Time bar (total: 2.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 25% | 75% | 0 |
| 25% | 0% | 75% | 1 |
Compiled 17 to 9 computations (47.1% saved)
| 1.4s | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 1274× | sqr-pow_binary64 |
| 666× | pow-sqr_binary64 |
| 635× | cube-prod_binary64 |
| 563× | fabs-mul_binary64 |
| 362× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 10 |
| 1 | 15 | 8 |
| 2 | 31 | 8 |
| 3 | 46 | 8 |
| 4 | 71 | 8 |
| 5 | 123 | 8 |
| 6 | 246 | 8 |
| 7 | 709 | 8 |
| 8 | 1405 | 8 |
| 9 | 1506 | 8 |
| 10 | 1639 | 8 |
| 11 | 1797 | 8 |
| 12 | 2036 | 8 |
| 13 | 2360 | 8 |
| 14 | 2784 | 8 |
| 15 | 3287 | 8 |
| 16 | 3887 | 8 |
| 17 | 4611 | 8 |
| 18 | 4930 | 8 |
| 19 | 5216 | 8 |
| 20 | 5440 | 8 |
| 21 | 5618 | 8 |
| 22 | 5700 | 8 |
| 23 | 6640 | 8 |
| 24 | 7614 | 8 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(fma.f64 x x (pow.f64 x 3)) |
Compiled 11 to 5 computations (54.5% saved)
| 1× | egg-herbie |
| 1274× | sqr-pow_binary64 |
| 666× | pow-sqr_binary64 |
| 635× | cube-prod_binary64 |
| 563× | fabs-mul_binary64 |
| 362× | unswap-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 10 |
| 1 | 15 | 8 |
| 2 | 31 | 8 |
| 3 | 46 | 8 |
| 4 | 71 | 8 |
| 5 | 123 | 8 |
| 6 | 246 | 8 |
| 7 | 709 | 8 |
| 8 | 1405 | 8 |
| 9 | 1506 | 8 |
| 10 | 1639 | 8 |
| 11 | 1797 | 8 |
| 12 | 2036 | 8 |
| 13 | 2360 | 8 |
| 14 | 2784 | 8 |
| 15 | 3287 | 8 |
| 16 | 3887 | 8 |
| 17 | 4611 | 8 |
| 18 | 4930 | 8 |
| 19 | 5216 | 8 |
| 20 | 5440 | 8 |
| 21 | 5618 | 8 |
| 22 | 5700 | 8 |
| 23 | 6640 | 8 |
| 24 | 7614 | 8 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(fma.f64 x x (pow.f64 x 3)) |
Compiled 16 to 7 computations (56.3% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0b | (fma.f64 x x (pow.f64 x 3)) |
| ▶ | 0.0b | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
Compiled 17 to 8 computations (52.9% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| ✓ | 0.1b | (*.f64 x (*.f64 x x)) |
Compiled 19 to 4 computations (78.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 x (*.f64 x x)) |
| 1.0ms | x | @ | -inf | (*.f64 x (*.f64 x x)) |
| 1.0ms | x | @ | inf | (*.f64 x (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 587× | pow1_binary64 |
| 553× | add-log-exp_binary64 |
| 552× | log1p-expm1-u_binary64 |
| 552× | expm1-log1p-u_binary64 |
| 539× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 1 | 116 | 12 |
| 2 | 1609 | 12 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (*.f64 x x)) |
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 3) (*.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 3) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 2) (cbrt.f64 (*.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (pow.f64 x 3/2)) (hypot.f64 x (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (/.f64 1 (-.f64 (pow.f64 x 3) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))) (+.f64 (pow.f64 x 9) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (*.f64 x x)) (-.f64 (pow.f64 x 6) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (-.f64 (pow.f64 x 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4))) (neg.f64 (-.f64 (pow.f64 x 3) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (-.f64 (*.f64 x x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x 3) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (*.f64 x x)))))) |
| 1× | egg-herbie |
| 1262× | fma-def_binary64 |
| 944× | sqr-pow_binary64 |
| 536× | unswap-sqr_binary64 |
| 503× | cube-prod_binary64 |
| 463× | fabs-mul_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 150 |
| 1 | 20 | 132 |
| 2 | 44 | 132 |
| 3 | 81 | 132 |
| 4 | 220 | 132 |
| 5 | 925 | 132 |
| 6 | 2623 | 132 |
| 7 | 3374 | 132 |
| 8 | 3667 | 132 |
| 9 | 3991 | 132 |
| 10 | 4401 | 132 |
| 11 | 4974 | 132 |
| 12 | 5633 | 132 |
| 13 | 6362 | 132 |
| 14 | 6942 | 132 |
| 15 | 7270 | 132 |
| 16 | 7544 | 132 |
| 17 | 7715 | 132 |
| 18 | 7808 | 132 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
| Outputs |
|---|
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 3) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
Compiled 12 to 7 computations (41.7% saved)
Compiled 601 to 309 computations (48.6% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 54 | 2 | 56 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 54 | 4 | 58 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (*.f64 (+.f64 x 1) (*.f64 x x)) |
