Time bar (total: 5.5s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 0% | 50% | 50% | 3 |
| 25% | 25% | 50% | 4 |
| 37.5% | 12.5% | 50% | 5 |
| 43.7% | 6.2% | 50% | 6 |
| 46.9% | 3.1% | 50% | 7 |
| 48.4% | 1.6% | 50% | 8 |
| 49.2% | 0.8% | 50% | 9 |
| 49.6% | 0.4% | 50% | 10 |
| 49.8% | 0.2% | 50% | 11 |
| 49.9% | 0.1% | 50% | 12 |
Compiled 10 to 8 computations (20% saved)
| 2.2s | 4125× | body | 1024 | valid |
| 579.0ms | 2128× | body | 512 | valid |
| 286.0ms | 402× | body | 2048 | valid |
| 218.0ms | 1601× | body | 256 | valid |
| 1.0ms | 7× | body | 256 | invalid |
| 2× | egg-herbie |
| 1088× | fma-neg_binary64 |
| 868× | fma-def_binary64 |
| 737× | distribute-rgt-in_binary64 |
| 491× | distribute-lft-in_binary64 |
| 333× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 12 |
| 1 | 18 | 10 |
| 2 | 28 | 10 |
| 3 | 41 | 10 |
| 4 | 71 | 10 |
| 5 | 103 | 10 |
| 6 | 157 | 10 |
| 7 | 290 | 10 |
| 8 | 601 | 10 |
| 9 | 1032 | 10 |
| 10 | 1439 | 10 |
| 11 | 1983 | 10 |
| 12 | 2715 | 10 |
| 13 | 3801 | 10 |
| 14 | 4636 | 10 |
| 15 | 4734 | 10 |
| 16 | 4766 | 10 |
| 17 | 4766 | 10 |
| 18 | 6352 | 10 |
| 19 | 6707 | 10 |
| 20 | 6785 | 10 |
| 21 | 6793 | 10 |
| 22 | 6801 | 10 |
| 23 | 6801 | 10 |
| 24 | 7001 | 10 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| Outputs |
|---|
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
| 1088× | fma-neg_binary64 |
| 868× | fma-def_binary64 |
| 737× | distribute-rgt-in_binary64 |
| 491× | distribute-lft-in_binary64 |
| 333× | sub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 12 |
| 1 | 18 | 10 |
| 2 | 28 | 10 |
| 3 | 41 | 10 |
| 4 | 71 | 10 |
| 5 | 103 | 10 |
| 6 | 157 | 10 |
| 7 | 290 | 10 |
| 8 | 601 | 10 |
| 9 | 1032 | 10 |
| 10 | 1439 | 10 |
| 11 | 1983 | 10 |
| 12 | 2715 | 10 |
| 13 | 3801 | 10 |
| 14 | 4636 | 10 |
| 15 | 4734 | 10 |
| 16 | 4766 | 10 |
| 17 | 4766 | 10 |
| 18 | 6352 | 10 |
| 19 | 6707 | 10 |
| 20 | 6785 | 10 |
| 21 | 6793 | 10 |
| 22 | 6801 | 10 |
| 23 | 6801 | 10 |
| 24 | 7001 | 10 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| Outputs |
|---|
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
Compiled 15 to 11 computations (26.7% saved)
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 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| ▶ | 58.6b | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
Compiled 16 to 12 computations (25% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 6.8b | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) | |
| 0.0b | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) | |
| ✓ | 0.0b | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
| ✓ | 6.8b | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
Compiled 24 to 17 computations (29.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 1.0ms | eps | @ | inf | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 1.0ms | eps | @ | -inf | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 0.0ms | eps | @ | inf | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
| 0.0ms | eps | @ | 0 | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
| 1× | batch-egg-rewrite |
| 884× | pow1_binary64 |
| 826× | log1p-expm1-u_binary64 |
| 826× | expm1-log1p-u_binary64 |
| 825× | add-log-exp_binary64 |
| 810× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 22 |
| 1 | 153 | 20 |
| 2 | 2154 | 20 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
(/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2)) (log.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) (log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (-.f64 1 eps))) (log.f64 (neg.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (+.f64 (*.f64 (log1p.f64 eps) (log1p.f64 eps)) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (*.f64 (log1p.f64 eps) (log1p.f64 eps))) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 eps)) (neg.f64 (/.f64 eps (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 eps) (/.f64 1 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2) (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (*.f64 (cbrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 eps)) (*.f64 (sqrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 eps)) (/.f64 1 (neg.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) 1) (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (/.f64 (-.f64 1 eps) (cbrt.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (/.f64 (sqrt.f64 (-.f64 1 eps)) (cbrt.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 eps))) (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (sqrt.f64 (+.f64 1 eps))) (/.f64 (cbrt.f64 (-.f64 1 eps)) (sqrt.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 eps) (neg.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (+.f64 1 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))))) |
