Time bar (total: 1.8s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 50% | 37.5% | 12.5% | 4 |
| 62.5% | 18.7% | 18.8% | 5 |
| 68.7% | 9.4% | 21.9% | 6 |
| 71.8% | 4.7% | 23.5% | 7 |
| 73.4% | 2.3% | 24.3% | 8 |
| 74.2% | 1.2% | 24.6% | 9 |
| 74.6% | 0.6% | 24.8% | 10 |
| 74.8% | 0.3% | 24.9% | 11 |
| 74.9% | 0.1% | 25% | 12 |
| 74.9% | 0.1% | 25.1% | 13 |
| 74.9% | 0% | 25.1% | 14 |
Compiled 15 to 12 computations (20% saved)
| 781.0ms | 8256× | body | 128 | valid |
| 0.0ms | 1× | body | 128 | invalid |
Compiled 30 to 24 computations (20% saved)
| 2× | egg-herbie |
| 972× | fma-def_binary64 |
| 722× | fma-neg_binary64 |
| 154× | cancel-sign-sub-inv_binary64 |
| 107× | distribute-rgt-in_binary64 |
| 80× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 19 |
| 1 | 33 | 14 |
| 2 | 76 | 12 |
| 3 | 182 | 12 |
| 4 | 377 | 9 |
| 5 | 542 | 9 |
| 6 | 869 | 9 |
| 7 | 1535 | 9 |
| 8 | 2446 | 9 |
| 9 | 2827 | 9 |
| 10 | 2939 | 9 |
| 11 | 3065 | 9 |
| 12 | 3071 | 9 |
| 13 | 3071 | 9 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
| Outputs |
|---|
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
(*.f64 3 (+.f64 (fma.f64 (*.f64 3 x) x (neg.f64 (*.f64 x 4))) 1)) |
(fma.f64 3 (*.f64 x (-.f64 (*.f64 3 x) 4)) 3) |
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1)) |
(fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
Compiled 14 to 11 computations (21.4% saved)
| 1× | egg-herbie |
| 972× | fma-def_binary64 |
| 722× | fma-neg_binary64 |
| 154× | cancel-sign-sub-inv_binary64 |
| 107× | distribute-rgt-in_binary64 |
| 80× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 19 |
| 1 | 33 | 14 |
| 2 | 76 | 12 |
| 3 | 182 | 12 |
| 4 | 377 | 9 |
| 5 | 542 | 9 |
| 6 | 869 | 9 |
| 7 | 1535 | 9 |
| 8 | 2446 | 9 |
| 9 | 2827 | 9 |
| 10 | 2939 | 9 |
| 11 | 3065 | 9 |
| 12 | 3071 | 9 |
| 13 | 3071 | 9 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
| Outputs |
|---|
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
(*.f64 3 (+.f64 (fma.f64 (*.f64 3 x) x (neg.f64 (*.f64 x 4))) 1)) |
(fma.f64 3 (*.f64 x (-.f64 (*.f64 3 x) 4)) 3) |
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1)) |
(fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (fma.f64 x (fma.f64 x 9 -12) 3) |
| 0.1b | (*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
Compiled 65 to 50 computations (23.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 x (fma.f64 x 9 -12) 3) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (fma.f64 x (fma.f64 x 9 -12) 3) |
| 1.0ms | x | @ | -inf | (fma.f64 x (fma.f64 x 9 -12) 3) |
| 0.0ms | x | @ | inf | (fma.f64 x (fma.f64 x 9 -12) 3) |
| 1× | batch-egg-rewrite |
| 607× | pow1_binary64 |
| 568× | add-log-exp_binary64 |
| 568× | log1p-expm1-u_binary64 |
| 568× | expm1-log1p-u_binary64 |
| 66× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 142 | 9 |
| 2 | 1495 | 9 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 x (fma.f64 x 9 -12) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (*.f64 x (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x 9 -12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fma.f64 x 9 -12)) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x 9 -12) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (fma.f64 x 9 -12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 3) 27) (+.f64 (*.f64 (*.f64 x (fma.f64 x 9 -12)) (*.f64 x (fma.f64 x 9 -12))) (-.f64 9 (*.f64 (*.f64 x (fma.f64 x 9 -12)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 x 9 -12)) (*.f64 x (fma.f64 x 9 -12))) 9) (-.f64 (*.f64 x (fma.f64 x 9 -12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 9 -12) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 9 -12) 3))))))) |
| 1× | egg-herbie |
| 621× | fma-neg_binary64 |
| 464× | cancel-sign-sub-inv_binary64 |
| 416× | distribute-rgt-neg-in_binary64 |
| 416× | fma-def_binary64 |
| 296× | distribute-lft-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 144 |
| 1 | 33 | 128 |
| 2 | 64 | 112 |
| 3 | 152 | 90 |
| 4 | 400 | 90 |
| 5 | 1211 | 90 |
| 6 | 2794 | 90 |
| 7 | 4666 | 90 |
| 1× | node limit |
| Inputs |
|---|
3 |
