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)
| 752.0ms | 8256× | body | 128 | valid |
| 0.0ms | 4× | body | 128 | invalid |
| 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 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 x 9 -12) |
| ✓ | 0.1b | (fma.f64 x (fma.f64 x 9 -12) 3) |
6 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) |
| 0.0ms | x | @ | -inf | (fma.f64 x 9 -12) |
| 0.0ms | x | @ | inf | (fma.f64 x 9 -12) |
| 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 | 14 |
| 1 | 142 | 14 |
| 2 | 1495 | 14 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 x (fma.f64 x 9 -12) 3) |
(fma.f64 x 9 -12) |
| 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 log1p.f64 (expm1.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 +.f64 -12 (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 9) -12)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 9) 1) -12)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 9 -12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 9 -12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 9 -12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 9 -12)) (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2) (cbrt.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 9 -12)) (sqrt.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 9) 3) -1728) (+.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) (-.f64 144 (*.f64 (*.f64 x 9) -12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) 144) (-.f64 (*.f64 x 9) -12))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 9 -12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 9 -12) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 9 -12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 9 -12) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 9 -12))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 9 -12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 9 -12))))))) |
| 1× | egg-herbie |
| 532× | associate-*l*_binary64 |
| 494× | fma-def_binary64 |
| 434× | unswap-sqr_binary64 |
| 370× | sqr-pow_binary64 |
| 327× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 180 |
| 1 | 35 | 168 |
| 2 | 56 | 156 |
| 3 | 88 | 144 |
| 4 | 192 | 144 |
| 5 | 531 | 144 |
| 6 | 1764 | 144 |
| 7 | 3092 | 144 |
| 8 | 3297 | 144 |
| 9 | 3509 | 144 |
| 10 | 3729 | 144 |
| 11 | 4037 | 144 |
| 12 | 4437 | 144 |
| 13 | 4947 | 144 |
| 1× | node limit |
| Inputs |
|---|
3 |
(+.f64 (*.f64 -12 x) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
-12 |
(-.f64 (*.f64 9 x) 12) |
(-.f64 (*.f64 9 x) 12) |
(-.f64 (*.f64 9 x) 12) |
(*.f64 9 x) |
(-.f64 (*.f64 9 x) 12) |
(-.f64 (*.f64 9 x) 12) |
(-.f64 (*.f64 9 x) 12) |
(*.f64 9 x) |
(-.f64 (*.f64 9 x) 12) |
(-.f64 (*.f64 9 x) 12) |
(-.f64 (*.f64 9 x) 12) |
| Outputs |
|---|
3 |
(+.f64 (*.f64 -12 x) 3) |
(fma.f64 -12 x 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3)) |
(+.f64 3 (*.f64 x (fma.f64 x 9 -12))) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3)) |
(+.f64 3 (*.f64 x (fma.f64 x 9 -12))) |
(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 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3)) |
(+.f64 3 (*.f64 x (fma.f64 x 9 -12))) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3)) |
(+.f64 3 (*.f64 x (fma.f64 x 9 -12))) |
(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 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3)) |
(+.f64 3 (*.f64 x (fma.f64 x 9 -12))) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3)) |
(+.f64 3 (*.f64 x (fma.f64 x 9 -12))) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
-12 |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(fma.f64 x 9 -12) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(fma.f64 x 9 -12) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(fma.f64 x 9 -12) |
(*.f64 9 x) |
(*.f64 x 9) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(fma.f64 x 9 -12) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(fma.f64 x 9 -12) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(fma.f64 x 9 -12) |
(*.f64 9 x) |
(*.f64 x 9) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(fma.f64 x 9 -12) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(fma.f64 x 9 -12) |
(-.f64 (*.f64 9 x) 12) |
(fma.f64 9 x -12) |
(fma.f64 x 9 -12) |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 54 | 4 | 58 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 54 | 6 | 60 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 x (fma.f64 x 9 -12) 3) |
| 0.4b | (fma.f64 x (*.f64 (cbrt.f64 (fma.f64 x 9 -12)) (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2)) 3) | |