| 1× | egg-herbie |
| 611× | fma-def_binary64 |
| 502× | times-frac_binary64 |
| 462× | fma-neg_binary64 |
| 434× | associate-/l/_binary64 |
| 407× | associate-*l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 309 |
| 1 | 164 | 307 |
| 2 | 410 | 307 |
| 3 | 1135 | 301 |
| 4 | 3292 | 297 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3))))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
1 |
(+.f64 (*.f64 -2 eps) 1) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1)) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 eps)) 1) |
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 eps)) 1) |
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
| Outputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))) |
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))) |
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))) |
(fma.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2) (*.f64 -2/5 (pow.f64 eps 5))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3))))) |
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/3 (pow.f64 eps 3))))) |
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7))))) |
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))))) |
(fma.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7)))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (log.f64 -1) (/.f64 2 eps)) |
(+.f64 (log.f64 -1) (/.f64 -2 eps)) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3)))) |
(-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) |
(+.f64 (log.f64 -1) (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3)))) |
(+.f64 (/.f64 -2 eps) (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
(-.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))) |
(-.f64 (-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5))) |
(+.f64 (log.f64 -1) (+.f64 (/.f64 -2 eps) (+.f64 (/.f64 -2/3 (pow.f64 eps 3)) (/.f64 -2/5 (pow.f64 eps 5))))) |
(-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5)))) |
(+.f64 (log.f64 -1) (-.f64 (/.f64 -2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5))))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (log.f64 -1) (/.f64 2 eps)) |
(+.f64 (log.f64 -1) (/.f64 -2 eps)) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3)))) |
(-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) |
(+.f64 (log.f64 -1) (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3)))) |
(+.f64 (/.f64 -2 eps) (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
(-.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))) |
(-.f64 (-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5))) |
(+.f64 (log.f64 -1) (+.f64 (/.f64 -2 eps) (+.f64 (/.f64 -2/3 (pow.f64 eps 3)) (/.f64 -2/5 (pow.f64 eps 5))))) |
(-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5)))) |
(+.f64 (log.f64 -1) (-.f64 (/.f64 -2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5))))) |
1 |
(+.f64 (*.f64 -2 eps) 1) |
(fma.f64 -2 eps 1) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1)) |
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) 1)) |
(fma.f64 2 (*.f64 eps eps) (fma.f64 -2 eps 1)) |
(fma.f64 eps (fma.f64 eps 2 -2) 1) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3))))) |
(fma.f64 -2 eps (+.f64 (fma.f64 2 (*.f64 eps eps) 1) (*.f64 -2 (pow.f64 eps 3)))) |
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) (fma.f64 -2 (pow.f64 eps 3) 1))) |
(fma.f64 -2 eps (fma.f64 -2 (pow.f64 eps 3) (fma.f64 2 (*.f64 eps eps) 1))) |
(fma.f64 -2 eps (fma.f64 eps (*.f64 eps (fma.f64 -2 eps 2)) 1)) |
(fma.f64 (*.f64 eps eps) (fma.f64 -2 eps 2) (fma.f64 -2 eps 1)) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 eps)) 1) |
(+.f64 (/.f64 2 eps) -1) |
(+.f64 -1 (/.f64 2 eps)) |
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps)))) |
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps)))) |
(+.f64 (/.f64 2 eps) (+.f64 -1 (/.f64 -2 (*.f64 eps eps)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
(+.f64 (/.f64 2 (pow.f64 eps 3)) (-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps))))) |
(+.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps))))) |
(+.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (+.f64 -1 (/.f64 -2 (*.f64 eps eps))))) |
