Time bar (total: 11.7s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 49.9% | 50.1% | 0 |
| 0% | 49.9% | 50.1% | 1 |
| 0% | 49.9% | 50.1% | 2 |
| 0% | 49.9% | 50.1% | 3 |
| 0% | 49.9% | 50.1% | 4 |
| 0% | 49.9% | 50.1% | 5 |
| 0% | 49.9% | 50.1% | 6 |
| 0% | 49.9% | 50.1% | 7 |
| 0% | 49.9% | 50.1% | 8 |
| 0.4% | 49.5% | 50.1% | 9 |
| 0.4% | 49.3% | 50.3% | 10 |
| 0.6% | 48.9% | 50.5% | 11 |
| 1.1% | 48.1% | 50.9% | 12 |
| 1.5% | 47.3% | 51.2% | 13 |
| 1.7% | 46.9% | 51.5% | 14 |
Compiled 34 to 24 computations (29.4% saved)
| 1× | intervals |
| 126.0ms | 129× | body | 2048 | valid |
| 41.0ms | 89× | body | 1024 | valid |
| 9.0ms | 24× | body | 1024 | overflowed |
| 7.0ms | 311× | pre | 128 | true |
| 5.0ms | 18× | body | 512 | valid |
| 4.0ms | 7× | body | 2048 | overflowed |
| 3.0ms | 13× | body | 512 | overflowed |
| 3.0ms | 2× | body | 4096 | valid |
| 1.0ms | 14× | body | 128 | valid |
| 1.0ms | 4× | body | 256 | valid |
| 1.0ms | 7× | body | 128 | overflowed |
| 1.0ms | 1× | body | 2048 | invalid |
| 1.0ms | 3× | body | 256 | overflowed |
Compiled 64 to 46 computations (28.1% saved)
| 1× | egg-herbie |
| 986× | times-frac_binary64 |
| 580× | associate-/l*_binary64 |
| 372× | fma-def_binary64 |
| 126× | distribute-rgt-in_binary64 |
| 122× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 28 |
| 1 | 47 | 28 |
| 2 | 108 | 28 |
| 3 | 254 | 28 |
| 4 | 897 | 28 |
| 5 | 5292 | 28 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
| ▶ | 43.1b | (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))) |
Compiled 87 to 54 computations (37.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (expm1.f64 (*.f64 eps (+.f64 a b))) |
| ✓ | 0.1b | (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) |
| ✓ | 0.7b | (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b))) |
| ✓ | 40.9b | (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))) |
4 calls:
| 288.0ms | (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))) |
| 37.0ms | (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b))) |
| 30.0ms | (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) |
| 19.0ms | (expm1.f64 (*.f64 eps (+.f64 a b))) |
| 1× | rewrite-expression-head |
| 20× | add-cbrt-cube_binary64 |
| 20× | add-exp-log_binary64 |
| 12× | add-sqr-sqrt_binary64 |
| 8× | *-un-lft-identity_binary64 |
| 8× | add-cube-cbrt_binary64 |
4 calls:
| 4.0ms | (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))) |
| 3.0ms | (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) |
| 3.0ms | (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b))) |
| 0.0ms | (expm1.f64 (*.f64 eps (+.f64 a b))) |
| 1× | egg-herbie |
| 828× | fma-def_binary64 |
| 622× | times-frac_binary64 |
| 470× | associate-/l*_binary64 |
| 249× | *-commutative_binary64 |
| 191× | +-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 646 | 8872 |
| 1 | 2166 | 8105 |
| 2 | 5325 | 8105 |
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 224 | 5 | 229 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 225 | 5 | 230 |
| Status | Error | Program |
| 53.0b | (cbrt.f64 (pow.f64 (/.f64 (*.f64 eps (expm1.f64 (*.f64 (+.f64 a b) eps))) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) 3)) | |
| ▶ | 5.3b | (fma.f64 1/12 (*.f64 a (*.f64 eps eps)) (+.f64 (/.f64 1 b) (fma.f64 1/12 (*.f64 b (*.f64 eps eps)) (/.f64 1 a)))) |
| 57.2b | (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (-.f64 (fma.f64 eps (*.f64 b (exp.f64 (*.f64 a eps))) (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (*.f64 a eps)) (*.f64 b b))))) (fma.f64 b eps (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 b b)))))) | |