| 14.0b | (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3)) | |
| 0.8b | (pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2) | |
| 0.1b | (*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1)) | |
| ▶ | 0.1b | (+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
Compiled 751 to 591 computations (21.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
| ✓ | 0.2b | (*.f64 9 (pow.f64 x 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 9 (pow.f64 x 2)) |
| 1.0ms | x | @ | 0 | (*.f64 9 (pow.f64 x 2)) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
| 0.0ms | x | @ | -inf | (*.f64 9 (pow.f64 x 2)) |
| 1× | batch-egg-rewrite |
| 479× | log-prod_binary64 |
| 408× | fma-def_binary64 |
| 228× | fma-neg_binary64 |
| 200× | expm1-udef_binary64 |
| 200× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 21 |
| 1 | 247 | 19 |
| 2 | 3065 | 19 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 9 (pow.f64 x 2)) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
| 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 log1p.f64 (expm1.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 -.f64 (exp.f64 (log1p.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 144) (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3))) (/.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2) (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))) (pow.f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))) 2) (cbrt.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x -12 3))) (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3)) (/.f64 1 (fma.f64 (fma.f64 9 (*.f64 x x) 3) (-.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) (*.f64 (*.f64 x x) 144))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 144) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2)) (/.f64 1 (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 9 (*.f64 x x) 3) (-.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) (*.f64 (*.f64 x x) 144)) (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3)) (-.f64 (*.f64 (*.f64 x x) 144) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3)) (fma.f64 (fma.f64 9 (*.f64 x x) 3) (-.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) (*.f64 (*.f64 x x) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3)) (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2) (-.f64 (*.f64 (*.f64 x x) 144) (*.f64 x (*.f64 -12 (fma.f64 9 (*.f64 x x) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 144) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2)) (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3))) (neg.f64 (fma.f64 (fma.f64 9 (*.f64 x x) 3) (-.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) (*.f64 (*.f64 x x) 144))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 144) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2))) (neg.f64 (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x -12 3) 3) (*.f64 (pow.f64 (*.f64 x x) 3) 729)) (fma.f64 (fma.f64 x -12 3) (fma.f64 x -12 3) (-.f64 (*.f64 (pow.f64 x 4) 81) (*.f64 (fma.f64 x -12 3) (*.f64 9 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2) (*.f64 (*.f64 x x) 144)) (-.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (fma.f64 x -12 3) (fma.f64 x -12 3)) (*.f64 (pow.f64 x 4) 81)) (-.f64 (fma.f64 x -12 3) (*.f64 9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x -12 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9) (exp.f64 (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 9 (*.f64 x x)))) (exp.f64 (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x -12))) (exp.f64 (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) -12) (+.f64 1 (expm1.f64 (fma.f64 9 (*.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x -12))) (+.f64 1 (expm1.f64 (fma.f64 9 (*.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 9 (*.f64 x x) 3))) (pow.f64 (exp.f64 x) -12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 9 (*.f64 x x) 3)) (+.f64 1 (expm1.f64 (*.f64 x -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 9 (*.f64 x x) 3))) (+.f64 1 (expm1.f64 (*.f64 x -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 x -12 3)) (+.f64 1 (expm1.f64 (*.f64 9 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -12 (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 fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 9) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 (*.f64 x x)) 1 (fma.f64 x -12 3))))) (#(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 x -12) 1 (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 9 (*.f64 x x) 3) 1 (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 9 (*.f64 x x)) (fma.f64 x -12 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 1 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x -12 3) (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x -12)) (cbrt.f64 (*.f64 (*.f64 x x) 144)) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) -12) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) 9) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) (cbrt.f64 (*.f64 9 (*.f64 x x))) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) 3)) (cbrt.