Time bar (total: 41.3s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.8% | 0.2% | 0 |
| 0% | 99.8% | 0.2% | 1 |
| 0% | 99.8% | 0.2% | 2 |
| 0% | 99.8% | 0.2% | 3 |
| 0% | 99.8% | 0.2% | 4 |
| 0% | 99.8% | 0.2% | 5 |
| 0% | 99.8% | 0.2% | 6 |
| 0% | 99.8% | 0.2% | 7 |
| 0% | 98.2% | 1.8% | 8 |
| 0% | 94.3% | 5.7% | 9 |
| 0.4% | 93% | 6.6% | 10 |
| 7.4% | 83.3% | 9.3% | 11 |
| 12.4% | 75.2% | 12.4% | 12 |
| 14.4% | 68.9% | 16.7% | 13 |
| 16.8% | 65.4% | 17.8% | 14 |
Compiled 45 to 33 computations (26.7% saved)
| 1.5s | 5801× | body | 128 | valid |
| 839.0ms | 905× | body | 1024 | invalid |
| 791.0ms | 853× | body | 1024 | valid |
| 781.0ms | 679× | body | 2048 | valid |
| 771.0ms | 2933× | body | 128 | invalid |
| 692.0ms | 601× | body | 2048 | invalid |
| 462.0ms | 588× | body | 512 | valid |
| 428.0ms | 655× | body | 512 | invalid |
| 161.0ms | 335× | body | 256 | valid |
| 140.0ms | 316× | body | 256 | invalid |
Compiled 134 to 98 computations (26.9% saved)
| 1× | egg-herbie |
| 560× | associate-*l*_binary64 |
| 528× | associate-*r*_binary64 |
| 455× | distribute-rgt-in_binary64 |
| 450× | fma-def_binary64 |
| 449× | distribute-lft-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 61 |
| 1 | 66 | 49 |
| 2 | 202 | 49 |
| 3 | 721 | 49 |
| 4 | 2973 | 49 |
| 5 | 4968 | 49 |
| 6 | 4966 | 49 |
| 7 | 4969 | 49 |
| 8 | 4939 | 49 |
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 |
| 54.3b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 2 (*.f64 (-.f64 (pow.f64 B 2) (*.f64 (*.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (*.f64 (*.f64 4 A) C))) | |
| ▶ | 51.6b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) |
Compiled 239 to 156 computations (34.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 3.1b | (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) |
| ✓ | 4.9b | (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) |
| ✓ | 16.2b | (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))) |
| ✓ | 24.1b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) |
4 calls:
| 9.4s | (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))) |
| 8.1s | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) |
| 213.0ms | (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) |
| 51.0ms | (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) |
| 1× | rewrite-expression-head |
| 38× | *-un-lft-identity_binary64 |
| 36× | times-frac_binary64 |
| 31× | add-sqr-sqrt_binary64 |
| 31× | add-cube-cbrt_binary64 |
| 23× | pow1_binary64 |
4 calls:
| 40.0ms | (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))) |
| 9.0ms | (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) |
| 5.0ms | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) |
| 5.0ms | (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) |
| 1× | egg-herbie |
| 583× | fma-def_binary64 |
| 274× | associate-/l*_binary64 |
| 213× | associate-*l/_binary64 |
| 183× | associate-/r*_binary64 |
| 149× | times-frac_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2448 | 45159 |
| 1 | 5052 | 45159 |
27 alts after pruning (27 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 334 | 27 | 361 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 336 | 27 | 363 |
| Status | Error | Program |
| 61.3b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F B))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 58.6b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 -16 (*.f64 A (*.f64 (pow.f64 C 2) F))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 51.7b | (/.f64 (neg.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 56.5b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (-.f64 (*.f64 2 A) (*.f64 1/2 (/.f64 (pow.f64 B 2) C)))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 61.4b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 -2 (*.f64 F (pow.f64 B 3))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 54.1b | (neg.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 -1/2 (/.f64 F A))))) | |
| 55.0b | (/.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 60.8b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (-.f64 (+.f64 A (+.f64 C (/.f64 (*.f64 A C) B))) (fma.f64 1/2 (/.f64 (*.f64 A A) B) (fma.f64 1/2 (/.f64 (*.f64 C C) B) B)))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 61.9b | (/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 2 (*.f64 C (*.f64 F (*.f64 B B))) (fma.f64 2 (*.f64 A (*.f64 F (*.f64 B B))) (fma.f64 2 (*.f64 F (pow.f64 B 3)) (*.f64 (*.f64 F B) (+.f64 (*.f64 A A) (*.f64 C C)))))) (*.f64 10 (*.f64 A (*.f64 C (*.f64 F B))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 60.3b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (neg.f64 B)))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 61.4b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 2 (*.f64 F (pow.f64 B 3))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| ▶ | 51.3b | (*.f64 -1 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) (sqrt.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B))))) |
