Time bar (total: 1.7s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 0% | 50% | 50% | 3 |
| 25% | 25% | 50% | 4 |
| 37.5% | 12.5% | 50% | 5 |
| 43.7% | 6.2% | 50% | 6 |
| 46.9% | 3.1% | 50% | 7 |
| 48.4% | 1.6% | 50% | 8 |
| 49.2% | 0.8% | 50% | 9 |
| 49.6% | 0.4% | 50% | 10 |
| 49.8% | 0.2% | 50% | 11 |
| 49.9% | 0.1% | 50% | 12 |
Compiled 8 to 6 computations (25% saved)
| 899.0ms | 8256× | body | 256 | valid |
| 0.0ms | 5× | body | 256 | invalid |
| 2× | egg-herbie |
| 600× | unsub-neg_binary64 |
| 586× | distribute-rgt-out--_binary64 |
| 492× | fma-neg_binary64 |
| 430× | distribute-neg-in_binary64 |
| 411× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 13 | 9 |
| 2 | 20 | 9 |
| 3 | 31 | 9 |
| 4 | 48 | 9 |
| 5 | 76 | 9 |
| 6 | 123 | 9 |
| 7 | 340 | 9 |
| 8 | 707 | 9 |
| 9 | 1496 | 9 |
| 10 | 2853 | 9 |
| 11 | 4280 | 9 |
| 12 | 5252 | 9 |
| 13 | 5562 | 9 |
| 14 | 5866 | 9 |
| 15 | 5962 | 9 |
| 16 | 6040 | 9 |
| 17 | 6308 | 9 |
| 18 | 7254 | 9 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
| Outputs |
|---|
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
| 600× | unsub-neg_binary64 |
| 586× | distribute-rgt-out--_binary64 |
| 492× | fma-neg_binary64 |
| 430× | distribute-neg-in_binary64 |
| 411× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 13 | 9 |
| 2 | 20 | 9 |
| 3 | 31 | 9 |
| 4 | 48 | 9 |
| 5 | 76 | 9 |
| 6 | 123 | 9 |
| 7 | 340 | 9 |
| 8 | 707 | 9 |
| 9 | 1496 | 9 |
| 10 | 2853 | 9 |
| 11 | 4280 | 9 |
| 12 | 5252 | 9 |
| 13 | 5562 | 9 |
| 14 | 5866 | 9 |
| 15 | 5962 | 9 |
| 16 | 6040 | 9 |
| 17 | 6308 | 9 |
| 18 | 7254 | 9 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
| Outputs |
|---|
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
Compiled 7 to 5 computations (28.6% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
Compiled 7 to 5 computations (28.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
Compiled 17 to 8 computations (52.9% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 1.0ms | x | @ | 0 | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 1.0ms | x | @ | -inf | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 1× | batch-egg-rewrite |
| 580× | pow1_binary64 |
| 544× | add-log-exp_binary64 |
| 543× | log1p-expm1-u_binary64 |
| 543× | expm1-log1p-u_binary64 |
| 531× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 126 | 9 |
| 2 | 1548 | 9 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2)))))) |
| 1× | egg-herbie |
| 698× | associate-*l*_binary64 |
| 633× | fma-def_binary64 |
| 591× | distribute-neg-frac_binary64 |
| 560× | associate-*r*_binary64 |
| 223× | associate-/l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 276 |
| 1 | 151 | 256 |
| 2 | 460 | 244 |
| 3 | 1607 | 238 |
| 4 | 6771 | 238 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4))))) |
(*.f64 (sqrt.f64 -1) x) |
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) |
(*.f64 -1 (*.f64 (sqrt.f64 -1) x)) |
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4)))) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (*.f64 -1/8 (pow.f64 x 4))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (*.f64 -1/8 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (fma.f64 -1/16 (pow.f64 x 6) (*.f64 -1/8 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 4) (fma.f64 -1/16 (pow.f64 x 6) (*.f64 -1/2 (*.f64 x x))))) |
(fma.f64 -1/8 (pow.f64 x 4) (fma.f64 -1/16 (pow.f64 x 6) (fma.f64 x (*.f64 -1/2 x) 1))) |
(*.f64 (sqrt.f64 -1) x) |
(*.f64 x (sqrt.f64 -1)) |
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) |
(+.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) |
(fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) |
(+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (fma.f64 x (sqrt.f64 -1) (/.f64 -1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))))) |
(+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (fma.f64 x (sqrt.f64 -1) (/.f64 1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))) |
(+.f64 (*.f64 x (sqrt.f64 -1)) (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 1/8 (*.f64 x x)) 1/2))) |
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) |
(+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (-.f64 (+.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) |
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (fma.f64 x (sqrt.f64 -1) (/.f64 -1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))))) |
(+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))) |