(-.f64 3 (*.f64 12 x)) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(*.f64 9 (pow.f64 x 2)) |
(-.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 12 x)) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(*.f64 9 (pow.f64 x 2)) |
(-.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 12 x)) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
| Outputs |
|---|
3 |
(-.f64 3 (*.f64 12 x)) |
(+.f64 3 (*.f64 -12 x)) |
(+.f64 3 (*.f64 x -12)) |
(fma.f64 x -12 3) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(+.f64 3 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 -12 x))) |
(+.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) |
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(+.f64 3 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 -12 x))) |
(+.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) |
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(-.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 12 x)) |
(+.f64 (*.f64 9 (*.f64 x x)) (*.f64 -12 x)) |
(fma.f64 9 (*.f64 x x) (*.f64 x -12)) |
(*.f64 x (-.f64 (*.f64 x 9) 12)) |
(*.f64 x (fma.f64 x 9 -12)) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(+.f64 3 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 -12 x))) |
(+.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) |
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(+.f64 3 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 -12 x))) |
(+.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) |
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(-.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 12 x)) |
(+.f64 (*.f64 9 (*.f64 x x)) (*.f64 -12 x)) |
(fma.f64 9 (*.f64 x x) (*.f64 x -12)) |
(*.f64 x (-.f64 (*.f64 x 9) 12)) |
(*.f64 x (fma.f64 x 9 -12)) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(+.f64 3 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 -12 x))) |
(+.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) |
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(+.f64 3 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 -12 x))) |
(+.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) |
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 28 | 3 | 31 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 29 | 4 | 33 |
| Status | Error | Program |
|---|---|---|
| 0.9b | (pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2) | |
| 13.8b | (/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 3) 27) (+.f64 (*.f64 (*.f64 x (fma.f64 x 9 -12)) (*.f64 x (fma.f64 x 9 -12))) (-.f64 9 (*.f64 (*.f64 x (fma.f64 x 9 -12)) 3)))) | |
| 0.1b | (*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) | |
| ▶ | 0.1b | (-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
Compiled 476 to 373 computations (21.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
| ✓ | 0.2b | (*.f64 9 (pow.f64 x 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 9 (pow.f64 x 2)) |
| 1.0ms | x | @ | inf | (*.f64 9 (pow.f64 x 2)) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
| 1× | batch-egg-rewrite |
| 494× | log-prod_binary64 |
| 395× | fma-def_binary64 |
| 203× | expm1-udef_binary64 |
| 203× | log1p-udef_binary64 |
| 193× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 23 |
| 1 | 251 | 21 |
| 2 | 3178 | 19 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 9 (pow.f64 x 2)) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 9 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 9 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 9 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9 (*.f64 x x)))))))) |