| 59.2b | (/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C))))) (*.f64 F (pow.f64 B 4)) (fma.f64 2 (*.f64 C (*.f64 F (*.f64 B B))) (fma.f64 (*.f64 A (*.f64 C (*.f64 F (pow.f64 B 4)))) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C))) 3))) (*.f64 2 (+.f64 (*.f64 (sqrt.f64 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C)))) (*.f64 F (*.f64 B B))) (*.f64 A (*.f64 F (*.f64 B B)))))))) (fma.f64 8 (*.f64 A (*.f64 (*.f64 C C) F)) (fma.f64 4 (*.f64 (*.f64 A (*.f64 C (*.f64 F (*.f64 B B)))) (sqrt.f64 (/.f64 1 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C)))))) (fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C))) 3))) (*.f64 F (pow.f64 B 6))) (fma.f64 1/2 (*.f64 (*.f64 A (*.f64 C (*.f64 F (pow.f64 B 6)))) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C))) 5)))) (*.f64 8 (+.f64 (*.f64 (*.f64 A A) (*.f64 C F)) (*.f64 (*.f64 A (*.f64 C F)) (sqrt.f64 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C)))))))))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 56.0b | (neg.f64 (*.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 F C))) (sqrt.f64 2))) | |
| 62.0b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (-.f64 (+.f64 A (fma.f64 1/2 (/.f64 (*.f64 A A) B) (fma.f64 1/2 (/.f64 (*.f64 C C) B) (+.f64 C B)))) (/.f64 (*.f64 A C) B))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 57.0b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (*.f64 2 C)))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 52.9b | (/.f64 (sqrt.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B))) (/.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (neg.f64 (sqrt.f64 (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))))) | |
| 56.2b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (*.f64 2 A)))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 56.8b | (/.f64 (neg.f64 (fma.f64 A (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 -8 (*.f64 C F)))) (/.f64 (*.f64 F (*.f64 (sqrt.f64 2) (*.f64 B B))) (sqrt.f64 (*.f64 -8 (*.f64 C F)))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 51.7b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))) (cbrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (cbrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 58.0b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (pow.f64 (+.f64 A C) 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3))))))) (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (sqrt.f64 (fma.f64 (+.f64 A C) (+.f64 A C) (*.f64 (hypot.f64 B (-.f64 A C)) (-.f64 (hypot.f64 B (-.f64 A C)) (+.f64 A C))))))) | |
| 56.5b | (/.f64 (neg.f64 (*.f64 A (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 -8 (*.f64 C F)))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 58.2b | (/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 4 (/.f64 (*.f64 (*.f64 C C) (*.f64 F (*.f64 B B))) A) (*.f64 8 (*.f64 C (*.f64 F (*.f64 B B))))) (+.f64 (/.f64 (*.f64 F (pow.f64 B 4)) A) (*.f64 16 (*.f64 A (*.f64 (*.f64 C C) F))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 61.7b | (neg.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 -1/4 (/.f64 (*.f64 F (+.f64 A (+.f64 C (sqrt.f64 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C))))))) (*.f64 A C)))))) | |
| 59.7b | (neg.f64 (*.f64 (sqrt.f64 (*.f64 F (+.f64 A (sqrt.f64 (+.f64 (*.f64 A A) (*.f64 B B)))))) (/.f64 (sqrt.f64 2) B))) | |
| 55.2b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (-.f64 (*.f64 2 C) (*.f64 1/2 (/.f64 (pow.f64 B 2) A)))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 57.2b | (/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 -8 (*.f64 A F))) (*.f64 C (sqrt.f64 2)))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) |
Compiled 62400 to 34122 computations (45.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.5b | (fma.f64 A (*.f64 C -4) (*.f64 B B)) |
| 3.1b | (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) | |
| ✓ | 11.3b | (sqrt.f64 (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) |
| ✓ | 19.8b | (sqrt.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B))) |
3 calls:
| 1.1s | (sqrt.f64 (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) |
