Time bar (total: 2.2s)
| 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)
| 946.0ms | 8256× | body | 256 | valid |
| 1.0ms | 7× | body | 256 | invalid |
| 2× | egg-herbie |
| 597× | unsub-neg_binary64 |
| 579× | distribute-rgt-out--_binary64 |
| 492× | fma-neg_binary64 |
| 445× | 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 | 318 | 9 |
| 8 | 657 | 9 |
| 9 | 1421 | 9 |
| 10 | 2745 | 9 |
| 11 | 4127 | 9 |
| 12 | 5042 | 9 |
| 13 | 5354 | 9 |
| 14 | 5657 | 9 |
| 15 | 5753 | 9 |
| 16 | 5831 | 9 |
| 17 | 6099 | 9 |
| 18 | 7045 | 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 |
| 597× | unsub-neg_binary64 |
| 579× | distribute-rgt-out--_binary64 |
| 492× | fma-neg_binary64 |
| 445× | 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 | 318 | 9 |
| 8 | 657 | 9 |
| 9 | 1421 | 9 |
| 10 | 2745 | 9 |
| 11 | 4127 | 9 |
| 12 | 5042 | 9 |
| 13 | 5354 | 9 |
| 14 | 5657 | 9 |
| 15 | 5753 | 9 |
| 16 | 5831 | 9 |
| 17 | 6099 | 9 |
| 18 | 7045 | 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 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sqrt.f64 (-.f64 1 (*.f64 x x))) | |
| ✓ | 0.0b | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
Compiled 17 to 8 computations (52.9% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | 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 | 1543 | 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 exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) |
| 1× | egg-herbie |
| 689× | associate-*l*_binary64 |
| 643× | fma-def_binary64 |
| 591× | distribute-neg-frac_binary64 |
| 543× | associate-*r*_binary64 |
| 276× | distribute-rgt-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 276 |
| 1 | 151 | 256 |
| 2 | 450 | 244 |
| 3 | 1605 | 238 |
| 4 | 6475 | 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) |
(+.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 -1/8 (pow.f64 x 4) (*.f64 -1/16 (pow.f64 x 6)))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (fma.f64 -1/16 (pow.f64 x 6) 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 (/.f64 1/2 (sqrt.f64 -1)) x)) |
(fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 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 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)) (/.f64 -1/8 (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 x 3)))) |
(+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 x 3)))) |
(+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (sqrt.f64 -1)))) |
(-.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 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)) (/.f64 -1/8 (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 x 3))))) |
(+.f64 (/.f64 (/.f64 1/2 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 (sqrt.f64 -1) (neg.f64 x)) |
(*.f64 x (neg.f64 (sqrt.f64 -1))) |
(-.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)))) |
(neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x))) |
(-.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)) (neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)))) |
(-.f64 (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 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))))) |
(fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (-.f64 (neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))) |
(+.f64 (/.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 1/16 (*.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 462 computations (23.8% 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 |
|---|---|---|
| 0.9b | 1 | |
| ✓ | 0.0b | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| ▶ | 0.7b | (fma.f64 -1/2 (*.f64 x x) 1) |
Compiled 16 to 12 computations (25% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (fma.f64 -1/2 (*.f64 x x) 1) | |
| ✓ | 0.0b | (fma.f64 -1/2 (*.f64 x x) 1) |
Compiled 13 to 7 computations (46.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (fma.f64 -1/2 (*.f64 x x) 1) |
| 0.0ms | x | @ | 0 | (fma.f64 -1/2 (*.f64 x x) 1) |
| 0.0ms | x | @ | -inf | (fma.f64 -1/2 (*.f64 x x) 1) |
| 1× | batch-egg-rewrite |
| 455× | pow1_binary64 |
| 443× | add-sqr-sqrt_binary64 |
| 434× | *-un-lft-identity_binary64 |
| 422× | add-log-exp_binary64 |
| 421× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 114 | 8 |
| 2 | 1183 | 8 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 -1/2 (*.f64 x x) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) 1) (+.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) (-.f64 1 (*.f64 (*.f64 -1/2 (*.f64 x x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) 1) (-.f64 (*.f64 -1/2 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) 1))))))) |