(+.f64 -1 (-.f64 (/.f64 2 eps) (-.f64 (/.f64 2 (*.f64 eps eps)) (/.f64 2 (pow.f64 eps 3))))) |
(+.f64 (/.f64 2 eps) (fma.f64 (/.f64 1 (*.f64 eps eps)) (+.f64 -2 (/.f64 2 eps)) -1)) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 eps)) 1) |
(+.f64 (/.f64 2 eps) -1) |
(+.f64 -1 (/.f64 2 eps)) |
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps)))) |
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps)))) |
(+.f64 (/.f64 2 eps) (+.f64 -1 (/.f64 -2 (*.f64 eps eps)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
(+.f64 (/.f64 2 (pow.f64 eps 3)) (-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps))))) |
(+.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps))))) |
(+.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (+.f64 -1 (/.f64 -2 (*.f64 eps eps))))) |
(+.f64 -1 (-.f64 (/.f64 2 eps) (-.f64 (/.f64 2 (*.f64 eps eps)) (/.f64 2 (pow.f64 eps 3))))) |
(+.f64 (/.f64 2 eps) (fma.f64 (/.f64 1 (*.f64 eps eps)) (+.f64 -2 (/.f64 2 eps)) -1)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) | |
| ✓ | 0.0b | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
Compiled 15 to 5 computations (66.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| 1.0ms | eps | @ | inf | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| 0.0ms | eps | @ | -inf | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| 1× | batch-egg-rewrite |
| 519× | pow1_binary64 |
| 484× | add-log-exp_binary64 |
| 484× | expm1-log1p-u_binary64 |
| 482× | log1p-expm1-u_binary64 |
| 475× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 130 | 8 |
| 2 | 1862 | 8 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))) (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps)) (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))) (neg.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (neg.f64 (log1p.f64 eps)) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (*.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))) (-.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))))))) |
| 1× | egg-herbie |
| 699× | fma-def_binary64 |
| 522× | associate-/l*_binary64 |
| 425× | distribute-neg-frac_binary64 |
| 399× | fma-neg_binary64 |
| 366× | div-sub_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 180 |
| 1 | 122 | 177 |
| 2 | 298 | 174 |
| 3 | 806 | 174 |
| 4 | 2151 | 174 |
| 5 | 5317 | 174 |
| 6 | 7858 | 174 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3))))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
(*.f64 -1 (log.f64 -1)) |
(-.f64 (*.f64 -1 (log.f64 -1)) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
| Outputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))) |
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))) |
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))) |
(fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2 eps))) |
(fma.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2) (*.f64 -2/5 (pow.f64 eps 5))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3))))) |
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/3 (pow.f64 eps 3))))) |
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7))))) |
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))))) |
(fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2 eps)))) |
(fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/7 (pow.f64 eps 7) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2 eps)))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (log.f64 -1) (/.f64 2 eps)) |
(+.f64 (log.f64 -1) (/.f64 -2 eps)) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2 eps)) |
(-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) |
(+.f64 (/.f64 -2/3 (pow.f64 eps 3)) (+.f64 (log.f64 -1) (/.f64 -2 eps))) |
(-.f64 (/.f64 -2 eps) (-.f64 (/.f64 2/3 (pow.f64 eps 3)) (log.f64 -1))) |
(+.f64 (log.f64 -1) (-.f64 (/.f64 -2 eps) (/.f64 2/3 (pow.f64 eps 3)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
(-.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5))))) |
(-.f64 (-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5))) |
(+.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))) (-.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 eps 5)))) |
(+.f64 (-.f64 (/.f64 -2 eps) (/.f64 2/3 (pow.f64 eps 3))) (-.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 eps 5)))) |
(+.f64 (+.f64 (log.f64 -1) (/.f64 -2/3 (pow.f64 eps 3))) (-.f64 (/.f64 -2 eps) (/.f64 2/5 (pow.f64 eps 5)))) |
(*.f64 -1 (log.f64 -1)) |
(neg.f64 (log.f64 -1)) |
(-.f64 (*.f64 -1 (log.f64 -1)) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (neg.f64 (log.f64 -1)) (/.f64 2 eps)) |