(-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (*.f64 (/.f64 -1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 1/8 (*.f64 x x)) 1/2))) |
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 1/8 (*.f64 x x)) 1/2))) |
(*.f64 -1 (*.f64 (sqrt.f64 -1) x)) |
(neg.f64 (*.f64 x (sqrt.f64 -1))) |
(*.f64 x (neg.f64 (sqrt.f64 -1))) |
(*.f64 (sqrt.f64 -1) (neg.f64 x)) |
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))) |
(-.f64 (neg.f64 (*.f64 x (sqrt.f64 -1))) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) |
(fma.f64 (neg.f64 (sqrt.f64 -1)) x (/.f64 -1/2 (*.f64 x (sqrt.f64 -1)))) |
(-.f64 (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))) (*.f64 x (sqrt.f64 -1))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))) |
(+.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (-.f64 (neg.f64 (*.f64 x (sqrt.f64 -1))) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))) |
(fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (fma.f64 (neg.f64 (sqrt.f64 -1)) x (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))))) |
(-.f64 (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))) |
(-.f64 (+.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (neg.f64 (*.f64 x (sqrt.f64 -1)))) (+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))) |
(-.f64 (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (fma.f64 (neg.f64 (sqrt.f64 -1)) x (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) |
(+.f64 (-.f64 (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))) (/.f64 -1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) |
(-.f64 (*.f64 (/.f64 -1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 1/8 (*.f64 x x)) 1/2)) (fma.f64 x (sqrt.f64 -1) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))) |
Compiled 606 to 461 computations (23.9% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 43 | 2 | 45 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 43 | 3 | 46 |
| Status | Error | Program |
|---|---|---|
| 0.5b | 1 | |
| ▶ | 0b | (exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2)) |
| ✓ | 0.0b | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
Compiled 18 to 14 computations (22.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2) |
| ✓ | 0.0b | (log1p.f64 (*.f64 x (neg.f64 x))) |
Compiled 29 to 10 computations (65.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (log1p.f64 (*.f64 x (neg.f64 x))) |
| 1.0ms | x | @ | inf | (log1p.f64 (*.f64 x (neg.f64 x))) |
| 1.0ms | x | @ | -inf | (log1p.f64 (*.f64 x (neg.f64 x))) |
| 0.0ms | x | @ | inf | (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2) |
| 0.0ms | x | @ | 0 | (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2) |
| 1× | batch-egg-rewrite |
| 508× | pow1_binary64 |
| 494× | add-sqr-sqrt_binary64 |
| 469× | add-log-exp_binary64 |
| 468× | expm1-log1p-u_binary64 |
| 467× | log1p-expm1-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 1 | 142 | 15 |
| 2 | 1686 | 15 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (*.f64 x (neg.f64 x))) |
(*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 x x))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x x))) 2) (cbrt.f64 (log1p.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 x x))) (sqrt.f64 (log1p.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (*.f64 x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log1p.f64 (*.f64 x x)) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log1p.f64 (*.f64 x x)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log1p.f64 (*.f64 x x)) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (*.f64 x x)) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log1p.f64 (*.f64 x x)) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 (log1p.f64 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (+.f64 1 (*.f64 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log1p.f64 (*.f64 x x)) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log1p.f64 (*.f64 x x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (log1p.f64 (*.f64 x x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log1p.f64 (*.f64 x x)) 1/2))))))) |
| 1× | egg-herbie |
| 623× | associate-*l*_binary64 |
| 449× | fma-neg_binary64 |
| 441× | associate-*r*_binary64 |
| 411× | associate-+l-_binary64 |
| 366× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 577 |
| 1 | 233 | 548 |
| 2 | 679 | 533 |
