Time bar (total: 4.4s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 25% | 74.9% | 0.1% | 5 |
| 25% | 68.7% | 6.3% | 6 |
| 25% | 56.2% | 18.8% | 7 |
| 25% | 48.4% | 26.6% | 8 |
| 25% | 35.1% | 39.9% | 9 |
| 28.1% | 18.3% | 53.6% | 10 |
| 31.6% | 12.3% | 56.1% | 11 |
| 33.4% | 5.9% | 60.8% | 12 |
| 35.2% | 3.8% | 61% | 13 |
| 36.1% | 2.9% | 61% | 14 |
Compiled 34 to 22 computations (35.3% saved)
| 1× | intervals |
| 21.0ms | 256× | body | 128 | valid |
Compiled 69 to 45 computations (34.8% saved)
| 1× | egg-herbie |
| 725× | fma-def_binary64 |
| 669× | unsub-neg_binary64 |
| 596× | cancel-sign-sub-inv_binary64 |
| 340× | +-commutative_binary64 |
| 277× | fma-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 42 |
| 1 | 63 | 40 |
| 2 | 170 | 36 |
| 3 | 542 | 36 |
| 4 | 1867 | 32 |
| 5 | 3281 | 32 |
| 6 | 4881 | 32 |
| 7 | 4958 | 32 |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
| 0.2b | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1) | |
| ▶ | 0.0b | (+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4)) -1) |
Compiled 172 to 108 computations (37.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 a -3 1) |
| ✓ | 0.0b | (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) |
| ✓ | 0.1b | (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4)) |
| ✓ | 0.7b | (*.f64 (*.f64 b b) (fma.f64 a -3 1)) |
4 calls:
| 33.0ms | (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4)) |
| 13.0ms | (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) |
| 10.0ms | (*.f64 (*.f64 b b) (fma.f64 a -3 1)) |
| 1.0ms | (fma.f64 a -3 1) |
| 1× | rewrite-expression-head |
| 9× | add-cbrt-cube_binary64 |
| 9× | add-exp-log_binary64 |
| 9× | pow1_binary64 |
| 6× | add-sqr-sqrt_binary64 |
| 5× | fma-udef_binary64 |
4 calls:
| 4.0ms | (*.f64 (*.f64 b b) (fma.f64 a -3 1)) |
| 0.0ms | (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4)) |
| 0.0ms | (fma.f64 a -3 1) |
| 0.0ms | (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) |
| 1× | egg-herbie |
| 786× | fma-def_binary64 |
| 528× | fma-neg_binary64 |
| 415× | associate-+l+_binary64 |
| 313× | cancel-sign-sub-inv_binary64 |
| 229× | associate-+r+_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 2754 |
| 1 | 318 | 2352 |
| 2 | 969 | 2192 |
| 3 | 3184 | 2169 |
| 4 | 4818 | 2143 |
| 5 | 4983 | 2143 |
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 122 | 3 | 125 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 123 | 4 | 127 |
| Status | Error | Program |
| ▶ | 0.0b | (+.f64 (-.f64 (+.f64 (*.f64 4 (pow.f64 a 2)) (+.f64 (*.f64 4 (pow.f64 a 3)) (+.f64 (pow.f64 a 4) (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 4 (pow.f64 b 2)) (pow.f64 b 4)))))) (*.f64 12 (*.f64 a (pow.f64 b 2)))) -1) |
| 12.0b | (+.f64 (*.f64 (*.f64 a a) (+.f64 (*.f64 a (+.f64 4 a)) (+.f64 4 (*.f64 2 (*.f64 b b))))) -1) | |
| 0.2b | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1) | |
| 3.0b | (+.f64 (fma.f64 4 (pow.f64 a 3) (pow.f64 (hypot.f64 a b) 4)) -1) |
Compiled 3665 to 2075 computations (43.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (*.f64 4 (pow.f64 a 3)) (+.f64 (pow.f64 a 4) (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 4 (pow.f64 b 2)) (pow.f64 b 4))))) |
| ✓ | 0.2b | (*.f64 12 (*.f64 a (pow.f64 b 2))) |
| ✓ | 0.7b | (*.f64 a (pow.f64 b 2)) |
| ✓ | 2.8b | (*.f64 (pow.f64 a 2) (pow.f64 b 2)) |
4 calls:
| 24.0ms | (+.f64 (*.f64 4 (pow.f64 a 3)) (+.f64 (pow.f64 a 4) (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 4 (pow.f64 b 2)) (pow.f64 b 4))))) |
| 11.0ms | (*.f64 (pow.f64 a 2) (pow.f64 b 2)) |
| 11.0ms | (*.f64 a (pow.f64 b 2)) |
| 10.0ms | (*.f64 12 (*.f64 a (pow.f64 b 2))) |
| 1× | rewrite-expression-head |
| 34× | add-sqr-sqrt_binary64 |
| 31× | add-exp-log_binary64 |
| 20× | unswap-sqr_binary64 |
| 19× | prod-exp_binary64 |
| 18× | unpow-prod-down_binary64 |
4 calls:
| 16.0ms | (+.f64 (*.f64 4 (pow.f64 a 3)) (+.f64 (pow.f64 a 4) (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 4 (pow.f64 b 2)) (pow.f64 b 4))))) |
| 6.0ms | (*.f64 (pow.f64 a 2) (pow.f64 b 2)) |
| 4.0ms | (*.f64 12 (*.f64 a (pow.f64 b 2))) |
| 4.0ms | (*.f64 a (pow.f64 b 2)) |
| 1× | egg-herbie |
| 721× | distribute-rgt-in_binary64 |
| 689× | distribute-lft-in_binary64 |
| 537× | fma-def_binary64 |
| 217× | associate-*l*_binary64 |
| 214× | unswap-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 2295 |
| 1 | 409 | 1991 |
| 2 | 1507 | 1840 |
| 3 | 5493 | 1840 |
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 186 | 2 | 188 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 188 | 4 | 192 |
| Status | Error | Program |
| ▶ | 0.1b | (+.f64 (-.f64 (+.f64 (*.f64 4 (pow.f64 a 2)) (+.f64 (*.f64 (pow.f64 a 3) (+.f64 4 a)) (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 4 (pow.f64 b 2)) (pow.f64 b 4))))) (*.f64 12 (*.f64 a (pow.f64 b 2)))) -1) |
| 0.2b | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1) | |
| 3.0b | (+.f64 (fma.f64 4 (pow.f64 a 3) (pow.f64 (hypot.f64 a b) 4)) -1) | |
| 25.4b | (+.f64 (-.f64 (+.f64 (*.f64 4 (pow.f64 a 2)) (/.f64 (-.f64 (*.f64 (*.f64 4 (pow.f64 a 3)) (*.f64 4 (pow.f64 a 3))) (*.f64 (+.f64 (pow.f64 a 4) (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 4 (pow.f64 b 2)) (pow.f64 b 4)))) (+.f64 (pow.f64 a 4) (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 4 (pow.f64 b 2)) (pow.f64 b 4)))))) (-.f64 (*.f64 4 (pow.f64 a 3)) (+.f64 (pow.f64 a 4) (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 4 (pow.f64 b 2)) (pow.f64 b 4))))))) (*.f64 12 (*.f64 a (pow.f64 b 2)))) -1) |
Compiled 9916 to 7583 computations (23.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (*.f64 (pow.f64 a 3) (+.f64 4 a)) |
| 0.2b | (*.f64 12 (*.f64 a (pow.f64 b 2))) | |
| 0.7b | (*.f64 a (pow.f64 b 2)) | |
| 2.8b | (*.f64 (pow.f64 a 2) (pow.f64 b 2)) |
1 calls:
| 3.0ms | (*.f64 (pow.f64 a 3) (+.f64 4 a)) |
| 1× | rewrite-expression-head |
| 12× | associate-*l*_binary64 |
| 12× | add-sqr-sqrt_binary64 |
| 7× | *-un-lft-identity_binary64 |
| 6× | add-exp-log_binary64 |
| 5× | add-cube-cbrt_binary64 |
1 calls:
| 6.0ms | (*.f64 (pow.f64 a 3) (+.f64 4 a)) |
| 1× | egg-herbie |
| 971× | fma-def_binary64 |
| 348× | sqr-pow_binary64 |
| 340× | *-commutative_binary64 |
| 308× | associate-+l+_binary64 |
| 297× | associate-+r+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 623 |
| 1 | 178 | 591 |
| 2 | 818 | 591 |
| 3 | 2091 | 567 |
| 4 | 4420 | 567 |
| 5 | 5174 | 567 |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 193 | 0 | 193 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 193 | 4 | 197 |
| Status | Error | Program |
| ✓ | 0.1b | (+.f64 (-.f64 (+.f64 (*.f64 4 (pow.f64 a 2)) (+.f64 (*.f64 (pow.f64 a 3) (+.f64 4 a)) (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 4 (pow.f64 b 2)) (pow.f64 b 4))))) (*.f64 12 (*.f64 a (pow.f64 b 2)))) -1) |