(fma.f64 -1 (log.f64 -1) (/.f64 -2 eps)) |
(-.f64 (/.f64 -2 eps) (log.f64 -1)) |
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (neg.f64 (log.f64 -1)) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3)))) |
(-.f64 (fma.f64 -1 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) |
(+.f64 (/.f64 -2/3 (pow.f64 eps 3)) (-.f64 (/.f64 -2 eps) (log.f64 -1))) |
(-.f64 (-.f64 (/.f64 -2 eps) (/.f64 2/3 (pow.f64 eps 3))) (log.f64 -1)) |
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
(-.f64 (neg.f64 (log.f64 -1)) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5))))) |
(-.f64 (-.f64 (fma.f64 -1 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5))) |
(+.f64 (+.f64 (/.f64 -2/3 (pow.f64 eps 3)) (-.f64 (/.f64 -2 eps) (log.f64 -1))) (/.f64 -2/5 (pow.f64 eps 5))) |
(+.f64 (-.f64 (/.f64 -2 eps) (/.f64 2/3 (pow.f64 eps 3))) (-.f64 (/.f64 -2/5 (pow.f64 eps 5)) (log.f64 -1))) |
(+.f64 (-.f64 (/.f64 -2/3 (pow.f64 eps 3)) (log.f64 -1)) (-.f64 (/.f64 -2 eps) (/.f64 2/5 (pow.f64 eps 5)))) |
Compiled 1882 to 1147 computations (39.1% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 144 | 5 | 149 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 144 | 7 | 151 |
| Status | Error | Program |
|---|---|---|
| ▶ | 58.6b | (log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))) |
| ▶ | 0.3b | (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) |
| ✓ | 0.0b | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| ▶ | 0.1b | (+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))) |
| ▶ | 0.6b | (*.f64 -2 eps) |
| ✓ | 58.6b | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| ▶ | 0.3b | (+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
Compiled 116 to 90 computations (22.4% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 -2/3 (pow.f64 eps 3)) | |
| 0.1b | (*.f64 -2/5 (pow.f64 eps 5)) | |
| 0.0b | (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))) | |
| ✓ | 0.0b | (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))) |
| ✓ | 0.1b | (*.f64 -2/5 (pow.f64 eps 5)) |
| ✓ | 0.1b | (*.f64 -2/3 (pow.f64 eps 3)) |
Compiled 52 to 41 computations (21.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | -inf | (*.f64 -2/3 (pow.f64 eps 3)) |
| 1.0ms | eps | @ | 0 | (*.f64 -2/3 (pow.f64 eps 3)) |
| 1.0ms | eps | @ | 0 | (*.f64 -2/5 (pow.f64 eps 5)) |
| 1.0ms | eps | @ | inf | (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))) |
| 1.0ms | eps | @ | inf | (*.f64 -2/3 (pow.f64 eps 3)) |
| 1× | batch-egg-rewrite |
| 476× | log-prod_binary64 |
| 363× | exp-prod_binary64 |
| 316× | prod-exp_binary64 |
| 299× | fma-def_binary64 |
| 283× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 28 |
| 1 | 247 | 28 |
| 2 | 2869 | 28 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2/3 (pow.f64 eps 3)) |
(*.f64 -2/5 (pow.f64 eps 5)) |
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 eps 6) 4/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -2/3) (pow.f64 eps 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 eps 9) -8/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 3 (log.f64 eps) (log.f64 -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)))) (sqrt.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 eps 9) -8/27))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 eps (cbrt.f64 -2/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 -2/3) (pow.f64 eps 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 9) -8/27)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/5) (pow.f64 eps 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/5) (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/5) (pow.f64 eps 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/5) (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2/5 (pow.f64 eps 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/5 (pow.f64 eps 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 eps 10) 4/25) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2/5 (pow.f64 eps 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -2/5) (pow.f64 eps 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 eps 15) -8/125) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 5 (log.f64 eps) (log1p.f64 -7/5)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 5 (log.f64 eps) (log1p.f64 -7/5))) 2)) (cbrt.f64 (fma.f64 5 (log.f64 eps) (log1p.f64 -7/5))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 5 (log.f64 eps) (log1p.f64 -7/5)))) (sqrt.f64 (fma.f64 5 (log.f64 eps) (log1p.f64 -7/5))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 eps 10) 4/25))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2/5) (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2/5 (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 eps 15) -8/125))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2/5 (pow.f64 eps 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 5 (log.f64 eps) (log1p.f64 -7/5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 5 (log.f64 eps) (log1p.f64 -7/5)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -2/5 (pow.f64 eps 5)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 -2/5) (pow.f64 eps 5/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 15) -8/125)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 5 (log.f64 eps) (log1p.f64 -7/5)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 5 (log.f64 eps) (log1p.f64 -7/5)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2/5 (pow.f64 eps 5)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 eps 10) 4/25) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 2/3 (pow.f64 eps 3)))) (/.f64 (*.f64 (pow.f64 eps 6) 4/9) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 2/3 (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))) (pow.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))) 2) (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))) (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 eps 9) -8/27 (*.f64 (pow.f64 eps 15) -8/125)) (/.f64 1 (fma.f64 (*.f64 -2/3 (pow.f64 eps 3)) (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5))) (*.f64 (pow.f64 eps 10) 4/25))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 eps 10) 4/25 (neg.f64 (*.f64 (pow.f64 eps 6) 4/9))) (/.f64 1 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 2/3 (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 -2/3 (pow.f64 eps 3)) (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5))) (*.f64 (pow.f64 eps 10) 4/25)) (fma.f64 (pow.f64 eps 9) -8/27 (*.f64 (pow.f64 eps 15) -8/125))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 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5))) (*.f64 (pow.f64 eps 10) 4/25))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 eps 10) 4/25 (neg.f64 (*.f64 (pow.f64 eps 6) 4/9)))) (neg.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 2/3 (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 eps 6) 4/9) (*.f64 (pow.f64 eps 10) 4/25)) (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 -2/3 (pow.f64 eps 3)) (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5))) (*.f64 (pow.f64 eps 10) 4/25)) (fma.f64 (pow.f64 eps 9) -8/27 (*.f64 (pow.f64 eps 15) -8/125))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 2/3 (pow.f64 eps 3))) (fma.f64 (pow.f64 eps 10) 4/25 (neg.f64 (*.f64 (pow.f64 eps 6) 4/9)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))) 2)) (cbrt.f64 (log.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))))) (sqrt.f64 (log.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3)))) (pow.f64 (exp.f64 -2/5) (pow.f64 eps 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)) (+.f64 1 (expm1.f64 (*.f64 -2/5 (pow.f64 eps 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3)))) (+.f64 1 (expm1.f64 (*.f64 -2/5 (pow.f64 eps 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2/5 (pow.f64 eps 5)))) (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -2/5) (pow.f64 eps 5)) (+.f64 1 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2/5 (pow.f64 eps 5)))) (+.f64 1 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (*.f64 (*.f64 eps eps) -2/3) (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1 (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 5) -2/5 (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/5 (pow.f64 eps 5)) 1 (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps eps) (*.f64 eps -2/3) (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 eps 10)) (*.f64 (pow.f64 (cbrt.f64 eps) 5) -2/5) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (cbrt.f64 -2/3)) (cbrt.f64 (*.f64 (pow.f64 eps 6) 4/9)) (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 eps 6) 4/9)) (*.f64 eps (cbrt.f64 -2/3)) (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -2/5 (pow.f64 eps 5))) (cbrt.f64 (*.f64 (pow.f64 eps 10) 4/25)) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 eps 10) 4/25)) (cbrt.f64 (*.f64 -2/5 (pow.f64 eps 5))) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -2/3) (pow.f64 eps 3/2)) (*.f64 (sqrt.f64 -2/3) (pow.f64 eps 