| 3 | 2258 | 524 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (*.f64 -1 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 (*.f64 -1/3 (pow.f64 x 6)) (*.f64 -1 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 (*.f64 -1/3 (pow.f64 x 6)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 8))))) |
(+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6)))))) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) |
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6)))))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 6)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4)))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 8)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4))))) |
(*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))) |
(-.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/6 (/.f64 1 (pow.f64 x 6)))))) |
(*.f64 1/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(-.f64 (*.f64 1/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 1/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (*.f64 1/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/6 (/.f64 1 (pow.f64 x 6)))))) |
| Outputs |
|---|
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (*.f64 -1 (pow.f64 x 2))) |
(fma.f64 -1/2 (pow.f64 x 4) (neg.f64 (*.f64 x x))) |
(-.f64 (*.f64 -1/2 (pow.f64 x 4)) (*.f64 x x)) |
(fma.f64 -1/2 (pow.f64 x 4) (*.f64 x (neg.f64 x))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 (*.f64 -1/3 (pow.f64 x 6)) (*.f64 -1 (pow.f64 x 2)))) |
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (neg.f64 (*.f64 x x)))) |
(fma.f64 -1/2 (pow.f64 x 4) (-.f64 (*.f64 -1/3 (pow.f64 x 6)) (*.f64 x x))) |
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (*.f64 x (neg.f64 x)))) |
(-.f64 (fma.f64 -1/2 (pow.f64 x 4) (*.f64 -1/3 (pow.f64 x 6))) (*.f64 x x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 (*.f64 -1/3 (pow.f64 x 6)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 8))))) |
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (fma.f64 -1 (*.f64 x x) (*.f64 -1/4 (pow.f64 x 8))))) |
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (-.f64 (*.f64 -1/4 (pow.f64 x 8)) (*.f64 x x)))) |
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (fma.f64 -1/4 (pow.f64 x 8) (*.f64 x (neg.f64 x))))) |
(fma.f64 -1/3 (pow.f64 x 6) (fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/4 (pow.f64 x 8) (*.f64 x (neg.f64 x))))) |
(+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 -1) (*.f64 -2 (neg.f64 (log.f64 x)))) |
(fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1)) |
(+.f64 (log.f64 -1) (*.f64 2 (log.f64 x))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (log.f64 -1) (-.f64 (*.f64 -2 (neg.f64 (log.f64 x))) (/.f64 1 (*.f64 x x)))) |
(+.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1)) (/.f64 -1 (*.f64 x x))) |
(+.f64 (log.f64 -1) (+.f64 (*.f64 2 (log.f64 x)) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (log.f64 -1) (fma.f64 2 (log.f64 x) (/.f64 -1 (*.f64 x x)))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (log.f64 -1) (-.f64 (*.f64 -2 (neg.f64 (log.f64 x))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/2 (pow.f64 x 4))))) |
(+.f64 (-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1)) (/.f64 1/2 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))) |
(+.f64 (log.f64 -1) (+.f64 (*.f64 2 (log.f64 x)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1/2 (pow.f64 x 4))))) |
(+.f64 (log.f64 -1) (+.f64 (fma.f64 2 (log.f64 x) (/.f64 -1 (*.f64 x x))) (/.f64 -1/2 (pow.f64 x 4)))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6)))))) |
(+.f64 (log.f64 -1) (-.f64 (*.f64 -2 (neg.f64 (log.f64 x))) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/2 (pow.f64 x 4))) (/.f64 1/3 (pow.f64 x 6))))) |
(-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1)) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1/3 (pow.f64 x 6))))) |
(+.f64 (log.f64 -1) (+.f64 (*.f64 2 (log.f64 x)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1/2 (pow.f64 x 4)) (/.f64 -1/3 (pow.f64 x 6)))))) |
(+.f64 (log.f64 -1) (+.f64 (fma.f64 2 (log.f64 x) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 -1/2 (pow.f64 x 4)) (/.f64 -1/3 (pow.f64 x 6))))) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) |
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) |
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 1 (*.f64 x x))) |
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 (/.f64 1 x) x)) |
