Time bar (total: 10.8s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 99.9% | 0% | 0.1% | 1 |
Compiled 10 to 7 computations (30% saved)
| 1× | intervals |
| 61.0ms | 80× | body | 2048 | valid |
| 50.0ms | 119× | body | 1024 | valid |
| 8.0ms | 36× | body | 512 | valid |
| 3.0ms | 16× | body | 256 | valid |
| 0.0ms | 5× | body | 128 | valid |
Compiled 21 to 15 computations (28.6% saved)
| 1× | egg-herbie |
| 39× | fma-def_binary64 |
| 32× | fma-neg_binary64 |
| 14× | cancel-sign-sub-inv_binary64 |
| 12× | sub-neg_binary64 |
| 10× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 10 | 11 |
| 2 | 15 | 11 |
| 3 | 22 | 11 |
| 4 | 29 | 11 |
| 5 | 46 | 11 |
| 6 | 72 | 11 |
| 7 | 93 | 11 |
| 8 | 110 | 11 |
| 9 | 120 | 11 |
| 10 | 124 | 11 |
| 11 | 126 | 11 |
| 12 | 112 | 11 |
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 |
| ▶ | 40.2b | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 27 to 18 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.6b | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| ✓ | 1.7b | (cos.f64 (+.f64 x eps)) |
2 calls:
| 8.0ms | (cos.f64 (+.f64 x eps)) |
| 7.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 1× | rewrite-expression-head |
| 12× | *-un-lft-identity_binary64 |
| 12× | add-sqr-sqrt_binary64 |
| 10× | add-cube-cbrt_binary64 |
| 9× | prod-diff_binary64 |
| 4× | add-log-exp_binary64 |
2 calls:
| 7.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 3.0ms | (cos.f64 (+.f64 x eps)) |
| 1× | egg-herbie |
| 757× | fma-neg_binary64 |
| 498× | cancel-sign-sub-inv_binary64 |
| 477× | fma-def_binary64 |
| 311× | sub-neg_binary64 |
| 244× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 134 | 1274 |
| 1 | 309 | 1207 |
| 2 | 965 | 1144 |
| 3 | 2373 | 1120 |
| 4 | 4522 | 1120 |
| 5 | 4838 | 1120 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 85 | 7 | 92 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 86 | 7 | 93 |
| Status | Error | Program |
| 28.7b | (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) | |
| 40.2b | (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (+.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) | |
| 26.2b | (neg.f64 (fma.f64 eps (sin.f64 x) (*.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps))))) | |
| 40.2b | (cbrt.f64 (*.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) | |
| ▶ | 11.7b | (*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))) |
| 28.7b | (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) | |
| 28.8b | (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))) |
Compiled 1839 to 620 computations (66.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))) |
| ✓ | 0.0b | (+.f64 x (+.f64 eps x)) |
| ✓ | 0.2b | (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))) |
| ✓ | 1.8b | (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)) |
4 calls:
| 33.0ms | (*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))) |
| 24.0ms | (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))) |
| 9.0ms | (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)) |
| 8.0ms | (+.f64 x (+.f64 eps x)) |
| 1× | rewrite-expression-head |
| 13× | *-un-lft-identity_binary64 |
| 11× | add-cbrt-cube_binary64 |
| 11× | add-exp-log_binary64 |
| 11× | pow1_binary64 |
| 10× | add-sqr-sqrt_binary64 |
4 calls:
| 20.0ms | (*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))) |
| 18.0ms | (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))) |
| 13.0ms | (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)) |
| 8.0ms | (+.f64 x (+.f64 eps x)) |
| 1× | egg-herbie |
| 549× | fma-def_binary64 |
| 428× | *-commutative_binary64 |
| 417× | cancel-sign-sub-inv_binary64 |
| 354× | sub-neg_binary64 |
| 330× | distribute-rgt-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 3349 |
| 1 | 500 | 2908 |
| 2 | 1528 | 2564 |
| 3 | 3686 | 2549 |
| 4 | 4710 | 2549 |
| 5 | 4985 | 2549 |
| 6 | 4925 | 2549 |
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 157 | 7 | 164 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 159 | 12 | 171 |
| Status | Error | Program |
| 28.7b | (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) | |
| 35.5b | (*.f64 -2 (*.f64 (sqrt.f64 (sin.f64 (/.f64 eps 2))) (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sqrt.f64 (sin.f64 (/.f64 eps 2)))))) | |
| 28.7b | (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) | |
| 32.6b | (*.f64 -2 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))) 3))) | |
| 28.8b | (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))) | |
| 22.2b | (*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))))) | |
| 26.2b | (neg.f64 (fma.f64 eps (sin.f64 x) (*.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps))))) | |
| ▶ | 11.8b | (*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (expm1.f64 (log1p.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))))) |
| 43.9b | (*.f64 -2 (exp.f64 (+.f64 (log.f64 (sin.f64 (/.f64 eps 2))) (log.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))))) | |
| 40.2b | (cbrt.f64 (*.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) | |
| 14.3b | (*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3)))) | |
| 23.8b | (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))) (sqrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))))) |
Compiled 4095 to 2837 computations (30.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 (sin.f64 (/.f64 eps 2)) (expm1.f64 (log1p.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))) |
| ✓ | 0.3b | (expm1.f64 (log1p.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))) |
| ✓ | 0.3b | (log1p.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) |
| ✓ | 1.8b | (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) |
4 calls:
| 495.0ms | (log1p.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) |
| 12.0ms | (*.f64 (sin.f64 (/.f64 eps 2)) (expm1.f64 (log1p.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))) |
| 9.0ms | (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) |