| 1× | egg-herbie |
| 1106× | sqr-pow_binary64 |
| 618× | cube-prod_binary64 |
| 554× | fabs-mul_binary64 |
| 536× | pow-sqr_binary64 |
| 446× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 105 |
| 1 | 16 | 87 |
| 2 | 27 | 87 |
| 3 | 51 | 87 |
| 4 | 114 | 87 |
| 5 | 345 | 87 |
| 6 | 1254 | 87 |
| 7 | 2153 | 87 |
| 8 | 2317 | 87 |
| 9 | 2501 | 87 |
| 10 | 2709 | 87 |
| 11 | 3004 | 87 |
| 12 | 3397 | 87 |
| 13 | 3877 | 87 |
| 14 | 4438 | 87 |
| 15 | 5120 | 87 |
| 16 | 5953 | 87 |
| 17 | 6347 | 87 |
| 18 | 6635 | 87 |
| 19 | 6913 | 87 |
| 20 | 6987 | 87 |
| 21 | 7023 | 87 |
| 22 | 7964 | 87 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
| 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 -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 -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 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(+.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 -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 -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 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(+.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 -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 -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) |
Compiled 260 to 167 computations (35.8% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 24 | 2 | 26 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 25 | 4 | 29 |
| Status | Error | Program |
|---|---|---|
| 0.9b | 1 | |
| ▶ | 0.7b | (+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| ✓ | 0.0b | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| ▶ | 0.7b | (/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) 1) (-.f64 (*.f64 -1/2 (*.f64 x x)) 1)) |
Compiled 39 to 27 computations (30.8% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) | |
| 0.0b | (/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) 1) (-.f64 (*.f64 -1/2 (*.f64 x x)) 1)) | |
| 0.0b | (*.f64 -1/2 (*.f64 x x)) | |
| ✓ | 0.0b | (*.f64 -1/2 (*.f64 x x)) |
| ✓ | 0.0b | (/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) 1) (-.f64 (*.f64 -1/2 (*.f64 x x)) 1)) |
| ✓ | 0.1b | (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) |
Compiled 64 to 34 computations (46.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) 1) (-.f64 (*.f64 -1/2 (*.f64 x x)) 1)) |
| 1.0ms | x | @ | inf | (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) |
| 0.0ms | x | @ | inf | (*.f64 -1/2 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) 1) (-.f64 (*.f64 -1/2 (*.f64 x x)) 1)) |
| 1× | batch-egg-rewrite |
| 569× | log-prod_binary64 |
| 366× | fma-def_binary64 |
| 361× | pow-prod-down_binary64 |
| 348× | fma-neg_binary64 |
| 263× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 40 |
| 1 | 231 | 22 |
| 2 | 3268 | 22 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) 1) (-.f64 (*.f64 -1/2 (*.f64 x x)) 1)) |
(*.f64 -1/2 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x 4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 1/4 (pow.f64 x 4) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (*.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/16 (pow.f64 x 8)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/8 (pow.f64 x 6)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/64 (pow.f64 x 12)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/16 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/64 (pow.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/4 (pow.f64 x 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/4 (pow.f64 x 4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/4 (pow.f64 x 4) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 x 4) 1)) 2) (cbrt.f64 (fma.f64 1/4 (pow.f64 x 4) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/4 (pow.f64 x 4) 1)) (sqrt.f64 (fma.f64 1/4 (pow.f64 x 4) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 x 4)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -1/2 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (fma.f64 -1/2 (*.f64 x x) -1)) (neg.f64 (/.f64 1 (fma.f64 -1/2 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/2 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (fma.f64 -1/2 (*.f64 x x) -1)) (/.f64 1 (fma.f64 -1/2 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/4 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 -1/2 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 x 4) -1)) 2) (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 x 4) -1)) (/.f64 1 (fma.f64 -1/2 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/4 (pow.f64 x 