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(fma.f64 (*.f64 x 12) (fma.f64 x 12 (fma.f64 9 (*.f64 x x) 3)) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2))) (fma.f64 -12 x (*.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729 27) (/.f64 1 (fma.f64 (*.f64 9 (*.f64 x x)) (fma.f64 9 (*.f64 x x) -3) 9)) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729 27) (/.f64 1 (fma.f64 (*.f64 9 (*.f64 x x)) (fma.f64 9 (*.f64 x x) -3) 9)) (*.f64 (*.f64 x -12) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2) (*.f64 (*.f64 x x) 144)) (/.f64 1 (fma.f64 x 12 (fma.f64 9 (*.f64 x x) 3))) (fma.f64 (*.f64 x -12) 1 (*.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2) (*.f64 (*.f64 x x) 144)) (/.f64 1 (fma.f64 x 12 (fma.f64 9 (*.f64 x x) 3))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x 12))) (cbrt.f64 (*.f64 (*.f64 x x) 144)) (*.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2) (*.f64 (*.f64 x x) 144)) (/.f64 1 (fma.f64 x 12 (fma.f64 9 (*.f64 x x) 3))) (fma.f64 -12 x (*.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 9 (*.f64 (pow.f64 x 4) 81)) (/.f64 1 (+.f64 3 (*.f64 -9 (*.f64 x x)))) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 9 (*.f64 (pow.f64 x 4) 81)) (/.f64 1 (+.f64 3 (*.f64 -9 (*.f64 x x)))) (*.f64 (*.f64 x -12) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 x -12)) (cbrt.f64 (*.f64 x -12))) (cbrt.f64 (*.f64 x -12)) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) (*.f64 x -12))) (cbrt.f64 (fma.f64 9 (*.f64 x x) (*.f64 x -12)))) (cbrt.f64 (fma.f64 9 (*.f64 x x) (*.f64 x -12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -12)) (sqrt.f64 (*.f64 x -12)) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (*.f64 x 3) (sqrt.f64 (*.f64 x -12))) (hypot.f64 (*.f64 x 3) (sqrt.f64 (*.f64 x -12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) 12 (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 x 12))) (sqrt.f64 (*.f64 x 12)) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x 12) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x 3 (sqrt.f64 (*.f64 x 12))) (-.f64 (*.f64 x 3) (sqrt.f64 (*.f64 x 12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 9 (*.f64 x x) 3)) (sqrt.f64 (*.f64 x 12))) (-.f64 (sqrt.f64 (fma.f64 9 (*.f64 x x) 3)) (sqrt.f64 (*.f64 x 12))) (fma.f64 (*.f64 x -12) 1 (*.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 9 (*.f64 x x) 3)) (sqrt.f64 (*.f64 x 12))) (-.f64 (sqrt.f64 (fma.f64 9 (*.f64 x x) 3)) (sqrt.f64 (*.f64 x 12))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x 12))) (cbrt.f64 (*.f64 (*.f64 x x) 144)) (*.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 9 (*.f64 x x) 3)) (sqrt.f64 (*.f64 x 12))) (-.f64 (sqrt.f64 (fma.f64 9 (*.f64 x x) 3)) (sqrt.f64 (*.f64 x 12))) (fma.f64 -12 x (*.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 x x) 144))) (cbrt.f64 (*.f64 x 12)) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 x) x (-.f64 3 (*.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 x) x (+.f64 3 (*.f64 x -12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)) (-.f64 3 (*.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)) (+.f64 3 (*.f64 x -12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -12 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -12 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)))))))) |
| 1× | egg-herbie |
| 806× | fma-def_binary64 |
| 757× | fma-neg_binary64 |
| 415× | distribute-rgt-neg-in_binary64 |
| 350× | cancel-sign-sub-inv_binary64 |
| 293× | distribute-lft-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 48 |
| 1 | 27 | 44 |
| 2 | 52 | 40 |
| 3 | 121 | 36 |
| 4 | 331 | 36 |
| 5 | 1109 | 36 |
| 6 | 2423 | 36 |
| 7 | 4614 | 36 |
| 1× | node limit |
| Inputs |
|---|
3 |
(-.f64 3 (*.f64 12 x)) |
(*.f64 9 (pow.f64 x 2)) |
(-.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 12 x)) |
(*.f64 9 (pow.f64 x 2)) |
(-.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 12 x)) |
| Outputs |
|---|
3 |
(-.f64 3 (*.f64 12 x)) |
(+.f64 3 (*.f64 -12 x)) |
(+.f64 3 (*.f64 x -12)) |
(fma.f64 x -12 3) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(-.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 12 x)) |
(+.f64 (*.f64 9 (*.f64 x x)) (*.f64 -12 x)) |
(fma.f64 9 (*.f64 x x) (*.f64 x -12)) |
(*.f64 x (-.f64 (*.f64 x 9) 12)) |
(*.f64 x (fma.f64 x 9 -12)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(-.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 12 x)) |
(+.f64 (*.f64 9 (*.f64 x x)) (*.f64 -12 x)) |
(fma.f64 9 (*.f64 x x) (*.f64 x -12)) |
(*.f64 x (-.f64 (*.f64 x 9) 12)) |
(*.f64 x (fma.f64 x 9 -12)) |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 151 | 4 | 155 |
