Time bar (total: 7.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 4 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 5 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 6 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 7 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 8 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 9 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 10 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 11 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 12 |
Compiled 15 to 11 computations (26.7% saved)
| 601.0ms | 4867× | body | 256 | valid |
| 597.0ms | 2116× | body | 1024 | valid |
| 203.0ms | 1066× | body | 512 | valid |
| 67.0ms | 207× | body | 2048 | valid |
| 2× | egg-herbie |
| 859× | fma-neg_binary64 |
| 771× | fma-def_binary64 |
| 321× | div-sub_binary64 |
| 182× | associate-/l*_binary64 |
| 155× | cancel-sign-sub-inv_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 16 | 19 |
| 2 | 22 | 19 |
| 3 | 34 | 19 |
| 4 | 60 | 19 |
| 5 | 100 | 19 |
| 6 | 207 | 19 |
| 7 | 381 | 19 |
| 8 | 972 | 19 |
| 9 | 2302 | 19 |
| 10 | 2935 | 19 |
| 11 | 3252 | 19 |
| 12 | 4067 | 19 |
| 13 | 4363 | 19 |
| 14 | 4405 | 19 |
| 15 | 4407 | 19 |
| 16 | 4409 | 19 |
| 17 | 4419 | 19 |
| 18 | 4419 | 19 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| Outputs |
|---|
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 859× | fma-neg_binary64 |
| 771× | fma-def_binary64 |
| 321× | div-sub_binary64 |
| 182× | associate-/l*_binary64 |
| 155× | cancel-sign-sub-inv_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 16 | 19 |
| 2 | 22 | 19 |
| 3 | 34 | 19 |
| 4 | 60 | 19 |
| 5 | 100 | 19 |
| 6 | 207 | 19 |
| 7 | 381 | 19 |
| 8 | 972 | 19 |
| 9 | 2302 | 19 |
| 10 | 2935 | 19 |
| 11 | 3252 | 19 |
| 12 | 4067 | 19 |
| 13 | 4363 | 19 |
| 14 | 4405 | 19 |
| 15 | 4407 | 19 |
| 16 | 4409 | 19 |
| 17 | 4419 | 19 |
| 18 | 4419 | 19 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| Outputs |
|---|
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
Compiled 27 to 19 computations (29.6% saved)
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 |
|---|---|---|
| ▶ | 28.6b | (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
Compiled 14 to 10 computations (28.6% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 3.0b | (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))) | |
| 0.0b | (/.f64 x (+.f64 x 1)) | |
| 0.0b | (/.f64 (-.f64 -1 x) (+.f64 x -1)) | |
| ✓ | 0.0b | (/.f64 (-.f64 -1 x) (+.f64 x -1)) |
| ✓ | 0.0b | (/.f64 x (+.f64 x 1)) |
| ✓ | 3.0b | (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
Compiled 38 to 26 computations (31.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
| 1.0ms | x | @ | inf | (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
| 1.0ms | x | @ | -inf | (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 -1 x) (+.f64 x -1)) |
| 0.0ms | x | @ | inf | (/.f64 x (+.f64 x 1)) |
| 1× | batch-egg-rewrite |
| 646× | fma-def_binary64 |
| 600× | log-prod_binary64 |
| 362× | fma-neg_binary64 |
| 328× | log-div_binary64 |
| 208× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 1 | 244 | 36 |
| 2 | 4154 | 36 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
(/.f64 x (+.f64 x 1)) |
(/.f64 (-.f64 -1 x) (+.f64 x -1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 x)) (-.f64 (/.f64 x (+.f64 x -1)) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1)))) (/.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) 2) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (-.f64 1 x))) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) 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(cbrt.f64 (-.f64 -1 x)) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (neg.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 x) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 -1 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (-.f64 1 x)) (neg.f64 (/.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (+.f64 x -1)) (neg.f64 (/.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) (cbrt.f64 (/.f64 1 (-.f64 1 x)))) (cbrt.f64 (/.f64 1 (-.f64 1 x))) (neg.f64 (/.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 (-.f64 1 x))) (sqrt.f64 (/.f64 1 (-.f64 1 x))) (neg.f64 (/.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (neg.f64 (-.f64 -1 x))) (neg.f64 (/.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 x 1) (neg.f64 (/.f64 x (+.f64 x -1)))))))) |
| 1× | egg-herbie |
| 544× | sub-neg_binary64 |
| 416× | fma-neg_binary64 |
| 327× | fma-def_binary64 |
| 299× | distribute-rgt-neg-in_binary64 |
| 298× | distribute-neg-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 476 |
| 1 | 208 | 444 |
| 2 | 636 | 433 |
| 3 | 2023 | 430 |
| 4 | 5843 | 430 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
x |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
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 |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (fma.f64 3 x 1) (*.f64 x x)) |
(fma.f64 3 x (fma.f64 x x 1)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))) |
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) |
x |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(fma.f64 -1 (*.f64 x x) x) |
(-.f64 x (*.f64 x x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) |
(fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3))) |
(+.f64 (pow.f64 x 3) (-.f64 x (*.f64 x x))) |
(*.f64 x (-.f64 (fma.f64 x x 1) x)) |
(fma.f64 (*.f64 x x) (+.f64 x -1) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x))) |
(fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) (+.f64 x (pow.f64 x 3)))) |
(-.f64 (-.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)) (*.f64 x x)) |
(-.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4))) |
(*.f64 (fma.f64 x x 1) (-.f64 x (*.f64 x x))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x))) |
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 1 (/.f64 -1 x))) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x))) |
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 1 (/.f64 -1 x))) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
1 |
(+.f64 (*.f64 2 x) 1) |
(fma.f64 2 x 1) |
(fma.f64 x 2 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 (*.f64 x x) (fma.f64 x 2 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 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 x 2 1))) |
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (fma.f64 x x x) 1)) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.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 -1 (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 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))))))) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))) |
(-.f64 -1 (+.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 (-.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))) (+.f64 1 (/.f64 2 x))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.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 -1 (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 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))))))) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))) |
(-.f64 -1 (+.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 (-.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))) (+.f64 1 (/.f64 2 x))) |
Compiled 4472 to 3259 computations (27.1% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 212 | 12 | 224 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 212 | 13 | 225 |
| Status | Error | Program |
|---|---|---|
| ✓ | 28.6b | (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
| 29.0b | (fma.f64 (/.f64 1 (+.f64 x -1)) (-.f64 -1 x) (/.f64 x (+.f64 x 1))) | |
| 32.7b | (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) | |
| 31.0b | 1 | |
| 28.6b | (+.f64 (/.f64 x (+.f64 x 1)) (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (+.f64 x -1)))) | |
| ▶ | 32.3b | (/.f64 -3 x) |
| 31.3b | (+.f64 (*.f64 3 x) 1) | |
| ▶ | 28.6b | (+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (-.f64 -1 x) (/.f64 1 (+.f64 x -1)))) |
| ▶ | 32.9b | (neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
| 29.3b | (/.f64 (fma.f64 (neg.f64 (-.f64 -1 x)) (+.f64 x 1) (*.f64 (-.f64 1 x) x)) (*.f64 (-.f64 1 x) (+.f64 x 1))) | |
| ▶ | 31.3b | (+.f64 x (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
| 29.3b | (/.f64 (/.f64 (fma.f64 (+.f64 x 1) (-.f64 -1 x) (-.f64 (*.f64 x x) x)) (+.f64 x 1)) (+.f64 x -1)) | |
| ▶ | 25.0b | (-.f64 (/.f64 1 (-.f64 1 x)) (-.f64 (/.f64 x (+.f64 x -1)) (/.f64 x (+.f64 x 1)))) |
Compiled 322 to 236 computations (26.7% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 (/.f64 1 (-.f64 1 x)) (-.f64 (/.f64 x (+.f64 x -1)) (/.f64 x (+.f64 x 1)))) | |
| 0.0b | (/.f64 x (+.f64 x 1)) | |
| 0.0b | (/.f64 1 (-.f64 1 x)) | |
| 0.0b | (/.f64 x (+.f64 x -1)) | |
| ✓ | 0.0b | (/.f64 1 (-.f64 1 x)) |
| 0.0b | (/.f64 x (+.f64 x 1)) | |
| ✓ | 0.0b | (-.f64 (/.f64 1 (-.f64 1 x)) (-.f64 (/.f64 x (+.f64 x -1)) (/.f64 x (+.f64 x 1)))) |
| ✓ | 3.0b | (-.f64 (/.f64 x (+.f64 x -1)) (/.f64 x (+.f64 x 1))) |
Compiled 56 to 38 computations (32.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (/.f64 x (+.f64 x -1)) (/.f64 x (+.f64 x 1))) |
| 1.0ms | x | @ | 0 | (-.f64 (/.f64 x (+.f64 x -1)) (/.f64 x (+.f64 x 1))) |
| 1.0ms | x | @ | -inf | (-.f64 (/.f64 x (+.f64 x -1)) (/.f64 x (+.f64 x 1))) |
| 1.0ms | x | @ | inf | (-.f64 (/.f64 1 (-.f64 1 x)) (-.f64 (/.f64 x (+.f64 x -1)) (/.f64 x (+.f64 x 1)))) |
| 1.0ms | x | @ | -inf | (-.f64 (/.f64 1 (-.f64 1 x)) (-.f64 (/.f64 x (+.f64 x -1)) (/.f64 x (+.f64 x 1)))) |
| 1× | batch-egg-rewrite |
| 867× | fma-def_binary64 |
| 517× | fma-neg_binary64 |
| 259× | expm1-udef_binary64 |
| 258× | log1p-udef_binary64 |
| 208× | log-pow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 48 |
| 1 | 298 | 48 |
| 2 | 5121 | 48 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 x -1)) (/.f64 x (+.f64 x 1))) |
(-.f64 (/.f64 1 (-.f64 1 x)) (-.f64 (/.f64 x (+.f64 x -1)) (/.f64 x (+.f64 x 1)))) |
(/.f64 1 (-.f64 1 x)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 x) -1/2) (pow.f64 (-.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 1 x)) -1) (pow.f64 (sqrt.f64 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1)))))) |
| 1× | egg-herbie |
| 833× | times-frac_binary64 |
| 581× | associate-/l/_binary64 |
| 362× | sub-neg_binary64 |
| 339× | fma-def_binary64 |
| 225× | associate-+l+_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 565 |
| 1 | 224 | 531 |
| 2 | 662 | 527 |
| 3 | 1973 | 526 |
| 4 | 4599 | 523 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2 x) |
(+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) |
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) |
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 7))))) |
(/.f64 2 x) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(/.f64 2 x) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
1 |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
1 |
(+.f64 1 x) |
(+.f64 1 (+.f64 (pow.f64 x 2) x)) |
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))) |
| Outputs |
|---|
(*.f64 -2 x) |
(+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) |
(*.f64 -2 (+.f64 x (pow.f64 x 3))) |
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) |
(fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) |
(*.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5)))) |
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 7))))) |
(fma.f64 -2 x (fma.f64 -2 (pow.f64 x 5) (*.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 7))))) |
(fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 3) (pow.f64 x 7))))) |
(*.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 7) (pow.f64 x 5))))) |