| ✓ | 0.0b | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| ▶ | 1.3b | (*.f64 x x) |
| ✓ | 0b | (fma.f64 x x (pow.f64 x 3)) |
Compiled 29 to 15 computations (48.3% saved)
Compiled 5 to 2 computations (60% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 x 1) (*.f64 x x)) |
Compiled 16 to 8 computations (50% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (+.f64 x 1) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 (+.f64 x 1) (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 (+.f64 x 1) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 589× | pow1_binary64 |
| 550× | log1p-expm1-u_binary64 |
| 550× | expm1-log1p-u_binary64 |
| 549× | add-log-exp_binary64 |
| 536× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 125 | 10 |
| 2 | 1605 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 x 1) (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 3) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 x x)) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (*.f64 x x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 x) (*.f64 (log.f64 x) 2))))))) |
| 1× | egg-herbie |
| 1262× | fma-def_binary64 |
| 944× | sqr-pow_binary64 |
| 536× | unswap-sqr_binary64 |
| 503× | cube-prod_binary64 |
| 464× | fabs-mul_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 102 |
| 1 | 20 | 84 |
| 2 | 44 | 84 |
| 3 | 81 | 84 |
| 4 | 219 | 84 |
| 5 | 913 | 84 |
| 6 | 2613 | 84 |
| 7 | 3364 | 84 |
| 8 | 3658 | 84 |
| 9 | 3982 | 84 |
| 10 | 4392 | 84 |
| 11 | 4965 | 84 |
| 12 | 5622 | 84 |
| 13 | 6351 | 84 |
| 14 | 6927 | 84 |
| 15 | 7255 | 84 |
| 16 | 7529 | 84 |
| 17 | 7704 | 84 |
| 18 | 7799 | 84 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
| Outputs |
|---|
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
Compiled 197 to 116 computations (41.1% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 21 | 1 | 22 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 2 | 3 |
| Total | 22 | 4 | 26 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 x 1) (*.f64 x x)) |
| ✓ | 0.0b | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| ✓ | 1.3b | (*.f64 x x) |
| ▶ | 0.0b | (/.f64 (*.f64 (fma.f64 x x -1) (*.f64 x x)) (+.f64 x -1)) |
Compiled 35 to 19 computations (45.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (fma.f64 x x -1) (*.f64 x x)) |
| ✓ | 0.0b | (/.f64 (*.f64 (fma.f64 x x -1) (*.f64 x x)) (+.f64 x -1)) |
Compiled 33 to 16 computations (51.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 (fma.f64 x x -1) (*.f64 x x)) (+.f64 x -1)) |
| 1.0ms | x | @ | -inf | (*.f64 (fma.f64 x x -1) (*.f64 x x)) |
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 (fma.f64 x x -1) (*.f64 x x)) (+.f64 x -1)) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 (fma.f64 x x -1) (*.f64 x x)) (+.f64 x -1)) |
| 0.0ms | x | @ | inf | (*.f64 (fma.f64 x x -1) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 992× | pow1_binary64 |
| 926× | add-log-exp_binary64 |
| 926× | log1p-expm1-u_binary64 |
| 926× | expm1-log1p-u_binary64 |
| 90× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 1 | 175 | 21 |
| 2 | 2511 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (fma.f64 x x -1) (*.f64 x x)) (+.f64 x -1)) |
(*.f64 (fma.f64 x x -1) (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 1) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -1) (/.f64 1 (/.f64 (/.f64 (+.f64 x -1) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -1) (*.f64 (*.f64 x x) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x (fma.f64 x x -1))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 x 1) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (*.f64 x x))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (*.f64 x x))) 2) (cbrt.f64 (*.f64 (+.f64 x 1) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x -1) 2))) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x x -1)))) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (*.f64 x x))) (sqrt.f64 (*.f64 (+.f64 x 1) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (fma.f64 x x -1))) (*.f64 (*.f64 x (sqrt.f64 (fma.f64 x x -1))) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x x -1) (neg.f64 (*.f64 x x))) (/.f64 1 (neg.