| 43.0ms | (sqrt.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B))) |
| 10.0ms | (fma.f64 A (*.f64 C -4) (*.f64 B B)) |
| 1× | rewrite-expression-head |
| 10× | pow1_binary64 |
| 5× | add-sqr-sqrt_binary64 |
| 4× | associate-*r/_binary64 |
| 4× | *-un-lft-identity_binary64 |
| 4× | sqrt-prod_binary64 |
3 calls:
| 7.0ms | (sqrt.f64 (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) |
| 1.0ms | (sqrt.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B))) |
| 0.0ms | (fma.f64 A (*.f64 C -4) (*.f64 B B)) |
| 1× | egg-herbie |
| 521× | fma-def_binary64 |
| 457× | associate-*l*_binary64 |
| 213× | associate-/r*_binary64 |
| 195× | *-commutative_binary64 |
| 163× | associate-*r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 525 | 6271 |
| 1 | 1642 | 5185 |
| 2 | 4962 | 5170 |
| 3 | 4981 | 5170 |
32 alts after pruning (32 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 192 | 8 | 200 |
| Fresh | 2 | 24 | 26 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 195 | 32 | 227 |
| Status | Error | Program |
| 58.0b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (pow.f64 (+.f64 A C) 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3))))))) (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (sqrt.f64 (fma.f64 (+.f64 A C) (+.f64 A C) (*.f64 (hypot.f64 B (-.f64 A C)) (-.f64 (hypot.f64 B (-.f64 A C)) (+.f64 A C))))))) | |
| 58.7b | (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 (*.f64 C F)) (pow.f64 (sqrt.f64 2) 2)) (sqrt.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B))))) | |
| 56.5b | (/.f64 (neg.f64 (*.f64 A (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 -8 (*.f64 C F)))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 55.0b | (*.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 F (+.f64 C (hypot.f64 B C)))) (*.f64 A (sqrt.f64 2))) (fma.f64 (sqrt.f64 (*.f64 (+.f64 C (hypot.f64 B C)) F)) (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 (/.f64 F (*.f64 (fma.f64 B B (*.f64 C C)) (+.f64 C (hypot.f64 B C))))) (*.f64 A (*.f64 C (sqrt.f64 2)))) -1/2))) (sqrt.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B))))) | |
| 51.7b | (/.f64 (neg.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 56.5b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (-.f64 (*.f64 2 A) (*.f64 1/2 (/.f64 (pow.f64 B 2) C)))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 61.4b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 -2 (*.f64 F (pow.f64 B 3))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 54.1b | (neg.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 -1/2 (/.f64 F A))))) | |
| 53.2b | (*.f64 -1 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) (neg.f64 B))) | |
| 55.0b | (/.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 60.8b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (-.f64 (+.f64 A (+.f64 C (/.f64 (*.f64 A C) B))) (fma.f64 1/2 (/.f64 (*.f64 A A) B) (fma.f64 1/2 (/.f64 (*.f64 C C) B) B)))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 61.9b | (/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 2 (*.f64 C (*.f64 F (*.f64 B B))) (fma.f64 2 (*.f64 A (*.f64 F (*.f64 B B))) (fma.f64 2 (*.f64 F (pow.f64 B 3)) (*.f64 (*.f64 F B) (+.f64 (*.f64 A A) (*.f64 C C)))))) (*.f64 10 (*.f64 A (*.f64 C (*.f64 F B))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 60.3b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (neg.f64 B)))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 61.4b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 2 (*.f64 F (pow.f64 B 3))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 59.2b | (/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C))))) (*.f64 F (pow.f64 B 4)) (fma.f64 2 (*.f64 C (*.f64 F (*.f64 B B))) (fma.f64 (*.f64 A (*.f64 C (*.f64 F (pow.f64 B 4)))) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C))) 3))) (*.f64 2 (+.f64 (*.f64 (sqrt.f64 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C)))) (*.f64 F (*.f64 B B))) (*.f64 A (*.f64 F (*.f64 B B)))))))) (fma.f64 8 (*.f64 A (*.f64 (*.f64 C C) F)) (fma.f64 4 (*.f64 (*.f64 A (*.f64 C (*.f64 F (*.f64 B B)))) (sqrt.f64 (/.f64 1 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C)))))) (fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C))) 3))) (*.f64 F (pow.f64 B 6))) (fma.f64 1/2 (*.f64 (*.f64 A (*.f64 C (*.f64 F (pow.f64 B 6)))) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C))) 5)))) (*.f64 8 (+.f64 (*.f64 (*.f64 A A) (*.f64 C F)) (*.f64 (*.f64 A (*.f64 C F)) (sqrt.f64 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C)))))))))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 56.0b | (neg.f64 (*.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 F C))) (sqrt.f64 2))) | |