(*.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (pow.f64 x 7))))) |
(/.f64 2 x) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x)) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 5)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x)) (/.f64 2 (pow.f64 x 7)))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 7))))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 5))))) |
(/.f64 2 x) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x)) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 5)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x)) (/.f64 2 (pow.f64 x 7)))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 7))))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 5))))) |
1 |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(fma.f64 x 3 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (fma.f64 3 x 1) (*.f64 x x)) |
(fma.f64 x 3 (fma.f64 x x 1)) |
(fma.f64 x x (fma.f64 x 3 1)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x)))) |
(fma.f64 x 3 (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))) |
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) |
(*.f64 (fma.f64 x 3 1) (fma.f64 x x 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -3 x) (/.f64 3 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))) |
(-.f64 (/.f64 -3 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 -1 (pow.f64 x 4)))) |
(-.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (pow.f64 x 4))) (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 3 x) -1))) |
(-.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (pow.f64 x 4))) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) 1))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -3 x) (/.f64 3 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))) |
(-.f64 (/.f64 -3 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 -1 (pow.f64 x 4)))) |
(-.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (pow.f64 x 4))) (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 3 x) -1))) |
(-.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (pow.f64 x 4))) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) 1))) |
1 |
(+.f64 1 x) |
(+.f64 x 1) |
(+.f64 1 (+.f64 (pow.f64 x 2) x)) |
(+.f64 1 (+.f64 x (*.f64 x x))) |
(+.f64 x (fma.f64 x x 1)) |
(+.f64 1 (fma.f64 x x x)) |
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))) |
(+.f64 (+.f64 1 (*.f64 x x)) (+.f64 x (pow.f64 x 3))) |
(+.f64 (*.f64 x (fma.f64 x x x)) (+.f64 x 1)) |
(fma.f64 x (fma.f64 x x x) (+.f64 x 1)) |
(*.f64 (fma.f64 x x 1) (+.f64 x 1)) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (/.f64 -1 (pow.f64 x 3)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))) |
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) (/.f64 -1 (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (-.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3)))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (/.f64 -1 (pow.f64 x 3)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))) |
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) (/.f64 -1 (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (-.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3)))) |
Compiled 6 to 4 computations (33.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (-.f64 -1 x) (+.f64 x -1)) | |
| 0.0b | (+.f64 x (/.f64 (-.f64 -1 x) (+.f64 x -1))) | |
| ✓ | 0.0b | (+.f64 x (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
| 0.0b | (/.f64 (-.f64 -1 x) (+.f64 x -1)) |
Compiled 25 to 17 computations (32% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 x (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
| 0.0ms | x | @ | inf | (+.f64 x (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
| 0.0ms | x | @ | -inf | (+.f64 x (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
| 1× | batch-egg-rewrite |
| 674× | unpow-prod-down_binary64 |
| 435× | log-prod_binary64 |
| 342× | fma-def_binary64 |
| 275× | pow-prod-down_binary64 |
| 239× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 172 | 13 |
| 2 | 2763 | 13 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (+.f64 x -1)) (-.f64 (/.f64 x (+.f64 x -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 (-.f64 -1 x) (+.f64 x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (-.f64 -1 x) (+.f64 x -1)))) (/.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) 2) (-.f64 x (/.f64 (-.f64 -1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (/.f64 -1 (+.f64 x -1))) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 (-.f64 -1 x) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 (-.f64 -1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 -1 x) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 -1 x) (+.f64 x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 -1 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(-.f64 -1 x) (+.f64 x -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 -1 x) (+.f64 x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 -1 x) (+.f64 x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 -1 x) (+.f64 x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) (-.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (/.f64 (-.f64 -1 x) (+.f64 x -1))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 -1 x) (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 (-.f64 -1 x) (+.f64 x -1)))))))) 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(+.f64 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 (-.f64 -1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 (-.f64 -1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 (-.f64 -1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 (-.f64 -1 x) (+.f64 x -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (/.f64 (-.f64 -1 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (+.f64 x -1)) (neg.f64 (-.f64 (/.f64 x (+.f64 x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 -1 x) (/.f64 1 (+.f64 x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (-.f64 -1 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (-.f64 -1 x) (+.f64 x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 (+.f64 x -1)) (neg.f64 (-.f64 (/.f64 x (+.f64 x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) 2) (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 -1 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (-.f64 -1 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 (cbrt.f64 (-.f64 -1 x)) (/.f64 1 (+.f64 x -1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 -1 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 -1 x)) (*.f64 (sqrt.f64 (-.f64 -1 x)) (/.f64 1 (+.f64 x -1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (neg.f64 x)) (/.f64 -1 (+.f64 x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x -1)) (-.f64 -1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 x -1))) 2) (cbrt.f64 (/.f64 -1 (+.f64 x -1))) (neg.f64 (-.f64 (/.f64 x (+.f64 x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 x -1))) (sqrt.f64 (/.f64 -1 (+.f64 x -1))) (neg.f64 (-.f64 (/.f64 x (+.f64 x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (/.f64 (-.f64 -1 x) (cbrt.f64 (+.f64 x -1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x -1) -1/2) (/.f64 (-.f64 -1 x) (sqrt.f64 (+.f64 x -1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -1 x)) (+.f64 x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) 1) (/.f64 (sqrt.f64 (-.f64 -1 x)) (+.f64 x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (sqrt.f64 (-.f64 -1 x)) (cbrt.f64 (+.f64 x -1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (sqrt.f64 (+.f64 x -1))) (/.f64 (cbrt.f64 (-.f64 -1 x)) (sqrt.f64 (+.f64 x -1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 -1 x) (fma.f64 x x -1)) (+.f64 x 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)) (neg.f64 (-.f64 (/.f64 x (+.f64 x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 x 1) (neg.f64 (-.f64 (/.f64 x (+.f64 x -1)) x))))))) |
| 1× | egg-herbie |
| 823× | fma-neg_binary64 |
| 788× | fma-def_binary64 |
| 549× | cancel-sign-sub-inv_binary64 |
| 536× | unswap-sqr_binary64 |
| 521× | associate-*l*_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 105 |
| 1 | 78 | 105 |
| 2 | 192 | 104 |
| 3 | 562 | 99 |
| 4 | 1586 | 96 |
| 5 | 5061 | 92 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) 1))) |
x |
(-.f64 x 1) |
(-.f64 x (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 x (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
x |
(-.f64 x 1) |
(-.f64 x (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 x (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 (pow.f64 x 2)) 1)) |
(fma.f64 3 x (fma.f64 2 (*.f64 x x) 1)) |
(fma.f64 3 x (fma.f64 x (*.f64 x 2) 1)) |
(fma.f64 x (fma.f64 x 2 3) 1) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) 1))) |
(fma.f64 3 x (fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) 1))) |
(fma.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 3)) (fma.f64 3 x 1)) |
(fma.f64 3 x (fma.f64 2 (*.f64 x (fma.f64 x x x)) 1)) |
(fma.f64 x (fma.f64 x (fma.f64 x 2 2) 3) 1) |
x |
(-.f64 x 1) |
(+.f64 x -1) |
(-.f64 x (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 x (+.f64 1 (/.f64 2 x))) |
(+.f64 x (+.f64 -1 (/.f64 -2 x))) |
(+.f64 -1 (-.f64 x (/.f64 2 x))) |
(+.f64 (+.f64 x -1) (/.f64 -2 x)) |
(-.f64 x (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(-.f64 x (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))) |
(+.f64 x (+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 -2 (*.f64 x x)))) |
(+.f64 x (-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))) |
(+.f64 (+.f64 x -1) (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x x)))) |
(-.f64 x (fma.f64 (/.f64 1 x) (+.f64 2 (/.f64 2 x)) 1)) |
x |
(-.f64 x 1) |
(+.f64 x -1) |
(-.f64 x (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 x (+.f64 1 (/.f64 2 x))) |
(+.f64 x (+.f64 -1 (/.f64 -2 x))) |
(+.f64 -1 (-.f64 x (/.f64 2 x))) |
(+.f64 (+.f64 x -1) (/.f64 -2 x)) |
(-.f64 x (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(-.f64 x (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))) |
(+.f64 x (+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 -2 (*.f64 x x)))) |
(+.f64 x (-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))) |
(+.f64 (+.f64 x -1) (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x x)))) |
(-.f64 x (fma.f64 (/.f64 1 x) (+.f64 2 (/.f64 2 x)) 1)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 6.9b | (+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (-.f64 -1 x) (/.f64 1 (+.f64 x -1)))) | |
| 0.1b | (*.f64 (-.f64 -1 x) (/.f64 1 (+.f64 x -1))) | |
| 0.0b | (/.f64 x (+.f64 x 1)) | |
| 0.0b | (/.f64 1 (+.f64 x -1)) | |
| ✓ | 0.0b | (/.f64 1 (+.f64 x -1)) |
| 0.0b | (/.f64 x (+.f64 x 1)) | |
| ✓ | 0.1b | (*.f64 (-.f64 -1 x) (/.f64 1 (+.f64 x -1))) |
| ✓ | 6.9b | (+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (-.f64 -1 x) (/.f64 1 (+.f64 x -1)))) |
Compiled 47 to 34 computations (27.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (-.f64 -1 x) (/.f64 1 (+.f64 x -1)))) |
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 x -1)) |
| 0.0ms | x | @ | inf | (+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (-.f64 -1 x) (/.f64 1 (+.f64 x -1)))) |
| 0.0ms | x | @ | 0 | (/.f64 1 (+.f64 x -1)) |
| 0.0ms | x | @ | -inf | (/.f64 1 (+.f64 x -1)) |
| 1× | batch-egg-rewrite |
| 601× | log-prod_binary64 |
| 516× | fma-def_binary64 |
| 317× | pow2_binary64 |
| 293× | fma-neg_binary64 |
| 252× | log-div_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 36 |
| 1 | 258 | 36 |
| 2 | 3972 | 36 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (-.f64 -1 x) (/.f64 1 (+.f64 x -1)))) |
(*.f64 (-.f64 -1 x) (/.f64 1 (+.f64 x -1))) |