(+.f64 (log.f64 -1) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 1/2 (pow.f64 x 4))) (/.f64 1 (*.f64 x x))) |
(+.f64 (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 1/2 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))) |
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1/2 (pow.f64 x 4)))) |
(+.f64 (log.f64 -1) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1/2 (pow.f64 x 4))))) |
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6)))))) |
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/2 (pow.f64 x 4))) (/.f64 1/3 (pow.f64 x 6)))) |
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1/3 (pow.f64 x 6))))) |
(+.f64 (log.f64 -1) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -1/2 (pow.f64 x 4))) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1/3 (pow.f64 x 6))))) |
(+.f64 (log.f64 -1) (+.f64 (/.f64 -1/3 (pow.f64 x 6)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1/2 (pow.f64 x 4)))))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -1/2) |
(*.f64 x (*.f64 x -1/2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4))) |
(fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/4)) |
(fma.f64 (*.f64 x x) -1/2 (*.f64 (pow.f64 x 4) -1/4)) |
(fma.f64 (pow.f64 x 4) -1/4 (*.f64 (*.f64 x x) -1/2)) |
(fma.f64 x (*.f64 x -1/2) (*.f64 (pow.f64 x 4) -1/4)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 6)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4)))) |
(fma.f64 -1/6 (pow.f64 x 6) (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/4))) |
(fma.f64 (pow.f64 x 6) -1/6 (fma.f64 (*.f64 x x) -1/2 (*.f64 (pow.f64 x 4) -1/4))) |
(fma.f64 (pow.f64 x 4) -1/4 (fma.f64 x (*.f64 x -1/2) (*.f64 (pow.f64 x 6) -1/6))) |
(fma.f64 (pow.f64 x 4) -1/4 (fma.f64 (pow.f64 x 6) -1/6 (*.f64 x (*.f64 x -1/2)))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 8)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4))))) |
(fma.f64 -1/6 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 8) (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/4)))) |
(fma.f64 (pow.f64 x 6) -1/6 (fma.f64 (pow.f64 x 8) -1/8 (fma.f64 (*.f64 x x) -1/2 (*.f64 (pow.f64 x 4) -1/4)))) |
(fma.f64 (pow.f64 x 6) -1/6 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 x (*.f64 x -1/2) (*.f64 (pow.f64 x 8) -1/8)))) |
(fma.f64 (pow.f64 x 6) -1/6 (fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 8) -1/8 (*.f64 (pow.f64 x 4) -1/4)))) |
(*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))) |
(*.f64 (+.f64 (log.f64 -1) (*.f64 -2 (neg.f64 (log.f64 x)))) 1/2) |
(*.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1)) 1/2) |
(fma.f64 (log.f64 -1) 1/2 (log.f64 x)) |
(-.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 (+.f64 (log.f64 -1) (*.f64 -2 (neg.f64 (log.f64 x)))) 1/2) (/.f64 1/2 (*.f64 x x))) |
(fma.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1)) 1/2 (/.f64 -1/2 (*.f64 x x))) |
(+.f64 (fma.f64 (log.f64 -1) 1/2 (log.f64 x)) (/.f64 -1/2 (*.f64 x x))) |
(-.f64 (fma.f64 (log.f64 -1) 1/2 (log.f64 x)) (/.f64 1/2 (*.f64 x x))) |
(-.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (*.f64 (+.f64 (log.f64 -1) (*.f64 -2 (neg.f64 (log.f64 x)))) 1/2) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))) |
(-.f64 (fma.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1)) 1/2 (/.f64 -1/2 (*.f64 x x))) (/.f64 1/4 (pow.f64 x 4))) |
(+.f64 (log.f64 x) (fma.f64 (log.f64 -1) 1/2 (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 4))))) |
(+.f64 (fma.f64 (log.f64 -1) 1/2 (log.f64 x)) (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 4)))) |
(-.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/6 (/.f64 1 (pow.f64 x 6)))))) |
(-.f64 (*.f64 (+.f64 (log.f64 -1) (*.f64 -2 (neg.f64 (log.f64 x)))) 1/2) (+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1/6 (pow.f64 x 6)))) |
(-.f64 (-.f64 (fma.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1)) 1/2 (/.f64 -1/2 (*.f64 x x))) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1/6 (pow.f64 x 6))) |
(+.f64 (+.f64 (log.f64 x) (fma.f64 (log.f64 -1) 1/2 (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 4))))) (/.f64 -1/6 (pow.f64 x 6))) |
(+.f64 (-.f64 (fma.f64 (log.f64 -1) 1/2 (log.f64 x)) (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 -1/4 (pow.f64 x 4)) (/.f64 -1/6 (pow.f64 x 6)))) |
(*.f64 1/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(*.f64 1/2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(fma.f64 (log.f64 -1) 1/2 (neg.f64 (log.f64 (/.f64 -1 x)))) |