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1)) (*.f64 x (*.f64 x (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 x x -1)) (*.f64 x (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x x -1) 1) (/.f64 (*.f64 x x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x -1) 2))) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x x -1)))) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 (fma.f64 x x -1))) 1) (/.f64 (*.f64 x (sqrt.f64 (fma.f64 x x -1))) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) 1) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x x -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (fma.f64 x x -1) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (*.f64 x (*.f64 x (fma.f64 x x -1))) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x -1) 2))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (*.f64 (+.f64 x 1) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (*.f64 x (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x x -1) (sqrt.f64 (+.f64 x -1))) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 x -1))) (/.f64 (fma.f64 x x -1) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1))) (/.f64 (*.f64 x (*.f64 x (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x -1) 2))) (sqrt.f64 (+.f64 x -1))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1))) (/.f64 x (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 x x -1))) (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 (*.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 x x -1))) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x 1) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x 1) (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (+.f64 x 1) (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 x x -1))) (neg.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x 1) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 x 1) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 1) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x x -1))) 3) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x 1) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x 1) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x 1) (*.f64 x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 4) (*.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (fma.f64 x x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x x -1))))))))) |
| 1× | egg-herbie |
| 786× | fma-neg_binary64 |
| 699× | cancel-sign-sub-inv_binary64 |
| 535× | associate-*l*_binary64 |
| 513× | distribute-rgt-neg-in_binary64 |
| 478× | distribute-lft-neg-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 215 |
| 1 | 31 | 188 |
| 2 | 73 | 188 |
| 3 | 169 | 188 |
| 4 | 621 | 188 |
| 5 | 3357 | 188 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)) |
(pow.f64 x 4) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)) |
(pow.f64 x 4) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)) |
| Outputs |
|---|
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(pow.f64 x 3) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)) |
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4)) |
(-.f64 (pow.f64 x 4) (*.f64 x x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)) |
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4)) |
(-.f64 (pow.f64 x 4) (*.f64 x x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)) |
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4)) |
(-.f64 (pow.f64 x 4) (*.f64 x x)) |
(pow.f64 x 4) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)) |
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4)) |
(-.f64 (pow.f64 x 4) (*.f64 x x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)) |
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4)) |
(-.f64 (pow.f64 x 4) (*.f64 x x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)) |
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4)) |
(-.f64 (pow.f64 x 4) (*.f64 x x)) |
(pow.f64 x 4) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)) |
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4)) |
(-.f64 (pow.f64 x 4) (*.f64 x x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)) |
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4)) |
(-.f64 (pow.f64 x 4) (*.f64 x x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)) |