(/.f64 1 (+.f64 x -1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1)))) (/.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) 2) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1)))) 2) (cbrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 -1 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (/.f64 -1 (-.f64 1 x))) (*.f64 (neg.f64 x) (/.f64 -1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) -1) (*.f64 (/.f64 -1 (-.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 x) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (/.f64 (+.f64 x -1) (cbrt.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 -1 x)) (/.f64 (+.f64 x -1) (sqrt.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (pow.f64 x 3)) (*.f64 (+.f64 x -1) (fma.f64 x (+.f64 x -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (+.f64 x -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 -1 x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x (+.f64 x -1) 1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) 1) (pow.f64 (+.f64 x -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) -1) (*.f64 (fma.f64 x (+.f64 x -1) 1) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) -1) (*.f64 (+.f64 x -1) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 -1 (pow.f64 x 3))) (*.f64 (-.f64 1 x) (fma.f64 x (+.f64 x -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 1 (*.f64 x x))) (*.f64 (-.f64 1 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 -1 x) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 -1 x) 1) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 -1 x) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)))))) (#(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 (-.f64 -1 x) -1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 -1 (-.f64 1 x))) (fma.f64 x (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 -1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 1 (*.f64 x x))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 -1 (-.f64 1 x)) (*.f64 (neg.f64 x) (/.f64 -1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (-.f64 1 x)) -1 (*.f64 (/.f64 -1 (-.f64 1 x)) (neg.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (cbrt.f64 (/.f64 -1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (/.f64 -1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1)))))) |
| 1× | egg-herbie |
| 571× | fma-neg_binary64 |
| 489× | sub-neg_binary64 |
| 315× | fma-def_binary64 |
| 289× | distribute-neg-frac_binary64 |
| 265× | cancel-sign-sub-inv_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 513 |
| 1 | 201 | 475 |
| 2 | 627 | 466 |
| 3 | 2019 | 463 |
| 4 | 5809 | 460 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
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))))))) |
-1 |
(-.f64 (*.f64 -1 x) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (fma.f64 3 x 1) (*.f64 x x)) |
(fma.f64 3 x (fma.f64 x x 1)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))) |
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) |
(*.f64 (fma.f64 3 x 1) (fma.f64 x x 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 -3 (pow.f64 x 3))) |
(-.f64 (/.f64 -3 (pow.f64 x 3)) (-.f64 (/.f64 3 x) (/.f64 -1 (*.f64 x x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 -3 (pow.f64 x 3))) |
(-.f64 (/.f64 -3 (pow.f64 x 3)) (-.f64 (/.f64 3 x) (/.f64 -1 (*.f64 x x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
1 |
(+.f64 (*.f64 2 x) 1) |
(fma.f64 2 x 1) |
(fma.f64 x 2 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1)) |
(+.f64 1 (*.f64 2 (fma.f64 x x x))) |
(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 (pow.f64 x 3) (+.f64 1 (*.f64 2 (fma.f64 x x x)))) |
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (fma.f64 x x x) 1)) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.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)))))) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))) |
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 (/.f64 -2 x) x)) |
(+.f64 -1 (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 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 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 (/.f64 -2 x) x)) (/.f64 -2 (pow.f64 x 3))) |
(+.f64 (/.f64 (/.f64 -2 x) x) (+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 -2 (pow.f64 x 3)))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.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)))))) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))) |
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 (/.f64 -2 x) x)) |
(+.f64 -1 (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 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 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 (/.f64 -2 x) x)) (/.f64 -2 (pow.f64 x 3))) |
(+.f64 (/.f64 (/.f64 -2 x) x) (+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 -2 (pow.f64 x 3)))) |
-1 |
(-.f64 (*.f64 -1 x) 1) |
(fma.f64 -1 x -1) |
(fma.f64 x -1 -1) |
(-.f64 -1 x) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x -1)) |
(fma.f64 -1 (fma.f64 x x x) -1) |
(-.f64 -1 (fma.f64 x x x)) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(+.f64 (fma.f64 -1 (pow.f64 x 3) (*.f64 -1 (+.f64 (*.f64 x x) x))) -1) |
(+.f64 -1 (-.f64 (neg.f64 (fma.f64 x x x)) (pow.f64 x 3))) |
(-.f64 (-.f64 -1 (fma.f64 x x x)) (pow.f64 x 3)) |
(*.f64 (fma.f64 x x 1) (-.f64 -1 x)) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) |
(+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))) |
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) |
(+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))) |
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.9b | (/.f64 1 (pow.f64 x 2)) | |
| 0.4b | (*.f64 3 (/.f64 1 x)) | |
| 0.0b | (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) | |
| ✓ | 0.0b | (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
| ✓ | 0.4b | (*.f64 3 (/.f64 1 x)) |
| ✓ | 0.9b | (/.f64 1 (pow.f64 x 2)) |
Compiled 44 to 35 computations (20.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 1 (pow.f64 x 2)) |
| 0.0ms | x | @ | 0 | (*.f64 3 (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (*.f64 3 (/.f64 1 x)) |
| 0.0ms | x | @ | 0 | (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
| 0.0ms | x | @ | -inf | (*.f64 3 (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 966× | pow1_binary64 |
| 904× | add-log-exp_binary64 |
| 903× | log1p-expm1-u_binary64 |
| 903× | expm1-log1p-u_binary64 |
| 105× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 18 |
| 1 | 222 | 18 |
| 2 | 2762 | 18 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (pow.f64 x 2)) |
(*.f64 3 (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (pow.f64 x -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -2) (pow.f64 (sqrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) -2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -3 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 27 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x -2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 3 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x -4) (-.f64 (pow.f64 x -2) (/.f64 3 x))) (/.f64 (*.f64 (pow.f64 x -2) 9) (-.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 x -2) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))) 2) (cbrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))) (sqrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -6) (/.f64 27 (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 x -4) (-.f64 (*.f64 (pow.f64 x -2) 9) (/.f64 3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -2) 9)) (/.f64 1 (-.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -4) (-.f64 (*.f64 (pow.f64 x -2) 9) (/.f64 3 (pow.f64 x 3)))) (+.f64 (pow.f64 x -6) (/.f64 27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 x -2) (/.f64 3 x)) (-.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -2) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -6) (/.f64 27 (pow.f64 x 3))) (+.f64 (pow.f64 x -4) (-.f64 (*.f64 (pow.f64 x -2) 9) (/.f64 3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -6) (/.f64 27 (pow.f64 x 3))) (+.f64 (*.f64 (pow.f64 x -2) 9) (-.f64 (pow.f64 x -4) (/.f64 3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -2) 9)) (-.f64 (pow.f64 x -2) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x -6) (/.f64 27 (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 x -4) (-.f64 (*.f64 (pow.f64 x -2) 9) (/.f64 3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -2) 9))) (neg.f64 (-.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (*.f64 x x) 3)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 x) (*.f64 (*.f64 x (neg.f64 x)) 3)) (*.f64 (*.f64 x (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 3 (*.f64 x x)) x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 3 (*.f64 x (neg.f64 x))) (*.f64 x -1)) (*.f64 x (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x -2) 9) (pow.f64 x -4)) (-.f64 (/.f64 3 x) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x -2) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 3 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (/.f64 1 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 3 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) (/.f64 1 x) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (cbrt.f64 (/.f64 3 x)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 3 x)) (sqrt.f64 (/.f64 3 x)) (pow.f64 x -2)))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 560× | cube-prod_binary64 |
| 556× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 434× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 63 |
| 1 | 14 | 63 |
| 2 | 21 | 63 |
| 3 | 38 | 63 |
| 4 | 81 | 63 |
| 5 | 243 | 63 |
| 6 | 899 | 63 |
| 7 | 2191 | 63 |
| 8 | 2357 | 63 |
| 9 | 2541 | 63 |
| 10 | 2749 | 63 |
| 11 | 3046 | 63 |
| 12 | 3439 | 63 |
| 13 | 3920 | 63 |
| 14 | 4486 | 63 |
| 15 | 5172 | 63 |
| 16 | 6009 | 63 |
| 17 | 6405 | 63 |
| 18 | 6695 | 63 |
| 19 | 6971 | 63 |
| 20 | 7043 | 63 |
| 21 | 7079 | 63 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 3 x) |
(/.f64 3 x) |
| Outputs |
|---|
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 3 x) |
(/.f64 3 x) |
Compiled 20671 to 15043 computations (27.2% saved)
13 alts after pruning (11 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 885 | 10 | 895 |
| Fresh | 6 | 1 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 895 | 13 | 908 |
| Status | Error | Program |
|---|---|---|
| ✓ | 28.6b | (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
| ▶ | 31.3b | (+.f64 (*.f64 3 x) 1) |
| 29.3b | (/.f64 (fma.f64 (-.f64 -1 x) (+.f64 x 1) (*.f64 (+.f64 x -1) x)) (*.f64 (+.f64 x -1) (+.f64 x 1))) | |
| ▶ | 32.0b | (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 2 x)) |
| ▶ | 28.6b | (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
| 28.6b | (+.f64 (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (+.f64 x -1))) (/.f64 x (+.f64 x 1))) | |
| ▶ | 24.1b | (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (-.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)) (*.f64 (/.f64 (+.f64 x -1) x) (+.f64 x 1)))) |
| 32.9b | (neg.f64 (+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 3 (/.f64 1 x)))) | |
| 31.0b | 1 | |
| 32.7b | (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) | |
| ✓ | 32.3b | (/.f64 -3 x) |
| ▶ | 31.1b | (-.f64 (/.f64 1 (-.f64 1 x)) (*.f64 -2 x)) |
| 31.3b | (+.f64 x (+.f64 (*.f64 2 x) 1)) |
Compiled 304 to 227 computations (25.3% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (-.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)) (*.f64 (/.f64 (+.f64 x -1) x) (+.f64 x 1)))) | |
| 0.0b | (*.f64 (/.f64 (+.f64 x -1) x) (+.f64 x 1)) | |
| 0.0b | (/.f64 1 (-.f64 1 x)) | |
| 0.0b | (/.f64 (+.f64 x -1) x) | |
| ✓ | 0.0b | (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (-.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)) (*.f64 (/.f64 (+.f64 x -1) x) (+.f64 x 1)))) |
| ✓ | 0.1b | (*.f64 (/.f64 (+.f64 x -1) x) x) |