| ▶ | 50.8b | (*.f64 -1 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) (*.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B))))) |
| 58.4b | (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 (*.f64 A F)) (pow.f64 (sqrt.f64 2) 2)) (sqrt.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B))))) | |
| 54.5b | (*.f64 -1 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) B)) | |
| 55.2b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (-.f64 (*.f64 2 C) (*.f64 1/2 (/.f64 (pow.f64 B 2) A)))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 54.2b | (*.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (*.f64 C (sqrt.f64 2)) (sqrt.f64 (/.f64 F (+.f64 A (hypot.f64 B A))))) (fma.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 F (+.f64 A (hypot.f64 B A)))) (*.f64 (*.f64 (*.f64 A (*.f64 C (sqrt.f64 2))) (sqrt.f64 (/.f64 F (*.f64 (fma.f64 B B (*.f64 A A)) (+.f64 A (hypot.f64 B A)))))) -1/2))) (sqrt.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B))))) | |
| 52.9b | (/.f64 (sqrt.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B))) (/.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (neg.f64 (sqrt.f64 (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))))) | |
| 56.2b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (*.f64 2 A)))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 56.8b | (/.f64 (neg.f64 (fma.f64 A (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 -8 (*.f64 C F)))) (/.f64 (*.f64 F (*.f64 (sqrt.f64 2) (*.f64 B B))) (sqrt.f64 (*.f64 -8 (*.f64 C F)))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 51.7b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))) (cbrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (cbrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 58.2b | (/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 4 (/.f64 (*.f64 (*.f64 C C) (*.f64 F (*.f64 B B))) A) (*.f64 8 (*.f64 C (*.f64 F (*.f64 B B))))) (+.f64 (/.f64 (*.f64 F (pow.f64 B 4)) A) (*.f64 16 (*.f64 A (*.f64 (*.f64 C C) F))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 61.7b | (neg.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 -1/4 (/.f64 (*.f64 F (+.f64 A (+.f64 C (sqrt.f64 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C))))))) (*.f64 A C)))))) | |
| 61.3b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F B))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 59.7b | (neg.f64 (*.f64 (sqrt.f64 (*.f64 F (+.f64 A (sqrt.f64 (+.f64 (*.f64 A A) (*.f64 B B)))))) (/.f64 (sqrt.f64 2) B))) | |
| 62.0b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (-.f64 (+.f64 A (fma.f64 1/2 (/.f64 (*.f64 A A) B) (fma.f64 1/2 (/.f64 (*.f64 C C) B) (+.f64 C B)))) (/.f64 (*.f64 A C) B))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 52.2b | (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 F (+.f64 A (hypot.f64 B A))))) (sqrt.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B))))) | |
| 57.2b | (/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 -8 (*.f64 A F))) (*.f64 C (sqrt.f64 2)))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) |
Compiled 15597 to 8918 computations (42.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (*.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B))) |
| 3.1b | (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) | |
| ✓ | 11.0b | (sqrt.f64 (*.f64 A (*.f64 C -4))) |
| 11.3b | (sqrt.f64 (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) |
2 calls:
| 113.0ms | (*.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B))) |
| 19.0ms | (sqrt.f64 (*.f64 A (*.f64 C -4))) |
| 1× | rewrite-expression-head |
| 26× | add-sqr-sqrt_binary64 |
| 23× | pow1_binary64 |
| 19× | sqrt-prod_binary64 |
| 11× | sqrt-pow1_binary64 |
| 10× | *-un-lft-identity_binary64 |
2 calls:
| 5.0ms | (*.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B))) |
| 3.0ms | (sqrt.f64 (*.f64 A (*.f64 C -4))) |
| 1× | egg-herbie |
| 767× | fma-def_binary64 |
| 542× | times-frac_binary64 |
| 416× | fma-neg_binary64 |
| 389× | associate-*r*_binary64 |
| 366× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 1605 |
| 1 | 231 | 1417 |
| 2 | 677 | 1333 |
| 3 | 3847 | 1293 |
| 4 | 4987 | 1293 |
| 5 | 4969 | 1293 |
35 alts after pruning (35 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 257 | 6 | 263 |
| Fresh | 2 | 29 | 31 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 260 | 35 | 295 |
| Status | Error | Program |