4) -1)) (*.f64 (sqrt.f64 (fma.f64 1/4 (pow.f64 x 4) -1)) (/.f64 1 (fma.f64 -1/2 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 1/4 (pow.f64 x 4) -1)) (/.f64 1 (neg.f64 (fma.f64 -1/2 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 -1/2 (*.f64 x x) -1)) (fma.f64 1/4 (pow.f64 x 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 x 4) -1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 x 4) -1)) (fma.f64 -1/2 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 1/4 (pow.f64 x 4) -1)) 1) (/.f64 (sqrt.f64 (fma.f64 1/4 (pow.f64 x 4) -1)) (fma.f64 -1/2 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) -1)) -2) (/.f64 (fma.f64 1/4 (pow.f64 x 4) -1) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) -1))))))) 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(pow.f64 (fma.f64 -1/2 (*.f64 x x) -1) 2))) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (fma.f64 1/4 (pow.f64 x 4) -1)) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) -1) 2))) (/.f64 (sqrt.f64 (fma.f64 1/4 (pow.f64 x 4) -1)) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) -1) 2))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) -1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) -1) -1/2) (/.f64 (fma.f64 1/4 (pow.f64 x 4) -1) (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 x 4) -1)) 2) (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) -1))) (/.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) -1))) (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 1/4 (pow.f64 x 4) -1) (fma.f64 -1/8 (pow.f64 x 6) -1)) (fma.f64 1/4 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1369× | sqr-pow_binary64 |
| 697× | pow-sqr_binary64 |
| 577× | cube-prod_binary64 |
| 404× | fabs-mul_binary64 |
| 381× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 273 |
| 1 | 23 | 255 |
| 2 | 43 | 255 |
| 3 | 97 | 255 |
| 4 | 287 | 255 |
| 5 | 1107 | 255 |
| 6 | 1851 | 255 |
| 7 | 1975 | 255 |
| 8 | 2144 | 255 |
| 9 | 2343 | 255 |
| 10 | 2614 | 255 |
| 11 | 2973 | 255 |
| 12 | 3422 | 255 |
| 13 | 3946 | 255 |
| 14 | 4572 | 255 |
| 15 | 5323 | 255 |
| 16 | 5635 | 255 |
| 17 | 5861 | 255 |
| 18 | 6059 | 255 |
| 19 | 6115 | 255 |
| 20 | 6139 | 255 |
| 21 | 6973 | 255 |
| 22 | 7886 | 255 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/4 (pow.f64 x 4)) |
(*.f64 1/4 (pow.f64 x 4)) |
(*.f64 1/4 (pow.f64 x 4)) |
(*.f64 1/4 (pow.f64 x 4)) |
(*.f64 1/4 (pow.f64 x 4)) |
(*.f64 1/4 (pow.f64 x 4)) |
(*.f64 1/4 (pow.f64 x 4)) |
(*.f64 1/4 (pow.f64 x 4)) |
(*.f64 1/4 (pow.f64 x 4)) |
(*.f64 1/4 (pow.f64 x 4)) |
(*.f64 1/4 (pow.f64 x 4)) |
(*.f64 1/4 (pow.f64 x 4)) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 1/4 (pow.f64 x 4)) |
(*.f64 1/4 (pow.f64 x 4)) |
(*.f64 1/4 (pow.f64 x 4)) |
(*.f64 1/4 (pow.f64 x 4)) |
(*.f64 1/4 (pow.f64 x 4)) |
(*.f64 1/4 (pow.f64 x 4)) |
(*.f64 1/4 (pow.f64 x 4)) |
(*.f64 1/4 (pow.f64 x 4)) |
(*.f64 1/4 (pow.f64 x 4)) |
(*.f64 1/4 (pow.f64 x 4)) |
(*.f64 1/4 (pow.f64 x 4)) |
(*.f64 1/4 (pow.f64 x 4)) |
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 x -1/2) 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 x -1/2) 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 x -1/2) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(+.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 x -1/2) 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 x -1/2) 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 x -1/2) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(+.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 x -1/2) 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 x -1/2) 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 x -1/2) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 -1/2 (*.f64 x x)) | |
| 0.0b | (+.f64 1 (*.f64 -1/2 (*.f64 x x))) | |
| ✓ | 0.0b | (+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| 0.0b | (*.f64 -1/2 (*.f64 x x)) |
Compiled 19 to 10 computations (47.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| 0.0ms | x | @ | inf | (+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| 0.0ms | x | @ | -inf | (+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| 1× | batch-egg-rewrite |
| 671× | pow1_binary64 |
| 628× | add-log-exp_binary64 |
| 627× | log1p-expm1-u_binary64 |
| 627× | expm1-log1p-u_binary64 |
| 616× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 145 | 8 |