| ✓ | 0.1b | (/.f64 (-.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)) (*.f64 (/.f64 (+.f64 x -1) x) (+.f64 x 1))) |
| ✓ | 1.9b | (-.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)) |
Compiled 98 to 66 computations (32.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (*.f64 (/.f64 (+.f64 x -1) x) x) |
| 1.0ms | x | @ | -inf | (-.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)) (*.f64 (/.f64 (+.f64 x -1) x) (+.f64 x 1))) |
| 0.0ms | x | @ | -inf | (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (-.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)) (*.f64 (/.f64 (+.f64 x -1) x) (+.f64 x 1)))) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)) (*.f64 (/.f64 (+.f64 x -1) x) (+.f64 x 1))) |
| 1× | batch-egg-rewrite |
| 551× | fma-neg_binary64 |
| 307× | expm1-udef_binary64 |
| 306× | log1p-udef_binary64 |
| 187× | add-sqr-sqrt_binary64 |
| 184× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 97 |
| 1 | 354 | 87 |
| 2 | 6290 | 87 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)) |
(/.f64 (-.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)) (*.f64 (/.f64 (+.f64 x -1) x) (+.f64 x 1))) |
(*.f64 (/.f64 (+.f64 x -1) x) x) |
(-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (-.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)) (*.f64 (/.f64 (+.f64 x -1) x) (+.f64 x 1)))) |
| Outputs |
|---|
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(/.f64 (+.f64 x -1) (/.f64 x x))) (/.f64 (fma.f64 x x -1) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (-.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (/.f64 x x))) (/.f64 (fma.f64 x x -1) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (-.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (/.f64 x x))) (/.f64 (fma.f64 x x -1) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (-.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (/.f64 x x))) (/.f64 (fma.f64 x x -1) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (-.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (/.f64 x x))) (/.f64 (fma.f64 x x -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (-.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (/.f64 x x))) (/.f64 (fma.f64 x x -1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (-.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (/.f64 x x))) (/.f64 (fma.f64 x x -1) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (-.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (/.f64 x x))) (/.f64 (fma.f64 x x -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (-.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (/.f64 x x))) (/.f64 (fma.f64 x x -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (-.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (/.f64 x x))) (/.f64 (fma.f64 x x -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (-.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (/.f64 x x))) (/.f64 (fma.f64 x x -1) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (-.f64 1 x)) (neg.f64 (/.f64 (-.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (/.f64 x x))) (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 x))) (neg.f64 (/.f64 (-.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (/.f64 x x))) (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 x)) 1 (neg.f64 (/.f64 (-.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (/.f64 x x))) (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (neg.f64 (/.f64 (-.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (/.f64 x x))) (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 x))) (neg.f64 (/.f64 (-.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (/.f64 x x))) (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 1 x) -1/2) (pow.f64 (-.f64 1 x) -1/2) (neg.f64 (/.f64 (-.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (/.f64 x x))) (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) -1) (pow.f64 (cbrt.f64 (-.f64 1 x)) -1) (neg.f64 (/.f64 (-.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (/.f64 x x))) (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (-.f64 1 x)) -1) (pow.f64 (sqrt.f64 (-.f64 1 x)) -1) (neg.f64 (/.f64 (-.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (/.f64 x x))) (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)) (neg.f64 (/.f64 (-.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (/.f64 x x))) (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 x 1) (neg.f64 (/.f64 (-.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (/.f64 x x))) (/.f64 (fma.f64 x x -1) x)))))))) |
| 1× | egg-herbie |
| 889× | fma-neg_binary64 |
| 824× | times-frac_binary64 |
| 811× | fma-def_binary64 |
| 549× | associate-/l/_binary64 |
| 418× | cancel-sign-sub-inv_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 433 |
| 1 | 187 | 415 |
| 2 | 542 | 413 |
| 3 | 1568 | 410 |
| 4 | 4291 | 399 |
| 1× | node limit |
| Inputs |
|---|
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
(*.f64 -2 x) |
(+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) |
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) |
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 7))))) |
(/.f64 2 x) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(/.f64 2 x) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
-1 |
(-.f64 x 1) |
(-.f64 x 1) |
(-.f64 x 1) |
x |
(-.f64 x 1) |
(-.f64 x 1) |
(-.f64 x 1) |
x |
(-.f64 x 1) |
(-.f64 x 1) |
(-.f64 x 1) |
1 |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
| Outputs |
|---|
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
(*.f64 -2 x) |
(+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) |
(*.f64 -2 (+.f64 x (pow.f64 x 3))) |
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) |
(fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) |
(*.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5)))) |
(*.f64 -2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))) |
(*.f64 -2 (fma.f64 x (fma.f64 x x 1) (pow.f64 x 5))) |
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 7))))) |
(fma.f64 -2 x (fma.f64 -2 (pow.f64 x 5) (*.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 7))))) |
(fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 3) (pow.f64 x 7))))) |
(*.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 7) (pow.f64 x 5))))) |
(*.f64 -2 (+.f64 (pow.f64 x 7) (fma.f64 x (fma.f64 x x 1) (pow.f64 x 5)))) |
(/.f64 2 x) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x)) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 5)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x)) (/.f64 2 (pow.f64 x 7)))) |
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 5)))) (/.f64 2 (pow.f64 x 7))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))) |
(/.f64 2 x) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x)) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 5)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x)) (/.f64 2 (pow.f64 x 7)))) |
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 5)))) (/.f64 2 (pow.f64 x 7))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))) |
-1 |
(-.f64 x 1) |
(+.f64 x -1) |
(-.f64 x 1) |
(+.f64 x -1) |
(-.f64 x 1) |
(+.f64 x -1) |
x |
(-.f64 x 1) |
(+.f64 x -1) |
(-.f64 x 1) |
(+.f64 x -1) |
(-.f64 x 1) |
(+.f64 x -1) |
x |
(-.f64 x 1) |
(+.f64 x -1) |
(-.f64 x 1) |
(+.f64 x -1) |
(-.f64 x 1) |
(+.f64 x -1) |
1 |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(fma.f64 x 3 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (fma.f64 3 x 1) (*.f64 x x)) |
(fma.f64 x 3 (fma.f64 x x 1)) |
(fma.f64 x x (fma.f64 x 3 1)) |
(fma.f64 x (+.f64 x 3) 1) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x)))) |
(fma.f64 x 3 (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))) |
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) |
(fma.f64 x (+.f64 x 3) (fma.f64 3 (pow.f64 x 3) 1)) |
(*.f64 (fma.f64 x 3 1) (fma.f64 x x 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(-.f64 (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 3 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (-.f64 (/.f64 -3 x) (/.f64 1 (pow.f64 x 4)))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (-.f64 (/.f64 -3 x) (/.f64 1 (pow.f64 x 4)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(-.f64 (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 3 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (-.f64 (/.f64 -3 x) (/.f64 1 (pow.f64 x 4)))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (-.f64 (/.f64 -3 x) (/.f64 1 (pow.f64 x 4)))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (*.f64 3 x) 1) | |
| ✓ | 0.0b | (+.f64 (*.f64 3 x) 1) |
Compiled 12 to 9 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 3 x) 1) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 3 x) 1) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 3 x) 1) |
| 1× | batch-egg-rewrite |
| 560× | pow1_binary64 |
| 522× | log1p-expm1-u_binary64 |
| 522× | expm1-log1p-u_binary64 |
| 521× | add-log-exp_binary64 |
| 512× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 5 |
| 1 | 124 | 5 |
| 2 | 1446 | 5 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 3 x) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 3 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 9) (fma.f64 3 x -1)) (/.f64 1 (fma.f64 3 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3 x 1)) (pow.f64 (cbrt.f64 (fma.f64 3 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x 1)) 2) (cbrt.f64 (fma.f64 3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3 x 1)) (sqrt.f64 (fma.f64 3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (*.f64 3 x) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 1 (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 x x) 9) -1) (/.f64 1 (fma.f64 3 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 1 (*.f64 3 x))) (+.f64 1 (pow.f64 (*.f64 3 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 3 x -1) (+.f64 (*.f64 (*.f64 x x) 9) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 3 x) 3)) (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 1 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 3 x) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 x x) 9) (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 x x) 9) -1) (fma.f64 3 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 3 x) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 1 (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) 9) -1)) (neg.f64 (fma.f64 3 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (*.f64 x x) 9)) (-.f64 1 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3 x 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3 x 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3 x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3 x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (cbrt.f64 (*.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 x)) (sqrt.f64 (*.f64 3 x)) 1))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 9 |
| 1 | 8 | 9 |
| 1× | saturated |
| Inputs |
|---|
1 |
(*.f64 3 x) |
(*.f64 3 x) |
| Outputs |
|---|
1 |
(*.f64 3 x) |
(*.f64 3 x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 (/.f64 1 (-.f64 1 x)) (*.f64 -2 x)) | |
| 0.0b | (/.f64 1 (-.f64 1 x)) | |
| 0.0b | (/.f64 1 (-.f64 1 x)) | |
| ✓ | 0.0b | (-.f64 (/.f64 1 (-.f64 1 x)) (*.f64 -2 x)) |
Compiled 24 to 18 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 (/.f64 1 (-.f64 1 x)) (*.f64 -2 x)) |
| 0.0ms | x | @ | inf | (-.f64 (/.f64 1 (-.f64 1 x)) (*.f64 -2 x)) |
| 0.0ms | x | @ | -inf | (-.f64 (/.f64 1 (-.f64 1 x)) (*.f64 -2 x)) |
| 1× | batch-egg-rewrite |
| 979× | pow1_binary64 |
| 917× | add-log-exp_binary64 |
| 915× | log1p-expm1-u_binary64 |
| 915× | expm1-log1p-u_binary64 |
| 95× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 185 | 13 |
