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% | 53.1% | 22% | 7 |
| 25% | 46.8% | 28.2% | 8 |
| 25% | 33.6% | 41.5% | 9 |
| 28.1% | 18% | 54% | 10 |
| 31.6% | 12.1% | 56.3% | 11 |
| 33.4% | 5.9% | 60.8% | 12 |
| 35.2% | 3.8% | 61% | 13 |
| 36.1% | 2.9% | 61% | 14 |
Compiled 32 to 20 computations (37.5% saved)
| 1× | intervals |
| 21.0ms | 256× | body | 128 | valid |
| 0.0ms | 1× | body | 128 | invalid |
Compiled 65 to 41 computations (36.9% saved)
| 1× | egg-herbie |
| 620× | fma-def_binary64 |
| 556× | cancel-sign-sub-inv_binary64 |
| 552× | unswap-sqr_binary64 |
| 357× | unsub-neg_binary64 |
| 344× | +-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 39 |
| 1 | 57 | 37 |
| 2 | 168 | 37 |
| 3 | 492 | 37 |
| 4 | 1604 | 33 |
| 5 | 2891 | 33 |
| 6 | 4309 | 33 |
| 7 | 5214 | 33 |
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 |
| ▶ | 0.0b | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -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 3 a))))) 1) |
Compiled 166 to 104 computations (37.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| ✓ | 0.0b | (pow.f64 (hypot.f64 a b) 4) |
| ✓ | 0.1b | (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) |
| ✓ | 1.3b | (*.f64 (*.f64 b b) (+.f64 a 3)) |
4 calls:
| 42.0ms | (pow.f64 (hypot.f64 a b) 4) |
| 40.0ms | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 11.0ms | (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) |
| 8.0ms | (*.f64 (*.f64 b b) (+.f64 a 3)) |
| 1× | rewrite-expression-head |
| 13× | *-un-lft-identity_binary64 |
| 10× | add-sqr-sqrt_binary64 |
| 10× | add-exp-log_binary64 |
| 10× | pow1_binary64 |
| 9× | add-cube-cbrt_binary64 |
4 calls:
| 9.0ms | (*.f64 (*.f64 b b) (+.f64 a 3)) |
| 4.0ms | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 2.0ms | (pow.f64 (hypot.f64 a b) 4) |
| 0.0ms | (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) |
| 1× | egg-herbie |
| 574× | associate-+l+_binary64 |
| 469× | distribute-rgt-in_binary64 |
| 453× | distribute-lft-in_binary64 |
| 338× | associate--l+_binary64 |
| 219× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 174 | 3413 |
| 1 | 464 | 3143 |
| 2 | 1556 | 3045 |
| 3 | 5074 | 3045 |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 158 | 4 | 162 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 159 | 5 | 164 |
| Status | Error | Program |
| ✓ | 0.0b | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 11.3b | (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 a (+.f64 4 (*.f64 2 a))) 12)) (fma.f64 (*.f64 a a) 4 (+.f64 (*.f64 (pow.f64 a 3) (-.f64 a 4)) -1))) | |
| ▶ | 0.2b | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 0.5b | (+.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))) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) | |
| 12.1b | (+.f64 -1 (fma.f64 (*.f64 b b) 12 (pow.f64 b 4))) |
Compiled 5053 to 2958 computations (41.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 0.1b | (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) | |
| ✓ | 0.4b | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) |
| 1.3b | (*.f64 (*.f64 b b) (+.f64 a 3)) |
2 calls:
| 34.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 13.0ms | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) |
| 1× | rewrite-expression-head |
| 8× | fma-def_binary64 |
| 8× | *-un-lft-identity_binary64 |
| 6× | add-sqr-sqrt_binary64 |
| 6× | unpow-prod-down_binary64 |
| 6× | add-cube-cbrt_binary64 |
2 calls:
| 7.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 4.0ms | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) |
| 1× | egg-herbie |
| 833× | fma-neg_binary64 |
| 753× | fma-def_binary64 |
| 561× | associate-+l+_binary64 |
| 335× | associate--l+_binary64 |
| 227× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 111 | 2281 |
| 1 | 319 | 2122 |
| 2 | 974 | 1866 |
| 3 | 4701 | 1852 |
| 4 | 5409 | 1852 |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 169 | 0 | 169 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 169 | 5 | 174 |
| Status | Error | Program |
| ✓ | 0.0b | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 11.3b | (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 a (+.f64 4 (*.f64 2 a))) 12)) (fma.f64 (*.f64 a a) 4 (+.f64 (*.f64 (pow.f64 a 3) (-.f64 a 4)) -1))) | |
| ✓ | 0.2b | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| ▶ | 0.5b | (+.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))) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 12.1b | (+.f64 -1 (fma.f64 (*.f64 b b) 12 (pow.f64 b 4))) |