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2)) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2)) (cbrt.f64 (fma.f64 9 (*.f64 x x) 3)) (*.f64 x -12))))) (#(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 (*.f64 x 3) (*.f64 x 3) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -12) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 9 (*.f64 x x) 3)) (sqrt.f64 (fma.f64 9 (*.f64 x x) 3)) (*.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 (-.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 (fma.f64 x -12 3) 1 (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 x -12 3)) (cbrt.f64 (fma.f64 x -12 3))) (cbrt.f64 (fma.f64 x -12 3)) (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x -12 3)) (sqrt.f64 (fma.f64 x -12 3)) (*.f64 9 (*.f64 x x)))))) (#(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 fma.f64 (*.f64 9 x) x (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)) (fma.f64 x -12 3)))))) |
| 1× | egg-herbie |
| 545× | associate-*l*_binary64 |
| 434× | unswap-sqr_binary64 |
| 384× | fma-def_binary64 |
| 370× | sqr-pow_binary64 |
| 307× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 42 |
| 1 | 22 | 42 |
| 2 | 37 | 40 |
| 3 | 73 | 36 |
| 4 | 172 | 36 |
| 5 | 474 | 36 |
| 6 | 1712 | 36 |
| 7 | 2966 | 36 |
| 8 | 3170 | 36 |
| 9 | 3382 | 36 |
| 10 | 3602 | 36 |
| 11 | 3905 | 36 |
| 12 | 4305 | 36 |
| 13 | 4815 | 36 |
| 1× | node limit |
| Inputs |
|---|
3 |
(+.f64 (*.f64 -12 x) 3) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
| Outputs |
|---|
3 |
(+.f64 (*.f64 -12 x) 3) |
(fma.f64 -12 x 3) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 -12 x (*.f64 x (*.f64 x 9))) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.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 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 -12 x (*.f64 x (*.f64 x 9))) |
(*.f64 x (+.f64 -12 (*.f64 x 9))) |
(*.f64 x (fma.f64 x 9 -12)) |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 94 | 2 | 96 |
| Fresh | 3 | 1 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 97 | 5 | 102 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) |
| ✓ | 0.1b | (fma.f64 x (fma.f64 x 9 -12) 3) |
| 0.4b | (fma.f64 x (*.f64 (cbrt.f64 (fma.f64 x 9 -12)) (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2)) 3) | |
| ✓ | 0.1b | (+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
| 0.2b | (+.f64 (*.f64 -12 x) (+.f64 3 (pow.f64 (*.f64 x 3) 2))) |
Compiled 1642 to 1098 computations (33.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 x -12 3) |
| ✓ | 0.1b | (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) |
| 0.0ms | x | @ | inf | (fma.f64 x -12 3) |
| 0.0ms | x | @ | -inf | (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) |
| 0.0ms | x | @ | inf | (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) |
| 0.0ms | x | @ | 0 | (fma.f64 x -12 3) |
| 1× | batch-egg-rewrite |
| 670× | pow1_binary64 |
| 625× | add-log-exp_binary64 |
| 625× | log1p-expm1-u_binary64 |
| 625× | expm1-log1p-u_binary64 |
| 76× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 162 | 17 |
| 2 | 1711 | 17 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) |
(fma.f64 x -12 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x -12 3) (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9 (*.f64 x x)) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 9 (*.f64 x x)) 1) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 x -12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))) (pow.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))) 2) (cbrt.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))) (sqrt.