| Fresh | 2 | 1 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 153 | 6 | 159 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (fma.f64 x (*.f64 x 9) (-.f64 3 (*.f64 x 12))) |
| 0.1b | (*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) | |
| 13.8b | (-.f64 (+.f64 3 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729))) (*.f64 12 x)) | |
| ✓ | 0.1b | (-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
| 11.3b | (-.f64 (+.f64 3 (sqrt.f64 (*.f64 (pow.f64 x 4) 81))) (*.f64 12 x)) | |
| 0.2b | (-.f64 (+.f64 3 (pow.f64 (*.f64 x 3) 2)) (*.f64 12 x)) |
Compiled 3032 to 2038 computations (32.8% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 3 (*.f64 x 12)) |
| ✓ | 0.1b | (fma.f64 x (*.f64 x 9) (-.f64 3 (*.f64 x 12))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (fma.f64 x (*.f64 x 9) (-.f64 3 (*.f64 x 12))) |
| 0.0ms | x | @ | -inf | (fma.f64 x (*.f64 x 9) (-.f64 3 (*.f64 x 12))) |
| 0.0ms | x | @ | inf | (fma.f64 x (*.f64 x 9) (-.f64 3 (*.f64 x 12))) |
| 0.0ms | x | @ | inf | (-.f64 3 (*.f64 x 12)) |
| 0.0ms | x | @ | 0 | (-.f64 3 (*.f64 x 12)) |
| 1× | batch-egg-rewrite |
| 874× | log1p-expm1-u_binary64 |
| 874× | expm1-log1p-u_binary64 |
| 95× | add-sqr-sqrt_binary64 |
| 91× | *-un-lft-identity_binary64 |
| 91× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 195 | 21 |
| 2 | 2323 | 21 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 x (*.f64 x 9) (-.f64 3 (*.f64 x 12))) |
(-.f64 3 (*.f64 x 12)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 3 (*.f64 x -12)) (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 9)) (+.f64 3 (*.f64 x -12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 9)) 1) (+.f64 3 (*.f64 x -12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x (*.f64 x 9)) 3) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 9) (+.f64 3 (*.f64 x -12))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (*.f64 x 9)) 3) (*.f64 x 12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 9) (+.f64 3 (*.f64 x -12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x 9) (+.f64 3 (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9) (+.f64 3 (*.f64 x -12)))) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 9) (+.f64 3 (*.f64 x -12))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 9) (+.f64 3 (*.f64 x -12))) 2)) (cbrt.f64 (fma.f64 x (*.f64 x 9) (+.f64 3 (*.f64 x -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x 9) (+.f64 3 (*.f64 x -12)))) (sqrt.f64 (fma.f64 x (*.f64 x 9) (+.f64 3 (*.f64 x -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 9)) 3) (pow.f64 (+.f64 3 (*.f64 x -12)) 3)) (+.f64 (*.f64 (*.f64 x (*.f64 x 9)) (*.f64 x (*.f64 x 9))) (-.f64 (pow.f64 (+.f64 3 (*.f64 x -12)) 2) (*.f64 (*.f64 x (*.f64 x 9)) (+.f64 3 (*.f64 x -12))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x 9)) (*.f64 x (*.f64 x 9))) (pow.f64 (+.f64 3 (*.f64 x -12)) 2)) (-.f64 (*.f64 x (*.f64 x 9)) (+.f64 3 (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x 9) (+.f64 3 (*.f64 x -12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x 9) (+.f64 3 (*.f64 x -12))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9) (+.f64 3 (*.f64 x -12)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 9) (+.f64 3 (*.f64 x -12)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 9) (+.f64 3 (*.f64 x -12))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x 9) (+.f64 3 (*.f64 x -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 9) (+.f64 3 (*.f64 x -12))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 9) (+.f64 3 (*.f64 x -12))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 9) (+.f64 3 (*.f64 x -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x 9) (+.f64 3 (*.f64 x -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x 9) (+.f64 3 (*.f64 x -12)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 9) (+.f64 3 (*.f64 x -12))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (*.f64 (*.f64 x -12) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -12) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 3 (*.f64 x -12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 