| 2 | 2508 | 13 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 1 (-.f64 1 x)) (*.f64 -2 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 1 x)) (*.f64 (*.f64 x 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2)) (fma.f64 (*.f64 x 2) 1 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2)) (fma.f64 2 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2)) (fma.f64 (neg.f64 x) -2 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 x -2)) 2) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x -2))) (sqrt.f64 (*.f64 x -2)) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2))) 2) (cbrt.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2))) (sqrt.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 1 x) -3) (*.f64 -8 (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 x) -2) (+.f64 (pow.f64 (*.f64 x -2) 2) (/.f64 (*.f64 x -2) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 1 x) -2) (pow.f64 (*.f64 x -2) 2)) (/.f64 1 (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (-.f64 1 x) -1/2) (sqrt.f64 (*.f64 x -2))) (-.f64 (pow.f64 (-.f64 1 x) -1/2) (sqrt.f64 (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 1 x) -2) (+.f64 (pow.f64 (*.f64 x -2) 2) (/.f64 (*.f64 x -2) (-.f64 1 x)))) (-.f64 (pow.f64 (-.f64 1 x) -3) (*.f64 -8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x -2)) (-.f64 (pow.f64 (-.f64 1 x) -2) (pow.f64 (*.f64 x -2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 x) -3) (*.f64 -8 (pow.f64 x 3))) (+.f64 (pow.f64 (-.f64 1 x) -2) (+.f64 (pow.f64 (*.f64 x -2) 2) (/.f64 (*.f64 x -2) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 x) -2) (pow.f64 (*.f64 x -2) 2)) (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) -3) (*.f64 -8 (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (-.f64 1 x) -2) (+.f64 (pow.f64 (*.f64 x -2) 2) (/.f64 (*.f64 x -2) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) -2) (pow.f64 (*.f64 x -2) 2))) (neg.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 1 x) -3) (pow.f64 (*.f64 x 2) 3)) (+.f64 (pow.f64 (-.f64 1 x) -2) (-.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (*.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 x) -2) (*.f64 (*.f64 x 2) (*.f64 x 2))) (-.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (-.f64 1 x)) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 x))) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 1 x) -1/2) (pow.f64 (-.f64 1 x) -1/2) (*.f64 x 2)))))) |
| 1× | egg-herbie |
| 679× | fma-neg_binary64 |
| 607× | associate-/l*_binary64 |
| 536× | unswap-sqr_binary64 |
| 534× | cancel-sign-sub-inv_binary64 |
| 496× | fma-def_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 156 |
| 1 | 67 | 140 |
| 2 | 162 | 138 |
| 3 | 410 | 136 |
| 4 | 1268 | 136 |
| 5 | 3844 | 132 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (+.f64 1 (+.f64 (pow.f64 x 2) (pow.f64 x 3)))) |
(*.f64 2 x) |
(-.f64 (*.f64 2 x) (/.f64 1 x)) |
(-.f64 (*.f64 2 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(-.f64 (*.f64 2 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(*.f64 2 x) |
(-.f64 (*.f64 2 x) (/.f64 1 x)) |
(-.f64 (*.f64 2 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(-.f64 (*.f64 2 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (fma.f64 3 x 1) (*.f64 x x)) |
(fma.f64 3 x (fma.f64 x x 1)) |
(fma.f64 x x (fma.f64 3 x 1)) |
(fma.f64 x (+.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (+.f64 (pow.f64 x 2) (pow.f64 x 3)))) |
(+.f64 (fma.f64 3 x 1) (+.f64 (*.f64 x x) (pow.f64 x 3))) |
(+.f64 (fma.f64 3 x 1) (fma.f64 x x (pow.f64 x 3))) |
(fma.f64 x (fma.f64 x x x) (fma.f64 3 x 1)) |
(fma.f64 x (+.f64 3 (fma.f64 x x x)) 1) |
(fma.f64 x (fma.f64 x x (+.f64 3 x)) 1) |
(*.f64 2 x) |
(*.f64 x 2) |
(-.f64 (*.f64 2 x) (/.f64 1 x)) |
(-.f64 (*.f64 x 2) (/.f64 1 x)) |
(fma.f64 x 2 (/.f64 -1 x)) |
(-.f64 (*.f64 2 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(-.f64 (-.f64 (*.f64 x 2) (/.f64 1 (*.f64 x x))) (/.f64 1 x)) |
(-.f64 (fma.f64 x 2 (/.f64 -1 x)) (/.f64 1 (*.f64 x x))) |
(+.f64 (fma.f64 x 2 (/.f64 -1 x)) (/.f64 (/.f64 -1 x) x)) |
(+.f64 (fma.f64 x 2 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 -1 x) (fma.f64 x 2 (/.f64 -1 (*.f64 x x)))) |
(-.f64 (*.f64 2 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (*.f64 x 2) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (-.f64 (fma.f64 x 2 (/.f64 -1 x)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) |
(fma.f64 x 2 (+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
(+.f64 (fma.f64 x 2 (/.f64 -1 x)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 1 x) (fma.f64 x 2 (/.f64 -1 (pow.f64 x 3))))) |
(fma.f64 x 2 (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) -1) (/.f64 -1 x))) |
(*.f64 2 x) |
(*.f64 x 2) |
(-.f64 (*.f64 2 x) (/.f64 1 x)) |
(-.f64 (*.f64 x 2) (/.f64 1 x)) |
(fma.f64 x 2 (/.f64 -1 x)) |
(-.f64 (*.f64 2 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(-.f64 (-.f64 (*.f64 x 2) (/.f64 1 (*.f64 x x))) (/.f64 1 x)) |
(-.f64 (fma.f64 x 2 (/.f64 -1 x)) (/.f64 1 (*.f64 x x))) |
(+.f64 (fma.f64 x 2 (/.f64 -1 x)) (/.f64 (/.f64 -1 x) x)) |
(+.f64 (fma.f64 x 2 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 -1 x) (fma.f64 x 2 (/.f64 -1 (*.f64 x x)))) |
(-.f64 (*.f64 2 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (*.f64 x 2) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (-.f64 (fma.f64 x 2 (/.f64 -1 x)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) |
(fma.f64 x 2 (+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
(+.f64 (fma.f64 x 2 (/.f64 -1 x)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 1 x) (fma.f64 x 2 (/.f64 -1 (pow.f64 x 3))))) |
(fma.f64 x 2 (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) -1) (/.f64 -1 x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 2 x)) | |
| 0.0b | (/.f64 1 (-.f64 1 x)) | |
| 0.0b | (/.f64 1 (-.f64 1 x)) | |
| ✓ | 0.2b | (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 2 x)) |
Compiled 24 to 18 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 2 x)) |
| 0.0ms | x | @ | 0 | (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 2 x)) |
| 0.0ms | x | @ | -inf | (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 2 x)) |
| 1× | batch-egg-rewrite |
| 784× | prod-diff_binary64 |
| 645× | unpow-prod-down_binary64 |
| 414× | log-prod_binary64 |
| 301× | fma-def_binary64 |
| 246× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 191 | 13 |
| 2 | 2786 | 13 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 2 x)) |
| Outputs |
|---|
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(pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (-.f64 1 x) -2) (pow.f64 (/.f64 2 x) 2)) (/.f64 1 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 2 x))) (+.f64 (/.f64 -2 x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (cbrt.f64 (/.f64 -2 x)) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2 x)) (sqrt.f64 (/.f64 -2 x)) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 2 x))) (sqrt.f64 (/.f64 2 x)) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (-.f64 1 x) -1/2) (sqrt.f64 (/.f64 2 x))) (-.f64 (pow.f64 (-.f64 1 x) -1/2) (sqrt.f64 (/.f64 2 x))) (fma.f64 (/.f64 -2 x) 1 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (-.f64 1 x) -1/2) (sqrt.f64 (/.f64 2 x))) (-.f64 (pow.f64 (-.f64 1 x) -1/2) (sqrt.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (/.f64 1 x)) 2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (-.f64 1 x) -1/2) (sqrt.f64 (/.f64 2 x))) (-.f64 (pow.f64 (-.f64 1 x) -1/2) (sqrt.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (-.f64 1 x) -1/2) (sqrt.f64 (/.f64 2 x))) (-.f64 (pow.f64 (-.f64 1 x) -1/2) (sqrt.f64 (/.f64 2 x))) (+.f64 (/.f64 -2 x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (cbrt.f64 (/.f64 2 x)) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)) (*.f64 (/.f64 -2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 1 x) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 1 x) (*.f64 (/.f64 -2 x) 1)))))) |
| 1× | egg-herbie |
| 555× | distribute-neg-frac_binary64 |
| 539× | fma-neg_binary64 |
| 472× | associate-/r*_binary64 |
| 405× | fma-def_binary64 |
| 337× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 189 |
| 1 | 93 | 175 |
| 2 | 239 | 175 |
| 3 | 678 | 175 |
| 4 | 1844 | 175 |
| 5 | 6577 | 175 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -2 x) |
(-.f64 1 (*.f64 2 (/.f64 1 x))) |
(-.f64 (+.f64 1 x) (*.f64 2 (/.f64 1 x))) |
(-.f64 (+.f64 1 (+.f64 (pow.f64 x 2) x)) (*.f64 2 (/.f64 1 x))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3 (/.f64 1 x)))))) |
| Outputs |
|---|
(/.f64 -2 x) |
(-.f64 1 (*.f64 2 (/.f64 1 x))) |
(-.f64 1 (/.f64 2 x)) |
(+.f64 1 (/.f64 -2 x)) |
(-.f64 (+.f64 1 x) (*.f64 2 (/.f64 1 x))) |
(+.f64 1 (-.f64 x (/.f64 2 x))) |
(+.f64 x (+.f64 1 (/.f64 -2 x))) |
(+.f64 (+.f64 x 1) (/.f64 -2 x)) |
(-.f64 (+.f64 1 (+.f64 (pow.f64 x 2) x)) (*.f64 2 (/.f64 1 x))) |
(+.f64 1 (-.f64 (+.f64 x (*.f64 x x)) (/.f64 2 x))) |
(+.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 -2 x)) |
(+.f64 x (+.f64 (fma.f64 x x 1) (/.f64 -2 x))) |
(+.f64 x (+.f64 (/.f64 -2 x) (fma.f64 x x 1))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (/.f64 3 x)) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 -1 (pow.f64 x 3))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4))) |
(+.f64 (-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (/.f64 3 x)) (/.f64 -1 (pow.f64 x 4))) |
(+.f64 (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3))) (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (/.f64 3 x)) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 -1 (pow.f64 x 3))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4))) |
(+.f64 (-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (/.f64 3 x)) (/.f64 -1 (pow.f64 x 4))) |
(+.f64 (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3))) (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3)))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 3.0b | (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) | |
| 0.0b | (/.f64 1 (/.f64 (+.f64 x -1) (-.f64 -1 x))) | |
| 0.0b | (/.f64 x (+.f64 x 1)) | |
| 0.0b | (/.f64 (+.f64 x -1) (-.f64 -1 x)) | |
| ✓ | 0.0b | (/.f64 (+.f64 x -1) (-.f64 -1 x)) |
| 0.0b | (/.f64 x (+.f64 x 1)) | |
| ✓ | 0.0b | (/.f64 1 (/.f64 (+.f64 x -1) (-.f64 -1 x))) |
| ✓ | 3.0b | (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
Compiled 49 to 35 computations (28.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 x -1) (-.f64 -1 x)) |
| 0.0ms | x | @ | inf | (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 x -1) (-.f64 -1 x)) |
| 0.0ms | x | @ | -inf | (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
| 1× | batch-egg-rewrite |
| 655× | log-prod_binary64 |
| 581× | fma-def_binary64 |
| 333× | log-div_binary64 |
| 323× | fma-neg_binary64 |
| 226× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 1 | 268 | 39 |
| 2 | 4414 | 39 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
(/.f64 1 (/.f64 (+.f64 x -1) (-.f64 -1 x))) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 592× | associate-/l/_binary64 |
| 397× | sub-neg_binary64 |
| 344× | fma-neg_binary64 |
| 326× | fma-def_binary64 |
| 314× | distribute-rgt-out_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 474 |
| 1 | 210 | 440 |
| 2 | 641 | 433 |
| 3 | 1913 | 433 |
| 4 | 4881 | 430 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
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))))))) |
1 |
(+.f64 1 (*.f64 -2 x)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (fma.f64 3 x 1) (*.f64 x x)) |
(fma.f64 3 x (fma.f64 x x 1)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))) |
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) |