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 9 (*.f64 x x)) 3) (pow.f64 (fma.f64 x -12 3) 3)) (+.f64 (*.f64 (*.f64 9 (*.f64 x x)) (*.f64 9 (*.f64 x x))) (-.f64 (pow.f64 (fma.f64 x -12 3) 2) (*.f64 (*.f64 9 (*.f64 x x)) (fma.f64 x -12 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 9 (*.f64 x x)) (*.f64 9 (*.f64 x x))) (pow.f64 (fma.f64 x -12 3) 2)) (-.f64 (*.f64 9 (*.f64 x x)) (fma.f64 x -12 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -12) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -12) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -12 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -12 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -12 3)) (pow.f64 (cbrt.f64 (fma.f64 x -12 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -12 3)) 2) (cbrt.f64 (fma.f64 x -12 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -12 3)) (sqrt.f64 (fma.f64 x -12 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -12) 3) 27) (+.f64 (*.f64 (*.f64 x -12) (*.f64 x -12)) (-.f64 9 (*.f64 (*.f64 x -12) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x -12) (*.f64 x -12)) 9) (-.f64 (*.f64 x -12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -12 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -12 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -12 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -12 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -12 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -12 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -12 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -12 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -12 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -12 3))))))) |
| 1× | egg-herbie |
| 534× | associate-*l*_binary64 |
| 513× | fma-def_binary64 |
| 434× | unswap-sqr_binary64 |
| 370× | sqr-pow_binary64 |
| 319× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 180 |
| 1 | 28 | 168 |
| 2 | 49 | 166 |
| 3 | 93 | 144 |
| 4 | 204 | 144 |
| 5 | 517 | 144 |
| 6 | 1763 | 144 |
| 7 | 3096 | 144 |
| 8 | 3302 | 144 |
| 9 | 3515 | 144 |
| 10 | 3735 | 144 |
| 11 | 4043 | 144 |
| 12 | 4443 | 144 |
| 13 | 4953 | 144 |
| 1× | node limit |
| Inputs |
|---|
3 |
(+.f64 (*.f64 -12 x) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
3 |
(+.f64 (*.f64 -12 x) 3) |
(+.f64 (*.f64 -12 x) 3) |
(+.f64 (*.f64 -12 x) 3) |
(*.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 (*.f64 -12 x) 3) |
(fma.f64 -12 x 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 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 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 (*.f64 x 9) -12)) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 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 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 -12 x)) |
(*.f64 x (+.f64 (*.f64 x 9) -12)) |
(*.f64 x (fma.f64 x 9 -12)) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3)) |
(fma.f64 x (fma.f64 x 9 -12) 3) |
3 |
(+.f64 (*.f64 -12 x) 3) |
(fma.f64 -12 x 3) |
(+.f64 (*.f64 -12 x) 3) |
(fma.f64 -12 x 3) |
(+.f64 (*.f64 -12 x) 3) |
(fma.f64 -12 x 3) |
(*.f64 -12 x) |
(+.f64 3 (*.f64 -12 x)) |
(fma.f64 -12 x 3) |
(+.f64 3 (*.f64 -12 x)) |
(fma.f64 -12 x 3) |
(+.f64 3 (*.f64 -12 x)) |
(fma.f64 -12 x 3) |
(*.f64 -12 x) |
(+.f64 3 (*.f64 -12 x)) |
(fma.f64 -12 x 3) |
(+.f64 3 (*.f64 -12 x)) |
(fma.f64 -12 x 3) |
(+.f64 3 (*.f64 -12 x)) |
(fma.f64 -12 x 3) |
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 56 | 0 | 56 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 56 | 5 | 61 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) |
| ✓ | 0.1b | (fma.f64 x (fma.f64 x 9 -12) 3) |
| 0.4b | (fma.f64 x (*.f64 (cbrt.f64 (fma.f64 x 9 -12)) (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2)) 3) | |
| ✓ | 0.1b | (+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
| ▶ | 0.2b | (+.f64 (*.f64 -12 x) (+.f64 3 (pow.f64 (*.f64 x 3) 2))) |
Compiled 803 to 548 computations (31.8% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 -12 x) (+.f64 3 (pow.f64 (*.f64 x 3) 2))) |
| ✓ | 0.4b | (pow.f64 (*.f64 x 3) 2) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (pow.f64 (*.f64 x 3) 2) |
| 1.0ms | x | @ | 0 | (pow.f64 (*.f64 x 3) 2) |
| 1.0ms | x | @ | -inf | (pow.f64 (*.f64 x 3) 2) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 -12 x) (+.f64 3 (pow.f64 (*.f64 x 3) 2))) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 -12 x) (+.f64 3 (pow.f64 (*.f64 x 3) 2))) |
| 1× | batch-egg-rewrite |
| 470× | log-prod_binary64 |
| 407× | fma-def_binary64 |
| 220× | fma-neg_binary64 |
| 190× | expm1-udef_binary64 |
| 190× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 231 | 19 |
| 2 | 2956 | 19 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 x 3) 2) |
(+.f64 (*.f64 -12 x) (+.f64 3 (pow.f64 (*.f64 x 3) 2))) |