| 58.0b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (pow.f64 (+.f64 A C) 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3))))))) (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (sqrt.f64 (fma.f64 (+.f64 A C) (+.f64 A C) (*.f64 (hypot.f64 B (-.f64 A C)) (-.f64 (hypot.f64 B (-.f64 A C)) (+.f64 A C))))))) | |
| 58.7b | (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 (*.f64 C F)) (pow.f64 (sqrt.f64 2) 2)) (sqrt.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B))))) | |
| 55.9b | (*.f64 -1 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 F (+.f64 C (sqrt.f64 (+.f64 (*.f64 C C) (*.f64 B B))))))) (*.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B))))) | |
| 55.0b | (*.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 F (+.f64 C (hypot.f64 B C)))) (*.f64 A (sqrt.f64 2))) (fma.f64 (sqrt.f64 (*.f64 (+.f64 C (hypot.f64 B C)) F)) (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 (/.f64 F (*.f64 (fma.f64 B B (*.f64 C C)) (+.f64 C (hypot.f64 B C))))) (*.f64 A (*.f64 C (sqrt.f64 2)))) -1/2))) (sqrt.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B))))) | |
| 56.5b | (/.f64 (neg.f64 (*.f64 A (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 -8 (*.f64 C F)))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 59.3b | (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 (*.f64 C F)) (pow.f64 (sqrt.f64 2) 2)) (*.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B))))) | |
| 61.3b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F B))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 51.7b | (/.f64 (neg.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 56.5b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (-.f64 (*.f64 2 A) (*.f64 1/2 (/.f64 (pow.f64 B 2) C)))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 61.4b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 -2 (*.f64 F (pow.f64 B 3))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 54.1b | (neg.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 -1/2 (/.f64 F A))))) | |
| 53.2b | (*.f64 -1 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) (neg.f64 B))) | |
| 55.0b | (/.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 60.8b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (-.f64 (+.f64 A (+.f64 C (/.f64 (*.f64 A C) B))) (fma.f64 1/2 (/.f64 (*.f64 A A) B) (fma.f64 1/2 (/.f64 (*.f64 C C) B) B)))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 61.9b | (/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 2 (*.f64 C (*.f64 F (*.f64 B B))) (fma.f64 2 (*.f64 A (*.f64 F (*.f64 B B))) (fma.f64 2 (*.f64 F (pow.f64 B 3)) (*.f64 (*.f64 F B) (+.f64 (*.f64 A A) (*.f64 C C)))))) (*.f64 10 (*.f64 A (*.f64 C (*.f64 F B))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 60.3b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (neg.f64 B)))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 61.4b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 2 (*.f64 F (pow.f64 B 3))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 51.4b | (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 F (+.f64 A (hypot.f64 B A))))) (*.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B))))) | |
| 59.2b | (/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C))))) (*.f64 F (pow.f64 B 4)) (fma.f64 2 (*.f64 C (*.f64 F (*.f64 B B))) (fma.f64 (*.f64 A (*.f64 C (*.f64 F (pow.f64 B 4)))) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C))) 3))) (*.f64 2 (+.f64 (*.f64 (sqrt.f64 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C)))) (*.f64 F (*.f64 B B))) (*.f64 A (*.f64 F (*.f64 B B)))))))) (fma.f64 8 (*.f64 A (*.f64 (*.f64 C C) F)) (fma.f64 4 (*.f64 (*.f64 A (*.f64 C (*.f64 F (*.f64 B B)))) (sqrt.f64 (/.f64 1 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C)))))) (fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C))) 3))) (*.f64 F (pow.f64 B 6))) (fma.f64 1/2 (*.f64 (*.f64 A (*.f64 C (*.f64 F (pow.f64 B 6)))) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C))) 5)))) (*.f64 8 (+.f64 (*.f64 (*.f64 A A) (*.f64 C F)) (*.f64 (*.f64 A (*.f64 C F)) (sqrt.f64 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C)))))))))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 56.0b | (neg.f64 (*.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 F C))) (sqrt.f64 2))) | |
| 58.4b | (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 (*.f64 A F)) (pow.f64 (sqrt.f64 2) 2)) (sqrt.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B))))) | |
| 54.5b | (*.f64 -1 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) B)) | |
