (*.f64 2/3 x) 2)) |
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) |
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) |
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) |
(*.f64 x (fma.f64 2/3 (*.f64 x x) 2)) |
(*.f64 x (fma.f64 x (*.f64 2/3 x) 2)) |
Compiled 584 to 476 computations (18.5% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 40 | 1 | 41 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 3 | 4 |
| Total | 41 | 5 | 46 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0b | (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
| ✓ | 0.8b | (*.f64 (/.f64 1 2) (*.f64 2 x)) |
| ✓ | 58.5b | (*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
| ✓ | 0.4b | (*.f64 (/.f64 1 2) (*.f64 x (fma.f64 x (*.f64 x 2/3) 2))) |
| ▶ | 0.4b | (*.f64 (/.f64 1 2) (+.f64 (*.f64 (*.f64 x (*.f64 x 2/3)) x) (*.f64 2 x))) |
Compiled 59 to 47 computations (20.3% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 x 2/3) | |
| 0.1b | (*.f64 x (*.f64 x 2/3)) | |
| 0.1b | (*.f64 (*.f64 x (*.f64 x 2/3)) x) | |
| ✓ | 0.1b | (*.f64 (*.f64 x (*.f64 x 2/3)) x) |
| ✓ | 0.1b | (*.f64 x (*.f64 x 2/3)) |
| 0.3b | (*.f64 x 2/3) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 x (*.f64 x 2/3)) |
| 1.0ms | x | @ | inf | (*.f64 x (*.f64 x 2/3)) |
| 0.0ms | x | @ | -inf | (*.f64 x (*.f64 x 2/3)) |
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x (*.f64 x 2/3)) x) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x (*.f64 x 2/3)) x) |
| 1× | batch-egg-rewrite |
| 548× | pow1_binary64 |
| 527× | add-sqr-sqrt_binary64 |
| 506× | add-log-exp_binary64 |
| 506× | log1p-expm1-u_binary64 |
| 506× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 1 | 122 | 14 |
| 2 | 1401 | 14 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (*.f64 x 2/3)) |
(*.f64 (*.f64 x (*.f64 x 2/3)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 2/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 2/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 2/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 2/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 2/3)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) 2/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 2/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 x 3) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 2/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 2/3))))))) |
| 1× | egg-herbie |
| 1272× | sqr-pow_binary64 |
| 566× | pow-sqr_binary64 |
| 563× | cube-prod_binary64 |
| 536× | unswap-sqr_binary64 |
| 535× | fabs-mul_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 168 |
| 1 | 23 | 168 |
| 2 | 48 | 168 |
| 3 | 105 | 168 |
| 4 | 274 | 168 |
| 5 | 1141 | 168 |
| 6 | 2295 | 168 |
| 7 | 2461 | 168 |
| 8 | 2711 | 168 |
| 9 | 2998 | 168 |
| 10 | 3377 | 168 |
| 11 | 3871 | 168 |
| 12 | 4476 | 168 |
| 13 | 5182 | 168 |
| 14 | 5653 | 168 |
| 15 | 5976 | 168 |
| 16 | 6248 | 168 |
| 17 | 6418 | 168 |
| 18 | 6508 | 168 |
| 19 | 7185 | 168 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
| Outputs |
|---|
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
Compiled 620 to 496 computations (20% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 36 | 1 | 37 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 36 | 6 | 42 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0b | (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
| ✓ | 0.8b | (*.f64 (/.f64 1 2) (*.f64 2 x)) |
| ▶ | 0.4b | (*.f64 (/.f64 1 2) (+.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 x (*.f64 x 2/3))) 1) x) (*.f64 2 x))) |
| ✓ | 58.5b | (*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
| ✓ | 0.4b | (*.f64 (/.f64 1 2) (*.f64 x (fma.f64 x (*.f64 x 2/3) 2))) |
| ✓ | 0.4b | (*.f64 (/.f64 1 2) (+.f64 (*.f64 (*.f64 x (*.f64 x 2/3)) x) (*.f64 2 x))) |
Compiled 79 to 63 computations (20.3% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 2.4b | (-.f64 (+.f64 1 (*.f64 x (*.f64 x 2/3))) 1) | |
| 0.3b | (*.f64 x 2/3) | |
| 0.1b | (*.f64 x (*.f64 x 2/3)) | |
| 0.0b | (*.f64 (-.f64 (+.f64 1 (*.f64 x (*.f64 x 2/3))) 1) x) | |
| ✓ | 0.0b | (*.f64 (-.f64 (+.f64 1 (*.f64 x (*.f64 x 2/3))) 1) x) |
| 0.1b | (*.f64 x (*.f64 x 2/3)) | |
| 0.3b | (*.f64 x 2/3) | |
| ✓ | 2.4b | (-.f64 (+.f64 1 (*.f64 x (*.f64 x 2/3))) 1) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (+.f64 1 (*.f64 x (*.f64 x 2/3))) 1) |
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 (*.f64 x (*.f64 x 2/3))) 1) |
| 0.0ms | x | @ | inf | (*.f64 (-.f64 (+.f64 1 (*.f64 x (*.f64 x 2/3))) 1) x) |
| 0.0ms | x | @ | -inf | (*.f64 (-.f64 (+.f64 1 (*.f64 x (*.f64 x 2/3))) 1) x) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (*.f64 x (*.f64 x 2/3))) 1) |
| 1× | batch-egg-rewrite |
| 942× | pow1_binary64 |
| 882× | add-log-exp_binary64 |
| 882× | log1p-expm1-u_binary64 |
| 882× | expm1-log1p-u_binary64 |
| 99× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 1 | 197 | 17 |
| 2 | 2581 | 17 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 x (*.f64 x 2/3))) 1) |