| 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 (exp.f64 (*.f64 x x)) 9)) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.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 *.f64 x (*.f64 3 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 9 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (cbrt.f64 (pow.f64 (*.f64 x 3) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (*.f64 (cbrt.f64 (*.f64 x 3)) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x 3) 4)) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 3)) (*.f64 (sqrt.f64 (*.f64 x 3)) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) (sqrt.f64 (*.f64 x 3))) (sqrt.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)) (cbrt.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.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 (pow.f64 (*.f64 x 3) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 3))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 144 (*.f64 x x)) (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3))) (/.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2) (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))) (pow.f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))) 2) (cbrt.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x -12 3))) (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3)) (/.f64 1 (fma.f64 (fma.f64 9 (*.f64 x x) 3) (-.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) (*.f64 144 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 144 (*.f64 x x)) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2)) (/.f64 1 (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 9 (*.f64 x x) 3) (-.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) (*.f64 144 (*.f64 x x))) (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3)) (-.f64 (*.f64 144 (*.f64 x x)) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3)) (fma.f64 (fma.f64 9 (*.f64 x x) 3) (-.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) (*.f64 144 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3)) (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2) (-.f64 (*.f64 144 (*.f64 x x)) (*.f64 x (*.f64 -12 (fma.f64 9 (*.f64 x x) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 144 (*.f64 x x)) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2)) (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3))) (neg.f64 (fma.f64 (fma.f64 9 (*.f64 x x) 3) (-.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) (*.f64 144 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 144 (*.f64 x x)) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2))) (neg.f64 (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x -12 3) 3) (pow.f64 (*.f64 x 3) 6)) (fma.f64 (fma.f64 x -12 3) (fma.f64 x -12 3) (-.f64 (pow.f64 (*.f64 x 3) 4) (*.f64 (fma.f64 x -12 3) (*.f64 9 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2) (*.f64 144 (*.f64 x x))) (-.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (fma.f64 x -12 3) (fma.f64 x -12 3)) (pow.f64 (*.f64 x 3) 4)) (-.f64 (fma.f64 x -12 3) (*.f64 9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x -12 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9) (exp.f64 (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 9 (*.f64 x x)))) (exp.f64 (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x -12))) (exp.f64 (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) -12) (+.f64 1 (expm1.f64 (fma.f64 9 (*.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x -12))) (+.f64 1 (expm1.f64 (fma.f64 9 (*.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 9 (*.f64 x x) 3))) (pow.f64 (exp.f64 x) -12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 9 (*.f64 x x) 3)) (+.f64 1 (expm1.f64 (*.f64 x -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 9 (*.f64 x x) 3))) (+.f64 1 (expm1.f64 (*.f64 x -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 x -12 3)) (+.f64 1 (expm1.f64 (*.f64 9 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -12 (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 fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 3 (*.f64 x 3)) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 x (*.f64 x 3)) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 3) (*.f64 x 3) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 (*.f64 x x)) 1 (fma.f64 x -12 3))))) (#(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 x -12) 1 (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 9 (*.f64 x x) 3) 1 (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 9 (*.f64 x x)) (fma.f64 x -12 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 1 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x -12 3) (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x -12)) (cbrt.f64 (*.f64 144 (*.f64 x x))) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 144 (*.f64 x x))) (cbrt.f64 (*.f64 x -12)) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) -12) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) 3)) (pow.