| ▶ | 50.8b | (*.f64 -1 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) (*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B))) (*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B))) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B)))))) |
| 55.2b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (-.f64 (*.f64 2 C) (*.f64 1/2 (/.f64 (pow.f64 B 2) A)))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 54.2b | (*.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (*.f64 C (sqrt.f64 2)) (sqrt.f64 (/.f64 F (+.f64 A (hypot.f64 B A))))) (fma.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 F (+.f64 A (hypot.f64 B A)))) (*.f64 (*.f64 (*.f64 A (*.f64 C (sqrt.f64 2))) (sqrt.f64 (/.f64 F (*.f64 (fma.f64 B B (*.f64 A A)) (+.f64 A (hypot.f64 B A)))))) -1/2))) (sqrt.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B))))) | |
| 59.1b | (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 (*.f64 A F)) (pow.f64 (sqrt.f64 2) 2)) (*.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B))))) | |
| 62.0b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (-.f64 (+.f64 A (fma.f64 1/2 (/.f64 (*.f64 A A) B) (fma.f64 1/2 (/.f64 (*.f64 C C) B) (+.f64 C B)))) (/.f64 (*.f64 A C) B))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 56.8b | (/.f64 (neg.f64 (fma.f64 A (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 -8 (*.f64 C F)))) (/.f64 (*.f64 F (*.f64 (sqrt.f64 2) (*.f64 B B))) (sqrt.f64 (*.f64 -8 (*.f64 C F)))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 51.7b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))) (cbrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (cbrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 58.2b | (/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 4 (/.f64 (*.f64 (*.f64 C C) (*.f64 F (*.f64 B B))) A) (*.f64 8 (*.f64 C (*.f64 F (*.f64 B B))))) (+.f64 (/.f64 (*.f64 F (pow.f64 B 4)) A) (*.f64 16 (*.f64 A (*.f64 (*.f64 C C) F))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 61.7b | (neg.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 -1/4 (/.f64 (*.f64 F (+.f64 A (+.f64 C (sqrt.f64 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C))))))) (*.f64 A C)))))) | |
| 59.7b | (neg.f64 (*.f64 (sqrt.f64 (*.f64 F (+.f64 A (sqrt.f64 (+.f64 (*.f64 A A) (*.f64 B B)))))) (/.f64 (sqrt.f64 2) B))) | |
| 63.1b | (*.f64 -1 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 F (log.f64 (exp.f64 (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (*.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B))))) | |
| 57.2b | (/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 -8 (*.f64 A F))) (*.f64 C (sqrt.f64 2)))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 52.9b | (/.f64 (sqrt.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B))) (/.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (neg.f64 (sqrt.f64 (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))))) |
Compiled 20270 to 12182 computations (39.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B))) (*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B))) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B)))) |
| 3.1b | (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))) | |
| 11.0b | (sqrt.f64 (*.f64 A (*.f64 C -4))) | |
| 11.3b | (sqrt.f64 (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) |
1 calls:
| 115.0ms | (*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B))) (*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B))) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B)))) |
| 1× | rewrite-expression-head |
| 39× | sqrt-pow1_binary64 |
| 35× | pow1_binary64 |
| 30× | pow-prod-up_binary64 |
| 23× | pow1/2_binary64 |
| 18× | add-sqr-sqrt_binary64 |
1 calls:
| 16.0ms | (*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B))) (*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B))) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B)))) |
| 1× | egg-herbie |
| 658× | fma-def_binary64 |
| 439× | cancel-sign-sub-inv_binary64 |
| 359× | fma-neg_binary64 |
| 289× | distribute-rgt-neg-in_binary64 |
| 268× | times-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 1221 |
| 1 | 246 | 1036 |
| 2 | 603 | 991 |
| 3 | 2486 | 985 |
| 4 | 4846 | 985 |
| 5 | 4999 | 985 |
36 alts after pruning (35 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 278 | 3 | 281 |
| Fresh | 2 | 32 | 34 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 280 | 36 | 316 |
| Status | Error | Program |
| 58.0b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (pow.f64 (+.f64 A C) 3) (pow.f64 (hypot.f64 B (-.f64 A C)) 3))))))) (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (sqrt.f64 (fma.f64 (+.f64 A C) (+.f64 A C) (*.f64 (hypot.f64 B (-.f64 A C)) (-.f64 (hypot.f64 B (-.f64 A C)) (+.f64 A C))))))) | |