3 (*.f64 x -12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 3 (*.f64 x -12))) (pow.f64 (cbrt.f64 (+.f64 3 (*.f64 x -12))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 3 (*.f64 x -12))) 2) (cbrt.f64 (+.f64 3 (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 3 (*.f64 x -12))) (sqrt.f64 (+.f64 3 (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 27 (pow.f64 (*.f64 x 12) 3)) (/.f64 1 (+.f64 9 (*.f64 (*.f64 x 12) (+.f64 3 (*.f64 x 12))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 9 (*.f64 (*.f64 x x) 144)) (/.f64 1 (+.f64 3 (*.f64 x 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 9 (*.f64 (*.f64 x 12) (+.f64 3 (*.f64 x 12)))) (-.f64 27 (pow.f64 (*.f64 x 12) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 3 (*.f64 x 12)) (-.f64 9 (*.f64 (*.f64 x x) 144))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 27 (pow.f64 (*.f64 x 12) 3)) (+.f64 9 (*.f64 (*.f64 x 12) (+.f64 3 (*.f64 x 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (*.f64 (*.f64 x x) 144)) (+.f64 3 (*.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 27 (pow.f64 (*.f64 x 12) 3))) (neg.f64 (+.f64 9 (*.f64 (*.f64 x 12) (+.f64 3 (*.f64 x 12))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 9 (*.f64 (*.f64 x x) 144))) (neg.f64 (+.f64 3 (*.f64 x 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 27 (pow.f64 (*.f64 x -12) 3)) (+.f64 9 (-.f64 (*.f64 (*.f64 x -12) (*.f64 x -12)) (*.f64 3 (*.f64 x -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (*.f64 (*.f64 x -12) (*.f64 x -12))) (-.f64 3 (*.f64 x -12)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 3 (*.f64 x -12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 3 (*.f64 x -12)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 3 (*.f64 x -12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 3 (*.f64 x -12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 3 (*.f64 x -12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 3 (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 3 (*.f64 x -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 3 (*.f64 x -12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 3 (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 3 (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 3 (*.f64 x -12))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 3 (*.f64 x -12)))))))) |
| 1× | egg-herbie |
| 621× | fma-neg_binary64 |
| 463× | cancel-sign-sub-inv_binary64 |
| 417× | distribute-rgt-neg-in_binary64 |
| 416× | fma-def_binary64 |
| 293× | distribute-lft-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 216 |
| 1 | 34 | 200 |
| 2 | 64 | 166 |
| 3 | 152 | 144 |
| 4 | 397 | 144 |
| 5 | 1216 | 144 |
| 6 | 2796 | 144 |
| 7 | 4659 | 144 |
| 1× | node limit |
| Inputs |
|---|
3 |
(-.f64 3 (*.f64 12 x)) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(*.f64 9 (pow.f64 x 2)) |
(-.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 12 x)) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(*.f64 9 (pow.f64 x 2)) |
(-.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 12 x)) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
3 |
(-.f64 3 (*.f64 12 x)) |
(-.f64 3 (*.f64 12 x)) |
(-.f64 3 (*.f64 12 x)) |
(*.f64 -12 x) |
(-.f64 3 (*.f64 12 x)) |
(-.f64 3 (*.f64 12 x)) |
(-.f64 3 (*.f64 12 x)) |
(*.f64 -12 x) |
(-.f64 3 (*.f64 12 x)) |
(-.f64 3 (*.f64 12 x)) |
(-.f64 3 (*.f64 12 x)) |
| Outputs |
|---|
3 |
(-.f64 3 (*.f64 12 x)) |
(+.f64 3 (*.f64 x -12)) |
(fma.f64 x -12 3) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(+.f64 3 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 x -12))) |
(+.f64 3 (fma.f64 9 (*.f64 x x) (*.f64 x -12))) |
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(+.f64 3 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 x -12))) |
(+.f64 3 (fma.f64 9 (*.f64 x x) (*.f64 x -12))) |
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(-.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 12 x)) |
(+.f64 (*.f64 9 (*.f64 x x)) (*.f64 x -12)) |
(fma.f64 9 (*.f64 x x) (*.f64 x -12)) |
(*.f64 x (-.f64 (*.f64 x 9) 12)) |