| 43.1b | (/.f64 1 (/.f64 (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b))) (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))))) | |
| 44.0b | (/.f64 (*.f64 eps (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (+.f64 a b) eps)) 3))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))) |
Compiled 11578 to 3927 computations (66.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 1/12 (*.f64 a (*.f64 eps eps)) (+.f64 (/.f64 1 b) (fma.f64 1/12 (*.f64 b (*.f64 eps eps)) (/.f64 1 a)))) |
| ✓ | 0.0b | (fma.f64 1/12 (*.f64 b (*.f64 eps eps)) (/.f64 1 a)) |
| ✓ | 6.3b | (*.f64 a (*.f64 eps eps)) |
| ✓ | 6.5b | (*.f64 b (*.f64 eps eps)) |
4 calls:
| 31.0ms | (fma.f64 1/12 (*.f64 a (*.f64 eps eps)) (+.f64 (/.f64 1 b) (fma.f64 1/12 (*.f64 b (*.f64 eps eps)) (/.f64 1 a)))) |
| 20.0ms | (fma.f64 1/12 (*.f64 b (*.f64 eps eps)) (/.f64 1 a)) |
| 11.0ms | (*.f64 a (*.f64 eps eps)) |
| 8.0ms | (*.f64 b (*.f64 eps eps)) |
| 1× | rewrite-expression-head |
| 14× | add-cbrt-cube_binary64 |
| 14× | add-exp-log_binary64 |
| 14× | pow1_binary64 |
| 8× | add-sqr-sqrt_binary64 |
| 6× | associate-*l*_binary64 |
4 calls:
| 5.0ms | (*.f64 b (*.f64 eps eps)) |
| 4.0ms | (*.f64 a (*.f64 eps eps)) |
| 0.0ms | (fma.f64 1/12 (*.f64 a (*.f64 eps eps)) (+.f64 (/.f64 1 b) (fma.f64 1/12 (*.f64 b (*.f64 eps eps)) (/.f64 1 a)))) |
| 0.0ms | (fma.f64 1/12 (*.f64 b (*.f64 eps eps)) (/.f64 1 a)) |
| 1× | egg-herbie |
| 766× | unswap-sqr_binary64 |
| 610× | fma-def_binary64 |
| 470× | associate-*l*_binary64 |
| 333× | associate-*r*_binary64 |
| 295× | associate-+r+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 2698 |
| 1 | 202 | 2339 |
| 2 | 549 | 2269 |
| 3 | 1651 | 2269 |
| 4 | 3788 | 2269 |
| 5 | 5058 | 2269 |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 121 | 1 | 122 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 124 | 3 | 127 |
| Status | Error | Program |
| 57.2b | (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (-.f64 (fma.f64 eps (*.f64 b (exp.f64 (*.f64 a eps))) (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (*.f64 a eps)) (*.f64 b b))))) (fma.f64 b eps (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 b b)))))) | |
| ▶ | 2.6b | (+.f64 (/.f64 1 b) (/.f64 1 a)) |
| 44.0b | (/.f64 (*.f64 eps (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (+.f64 a b) eps)) 3))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))) |
Compiled 3152 to 1528 computations (51.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (/.f64 1 b) (/.f64 1 a)) |
1 calls:
| 6.0ms | (+.f64 (/.f64 1 b) (/.f64 1 a)) |
| 1× | rewrite-expression-head |
| 20× | *-un-lft-identity_binary64 |
| 15× | times-frac_binary64 |
| 13× | fma-def_binary64 |
| 10× | add-sqr-sqrt_binary64 |
| 10× | add-cube-cbrt_binary64 |
1 calls:
| 11.0ms | (+.f64 (/.f64 1 b) (/.f64 1 a)) |
| 1× | egg-herbie |
| 450× | fma-neg_binary64 |
| 421× | div-sub_binary64 |
| 357× | fma-def_binary64 |
| 329× | sub-neg_binary64 |
| 281× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 332 |
| 1 | 106 | 302 |
| 2 | 241 | 301 |
| 3 | 565 | 301 |
| 4 | 1313 | 301 |
| 5 | 2794 | 301 |
| 6 | 4202 | 301 |
| 7 | 4546 | 301 |
| 8 | 4845 | 301 |
| 9 | 4973 | 301 |
| 10 | 4870 | 301 |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 37 | 0 | 37 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 37 | 3 | 40 |
| Status | Error | Program |
| 57.2b | (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (-.f64 (fma.f64 eps (*.f64 b (exp.f64 (*.f64 a eps))) (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (*.f64 a eps)) (*.f64 b b))))) (fma.f64 b eps (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 b b)))))) | |