(*.f64 (-.f64 (+.f64 1 (*.f64 x (*.f64 x 2/3))) 1) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (*.f64 x x) 2/3 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 (*.f64 x x) 2/3 -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/3 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x 2/3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 x (*.f64 x 2/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 x x) 2/3 -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2/3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 2/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4/9)) (*.f64 (cbrt.f64 (*.f64 x 2/3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) (pow.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) 2) (cbrt.f64 (*.f64 2/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 2/3)) (*.f64 (sqrt.f64 (*.f64 x 2/3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 2/3)) (*.f64 x (sqrt.f64 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 2/3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 2/3) 1) 2) (+.f64 (*.f64 2/3 (*.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 2/3) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 2/3 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 2/3))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 2/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (*.f64 (*.f64 x x) 4/9))) (cbrt.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (*.f64 x 2/3))) (sqrt.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 2/3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 2/3) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 2/3) 1) 2) (+.f64 (*.f64 2/3 (*.f64 x x)) 2)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x 2/3) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 2/3 (*.f64 x x)) 2) (+.f64 (pow.f64 (fma.f64 x (*.f64 x 2/3) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 2/3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x 2/3) 1) 2) (+.f64 (*.f64 2/3 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 2/3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x 2/3) 1) 2) (-.f64 1 (*.f64 (fma.f64 x (*.f64 x 2/3) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 2/3) 1) 2) -1) (+.f64 (*.f64 2/3 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 2/3) 1) 2) -1) (-.f64 (fma.f64 x (*.f64 x 2/3) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 2/3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 2/3) 1) 2) (+.f64 (*.f64 2/3 (*.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 2/3) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 2/3 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 x x) 2/3 -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 (*.f64 x x) 2/3 -1) (fma.f64 (*.f64 x x) 2/3 -1)) (fma.f64 (*.f64 x x) 2/3 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 (*.f64 x x) 2/3 -1) (fma.f64 (*.f64 x x) 2/3 -1))) (-.f64 1 (fma.f64 (*.f64 x x) 2/3 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 8/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2/3 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 8/27))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (*.f64 x 2/3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 2/3) 1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 2/3) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 2/3))) (hypot.f64 1 (*.f64 x (sqrt.f64 2/3))) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (fma.f64 (*.f64 x x) 2/3 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (fma.f64 (*.f64 x x) 2/3 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 x (*.f64 x 2/3) 1) x) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x (*.f64 x 2/3) 1)) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 2/3 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 2/3) 1) 3) -1) x) (+.f64 (pow.f64 (fma.f64 x (*.f64 x 2/3) 1) 2) (+.f64 (*.f64 2/3 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 2/3) 1) 2) -1) x) (+.f64 (*.f64 2/3 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (fma.f64 x (*.f64 x 2/3) 1) 3) -1)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x 2/3) 1) 2) (+.f64 (*.f64 2/3 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (fma.f64 x (*.f64 x 2/3) 1) 2) -1)) (+.f64 (*.f64 2/3 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 2/3 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 2/3 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 2/3 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 2/3 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 2/3 (*.f64 x x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 2/3 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 2/3 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 (*.f64 x x) 3) 8/27)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 8/27) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 2/3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 2/3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 2/3 (*.f64 x x))))))))) |
| 1× | egg-herbie |
| 1272× | sqr-pow_binary64 |
| 566× | pow-sqr_binary64 |