(*.f64 x (fma.f64 x 9 -12)) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(+.f64 3 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 x -12))) |
(+.f64 3 (fma.f64 9 (*.f64 x x) (*.f64 x -12))) |
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(+.f64 3 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 x -12))) |
(+.f64 3 (fma.f64 9 (*.f64 x x) (*.f64 x -12))) |
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(-.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 12 x)) |
(+.f64 (*.f64 9 (*.f64 x x)) (*.f64 x -12)) |
(fma.f64 9 (*.f64 x x) (*.f64 x -12)) |
(*.f64 x (-.f64 (*.f64 x 9) 12)) |
(*.f64 x (fma.f64 x 9 -12)) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(+.f64 3 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 x -12))) |
(+.f64 3 (fma.f64 9 (*.f64 x x) (*.f64 x -12))) |
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(+.f64 3 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 x -12))) |
(+.f64 3 (fma.f64 9 (*.f64 x x) (*.f64 x -12))) |
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
3 |
(-.f64 3 (*.f64 12 x)) |
(+.f64 3 (*.f64 x -12)) |
(fma.f64 x -12 3) |
(-.f64 3 (*.f64 12 x)) |
(+.f64 3 (*.f64 x -12)) |
(fma.f64 x -12 3) |
(-.f64 3 (*.f64 12 x)) |
(+.f64 3 (*.f64 x -12)) |
(fma.f64 x -12 3) |
(*.f64 -12 x) |
(*.f64 x -12) |
(-.f64 3 (*.f64 12 x)) |
(+.f64 3 (*.f64 x -12)) |
(fma.f64 x -12 3) |
(-.f64 3 (*.f64 12 x)) |
(+.f64 3 (*.f64 x -12)) |
(fma.f64 x -12 3) |
(-.f64 3 (*.f64 12 x)) |
(+.f64 3 (*.f64 x -12)) |
(fma.f64 x -12 3) |
(*.f64 -12 x) |
(*.f64 x -12) |
(-.f64 3 (*.f64 12 x)) |
(+.f64 3 (*.f64 x -12)) |
(fma.f64 x -12 3) |
(-.f64 3 (*.f64 12 x)) |
(+.f64 3 (*.f64 x -12)) |
(fma.f64 x -12 3) |
(-.f64 3 (*.f64 12 x)) |
(+.f64 3 (*.f64 x -12)) |
(fma.f64 x -12 3) |
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 66 | 0 | 66 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 66 | 6 | 72 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 x (*.f64 x 9) (-.f64 3 (*.f64 x 12))) |
| ▶ | 0.1b | (*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
| 13.8b | (-.f64 (+.f64 3 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729))) (*.f64 12 x)) | |
| ✓ | 0.1b | (-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
| 11.3b | (-.f64 (+.f64 3 (sqrt.f64 (*.f64 (pow.f64 x 4) 81))) (*.f64 12 x)) | |
| 0.2b | (-.f64 (+.f64 3 (pow.f64 (*.f64 x 3) 2)) (*.f64 12 x)) |
Compiled 1097 to 839 computations (23.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
| ✓ | 0.1b | (*.f64 (*.f64 x 3) x) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | (*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
| 1.0ms | x | @ | 0 | (*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x 3) x) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x 3) x) |
| 0.0ms | x | @ | -inf | (*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
| 1× | batch-egg-rewrite |
| 707× | fma-def_binary64 |
| 400× | fma-neg_binary64 |
| 206× | log1p-udef_binary64 |
| 204× | expm1-udef_binary64 |
| 123× | add-sqr-sqrt_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 26 |
| 1 | 256 | 21 |
| 2 | 3352 | 19 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x 3) x) |
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 3) 27) (fma.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) (-.f64 9 (*.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) -9) (fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3 -4)) 3)) 3) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 3 -4)) 2) (-.f64 1 (*.f64 x (fma.f64 x 3 -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 3 -4)) 2) -1) 3) (fma.f64 x (fma.f64 x 3 -4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3 -4)) 3))) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 3 -4)) 2) (-.f64 1 (*.f64 x (fma.f64 x 3 -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 3 -4)) 2) -1)) (fma.f64 x (fma.f64 x 3 -4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 (fma.f64 x (fma.f64 x 3 -4) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.f64 x 3 -4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (fma.f64 x 3 -4)) 3 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3 -4))) 2) (*.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) (*.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 1 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4)))) (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))))) (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4)))) (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3 -4))) 2)) (cbrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 (*.f64 x (fma.f64 x 3 -4)))) (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)))))))) |