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4)) |
(-.f64 (pow.f64 x 4) (*.f64 x x)) |
Compiled 1061 to 682 computations (35.7% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 73 | 1 | 74 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 3 | 3 |
| Total | 74 | 4 | 78 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 x 1) (*.f64 x x)) |
| ✓ | 0.0b | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| ▶ | 0.4b | (/.f64 (*.f64 x (neg.f64 x)) (+.f64 x -1)) |
| ✓ | 1.3b | (*.f64 x x) |
Compiled 31 to 17 computations (45.2% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (*.f64 x (neg.f64 x)) (+.f64 x -1)) |
Compiled 20 to 9 computations (55% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 x (neg.f64 x)) (+.f64 x -1)) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 x (neg.f64 x)) (+.f64 x -1)) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 x (neg.f64 x)) (+.f64 x -1)) |
| 1× | batch-egg-rewrite |
| 706× | pow1_binary64 |
| 661× | add-log-exp_binary64 |
| 658× | log1p-expm1-u_binary64 |
| 658× | expm1-log1p-u_binary64 |
| 648× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 12 |
| 1 | 156 | 10 |
| 2 | 2447 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 x -1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 x x) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (/.f64 -1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 x x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 -1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x -1))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x -1))) 2) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 -1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (+.f64 x -1))) (/.f64 x (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 x 1)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1))) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) (sqrt.f64 (+.f64 x -1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 x x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 x x)) (log1p.f64 x))))))) |
| 1× | egg-herbie |
| 861× | fma-def_binary64 |
| 576× | associate-*l*_binary64 |
| 518× | fma-neg_binary64 |
| 477× | associate-*r*_binary64 |
| 468× | times-frac_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 130 |
| 1 | 68 | 124 |
| 2 | 171 | 114 |
| 3 | 485 | 114 |
| 4 | 1672 | 112 |
| 5 | 5302 | 112 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 2) (pow.f64 x 3))) |
(+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 2) (pow.f64 x 3)))) |
(*.f64 -1 x) |
(-.f64 (*.f64 -1 x) 1) |
(-.f64 (*.f64 -1 x) (+.f64 1 (/.f64 1 x))) |
(-.f64 (*.f64 -1 x) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) |
(*.f64 -1 x) |
(-.f64 (*.f64 -1 x) 1) |
(-.f64 (*.f64 -1 x) (+.f64 1 (/.f64 1 x))) |
(-.f64 (*.f64 -1 x) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) |
| Outputs |
|---|
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) (pow.f64 x 3)) |
(+.f64 (*.f64 x x) (pow.f64 x 3)) |
(fma.f64 x x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x x)) |
(+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 2) (pow.f64 x 3))) |
(+.f64 (+.f64 (pow.f64 x 4) (*.f64 x x)) (pow.f64 x 3)) |
(+.f64 (fma.f64 x x (pow.f64 x 3)) (pow.f64 x 4)) |
(fma.f64 x (fma.f64 x x x) (pow.f64 x 4)) |
(*.f64 x (fma.f64 x (fma.f64 x x x) x)) |
(+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 2) (pow.f64 x 3)))) |
(+.f64 (+.f64 (+.f64 (pow.f64 x 4) (*.f64 x x)) (pow.f64 x 3)) (pow.f64 x 5)) |
(+.f64 (fma.f64 x x (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (pow.f64 x 5))) |
(+.f64 (pow.f64 x 4) (fma.f64 x (fma.f64 x x x) (pow.f64 x 5))) |
(fma.f64 x (fma.f64 x (fma.f64 x x x) x) (pow.f64 x 5)) |
(*.f64 -1 x) |
(neg.f64 x) |
(-.f64 (*.f64 -1 x) 1) |
(fma.f64 -1 x -1) |
(fma.f64 x -1 -1) |
(-.f64 -1 x) |
(-.f64 (*.f64 -1 x) (+.f64 1 (/.f64 1 x))) |
(-.f64 (fma.f64 -1 x -1) (/.f64 1 x)) |
(-.f64 (fma.f64 x -1 -1) (/.f64 1 x)) |
(-.f64 (+.f64 -1 (/.f64 -1 x)) x) |
(-.f64 (-.f64 -1 (/.f64 1 x)) x) |
(-.f64 (/.f64 -1 x) (+.f64 x 1)) |
(-.f64 (*.f64 -1 x) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) |
(-.f64 (fma.f64 -1 x -1) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(-.f64 (fma.f64 x -1 -1) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(-.f64 (-.f64 -1 x) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 -1 (+.f64 (-.f64 (/.f64 -1 x) x) (/.f64 -1 (*.f64 x x)))) |