| 563× | cube-prod_binary64 |
| 536× | unswap-sqr_binary64 |
| 535× | fabs-mul_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 168 |
| 1 | 23 | 168 |
| 2 | 48 | 168 |
| 3 | 105 | 168 |
| 4 | 274 | 168 |
| 5 | 1141 | 168 |
| 6 | 2295 | 168 |
| 7 | 2461 | 168 |
| 8 | 2711 | 168 |
| 9 | 2998 | 168 |
| 10 | 3377 | 168 |
| 11 | 3871 | 168 |
| 12 | 4476 | 168 |
| 13 | 5182 | 168 |
| 14 | 5653 | 168 |
| 15 | 5976 | 168 |
| 16 | 6248 | 168 |
| 17 | 6418 | 168 |
| 18 | 6508 | 168 |
| 19 | 7185 | 168 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
| Outputs |
|---|
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(*.f64 2/3 (pow.f64 x 2)) |
(*.f64 2/3 (*.f64 x x)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
Compiled 2170 to 1642 computations (24.3% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 99 | 0 | 99 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 99 | 6 | 105 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0b | (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
| ✓ | 0.8b | (*.f64 (/.f64 1 2) (*.f64 2 x)) |
| ✓ | 0.4b | (*.f64 (/.f64 1 2) (+.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 x (*.f64 x 2/3))) 1) x) (*.f64 2 x))) |
| ✓ | 58.5b | (*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
| ✓ | 0.4b | (*.f64 (/.f64 1 2) (*.f64 x (fma.f64 x (*.f64 x 2/3) 2))) |
| ✓ | 0.4b | (*.f64 (/.f64 1 2) (+.f64 (*.f64 (*.f64 x (*.f64 x 2/3)) x) (*.f64 2 x))) |
Compiled 79 to 63 computations (20.3% saved)
| Inputs |
|---|
(*.f64 (/.f64 1 2) (*.f64 2 x)) |
(*.f64 (/.f64 1 2) (+.f64 (*.f64 (*.f64 x (*.f64 x 2/3)) x) (*.f64 2 x))) |
(*.f64 (/.f64 1 2) (+.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 x (*.f64 x 2/3))) 1) x) (*.f64 2 x))) |
(*.f64 (/.f64 1 2) (*.f64 x (fma.f64 x (*.f64 x 2/3) 2))) |
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(*.f64 (/.f64 1 2) (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))) |
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
| Outputs |
|---|
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
4 calls:
| 5.0ms | x |
| 4.0ms | (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
| 2.0ms | (*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
| 2.0ms | (/.f64 (+.f64 1 x) (-.f64 1 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0b | 1 | x |
| 0b | 1 | (*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
| 0b | 1 | (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
| 0b | 1 | (/.f64 (+.f64 1 x) (-.f64 1 x)) |
Compiled 119 to 94 computations (21% saved)
| Inputs |
|---|
(*.f64 (/.f64 1 2) (*.f64 2 x)) |
(*.f64 (/.f64 1 2) (+.f64 (*.f64 (*.f64 x (*.f64 x 2/3)) x) (*.f64 2 x))) |
(*.f64 (/.f64 1 2) (+.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 x (*.f64 x 2/3))) 1) x) (*.f64 2 x))) |
(*.f64 (/.f64 1 2) (*.f64 x (fma.f64 x (*.f64 x 2/3) 2))) |
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(*.f64 (/.f64 1 2) (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))) |
| Outputs |
|---|
(*.f64 (/.f64 1 2) (+.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 x (*.f64 x 2/3))) 1) x) (*.f64 2 x))) |
4 calls:
| 28.0ms | (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
| 5.0ms | x |
| 2.0ms | (*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
| 2.0ms | (/.f64 (+.f64 1 x) (-.f64 1 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 1 | x |
| 0.4b | 1 | (*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
| 0.4b | 1 | (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
| 0.4b | 1 | (/.f64 (+.f64 1 x) (-.f64 1 x)) |
Compiled 111 to 88 computations (20.7% saved)
Total -0.4b remaining (-85.3%)
Threshold costs -0.4b (-85.3%)
| Inputs |
|---|
(*.f64 (/.f64 1 2) (*.f64 2 x)) |
(*.f64 (/.f64 1 2) (+.f64 (*.f64 (*.f64 x (*.f64 x 2/3)) x) (*.f64 2 x))) |
| Outputs |
|---|
(*.f64 (/.f64 1 2) (+.f64 (*.f64 (*.f64 x (*.f64 x 2/3)) x) (*.f64 2 x))) |
1 calls:
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 1 | x |
Compiled 25 to 19 computations (24% saved)
| 1× | egg-herbie |
| 11× | *-commutative_binary64 |
| 7× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 64 |
| 1 | 45 | 64 |
| 2 | 51 | 64 |
| 3 | 54 | 64 |
| 4 | 55 | 64 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
(*.f64 (/.f64 1 2) (+.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 x (*.f64 x 2/3))) 1) x) (*.f64 2 x))) |
(*.f64 (/.f64 1 2) (+.f64 (*.f64 (*.f64 x (*.f64 x 2/3)) x) (*.f64 2 x))) |
(*.f64 (/.f64 1 2) (*.f64 2 x)) |
| Outputs |
|---|
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
(*.f64 (/.f64 1 2) (+.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 x (*.f64 x 2/3))) 1) x) (*.f64 2 x))) |
(*.f64 1/2 (+.f64 (*.f64 x (+.f64 (+.f64 1 (*.f64 x (*.f64 x 2/3))) -1)) (*.f64 x 2))) |
(*.f64 (/.f64 1 2) (+.f64 (*.f64 (*.f64 x (*.f64 x 2/3)) x) (*.f64 2 x))) |
(*.f64 1/2 (+.f64 (*.f64 x 2) (*.f64 x (*.f64 x (*.f64 x 2/3))))) |
(*.f64 (/.f64 1 2) (*.f64 2 x)) |
(*.f64 1/2 (*.f64 x 2)) |
| 1× | done |
Compiled 91 to 69 computations (24.2% saved)
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