| 1× | egg-herbie |
| 631× | fma-neg_binary64 |
| 465× | cancel-sign-sub-inv_binary64 |
| 417× | distribute-rgt-neg-in_binary64 |
| 405× | fma-def_binary64 |
| 296× | distribute-lft-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 228 |
| 1 | 35 | 212 |
| 2 | 70 | 196 |
| 3 | 169 | 174 |
| 4 | 454 | 174 |
| 5 | 1419 | 174 |
| 6 | 2989 | 174 |
| 7 | 4871 | 174 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
3 |
(-.f64 3 (*.f64 12 x)) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(*.f64 9 (pow.f64 x 2)) |
(-.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 12 x)) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(*.f64 9 (pow.f64 x 2)) |
(-.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 12 x)) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
| Outputs |
|---|
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
3 |
(-.f64 3 (*.f64 12 x)) |
(+.f64 3 (*.f64 -12 x)) |
(+.f64 3 (*.f64 x -12)) |
(fma.f64 x -12 3) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(+.f64 3 (+.f64 (*.f64 (*.f64 x x) 9) (*.f64 -12 x))) |
(+.f64 3 (fma.f64 (*.f64 x x) 9 (*.f64 x -12))) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(+.f64 3 (+.f64 (*.f64 (*.f64 x x) 9) (*.f64 -12 x))) |
(+.f64 3 (fma.f64 (*.f64 x x) 9 (*.f64 x -12))) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
(-.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 12 x)) |
(+.f64 (*.f64 (*.f64 x x) 9) (*.f64 -12 x)) |
(fma.f64 (*.f64 x x) 9 (*.f64 x -12)) |
(*.f64 x (-.f64 (*.f64 x 9) 12)) |
(*.f64 x (fma.f64 x 9 -12)) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(+.f64 3 (+.f64 (*.f64 (*.f64 x x) 9) (*.f64 -12 x))) |
(+.f64 3 (fma.f64 (*.f64 x x) 9 (*.f64 x -12))) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(+.f64 3 (+.f64 (*.f64 (*.f64 x x) 9) (*.f64 -12 x))) |
(+.f64 3 (fma.f64 (*.f64 x x) 9 (*.f64 x -12))) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
(-.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 12 x)) |
(+.f64 (*.f64 (*.f64 x x) 9) (*.f64 -12 x)) |
(fma.f64 (*.f64 x x) 9 (*.f64 x -12)) |
(*.f64 x (-.f64 (*.f64 x 9) 12)) |
(*.f64 x (fma.f64 x 9 -12)) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(+.f64 3 (+.f64 (*.f64 (*.f64 x x) 9) (*.f64 -12 x))) |
(+.f64 3 (fma.f64 (*.f64 x x) 9 (*.f64 x -12))) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
(+.f64 3 (+.f64 (*.f64 (*.f64 x x) 9) (*.f64 -12 x))) |
(+.f64 3 (fma.f64 (*.f64 x x) 9 (*.f64 x -12))) |
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 55 | 1 | 56 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 56 | 6 | 62 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 x (*.f64 x 9) (-.f64 3 (*.f64 x 12))) |
| ✓ | 0.1b | (*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) |
| 13.8b | (-.f64 (+.f64 3 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729))) (*.f64 12 x)) | |
| ✓ | 0.1b | (-.f64 (+.f64 3 (*.f64 9 (pow.f64 x 2))) (*.f64 12 x)) |
| 0.2b | (-.f64 (+.f64 3 (pow.f64 (*.f64 x 3) 2)) (*.f64 12 x)) | |
| 0.1b | (fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3) |
Compiled 884 to 712 computations (19.5% saved)
Total 0.1b remaining (91.1%)
Threshold costs 0.1b (91.1%)
Compiled 653 to 477 computations (27% saved)
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 15 |
| 1 | 13 | 15 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 1 (fma.f64 9 (*.f64 x x) (*.f64 x -12)) 3) |
| Outputs |
|---|
(fma.f64 1 (fma.f64 9 (*.f64 x x) (*.f64 x -12)) 3) |
| 1× | fuel |
Compiled 98 to 77 computations (21.4% saved)
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