Compiled 5781 to 3033 computations (47.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (*.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))) |
| ✓ | 0.4b | (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4))) |
| 1.3b | (*.f64 (*.f64 b b) (+.f64 a 3)) | |
| ✓ | 17.4b | (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) |
3 calls:
| 64.0ms | (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4))) |
| 51.0ms | (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) |
| 40.0ms | (*.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))) |
| 1× | rewrite-expression-head |
| 69× | cbrt-prod_binary64 |
| 47× | add-sqr-sqrt_binary64 |
| 29× | pow1_binary64 |
| 27× | unpow-prod-down_binary64 |
| 20× | associate-*r*_binary64 |
3 calls:
| 11.0ms | (*.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))) |
| 8.0ms | (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4))) |
| 1.0ms | (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) |
| 1× | egg-herbie |
| 475× | fma-neg_binary64 |
| 388× | fma-def_binary64 |
| 356× | cancel-sign-sub-inv_binary64 |
| 346× | *-commutative_binary64 |
| 305× | sqr-pow_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 202 | 4349 |
| 1 | 452 | 4264 |
| 2 | 1286 | 3883 |
| 3 | 2509 | 3825 |
| 4 | 3731 | 3345 |
| 5 | 4806 | 3345 |
| 6 | 4987 | 3345 |
| 7 | 4906 | 3345 |
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 317 | 0 | 317 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 317 | 5 | 322 |
| Status | Error | Program |
| ✓ | 0.0b | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| ▶ | 11.3b | (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 a (+.f64 4 (*.f64 2 a))) 12)) (fma.f64 (*.f64 a a) 4 (+.f64 (*.f64 (pow.f64 a 3) (-.f64 a 4)) -1))) |
| ✓ | 0.2b | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| ✓ | 0.5b | (+.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))) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 12.1b | (+.f64 -1 (fma.f64 (*.f64 b b) 12 (pow.f64 b 4))) |
Compiled 14656 to 8667 computations (40.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 (*.f64 a a) 4 (+.f64 (*.f64 (pow.f64 a 3) (-.f64 a 4)) -1)) |
| ✓ | 0.0b | (*.f64 a (+.f64 4 (*.f64 2 a))) |
| ✓ | 0.1b | (*.f64 (pow.f64 a 3) (-.f64 a 4)) |
| ✓ | 1.7b | (*.f64 (*.f64 b b) (+.f64 (*.f64 a (+.f64 4 (*.f64 2 a))) 12)) |
4 calls:
| 20.0ms | (*.f64 (*.f64 b b) (+.f64 (*.f64 a (+.f64 4 (*.f64 2 a))) 12)) |
| 3.0ms | (*.f64 (pow.f64 a 3) (-.f64 a 4)) |
| 3.0ms | (fma.f64 (*.f64 a a) 4 (+.f64 (*.f64 (pow.f64 a 3) (-.f64 a 4)) -1)) |
| 3.0ms | (*.f64 a (+.f64 4 (*.f64 2 a))) |
| 1× | rewrite-expression-head |
| 37× | add-sqr-sqrt_binary64 |
| 27× | *-un-lft-identity_binary64 |
| 25× | add-cube-cbrt_binary64 |
| 18× | prod-diff_binary64 |
| 16× | associate-*l*_binary64 |
4 calls:
| 13.0ms | (*.f64 (*.f64 b b) (+.f64 (*.f64 a (+.f64 4 (*.f64 2 a))) 12)) |
| 8.0ms | (*.f64 (pow.f64 a 3) (-.f64 a 4)) |
| 5.0ms | (*.f64 a (+.f64 4 (*.f64 2 a))) |
| 0.0ms | (fma.f64 (*.f64 a a) 4 (+.f64 (*.f64 (pow.f64 a 3) (-.f64 a 4)) -1)) |
| 1× | egg-herbie |
| 670× | fma-neg_binary64 |
| 649× | exp-prod_binary64 |
| 401× | associate-*l*_binary64 |
| 342× | associate-*r*_binary64 |
| 210× | log-prod_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 241 | 3003 |
| 1 | 536 | 2361 |
| 2 | 2222 | 2357 |
| 3 | 4009 | 2318 |
| 4 | 4795 | 2318 |
| 5 | 5042 | 2318 |
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 208 | 0 | 208 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 208 | 5 | 213 |
| Status | Error | Program |
| ✓ | 0.0b | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| ✓ | 11.3b | (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 a (+.f64 4 (*.f64 2 a))) 12)) (fma.f64 (*.f64 a a) 4 (+.f64 (*.f64 (pow.f64 a 3) (-.f64 a 4)) -1))) |
| ✓ | 0.2b | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| ✓ | 0.5b | (+.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))) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 12.1b | (+.f64 -1 (fma.f64 (*.f64 b b) 12 (pow.f64 b 4))) |
Compiled 7557 to 5099 computations (32.5% saved)
Total 0.0b remaining (64.4%)
Threshold costs 0.0b (64.4%)
Compiled 18405 to 12707 computations (31% saved)
| 1× | egg-herbie |
| 4× | +-commutative_binary64 |
| 2× | *-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 33 |
| 1 | 24 | 33 |
| 2 | 27 | 33 |
| 3 | 29 | 33 |
| 4 | 30 | 33 |
| 5 | 29 | 33 |
Compiled 25 to 17 computations (32% saved)
| 1× | intervals |
| 717.0ms | 8000× | body | 128 | valid |
| 0.0ms | 6× | body | 128 | invalid |
Compiled 195 to 130 computations (33.3% saved)
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