| 58.7b | (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 (*.f64 C F)) (pow.f64 (sqrt.f64 2) 2)) (sqrt.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B))))) | |
| 56.5b | (/.f64 (neg.f64 (*.f64 A (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 -8 (*.f64 C F)))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 55.0b | (*.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 F (+.f64 C (hypot.f64 B C)))) (*.f64 A (sqrt.f64 2))) (fma.f64 (sqrt.f64 (*.f64 (+.f64 C (hypot.f64 B C)) F)) (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 (/.f64 F (*.f64 (fma.f64 B B (*.f64 C C)) (+.f64 C (hypot.f64 B C))))) (*.f64 A (*.f64 C (sqrt.f64 2)))) -1/2))) (sqrt.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B))))) | |
| 61.7b | (neg.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 -1/4 (/.f64 (*.f64 F (+.f64 A (+.f64 C (sqrt.f64 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C))))))) (*.f64 A C)))))) | |
| 58.2b | (*.f64 -1 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 F (-.f64 (*.f64 2 C) (*.f64 1/2 (/.f64 (*.f64 B B) A)))))) (*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B))) (*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B))) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B)))))) | |
| 59.3b | (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 (*.f64 C F)) (pow.f64 (sqrt.f64 2) 2)) (*.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B))))) | |
| 61.3b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F B))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 51.7b | (/.f64 (neg.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 56.5b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (-.f64 (*.f64 2 A) (*.f64 1/2 (/.f64 (pow.f64 B 2) C)))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 61.4b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 -2 (*.f64 F (pow.f64 B 3))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 54.1b | (neg.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 -1/2 (/.f64 F A))))) | |
| 53.2b | (*.f64 -1 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) (neg.f64 B))) | |
| 55.0b | (/.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 60.8b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (-.f64 (+.f64 A (+.f64 C (/.f64 (*.f64 A C) B))) (fma.f64 1/2 (/.f64 (*.f64 A A) B) (fma.f64 1/2 (/.f64 (*.f64 C C) B) B)))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 61.9b | (/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 2 (*.f64 C (*.f64 F (*.f64 B B))) (fma.f64 2 (*.f64 A (*.f64 F (*.f64 B B))) (fma.f64 2 (*.f64 F (pow.f64 B 3)) (*.f64 (*.f64 F B) (+.f64 (*.f64 A A) (*.f64 C C)))))) (*.f64 10 (*.f64 A (*.f64 C (*.f64 F B))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 60.3b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (neg.f64 B)))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 61.4b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 2 (*.f64 F (pow.f64 B 3))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 51.4b | (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 F (+.f64 A (hypot.f64 B A))))) (*.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B))))) | |
| 59.2b | (/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C))))) (*.f64 F (pow.f64 B 4)) (fma.f64 2 (*.f64 C (*.f64 F (*.f64 B B))) (fma.f64 (*.f64 A (*.f64 C (*.f64 F (pow.f64 B 4)))) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C))) 3))) (*.f64 2 (+.f64 (*.f64 (sqrt.f64 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C)))) (*.f64 F (*.f64 B B))) (*.f64 A (*.f64 F (*.f64 B B)))))))) (fma.f64 8 (*.f64 A (*.f64 (*.f64 C C) F)) (fma.f64 4 (*.f64 (*.f64 A (*.f64 C (*.f64 F (*.f64 B B)))) (sqrt.f64 (/.f64 1 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C)))))) (fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C))) 3))) (*.f64 F (pow.f64 B 6))) (fma.f64 1/2 (*.f64 (*.f64 A (*.f64 C (*.f64 F (pow.f64 B 6)))) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C))) 5)))) (*.f64 8 (+.f64 (*.f64 (*.f64 A A) (*.f64 C F)) (*.f64 (*.f64 A (*.f64 C F)) (sqrt.f64 (-.f64 (+.f64 (*.f64 A A) (*.f64 C C)) (*.f64 2 (*.f64 A C)))))))))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 56.0b | (neg.f64 (*.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 F C))) (sqrt.f64 2))) | |
| 58.4b | (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 (*.f64 A F)) (pow.f64 (sqrt.f64 2) 2)) (sqrt.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B))))) | |