(*.f64 (fma.f64 3 x 1) (fma.f64 x x 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 -3 (pow.f64 x 3))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 3 x) (/.f64 -3 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 -3 (pow.f64 x 3))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 3 x) (/.f64 -3 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
1 |
(+.f64 (*.f64 2 x) 1) |
(fma.f64 2 x 1) |
(fma.f64 x 2 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 (*.f64 x x) (fma.f64 x 2 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 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 x 2 1))) |
(fma.f64 2 (*.f64 x (fma.f64 x x x)) (fma.f64 x 2 1)) |
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (fma.f64 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)) |
(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 x) (/.f64 2 (*.f64 x x))))) |
(-.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 2 (*.f64 x x))) |
(+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 (/.f64 -2 x) x)) |
(+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 -2 (*.f64 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))))))) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))) |
(-.f64 (+.f64 -1 (/.f64 -2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (+.f64 -1 (/.f64 -2 x)) (+.f64 (/.f64 (/.f64 -2 x) x) (/.f64 -2 (pow.f64 x 3)))) |
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 -1 (neg.f64 (/.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)))))) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))) |
(-.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 2 (*.f64 x x))) |
(+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 (/.f64 -2 x) x)) |
(+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 -2 (*.f64 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))))))) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))) |
(-.f64 (+.f64 -1 (/.f64 -2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (+.f64 -1 (/.f64 -2 x)) (+.f64 (/.f64 (/.f64 -2 x) x) (/.f64 -2 (pow.f64 x 3)))) |
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))) |
1 |
(+.f64 1 (*.f64 -2 x)) |
(+.f64 1 (*.f64 x -2)) |
(fma.f64 x -2 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x))) |
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 x -2))) |
(fma.f64 2 (*.f64 x x) (fma.f64 x -2 1)) |
(fma.f64 x (*.f64 x 2) (fma.f64 x -2 1)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))))) |
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 (+.f64 x (pow.f64 x 3))))) |
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1)) |
(fma.f64 x (*.f64 x 2) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1)) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (/.f64 2 x) -1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 2 x) -1) (/.f64 2 (*.f64 x x))) |
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (+.f64 -1 (/.f64 (/.f64 -2 x) x))) |
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) 1) (/.f64 2 (*.f64 x x))) |
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x))))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -1 (/.f64 (/.f64 -2 x) x)))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))) |
(+.f64 (/.f64 2 x) (-.f64 (/.f64 -2 (*.f64 x x)) (+.f64 1 (/.f64 -2 (pow.f64 x 3))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (/.f64 2 x) -1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 2 x) -1) (/.f64 2 (*.f64 x x))) |
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (+.f64 -1 (/.f64 (/.f64 -2 x) x))) |
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) 1) (/.f64 2 (*.f64 x x))) |
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x))))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -1 (/.f64 (/.f64 -2 x) x)))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))) |
(+.f64 (/.f64 2 x) (-.f64 (/.f64 -2 (*.f64 x x)) (+.f64 1 (/.f64 -2 (pow.f64 x 3))))) |
Compiled 19167 to 13903 computations (27.5% saved)
14 alts after pruning (8 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 827 | 6 | 833 |
| Fresh | 4 | 2 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 5 | 6 |
| Total | 832 | 14 | 846 |
| Status | Error | Program |
|---|---|---|
| ✓ | 28.6b | (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
| ✓ | 31.3b | (+.f64 (*.f64 3 x) 1) |
| 25.5b | (/.f64 (-.f64 (+.f64 x 1) (*.f64 (-.f64 1 x) (*.f64 (-.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (/.f64 x x))) (/.f64 x (+.f64 x -1))))) (*.f64 (-.f64 1 x) (+.f64 x 1))) | |
| ✓ | 32.0b | (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 2 x)) |
| ✓ | 28.6b | (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
| ✓ | 31.1b | (-.f64 (/.f64 1 (-.f64 1 x)) (*.f64 -2 x)) |
| ▶ | 32.7b | (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) |
| ▶ | 32.4b | (-.f64 (/.f64 -1 x) (/.f64 2 x)) |
| ▶ | 32.9b | (neg.f64 (+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 3 (/.f64 1 x)))) |
| 31.0b | 1 | |
| ✓ | 32.3b | (/.f64 -3 x) |
| ▶ | 0.2b | (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 2 (*.f64 (/.f64 (+.f64 x -1) x) (+.f64 x 1)))) |
| 28.6b | (+.f64 (/.f64 x (+.f64 x 1)) (-.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 x (+.f64 x -1)))) | |
| ▶ | 31.3b | (-.f64 (+.f64 1 x) (*.f64 -2 x)) |
Compiled 284 to 212 computations (25.4% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 2 (*.f64 (/.f64 (+.f64 x -1) x) (+.f64 x 1))) | |
| 0.0b | (*.f64 (/.f64 (+.f64 x -1) x) (+.f64 x 1)) | |
| 0.0b | (/.f64 1 (-.f64 1 x)) | |
| 0.0b | (/.f64 (+.f64 x -1) x) | |
| 0.0b | (/.f64 1 (-.f64 1 x)) | |
| ✓ | 0.0b | (*.f64 (/.f64 (+.f64 x -1) x) (+.f64 x 1)) |
| ✓ | 0.1b | (/.f64 2 (*.f64 (/.f64 (+.f64 x -1) x) (+.f64 x 1))) |
| ✓ | 0.2b | (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 2 (*.f64 (/.f64 (+.f64 x -1) x) (+.f64 x 1)))) |
Compiled 61 to 44 computations (27.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 (/.f64 (+.f64 x -1) x) (+.f64 x 1)) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 (+.f64 x -1) x) (+.f64 x 1)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 (+.f64 x -1) x) (+.f64 x 1)) |
| 0.0ms | x | @ | 0 | (/.f64 2 (*.f64 (/.f64 (+.f64 x -1) x) (+.f64 x 1))) |
| 0.0ms | x | @ | 0 | (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 2 (*.f64 (/.f64 (+.f64 x -1) x) (+.f64 x 1)))) |
| 1× | batch-egg-rewrite |
| 583× | fma-def_binary64 |
| 385× | log-div_binary64 |
| 367× | fma-neg_binary64 |
| 263× | expm1-udef_binary64 |
| 262× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 54 |
| 1 | 316 | 39 |
| 2 | 5004 | 39 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 2 (*.f64 (/.f64 (+.f64 x -1) x) (+.f64 x 1)))) |
(/.f64 2 (*.f64 (/.f64 (+.f64 x -1) x) (+.f64 x 1))) |
(*.f64 (/.f64 (+.f64 x -1) x) (+.f64 x 1)) |
| Outputs |
|---|
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(+.f64 x -1) x)) 2)) (cbrt.f64 (/.f64 (+.f64 x -1) x)) (/.f64 (+.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (/.f64 (+.f64 x -1) x))) (sqrt.f64 (/.f64 (+.f64 x -1) x)) (/.f64 (+.f64 x -1) x)))))) |
| 1× | egg-herbie |
| 919× | fma-neg_binary64 |
| 833× | times-frac_binary64 |
| 818× | fma-def_binary64 |
| 454× | cancel-sign-sub-inv_binary64 |
| 219× | unswap-sqr_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 451 |
| 1 | 188 | 433 |
| 2 | 545 | 431 |
| 3 | 1577 | 428 |
| 4 | 4314 | 417 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(*.f64 -2 x) |
(+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) |
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) |
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 7))))) |
(/.f64 2 x) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(/.f64 2 x) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(/.f64 -1 x) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (fma.f64 3 x 1) (*.f64 x x)) |
(fma.f64 3 x (fma.f64 x x 1)) |
(fma.f64 x (+.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))) |
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) |
(fma.f64 3 (pow.f64 x 3) (fma.f64 x (+.f64 3 x) 1)) |
(*.f64 (fma.f64 3 x 1) (fma.f64 x x 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 3 x) (/.f64 -3 (pow.f64 x 3)))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 3 x) (/.f64 -3 (pow.f64 x 3)))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))) |
(*.f64 -2 x) |
(*.f64 x -2) |
(+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) |
(*.f64 -2 (+.f64 x (pow.f64 x 3))) |
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) |
(fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) |
(*.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5)))) |
(*.f64 -2 (fma.f64 x (fma.f64 x x 1) (pow.f64 x 5))) |
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 7))))) |
(fma.f64 -2 x (fma.f64 -2 (pow.f64 x 5) (*.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 7))))) |
(fma.f64 x -2 (*.f64 -2 (+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 3) (pow.f64 x 7))))) |
(*.f64 -2 (+.f64 x (+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 3) (pow.f64 x 7))))) |
(*.f64 -2 (+.f64 (pow.f64 x 7) (fma.f64 x (fma.f64 x x 1) (pow.f64 x 5)))) |
(/.f64 2 x) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x)) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 x)) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 7))))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))) |
(/.f64 2 x) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x)) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 x)) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 7))))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))) |
(/.f64 -1 x) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 (+.f64 1 x) (*.f64 -2 x)) | |
| ✓ | 0.0b | (-.f64 (+.f64 1 x) (*.f64 -2 x)) |
Compiled 17 to 12 computations (29.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 x) (*.f64 -2 x)) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 x) (*.f64 -2 x)) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 x) (*.f64 -2 x)) |
| 1× | batch-egg-rewrite |
| 878× | pow1_binary64 |
| 824× | add-log-exp_binary64 |
| 824× | log1p-expm1-u_binary64 |
| 824× | expm1-log1p-u_binary64 |
| 810× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 160 | 7 |
| 2 | 2249 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 x) (*.f64 -2 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (*.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 1 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 1 (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) (*.f64 (*.f64 x 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x 3)) (fma.f64 (*.f64 x 2) 1 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x 3)) (fma.f64 2 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x 3)) (fma.f64 (neg.f64 x) -2 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x 3)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 x -2)) 2) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x 3)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x -2))) (sqrt.f64 (*.f64 x -2)) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (*.f64 x 3))) (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 x 3))) 2) (cbrt.f64 (+.f64 1 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (*.f64 x 3))) (sqrt.f64 (+.f64 1 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) (*.f64 -8 (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 x -2) (+.f64 (+.f64 1 x) (*.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 x x) 4)) (/.f64 1 (+.f64 (+.f64 1 x) (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 x -2))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 x -2) (+.f64 (+.f64 1 x) (*.f64 x -2)))) (-.f64 (pow.f64 (+.f64 1 x) 3) (*.f64 -8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 1 x) (*.f64 x -2)) (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 x x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) (*.f64 -8 (pow.f64 x 3))) (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 x -2) (+.f64 (+.f64 1 x) (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 x x) 4)) (+.f64 (+.f64 1 x) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) (*.f64 -8 (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 x -2) (+.f64 (+.f64 1 x) (*.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 x x) 4))) (neg.f64 (+.f64 (+.f64 1 x) (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 x 3) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (*.f64 x 2) 3)) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (*.f64 (+.f64 1 x) (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (*.f64 x 3) (*.f64 x 3))) (-.f64 1 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 x 2) (*.f64 x 2))) (-.f64 (+.f64 1 x) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (*.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (*.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (*.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (*.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (*.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 x) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) (*.f64 x 2)))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 54 |