(*.f64 -1 x) |
(neg.f64 x) |
(-.f64 (*.f64 -1 x) 1) |
(fma.f64 -1 x -1) |
(fma.f64 x -1 -1) |
(-.f64 -1 x) |
(-.f64 (*.f64 -1 x) (+.f64 1 (/.f64 1 x))) |
(-.f64 (fma.f64 -1 x -1) (/.f64 1 x)) |
(-.f64 (fma.f64 x -1 -1) (/.f64 1 x)) |
(-.f64 (+.f64 -1 (/.f64 -1 x)) x) |
(-.f64 (-.f64 -1 (/.f64 1 x)) x) |
(-.f64 (/.f64 -1 x) (+.f64 x 1)) |
(-.f64 (*.f64 -1 x) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) |
(-.f64 (fma.f64 -1 x -1) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(-.f64 (fma.f64 x -1 -1) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(-.f64 (-.f64 -1 x) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 -1 (+.f64 (-.f64 (/.f64 -1 x) x) (/.f64 -1 (*.f64 x x)))) |
Compiled 539 to 336 computations (37.7% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 50 | 1 | 51 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 50 | 5 | 55 |
| Status | Error | Program |
|---|---|---|
| 61.1b | (neg.f64 x) | |
| ✓ | 0.0b | (*.f64 (+.f64 x 1) (*.f64 x x)) |
| ✓ | 0.0b | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| ✓ | 0.4b | (/.f64 (*.f64 x (neg.f64 x)) (+.f64 x -1)) |
| ✓ | 1.3b | (*.f64 x x) |
Compiled 34 to 19 computations (44.1% saved)
| Inputs |
|---|
(neg.f64 x) |
(*.f64 x x) |
(*.f64 (+.f64 x 1) (*.f64 x x)) |
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 x -1)) |
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(/.f64 (*.f64 (fma.f64 x x -1) (*.f64 x x)) (+.f64 x -1)) |
(fma.f64 x x (pow.f64 x 3)) |
| Outputs |
|---|
(fma.f64 x x (pow.f64 x 3)) |
2 calls:
| 4.0ms | x |
| 3.0ms | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0b | 1 | x |
| 0b | 1 | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
Compiled 60 to 26 computations (56.7% saved)
| Inputs |
|---|
(neg.f64 x) |
(*.f64 x x) |
(*.f64 (+.f64 x 1) (*.f64 x x)) |
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 x -1)) |
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(/.f64 (*.f64 (fma.f64 x x -1) (*.f64 x x)) (+.f64 x -1)) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
2 calls:
| 4.0ms | x |
| 3.0ms | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
Compiled 54 to 23 computations (57.4% saved)
| Inputs |
|---|
(neg.f64 x) |
(*.f64 x x) |
(*.f64 (+.f64 x 1) (*.f64 x x)) |
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 x -1)) |
| Outputs |
|---|
(*.f64 (+.f64 x 1) (*.f64 x x)) |
1 calls:
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
Compiled 23 to 11 computations (52.2% saved)
Total -59.8b remaining (-4757.4%)
Threshold costs -59.8b (-4757.4%)
| Inputs |
|---|
(neg.f64 x) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 x x) |
1 calls:
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.3b | 1 | x |
Compiled 8 to 4 computations (50% saved)
| 1× | egg-herbie |
| 3× | +-commutative_binary64 |
| 3× | *-commutative_binary64 |
| 1× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 38 |
| 1 | 21 | 38 |
| 2 | 23 | 38 |
| 3 | 24 | 38 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x x (pow.f64 x 3)) |
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(*.f64 (+.f64 x 1) (*.f64 x x)) |
(*.f64 x x) |
(neg.f64 x) |
| Outputs |
|---|
(fma.f64 x x (pow.f64 x 3)) |
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) |
(*.f64 (+.f64 x 1) (*.f64 x x)) |
(*.f64 (*.f64 x x) (+.f64 x 1)) |
(*.f64 x x) |
(neg.f64 x) |
Compiled 32 to 17 computations (46.9% saved)
| 1× | egg-herbie |
| 1274× | sqr-pow_binary64 |
| 666× | pow-sqr_binary64 |
| 635× | cube-prod_binary64 |
| 563× | fabs-mul_binary64 |
| 362× | unswap-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 10 |
| 1 | 15 | 8 |
| 2 | 31 | 8 |
| 3 | 46 | 8 |
| 4 | 71 | 8 |
| 5 | 123 | 8 |
| 6 | 246 | 8 |
| 7 | 709 | 8 |
| 8 | 1405 | 8 |
| 9 | 1506 | 8 |
| 10 | 1639 | 8 |
| 11 | 1797 | 8 |
| 12 | 2036 | 8 |
| 13 | 2360 | 8 |
| 14 | 2784 | 8 |
| 15 | 3287 | 8 |
| 16 | 3887 | 8 |
| 17 | 4611 | 8 |
| 18 | 4930 | 8 |
| 19 | 5216 | 8 |
| 20 | 5440 | 8 |
| 21 | 5618 | 8 |
| 22 | 5700 | 8 |
| 23 | 6640 | 8 |
| 24 | 7614 | 8 |
| 1× | node limit |
Compiled 36 to 16 computations (55.6% saved)
Compiled 28 to 11 computations (60.7% saved)
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