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) 3)) 2) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) 3)) 2) (cbrt.f64 (fma.f64 9 (*.f64 x x) 3)) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (cbrt.f64 (pow.f64 (*.f64 x 3) 4)) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (*.f64 (cbrt.f64 (*.f64 x 3)) (*.f64 x 3)) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x 3) 4)) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (fma.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 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -12) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 9 (*.f64 x x) 3)) (sqrt.f64 (fma.f64 9 (*.f64 x x) 3)) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 3)) (*.f64 (sqrt.f64 (*.f64 x 3)) (*.f64 x 3)) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 27 (pow.f64 (*.f64 x 3) 6)) (/.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 (-.f64 9 (pow.f64 (*.f64 x 3) 4)) (/.f64 1 (-.f64 3 (*.f64 9 (*.f64 x x)))) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x -12 3) 1 (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 3) (sqrt.f64 (*.f64 x 3))) (sqrt.f64 (*.f64 x 3)) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 x -12 3)) (cbrt.f64 (fma.f64 x -12 3))) (cbrt.f64 (fma.f64 x -12 3)) (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x -12 3)) (sqrt.f64 (fma.f64 x -12 3)) (*.f64 9 (*.f64 x x)))))) (#(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 fma.f64 (*.f64 (*.f64 x 3) x) 3 (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 3) 3) x (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)) (cbrt.f64 (*.f64 x 3)) (fma.f64 x -12 3)))))) |
| 1× | egg-herbie |
| 550× | associate-*l*_binary64 |
| 512× | fma-def_binary64 |
| 434× | unswap-sqr_binary64 |
| 370× | sqr-pow_binary64 |
| 316× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 210 |
| 1 | 28 | 198 |
| 2 | 49 | 196 |
| 3 | 94 | 174 |
| 4 | 206 | 174 |
| 5 | 553 | 174 |
| 6 | 1822 | 174 |
| 7 | 3154 | 174 |
| 8 | 3360 | 174 |
| 9 | 3572 | 174 |
| 10 | 3792 | 174 |
| 11 | 4099 | 174 |
| 12 | 4501 | 174 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
3 |
(+.f64 (*.f64 -12 x) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
| Outputs |
|---|
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
3 |
(+.f64 (*.f64 -12 x) 3) |
(fma.f64 -12 x 3) |
(fma.f64 x -12 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) |
(fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) |
(fma.f64 x (fma.f64 9 x -12) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) |
(fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) |
(fma.f64 x (fma.f64 9 x -12) 3) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 x -12)) |
(*.f64 x (+.f64 (*.f64 9 x) -12)) |
(*.f64 x (fma.f64 9 x -12)) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) |
(fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) |
(fma.f64 x (fma.f64 9 x -12) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) |
(fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) |
(fma.f64 x (fma.f64 9 x -12) 3) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(+.f64 (*.f64 -12 x) (*.f64 9 (pow.f64 x 2))) |
(fma.f64 -12 x (*.f64 9 (*.f64 x x))) |
(fma.f64 9 (*.f64 x x) (*.f64 x -12)) |
(*.f64 x (+.f64 (*.f64 9 x) -12)) |
(*.f64 x (fma.f64 9 x -12)) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) |
(fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) |
(fma.f64 x (fma.f64 9 x -12) 3) |
(+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -12 x 3) (*.f64 9 (*.f64 x x))) |
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) |
(fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) |
(fma.f64 x (fma.f64 9 x -12) 3) |
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 112 | 0 | 112 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 112 | 5 | 117 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) |
| ✓ | 0.1b | (fma.f64 x (fma.f64 x 9 -12) 3) |
| 0.4b | (fma.f64 x (*.f64 (cbrt.f64 (fma.f64 x 9 -12)) (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2)) 3) | |
| ✓ | 0.1b | (+.f64 (*.f64 -12 x) (+.f64 3 (*.f64 9 (pow.f64 x 2)))) |
| ✓ | 0.2b | (+.f64 (*.f64 -12 x) (+.f64 3 (pow.f64 (*.f64 x 3) 2))) |
Compiled 1863 to 1289 computations (30.8% saved)
Total -0.4b remaining (-413.3%)
Threshold costs -0.4b (-413.3%)
Compiled 343 to 249 computations (27.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) |
| Outputs |
|---|
(fma.f64 9 (*.f64 x x) (fma.f64 x -12 3)) |
| 1× | fuel |
Compiled 74 to 55 computations (25.7% saved)
Loading profile data...