| 5.0ms | (expm1.f64 (log1p.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))) |
| 1× | rewrite-expression-head |
| 8× | add-sqr-sqrt_binary64 |
| 6× | *-un-lft-identity_binary64 |
| 6× | add-cube-cbrt_binary64 |
| 6× | add-cbrt-cube_binary64 |
| 6× | add-exp-log_binary64 |
4 calls:
| 4.0ms | (*.f64 (sin.f64 (/.f64 eps 2)) (expm1.f64 (log1p.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))) |
| 2.0ms | (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) |
| 0.0ms | (log1p.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) |
| 0.0ms | (expm1.f64 (log1p.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))) |
| 1× | egg-herbie |
| 919× | times-frac_binary64 |
| 443× | fma-def_binary64 |
| 391× | cancel-sign-sub-inv_binary64 |
| 386× | fma-neg_binary64 |
| 161× | distribute-rgt-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 2974 |
| 1 | 501 | 2792 |
| 2 | 1741 | 2696 |
| 3 | 4560 | 2680 |
| 4 | 5022 | 2680 |
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 113 | 2 | 115 |
| Fresh | 1 | 10 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 115 | 12 | 127 |
| Status | Error | Program |
| 28.7b | (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) | |
| 35.5b | (*.f64 -2 (*.f64 (sqrt.f64 (sin.f64 (/.f64 eps 2))) (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sqrt.f64 (sin.f64 (/.f64 eps 2)))))) | |
| 23.8b | (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))) (sqrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))))) | |
| 43.9b | (*.f64 -2 (exp.f64 (+.f64 (log.f64 (sin.f64 (/.f64 eps 2))) (log.f64 (expm1.f64 (log1p.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))))))) | |
| ▶ | 14.2b | (*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) 3))))) |
| 28.7b | (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) | |
| 32.6b | (*.f64 -2 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))) 3))) | |
| 28.8b | (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))) | |
| 22.2b | (*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))))) | |
| 26.2b | (neg.f64 (fma.f64 eps (sin.f64 x) (*.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps))))) | |
| 40.2b | (cbrt.f64 (*.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) | |
| 14.3b | (*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3)))) |
Compiled 3647 to 2795 computations (23.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.3b | (log1p.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) | |
| ✓ | 0.5b | (pow.f64 (log1p.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) 3) |
| 1.8b | (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) | |
| ✓ | 7.9b | (cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) 3)) |
2 calls:
| 980.0ms | (pow.f64 (log1p.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) 3) |
| 785.0ms | (cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) 3)) |
| 1× | rewrite-expression-head |
| 12× | cbrt-prod_binary64 |
| 8× | *-un-lft-identity_binary64 |
| 8× | add-sqr-sqrt_binary64 |
| 8× | add-cube-cbrt_binary64 |
| 6× | cube-prod_binary64 |
2 calls:
| 3.0ms | (pow.f64 (log1p.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) 3) |
| 3.0ms | (cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) 3)) |
| 1× | egg-herbie |
| 896× | fma-def_binary64 |
| 368× | unswap-sqr_binary64 |
| 252× | associate-*r*_binary64 |
| 230× | cancel-sign-sub-inv_binary64 |
| 174× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 239 | 3188 |
| 1 | 721 | 3037 |
| 2 | 3066 | 2962 |
| 3 | 4883 | 2962 |
| 4 | 5070 | 2962 |
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 144 | 1 | 145 |
| Fresh | 0 | 11 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 145 | 12 | 157 |
| Status | Error | Program |
| 28.7b | (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) | |
| 35.5b | (*.f64 -2 (*.f64 (sqrt.f64 (sin.f64 (/.f64 eps 2))) (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sqrt.f64 (sin.f64 (/.f64 eps 2)))))) | |
| 23.8b | (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))) (sqrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))))) | |
| 43.9b | (*.f64 -2 (exp.f64 (+.f64 (log.f64 (sin.f64 (/.f64 eps 2))) (log.f64 (expm1.f64 (log1p.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))))))) | |
| 28.7b | (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) | |
| 32.6b | (*.f64 -2 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))) 3))) | |
| 28.8b | (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))) | |
| 22.2b | (*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))))) | |
| 26.2b | (neg.f64 (fma.f64 eps (sin.f64 x) (*.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps))))) | |
| 23.1b | (*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (expm1.f64 (cbrt.f64 (log.f64 (exp.f64 (pow.f64 (log1p.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) 3))))))) | |
| 40.2b | (cbrt.f64 (*.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) | |
| 14.3b | (*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3)))) |
Compiled 6241 to 4862 computations (22.1% saved)
Total 0.3b remaining (52.4%)
Threshold costs 0.3b (52.4%)
Compiled 8027 to 5906 computations (26.4% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 9 | 1.4471309635938159e-8 | 0.6512744844284002 | 0.002642006392618735 |
| 10 | -67351557194.80865 | -1.7125811283861844e-7 | -0.0032009189843879215 |
Compiled 3 to 2 computations (33.3% saved)
| 1× | egg-herbie |
| 12× | *-commutative_binary64 |
| 11× | +-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 92 |
| 1 | 53 | 92 |
| 2 | 72 | 92 |
| 3 | 84 | 92 |
| 4 | 91 | 92 |
| 5 | 92 | 92 |
| 6 | 92 | 92 |
Compiled 61 to 33 computations (45.9% saved)
| 1× | intervals |
| 2.2s | 2044× | body | 2048 | valid |
| 2.0s | 3814× | body | 1024 | valid |
| 365.0ms | 1345× | body | 512 | valid |
| 103.0ms | 536× | body | 256 | valid |
| 25.0ms | 260× | body | 128 | valid |
| 2.0ms | 1× | body | 4096 | valid |
Compiled 315 to 219 computations (30.5% saved)
Loading profile data...