| 2 | 1753 | 8 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 x x)))) (/.f64 (*.f64 1/4 (pow.f64 x 4)) (+.f64 1 (*.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) (/.f64 1 (+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 1/2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 1/4 (pow.f64 x 4))) (/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 1/2 (*.f64 x x)))) (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (-.f64 1 (*.f64 1/4 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) (+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (+.f64 1 (*.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 1/4 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))) (neg.f64 (+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 1/2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 1/4 (pow.f64 x 4)))) (neg.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/2 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (*.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -1/2 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 x) x 1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) 1))))))) |
| 1× | egg-herbie |
| 1106× | sqr-pow_binary64 |
| 618× | cube-prod_binary64 |
| 554× | fabs-mul_binary64 |
| 536× | pow-sqr_binary64 |
| 446× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 105 |
| 1 | 16 | 87 |
| 2 | 27 | 87 |
| 3 | 51 | 87 |
| 4 | 114 | 87 |
| 5 | 345 | 87 |
| 6 | 1254 | 87 |
| 7 | 2153 | 87 |
| 8 | 2317 | 87 |
| 9 | 2501 | 87 |
| 10 | 2709 | 87 |
| 11 | 3004 | 87 |
| 12 | 3397 | 87 |
| 13 | 3877 | 87 |
| 14 | 4438 | 87 |
| 15 | 5120 | 87 |
| 16 | 5953 | 87 |
| 17 | 6347 | 87 |
| 18 | 6635 | 87 |
| 19 | 6913 | 87 |
| 20 | 6987 | 87 |
| 21 | 7023 | 87 |
| 22 | 7964 | 87 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
| 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 -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 -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 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(+.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 -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 -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 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(+.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 -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 -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) |
Compiled 7149 to 4980 computations (30.3% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 322 | 1 | 323 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 323 | 4 | 327 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.7b | (+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| ✓ | 0.0b | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 0.9b | 1 | |
| ✓ | 0.7b | (/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) 1) (-.f64 (*.f64 -1/2 (*.f64 x x)) 1)) |
Compiled 39 to 27 computations (30.8% saved)
Compiled 1 to 1 computations (0% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 3 | 3 |
| Total | 0 | 4 | 4 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.7b | (+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| ✓ | 0.0b | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 0.9b | 1 | |
| ✓ | 0.7b | (/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) 1) (-.f64 (*.f64 -1/2 (*.f64 x x)) 1)) |
Compiled 39 to 27 computations (30.8% saved)
| Inputs |
|---|
1 |
1 |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) 1) (-.f64 (*.f64 -1/2 (*.f64 x x)) 1)) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
| Outputs |
|---|
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
4 calls:
| 5.0ms | x |
| 2.0ms | (*.f64 x x) |
| 2.0ms | (-.f64 1 (*.f64 x x)) |
| 2.0ms | (sqrt.f64 (-.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 62 to 38 computations (38.7% saved)
| Inputs |
|---|
1 |
1 |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) 1) (-.f64 (*.f64 -1/2 (*.f64 x x)) 1)) |
(fma.f64 -1/2 (*.f64 x x) 1) |
| Outputs |
|---|
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
2 calls:
| 4.0ms | x |
| 2.0ms | (*.f64 x x) |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 1 | x |
| 0.7b | 1 | (*.f64 x x) |
Compiled 43 to 26 computations (39.5% saved)
Total 0.0b remaining (0%)
Threshold costs 0.0b (0%)
| Inputs |
|---|
1 |
1 |
| Outputs |
|---|
1 |
1 calls:
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.9b | 1 | x |
Compiled 5 to 4 computations (20% 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 | 9 | 20 |
| 1 | 18 | 20 |
| 2 | 25 | 20 |
| 3 | 29 | 20 |
| 4 | 31 | 20 |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
1 |
| Outputs |
|---|
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(+.f64 1 (*.f64 (*.f64 x x) -1/2)) |
1 |
| 1× | fuel |
Compiled 32 to 23 computations (28.1% saved)
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