| ▶ | 0.2b | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1) |
| 3.0b | (+.f64 (fma.f64 4 (pow.f64 a 3) (pow.f64 (hypot.f64 a b) 4)) -1) | |
| 25.4b | (+.f64 (-.f64 (+.f64 (*.f64 4 (pow.f64 a 2)) (/.f64 (-.f64 (*.f64 (*.f64 4 (pow.f64 a 3)) (*.f64 4 (pow.f64 a 3))) (*.f64 (+.f64 (pow.f64 a 4) (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 4 (pow.f64 b 2)) (pow.f64 b 4)))) (+.f64 (pow.f64 a 4) (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 4 (pow.f64 b 2)) (pow.f64 b 4)))))) (-.f64 (*.f64 4 (pow.f64 a 3)) (+.f64 (pow.f64 a 4) (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 4 (pow.f64 b 2)) (pow.f64 b 4))))))) (*.f64 12 (*.f64 a (pow.f64 b 2)))) -1) |
Compiled 9768 to 7451 computations (23.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) |
| ✓ | 0.0b | (*.f64 (*.f64 a a) (+.f64 1 a)) |
| ✓ | 0.3b | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) |
| ✓ | 0.7b | (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) |
4 calls:
| 28.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) |
| 12.0ms | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) |
| 10.0ms | (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) |
| 4.0ms | (*.f64 (*.f64 a a) (+.f64 1 a)) |
| 1× | rewrite-expression-head |
| 15× | add-exp-log_binary64 |
| 15× | pow1_binary64 |
| 14× | *-un-lft-identity_binary64 |
| 14× | add-sqr-sqrt_binary64 |
| 14× | add-cbrt-cube_binary64 |
4 calls:
| 8.0ms | (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a))) |
| 8.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) |
| 6.0ms | (*.f64 (*.f64 a a) (+.f64 1 a)) |
| 3.0ms | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) |
| 1× | egg-herbie |
| 870× | distribute-rgt-in_binary64 |
| 807× | distribute-lft-in_binary64 |
| 278× | cancel-sign-sub-inv_binary64 |
| 257× | associate-*l*_binary64 |
| 213× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 209 | 3661 |
| 1 | 577 | 3211 |
| 2 | 1997 | 3007 |
| 3 | 5819 | 3007 |
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 189 | 1 | 190 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 190 | 4 | 194 |
| Status | Error | Program |
| ✓ | 0.1b | (+.f64 (-.f64 (+.f64 (*.f64 4 (pow.f64 a 2)) (+.f64 (*.f64 (pow.f64 a 3) (+.f64 4 a)) (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (*.f64 4 (pow.f64 b 2)) (pow.f64 b 4))))) (*.f64 12 (*.f64 a (pow.f64 b 2)))) -1) |
| ✓ | 0.2b | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1) |
| 0.5b | (-.f64 (+.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4))) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4))) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1) | |
| 3.0b | (+.f64 (fma.f64 4 (pow.f64 a 3) (pow.f64 (hypot.f64 a b) 4)) -1) |
Compiled 7158 to 4058 computations (43.3% saved)
Total 0.0b remaining (56.5%)
Threshold costs 0.0b (56.5%)
Compiled 31256 to 21754 computations (30.4% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-lft-identity_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 32 |
| 1 | 22 | 32 |
| 2 | 21 | 32 |
Compiled 25 to 16 computations (36% saved)
| 1× | intervals |
| 662.0ms | 8000× | body | 128 | valid |
| 0.0ms | 2× | body | 128 | invalid |
Compiled 197 to 138 computations (29.9% saved)
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