(-.f64 (*.f64 (log.f64 -1) 1/2) (log.f64 (/.f64 -1 x))) |
(-.f64 (*.f64 1/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 1/2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 1/2 (*.f64 x x))) |
(fma.f64 1/2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 (log.f64 -1) 1/2 (/.f64 -1/2 (*.f64 x x)))) |
(-.f64 (fma.f64 (log.f64 -1) 1/2 (/.f64 -1/2 (*.f64 x x))) (log.f64 (/.f64 -1 x))) |
(-.f64 (*.f64 1/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (*.f64 1/2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))) |
(-.f64 (fma.f64 1/2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 -1/2 (*.f64 x x))) (/.f64 1/4 (pow.f64 x 4))) |
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 (log.f64 -1) 1/2 (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 4))))) |
(+.f64 (fma.f64 (log.f64 -1) 1/2 (/.f64 -1/4 (pow.f64 x 4))) (-.f64 (/.f64 -1/2 (*.f64 x x)) (log.f64 (/.f64 -1 x)))) |
(-.f64 (*.f64 1/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/6 (/.f64 1 (pow.f64 x 6)))))) |
(-.f64 (*.f64 1/2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1/6 (pow.f64 x 6)))) |
(-.f64 (-.f64 (fma.f64 1/2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 -1/2 (*.f64 x x))) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1/6 (pow.f64 x 6))) |
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 (log.f64 -1) 1/2 (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 4))))) (/.f64 -1/6 (pow.f64 x 6))) |
(+.f64 (-.f64 (/.f64 -1/2 (*.f64 x x)) (log.f64 (/.f64 -1 x))) (fma.f64 (log.f64 -1) 1/2 (+.f64 (/.f64 -1/4 (pow.f64 x 4)) (/.f64 -1/6 (pow.f64 x 6))))) |
Compiled 1172 to 890 computations (24.1% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 74 | 0 | 74 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 74 | 3 | 77 |
| Status | Error | Program |
|---|---|---|
| 0.5b | 1 | |
| ✓ | 0b | (exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2)) |
| ✓ | 0.0b | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
Compiled 18 to 14 computations (22.2% saved)
Compiled 1 to 1 computations (0% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 2 | 2 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| 0.5b | 1 | |
| ✓ | 0b | (exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2)) |
| ✓ | 0.0b | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
Compiled 18 to 14 computations (22.2% saved)
Compiled 1 to 1 computations (0% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 2 | 2 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| 0.5b | 1 | |
| ✓ | 0b | (exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2)) |
| ✓ | 0.0b | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
1 |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2)) |
7 calls:
| 4.0ms | x |
| 3.0ms | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 2.0ms | (*.f64 x x) |
| 2.0ms | (*.f64 x x) |
| 2.0ms | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| Error | Segments | Branch |
|---|---|---|
| 0b | 1 | x |
| 0b | 1 | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 0b | 1 | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 0b | 1 | (-.f64 1 (*.f64 x x)) |
| 0b | 1 | (-.f64 1 (*.f64 x x)) |
| 0b | 1 | (*.f64 x x) |
| 0b | 1 | (*.f64 x x) |
Compiled 52 to 35 computations (32.7% saved)
Total -0.5b remaining (-12122.6%)
Threshold costs -0.5b (-12122.6%)
| Inputs |
|---|
1 |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
| Outputs |
|---|
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
4 calls:
| 4.0ms | x |
| 2.0ms | (*.f64 x x) |
| 2.0ms | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 2.0ms | (-.f64 1 (*.f64 x x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 0.0b | 1 | (-.f64 1 (*.f64 x x)) |
| 0.0b | 1 | (*.f64 x x) |
Compiled 27 to 18 computations (33.3% saved)
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 3× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 23 |
| 1 | 23 | 23 |
| 2 | 28 | 23 |
| 3 | 31 | 23 |
| 4 | 32 | 23 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2)) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
1 |
| Outputs |
|---|
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2)) |
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (*.f64 x x))) 1/2)) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
1 |
Compiled 18 to 14 computations (22.2% saved)
Compiled 16 to 11 computations (31.3% saved)
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