| 1 | 11 | 54 |
| 2 | 12 | 54 |
| 1× | saturated |
| Inputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (-.f64 (/.f64 -1 x) (/.f64 2 x)) | |
| ✓ | 0.4b | (-.f64 (/.f64 -1 x) (/.f64 2 x)) |
Compiled 17 to 12 computations (29.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (-.f64 (/.f64 -1 x) (/.f64 2 x)) |
| 1.0ms | x | @ | 0 | (-.f64 (/.f64 -1 x) (/.f64 2 x)) |
| 1.0ms | x | @ | -inf | (-.f64 (/.f64 -1 x) (/.f64 2 x)) |
| 1× | batch-egg-rewrite |
| 895× | pow1_binary64 |
| 841× | add-log-exp_binary64 |
| 840× | log1p-expm1-u_binary64 |
| 840× | expm1-log1p-u_binary64 |
| 827× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 4 |
| 1 | 165 | 4 |
| 2 | 2360 | 4 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 -1 x) (/.f64 2 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 x) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 x) (*.f64 (/.f64 -2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -3 x) (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -3 x) (fma.f64 (/.f64 -2 x) 1 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -3 x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -3 x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 2 x))) (sqrt.f64 (/.f64 2 x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -3 x)) (pow.f64 (cbrt.f64 (/.f64 -3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -3 x)) 2) (cbrt.f64 (/.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -3 x)) (sqrt.f64 (/.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (neg.f64 x) (*.f64 x 2)) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 2 x) (*.f64 (/.f64 1 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 1 x) 1) (/.f64 -3 x)) (/.f64 1 (*.f64 (/.f64 1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 -1 x)) (sqrt.f64 (/.f64 2 x))) (-.f64 (sqrt.f64 (/.f64 -1 x)) (sqrt.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) (-.f64 (neg.f64 x) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 2 x) (*.f64 (/.f64 1 x) 1))) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (/.f64 1 x) 1) (*.f64 (*.f64 (/.f64 1 x) 1) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 x) (*.f64 x 2)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -3 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 2 x) (*.f64 (/.f64 1 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 1 x) 1) (/.f64 -3 x)) (*.f64 (/.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (neg.f64 x) (*.f64 x 2))) (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 2 x) (*.f64 (/.f64 1 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 (/.f64 1 x) 1) (/.f64 -3 x))) (neg.f64 (*.f64 (/.f64 1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (*.f64 (neg.f64 x) 2)) (*.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1 (*.f64 x 1/2)) x) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 1/2) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1 (neg.f64 x)) (*.f64 x -2)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 x) (*.f64 (neg.f64 x) -2)) (*.f64 (neg.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (pow.f64 (/.f64 -2 x) 3)) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (*.f64 (/.f64 -2 x) (/.f64 -2 x)) (*.f64 (/.f64 -1 x) (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 -2 x) (/.f64 -2 x))) (-.f64 (/.f64 -1 x) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (neg.f64 x) (*.f64 x 2)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 x) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 x) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (/.f64 -1 (cbrt.f64 x)) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 x)) (sqrt.f64 (/.f64 -1 x)) (/.f64 -2 x)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 48 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 -3 x) |
(/.f64 -3 x) |
(/.f64 -3 x) |
(/.f64 -3 x) |
(/.f64 -3 x) |
(/.f64 -3 x) |
(/.f64 -3 x) |
(/.f64 -3 x) |
(/.f64 -3 x) |
(/.f64 -3 x) |
(/.f64 -3 x) |
(/.f64 -3 x) |
| Outputs |
|---|
(/.f64 -3 x) |
(/.f64 -3 x) |
(/.f64 -3 x) |
(/.f64 -3 x) |
(/.f64 -3 x) |
(/.f64 -3 x) |
(/.f64 -3 x) |
(/.f64 -3 x) |
(/.f64 -3 x) |
(/.f64 -3 x) |
(/.f64 -3 x) |
(/.f64 -3 x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 (/.f64 1 x) x) | |
| 0.0b | (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) | |
| ✓ | 0.0b | (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) |
| ✓ | 0.1b | (/.f64 (/.f64 1 x) x) |
Compiled 24 to 16 computations (33.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (/.f64 1 x) x) |
| 0.0ms | x | @ | 0 | (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) |
| 0.0ms | x | @ | -inf | (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 1 x) x) |
| 0.0ms | x | @ | inf | (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) |
| 1× | batch-egg-rewrite |
| 695× | prod-diff_binary64 |
| 640× | unpow-prod-down_binary64 |
| 393× | log-prod_binary64 |
| 287× | egg-rr |
| 270× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 186 | 14 |
| 2 | 2684 | 14 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1 x) x) |
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) |
| Outputs |
|---|
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(pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 -3 x)) (/.f64 1 x)) (+.f64 (sqrt.f64 (/.f64 -3 x)) (/.f64 1 x)) (+.f64 (pow.f64 x -2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 -3 x)) (/.f64 1 x)) (+.f64 (sqrt.f64 (/.f64 -3 x)) (/.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (pow.f64 x -2))))))) |
| 1× | egg-herbie |
| 844× | div-sub_binary64 |
| 510× | distribute-neg-frac_binary64 |
| 434× | unswap-sqr_binary64 |
| 376× | times-frac_binary64 |
| 356× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 234 |
| 1 | 30 | 216 |
| 2 | 61 | 216 |
| 3 | 118 | 216 |
| 4 | 282 | 216 |
| 5 | 860 | 216 |
| 6 | 3724 | 216 |
| 7 | 7242 | 216 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
| Outputs |
|---|
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (*.f64 3 (/.f64 1 x)) | |
| 0.3b | (*.f64 (/.f64 1 x) (/.f64 1 x)) | |
| 0.0b | (+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 3 (/.f64 1 x))) | |
| ✓ | 0.0b | (+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 3 (/.f64 1 x))) |
| ✓ | 0.3b | (*.f64 (/.f64 1 x) (/.f64 1 x)) |
| 0.4b | (*.f64 3 (/.f64 1 x)) |
Compiled 46 to 35 computations (23.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 x) (/.f64 1 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1 x) (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 x) (/.f64 1 x)) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 3 (/.f64 1 x))) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 3 (/.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 869× | pow1_binary64 |
| 815× | add-log-exp_binary64 |
| 814× | log1p-expm1-u_binary64 |
| 814× | expm1-log1p-u_binary64 |
| 798× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 1 | 178 | 14 |
| 2 | 2385 | 14 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 x) (/.f64 1 x)) |
(+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 3 (/.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (cbrt.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (/.f64 x (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 x) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x -2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (pow.f64 x -2) (/.f64 3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 1 x) 4) (-.f64 (pow.f64 x -2) (/.f64 3 x))) (/.f64 (pow.f64 (/.f64 3 x) 2) (-.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 x -2) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))) 2) (cbrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (/.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (/.f64 1 x) (sqrt.f64 (/.f64 3 x))) (hypot.f64 (/.f64 1 x) (sqrt.f64 (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (+.f64 (/.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 1 x) 6) (/.f64 27 (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (/.f64 1 x) 4) (*.f64 (/.f64 3 x) (-.f64 (/.f64 3 x) (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 1 x) 4) (pow.f64 (/.f64 3 x) 2)) (/.f64 1 (-.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 x) 3) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 1 x) 4) (*.f64 (/.f64 3 x) (-.f64 (/.f64 3 x) (pow.f64 x -2)))) (+.f64 (pow.f64 (/.f64 1 x) 6) (/.f64 27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 x -2) (/.f64 3 x)) (-.f64 (pow.f64 (/.f64 1 x) 4) (pow.f64 (/.f64 3 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 1 x) 6) (/.f64 27 (pow.f64 x 3))) (+.f64 (pow.f64 (/.f64 1 x) 4) (*.f64 (/.f64 3 x) (-.f64 (/.f64 3 x) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 1 x) 6) (/.f64 27 (pow.f64 x 3))) (+.f64 (pow.f64 (/.f64 3 x) 2) (-.f64 (pow.f64 (/.f64 1 x) 4) (/.f64 3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 1 x) 4) (pow.f64 (/.f64 3 x) 2)) (-.f64 (pow.f64 x -2) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 x) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 1 x) 6) (/.f64 27 (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (/.f64 1 x) 4) (*.f64 (/.f64 3 x) (-.f64 (/.f64 3 x) (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 1 x) 4) (pow.f64 (/.f64 3 x) 2))) (neg.f64 (-.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (*.f64 x x) 3)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (/.f64 1 x) x) (*.f64 x 3)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 3 (*.f64 x x)) x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 3 x) (*.f64 x (/.f64 1 x))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 3 x) 2) (pow.f64 (/.f64 1 x) 4)) (-.f64 (/.f64 3 x) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 (/.f64 1 x) 3)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (/.f64 1 x) (sqrt.f64 (/.f64 3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x -2) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 3 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) (/.f64 1 x) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 3 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (/.f64 1 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (cbrt.f64 (/.f64 3 x)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 3 x)) (sqrt.f64 (/.f64 3 x)) (pow.f64 x -2)))))) |
| 1× | egg-herbie |
| 773× | associate-/r/_binary64 |
| 586× | sqr-pow_binary64 |
| 502× | associate-/l/_binary64 |
| 434× | unswap-sqr_binary64 |
| 366× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 216 |
| 1 | 20 | 216 |
| 2 | 29 | 216 |
| 3 | 46 | 216 |
| 4 | 93 | 216 |