| ✓ | 2.6b | (+.f64 (/.f64 1 b) (/.f64 1 a)) |
| ▶ | 44.0b | (/.f64 (*.f64 eps (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (+.f64 a b) eps)) 3))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))) |
Compiled 669 to 470 computations (29.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (pow.f64 (expm1.f64 (*.f64 (+.f64 a b) eps)) 3) |
| 0.7b | (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b))) | |
| ✓ | 22.0b | (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (+.f64 a b) eps)) 3)) |
| ✓ | 40.9b | (/.f64 (*.f64 eps (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (+.f64 a b) eps)) 3))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))) |
3 calls:
| 336.0ms | (/.f64 (*.f64 eps (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (+.f64 a b) eps)) 3))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))) |
| 83.0ms | (pow.f64 (expm1.f64 (*.f64 (+.f64 a b) eps)) 3) |
| 16.0ms | (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (+.f64 a b) eps)) 3)) |
| 1× | rewrite-expression-head |
| 16× | add-exp-log_binary64 |
| 14× | add-cbrt-cube_binary64 |
| 12× | cbrt-prod_binary64 |
| 9× | *-un-lft-identity_binary64 |
| 9× | add-sqr-sqrt_binary64 |
3 calls:
| 6.0ms | (/.f64 (*.f64 eps (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (+.f64 a b) eps)) 3))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))) |
| 1.0ms | (pow.f64 (expm1.f64 (*.f64 (+.f64 a b) eps)) 3) |
| 1.0ms | (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (+.f64 a b) eps)) 3)) |
| 1× | egg-herbie |
| 897× | fma-def_binary64 |
| 618× | times-frac_binary64 |
| 265× | *-commutative_binary64 |
| 211× | +-commutative_binary64 |
| 178× | associate-+r+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 712 | 8528 |
| 1 | 2377 | 7884 |
| 2 | 4981 | 7880 |
| 3 | 4964 | 7880 |
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 230 | 0 | 230 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 230 | 3 | 233 |
| Status | Error | Program |
| 57.2b | (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (-.f64 (fma.f64 eps (*.f64 b (exp.f64 (*.f64 a eps))) (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (*.f64 a eps)) (*.f64 b b))))) (fma.f64 b eps (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 b b)))))) | |
| ✓ | 2.6b | (+.f64 (/.f64 1 b) (/.f64 1 a)) |
| ✓ | 44.0b | (/.f64 (*.f64 eps (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (+.f64 a b) eps)) 3))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))) |
Compiled 13312 to 5389 computations (59.5% saved)
Total 0.3b remaining (89.9%)
Threshold costs 0.3b (89.9%)
Compiled 8926 to 5660 computations (36.6% saved)
Compiled 27 to 19 computations (29.6% saved)
| 1× | egg-herbie |
| 7× | *-commutative_binary64 |
| 5× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 1× | 1-exp_binary64 |
| 1× | if-if-or-not_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 128 |
| 1 | 55 | 128 |
| 2 | 58 | 128 |
| 3 | 56 | 128 |
(sort a b)
Compiled 255 to 144 computations (43.5% saved)
| 1× | intervals |
| 3.5s | 4012× | body | 2048 | valid |
| 1.2s | 2446× | body | 1024 | valid |
| 236.0ms | 9632× | pre | 128 | true |
| 226.0ms | 762× | body | 512 | valid |
| 211.0ms | 540× | body | 1024 | overflowed |
| 200.0ms | 352× | body | 2048 | overflowed |
| 74.0ms | 288× | body | 512 | overflowed |
| 48.0ms | 246× | body | 256 | valid |
| 46.0ms | 523× | body | 128 | valid |
| 26.0ms | 301× | body | 128 | overflowed |
| 25.0ms | 148× | body | 256 | overflowed |
| 14.0ms | 11× | body | 4096 | valid |
| 2.0ms | 3× | body | 2048 | invalid |
Compiled 203 to 122 computations (39.9% saved)
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