| 54.5b | (*.f64 -1 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) B)) | |
| 59.3b | (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 (*.f64 C F)) (pow.f64 (sqrt.f64 2) 2)) (*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B))) (*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B))) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B)))))) | |
| 54.2b | (*.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (*.f64 C (sqrt.f64 2)) (sqrt.f64 (/.f64 F (+.f64 A (hypot.f64 B A))))) (fma.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 F (+.f64 A (hypot.f64 B A)))) (*.f64 (*.f64 (*.f64 A (*.f64 C (sqrt.f64 2))) (sqrt.f64 (/.f64 F (*.f64 (fma.f64 B B (*.f64 A A)) (+.f64 A (hypot.f64 B A)))))) -1/2))) (sqrt.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B))))) | |
| ✓ | 50.8b | (*.f64 -1 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))) (*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B))) (*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B))) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B)))))) |
| 55.2b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (-.f64 (*.f64 2 C) (*.f64 1/2 (/.f64 (pow.f64 B 2) A)))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 52.9b | (/.f64 (sqrt.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B))) (/.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (neg.f64 (sqrt.f64 (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))))) | |
| 59.1b | (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 (*.f64 A F)) (pow.f64 (sqrt.f64 2) 2)) (*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B))) (*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B))) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B)))))) | |
| 56.8b | (/.f64 (neg.f64 (fma.f64 A (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 -8 (*.f64 C F)))) (/.f64 (*.f64 F (*.f64 (sqrt.f64 2) (*.f64 B B))) (sqrt.f64 (*.f64 -8 (*.f64 C F)))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 51.7b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C))))))) (cbrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (cbrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 58.2b | (/.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 4 (/.f64 (*.f64 (*.f64 C C) (*.f64 F (*.f64 B B))) A) (*.f64 8 (*.f64 C (*.f64 F (*.f64 B B))))) (+.f64 (/.f64 (*.f64 F (pow.f64 B 4)) A) (*.f64 16 (*.f64 A (*.f64 (*.f64 C C) F))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 59.7b | (neg.f64 (*.f64 (sqrt.f64 (*.f64 F (+.f64 A (sqrt.f64 (+.f64 (*.f64 A A) (*.f64 B B)))))) (/.f64 (sqrt.f64 2) B))) | |
| 62.0b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 A (*.f64 C -4) (*.f64 B B)) (*.f64 2 (*.f64 F (-.f64 (+.f64 A (fma.f64 1/2 (/.f64 (*.f64 A A) B) (fma.f64 1/2 (/.f64 (*.f64 C C) B) (+.f64 C B)))) (/.f64 (*.f64 A C) B))))))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) | |
| 63.1b | (*.f64 -1 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 F (log.f64 (exp.f64 (+.f64 (+.f64 A C) (hypot.f64 B (-.f64 A C)))))))) (*.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 A (*.f64 C -4))) B))))) | |
| 57.2b | (/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 -8 (*.f64 A F))) (*.f64 C (sqrt.f64 2)))) (fma.f64 A (*.f64 C -4) (*.f64 B B))) |
Compiled 22246 to 13792 computations (38% saved)
Total 24.5b remaining (61.1%)
Threshold costs 0b (0%)
Compiled 86297 to 55343 computations (35.9% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 10 | 2.7958841222146756e-23 | 3.5879940374217285e-10 | 2.852086878622813e-23 |
| 8 | 6.82331524579838e-167 | 1.5186705677196684e-162 | 1.310184971611859e-166 |
| 7 | 2.5519639313809293e-221 | 6.361332850632969e-220 | 2.478409119982122e-220 |
| 6 | -2.774522077564954e-173 | -3.639305471531369e-174 | -7.195204907113419e-174 |
| 8 | -1.0429263966412726e-137 | -1.7934572499480315e-142 | -1.3918271591250041e-139 |
| 8 | -4.328858324342664e-119 | -2.0137803236742526e-122 | -7.450543718790283e-121 |
| 8 | -1.2033767339458559e-26 | -6.497242995077466e-31 | -2.1809907538999357e-29 |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
| 60× | *-commutative_binary64 |
| 39× | +-commutative_binary64 |
| 32× | sub-neg_binary64 |
| 28× | neg-sub0_binary64 |
| 25× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 419 |
| 1 | 206 | 419 |
| 2 | 269 | 419 |
| 3 | 323 | 419 |
| 4 | 352 | 419 |
| 5 | 361 | 419 |
| 6 | 363 | 419 |
| 7 | 361 | 419 |
Compiled 2221 to 1330 computations (40.1% saved)
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