| 5 | 269 | 216 |
| 6 | 1018 | 216 |
| 7 | 3056 | 216 |
| 8 | 3395 | 216 |
| 9 | 3757 | 216 |
| 10 | 4055 | 216 |
| 11 | 4440 | 216 |
| 12 | 4942 | 216 |
| 13 | 6410 | 216 |
| 14 | 7565 | 216 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(/.f64 3 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(/.f64 3 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
| Outputs |
|---|
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
(/.f64 3 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
(/.f64 3 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
Compiled 20389 to 15061 computations (26.1% saved)
13 alts after pruning (7 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 873 | 5 | 878 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 4 | 6 | 10 |
| Total | 879 | 13 | 892 |
| Status | Error | Program |
|---|---|---|
| ✓ | 32.0b | (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 2 x)) |
| ✓ | 28.6b | (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
| 32.7b | (neg.f64 (/.f64 (+.f64 (/.f64 1 x) 3) x)) | |
| 28.6b | (+.f64 (/.f64 x (+.f64 x 1)) (-.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 x (+.f64 x -1)))) | |
| ✓ | 31.3b | (-.f64 (+.f64 1 x) (*.f64 -2 x)) |
| 32.4b | (*.f64 -3 (/.f64 1 x)) | |
| ✓ | 31.1b | (-.f64 (/.f64 1 (-.f64 1 x)) (*.f64 -2 x)) |
| 32.9b | (neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (*.f64 3 (/.f64 1 x)))) | |
| 13.4b | (/.f64 (-.f64 (+.f64 1 x) (*.f64 (-.f64 1 x) (*.f64 2 (/.f64 x (+.f64 x -1))))) (*.f64 (-.f64 1 x) (+.f64 1 x))) | |
| 0.2b | (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 2 (+.f64 x (/.f64 -1 x)))) | |
| 31.0b | 1 | |
| ✓ | 31.3b | (+.f64 (*.f64 3 x) 1) |
| ✓ | 32.3b | (/.f64 -3 x) |
Compiled 140 to 108 computations (22.9% saved)
| Inputs |
|---|
1 |
1 |
(/.f64 -3 x) |
(*.f64 -3 (/.f64 1 x)) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
(-.f64 (/.f64 -1 x) (/.f64 2 x)) |
(-.f64 (+.f64 1 x) (*.f64 -2 x)) |
(+.f64 x (+.f64 (*.f64 2 x) 1)) |
(neg.f64 (/.f64 (+.f64 (/.f64 1 x) 3) x)) |
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) |
(-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 2 x)) |
(-.f64 (/.f64 1 (-.f64 1 x)) (*.f64 -2 x)) |
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) |
(+.f64 x (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (*.f64 3 (/.f64 1 x)))) |
(-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 2 (+.f64 x (/.f64 -1 x)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(neg.f64 (+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 3 (/.f64 1 x)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (-.f64 -1 x) (/.f64 1 (+.f64 x -1)))) |
(-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 2 (*.f64 (/.f64 (+.f64 x -1) x) (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (-.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 x (+.f64 x -1)))) |
(+.f64 (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (+.f64 x -1))) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 x 1)) (-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (+.f64 x -1)))) |
(-.f64 (/.f64 1 (-.f64 1 x)) (-.f64 (/.f64 x (+.f64 x -1)) (/.f64 x (+.f64 x 1)))) |
(/.f64 (-.f64 (+.f64 1 x) (*.f64 (-.f64 1 x) (*.f64 2 (/.f64 x (+.f64 x -1))))) (*.f64 (-.f64 1 x) (+.f64 1 x))) |
(-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (-.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)) (*.f64 (/.f64 (+.f64 x -1) x) (+.f64 x 1)))) |
(/.f64 (-.f64 (+.f64 x 1) (*.f64 (-.f64 1 x) (*.f64 (-.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (/.f64 x x))) (/.f64 x (+.f64 x -1))))) (*.f64 (-.f64 1 x) (+.f64 x 1))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(fma.f64 (/.f64 1 (+.f64 x -1)) (-.f64 -1 x) (/.f64 x (+.f64 x 1))) |
(/.f64 (fma.f64 (-.f64 -1 x) (+.f64 x 1) (*.f64 (+.f64 x -1) x)) (*.f64 (+.f64 x -1) (+.f64 x 1))) |
(/.f64 (/.f64 (fma.f64 (+.f64 x 1) (-.f64 -1 x) (-.f64 (*.f64 x x) x)) (+.f64 x 1)) (+.f64 x -1)) |
(/.f64 (fma.f64 (neg.f64 (-.f64 -1 x)) (+.f64 x 1) (*.f64 (-.f64 1 x) x)) (*.f64 (-.f64 1 x) (+.f64 x 1))) |
| Outputs |
|---|
(-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 2 (+.f64 x (/.f64 -1 x)))) |
3 calls:
| 18.0ms | x |
| 5.0ms | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 5.0ms | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | x |
| 0.2b | 1 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 0.2b | 1 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
Compiled 475 to 342 computations (28% saved)
| Inputs |
|---|
1 |
1 |
(/.f64 -3 x) |
(*.f64 -3 (/.f64 1 x)) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
(-.f64 (/.f64 -1 x) (/.f64 2 x)) |
(-.f64 (+.f64 1 x) (*.f64 -2 x)) |
(+.f64 x (+.f64 (*.f64 2 x) 1)) |
(neg.f64 (/.f64 (+.f64 (/.f64 1 x) 3) x)) |
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) |
(-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 2 x)) |
(-.f64 (/.f64 1 (-.f64 1 x)) (*.f64 -2 x)) |
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) |
(+.f64 x (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (*.f64 3 (/.f64 1 x)))) |
| Outputs |
|---|
(neg.f64 (/.f64 (+.f64 (/.f64 1 x) 3) x)) |
(-.f64 (/.f64 1 (-.f64 1 x)) (*.f64 -2 x)) |
(neg.f64 (/.f64 (+.f64 (/.f64 1 x) 3) x)) |
1 calls:
| 25.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 3 | x |
Compiled 109 to 80 computations (26.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.05591673386039308 | 602.3398919512077 |
| 20.0ms | -137220053.93023926 | -0.00011080884447464216 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
1 |
1 |
(/.f64 -3 x) |
(*.f64 -3 (/.f64 1 x)) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
(-.f64 (/.f64 -1 x) (/.f64 2 x)) |
(-.f64 (+.f64 1 x) (*.f64 -2 x)) |
(+.f64 x (+.f64 (*.f64 2 x) 1)) |
(neg.f64 (/.f64 (+.f64 (/.f64 1 x) 3) x)) |
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) |
(-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 2 x)) |
| Outputs |
|---|
(neg.f64 (/.f64 (+.f64 (/.f64 1 x) 3) x)) |
(+.f64 (*.f64 3 x) 1) |
(neg.f64 (/.f64 (+.f64 (/.f64 1 x) 3) x)) |
1 calls:
| 28.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 3 | x |
Compiled 70 to 52 computations (25.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 0.05591673386039308 | 602.3398919512077 |
| 20.0ms | -137220053.93023926 | -0.00011080884447464216 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
1 |
1 |
(/.f64 -3 x) |
(*.f64 -3 (/.f64 1 x)) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
(-.f64 (/.f64 -1 x) (/.f64 2 x)) |
(-.f64 (+.f64 1 x) (*.f64 -2 x)) |
(+.f64 x (+.f64 (*.f64 2 x) 1)) |
| Outputs |
|---|
(/.f64 -3 x) |
(+.f64 (*.f64 3 x) 1) |
(/.f64 -3 x) |
1 calls:
| 18.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.2b | 3 | x |
Compiled 44 to 33 computations (25% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 0.05591673386039308 | 602.3398919512077 |
| 20.0ms | -137220053.93023926 | -0.00011080884447464216 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
1 |
1 |
(/.f64 -3 x) |
(*.f64 -3 (/.f64 1 x)) |
| Outputs |
|---|
(/.f64 -3 x) |
1 |
(/.f64 -3 x) |
1 calls:
| 12.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.6b | 3 | x |
Compiled 13 to 10 computations (23.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 0.05591673386039308 | 602.3398919512077 |
| 25.0ms | -137220053.93023926 | -0.00011080884447464216 |
Compiled 18 to 13 computations (27.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0.0b (-0%)
| Inputs |
|---|
1 |
1 |
| Outputs |
|---|
1 |
1 calls:
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 31.0b | 1 | x |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
| 13× | +-commutative_binary64 |
| 9× | sub-neg_binary64 |
| 8× | *-commutative_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 160 |
| 1 | 56 | 160 |
| 2 | 79 | 152 |
| 3 | 94 | 152 |
| 4 | 101 | 152 |
| 5 | 102 | 152 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 2 (+.f64 x (/.f64 -1 x)))) |
(if (<=.f64 x -2302170484319273/16777216) (neg.f64 (/.f64 (+.f64 (/.f64 1 x) 3) x)) (if (<=.f64 x 8058450616878127/144115188075855872) (-.f64 (/.f64 1 (-.f64 1 x)) (*.f64 -2 x)) (neg.f64 (/.f64 (+.f64 (/.f64 1 x) 3) x)))) |
(if (<=.f64 x -2302170484319273/16777216) (neg.f64 (/.f64 (+.f64 (/.f64 1 x) 3) x)) (if (<=.f64 x 8058450616878127/144115188075855872) (+.f64 (*.f64 3 x) 1) (neg.f64 (/.f64 (+.f64 (/.f64 1 x) 3) x)))) |
(if (<=.f64 x -2302170484319273/16777216) (/.f64 -3 x) (if (<=.f64 x 8058450616878127/144115188075855872) (+.f64 (*.f64 3 x) 1) (/.f64 -3 x))) |
(if (<=.f64 x -2302170484319273/16777216) (/.f64 -3 x) (if (<=.f64 x 8058450616878127/144115188075855872) 1 (/.f64 -3 x))) |
1 |
| Outputs |
|---|
(-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 2 (+.f64 x (/.f64 -1 x)))) |
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 -2 (+.f64 x (/.f64 -1 x)))) |
(if (<=.f64 x -2302170484319273/16777216) (neg.f64 (/.f64 (+.f64 (/.f64 1 x) 3) x)) (if (<=.f64 x 8058450616878127/144115188075855872) (-.f64 (/.f64 1 (-.f64 1 x)) (*.f64 -2 x)) (neg.f64 (/.f64 (+.f64 (/.f64 1 x) 3) x)))) |
(if (<=.f64 x -2302170484319273/16777216) (neg.f64 (/.f64 (+.f64 (/.f64 1 x) 3) x)) (if (<=.f64 x 8058450616878127/144115188075855872) (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 2 x)) (neg.f64 (/.f64 (+.f64 (/.f64 1 x) 3) x)))) |
(if (<=.f64 x -2302170484319273/16777216) (/.f64 (+.f64 -3 (neg.f64 (/.f64 1 x))) x) (if (<=.f64 x 8058450616878127/144115188075855872) (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2)) (/.f64 (+.f64 -3 (neg.f64 (/.f64 1 x))) x))) |
(if (<=.f64 x -2302170484319273/16777216) (/.f64 (+.f64 -3 (/.f64 -1 x)) x) (if (<=.f64 x 8058450616878127/144115188075855872) (+.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2)) (/.f64 (+.f64 -3 (/.f64 -1 x)) x))) |
(if (<=.f64 x -2302170484319273/16777216) (neg.f64 (/.f64 (+.f64 (/.f64 1 x) 3) x)) (if (<=.f64 x 8058450616878127/144115188075855872) (+.f64 (*.f64 3 x) 1) (neg.f64 (/.f64 (+.f64 (/.f64 1 x) 3) x)))) |
(if (<=.f64 x -2302170484319273/16777216) (neg.f64 (/.f64 (+.f64 (/.f64 1 x) 3) x)) (if (<=.f64 x 8058450616878127/144115188075855872) (+.f64 1 (*.f64 x 3)) (neg.f64 (/.f64 (+.f64 (/.f64 1 x) 3) x)))) |
(if (<=.f64 x -2302170484319273/16777216) (/.f64 (+.f64 -3 (neg.f64 (/.f64 1 x))) x) (if (<=.f64 x 8058450616878127/144115188075855872) (+.f64 1 (*.f64 x 3)) (/.f64 (+.f64 -3 (neg.f64 (/.f64 1 x))) x))) |
(if (<=.f64 x -2302170484319273/16777216) (/.f64 (+.f64 -3 (/.f64 -1 x)) x) (if (<=.f64 x 8058450616878127/144115188075855872) (+.f64 1 (*.f64 x 3)) (/.f64 (+.f64 -3 (/.f64 -1 x)) x))) |
(if (<=.f64 x -2302170484319273/16777216) (/.f64 -3 x) (if (<=.f64 x 8058450616878127/144115188075855872) (+.f64 (*.f64 3 x) 1) (/.f64 -3 x))) |
(if (<=.f64 x -2302170484319273/16777216) (/.f64 -3 x) (if (<=.f64 x 8058450616878127/144115188075855872) (+.f64 1 (*.f64 x 3)) (/.f64 -3 x))) |
(if (<=.f64 x -2302170484319273/16777216) (/.f64 -3 x) (if (<=.f64 x 8058450616878127/144115188075855872) 1 (/.f64 -3 x))) |
1 |
Compiled 112 to 85 computations (24.1% saved)
| 2× | egg-herbie |
| 919× | fma-neg_binary64 |
| 859× | fma-neg_binary64 |
| 833× | times-frac_binary64 |
| 818× | fma-def_binary64 |
| 771× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 16 | 19 |
| 2 | 22 | 19 |
| 3 | 34 | 19 |
| 4 | 60 | 19 |
| 5 | 100 | 19 |
| 6 | 207 | 19 |
| 7 | 381 | 19 |
| 8 | 972 | 19 |
| 9 | 2302 | 19 |
| 10 | 2935 | 19 |
| 11 | 3252 | 19 |
| 12 | 4067 | 19 |
| 13 | 4363 | 19 |
| 14 | 4405 | 19 |
| 15 | 4407 | 19 |
| 16 | 4409 | 19 |
| 17 | 4419 | 19 |
| 18 | 4419 | 19 |
| 0 | 62 | 451 |
| 1 | 188 | 433 |
| 2 | 545 | 431 |
| 3 | 1577 | 428 |
| 4 | 4314 | 417 |
| 1× | node limit |
| 1× | saturated |
Compiled 362 to 274 computations (24.3% saved)
Compiled 107 to 80 computations (25.2% saved)
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