3/2)) (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -2/5) (pow.f64 eps 5/2)) (*.f64 (sqrt.f64 -2/5) (pow.f64 eps 5/2)) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 3/2) (*.f64 (pow.f64 eps 3/2) -2/3) (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 5/2) (*.f64 (pow.f64 eps 5/2) -2/5) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/3 eps) (*.f64 eps eps) (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/3 (*.f64 eps eps)) eps (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/3 (pow.f64 eps 3/2)) (pow.f64 eps 3/2) (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/5 (cbrt.f64 (pow.f64 eps 10))) (pow.f64 (cbrt.f64 eps) 5) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/5 (pow.f64 eps 5/2)) (pow.f64 eps 5/2) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))))))) |
| 1× | egg-herbie |
| 1252× | sqr-pow_binary64 |
| 710× | cube-prod_binary64 |
| 698× | pow-sqr_binary64 |
| 675× | fabs-mul_binary64 |
| 416× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 24 | 21 |
| 2 | 50 | 21 |
| 3 | 99 | 21 |
| 4 | 214 | 21 |
| 5 | 622 | 21 |
| 6 | 912 | 21 |
| 7 | 1548 | 21 |
| 8 | 1656 | 21 |
| 9 | 1818 | 21 |
| 10 | 2035 | 21 |
| 11 | 2365 | 21 |
| 12 | 2821 | 21 |
| 13 | 3418 | 21 |
| 14 | 4169 | 21 |
| 15 | 5097 | 21 |
| 16 | 5601 | 21 |
| 17 | 6087 | 21 |
| 18 | 6485 | 21 |
| 19 | 6809 | 21 |
| 20 | 6967 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2/3 (pow.f64 eps 3)) |
(*.f64 -2/5 (pow.f64 eps 5)) |
(*.f64 -2/5 (pow.f64 eps 5)) |
| Outputs |
|---|
(*.f64 -2/3 (pow.f64 eps 3)) |
(*.f64 -2/5 (pow.f64 eps 5)) |
(*.f64 -2/5 (pow.f64 eps 5)) |
Compiled 6 to 4 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) | |
| ✓ | 0.0b | (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) |
Compiled 21 to 11 computations (47.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) |
| 1.0ms | eps | @ | inf | (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) |
| 0.0ms | eps | @ | -inf | (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) |
| 1× | batch-egg-rewrite |
| 612× | pow1_binary64 |
| 570× | add-log-exp_binary64 |
| 570× | log1p-expm1-u_binary64 |
| 570× | expm1-log1p-u_binary64 |
| 559× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 142 | 11 |
| 2 | 1569 | 11 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -2/3 (*.f64 eps eps)) eps) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (*.f64 -2/3 (*.f64 eps eps))) (*.f64 eps -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 -2/3 (*.f64 eps eps) -2)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)))))))) |
| 1× | egg-herbie |
| 1332× | sqr-pow_binary64 |
| 715× | pow-sqr_binary64 |
| 530× | cube-prod_binary64 |
| 471× | fabs-mul_binary64 |
| 441× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 117 |
| 1 | 21 | 117 |
| 2 | 41 | 117 |
| 3 | 85 | 117 |
| 4 | 152 | 117 |
| 5 | 377 | 117 |
| 6 | 1219 | 117 |
| 7 | 1922 | 117 |
| 8 | 2009 | 117 |
| 9 | 2142 | 117 |
| 10 | 2300 | 117 |
| 11 | 2532 | 117 |
| 12 | 2854 | 117 |
| 13 | 3275 | 117 |
| 14 | 3775 | 117 |
| 15 | 4370 | 117 |
| 16 | 5090 | 117 |
| 17 | 5411 | 117 |
| 18 | 5697 | 117 |
| 19 | 5921 | 117 |
| 20 | 6099 | 117 |
| 21 | 6179 | 117 |
| 22 | 7119 | 117 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
| Outputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2)) |
(*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2)) |
(*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2)) |
(*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2)) |
(*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2)) |
(*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2)) |
(*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2)) |
(*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2)) |
(*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2)) |
(*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 -2/3 (pow.f64 eps 3)) | |
| 0.1b | (*.f64 -2/3 (pow.f64 eps 3)) |
Compiled 25 to 19 computations (24% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 6.8b | (log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))) | |
| 0.0b | (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)) | |
| 0.0b | (/.f64 1 (+.f64 1 eps)) | |
| ✓ | 0.0b | (/.f64 1 (+.f64 1 eps)) |
| ✓ | 0.0b | (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)) |
| ✓ | 6.8b | (log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))) |
Compiled 33 to 25 computations (24.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | eps | @ | inf | (/.f64 1 (+.f64 1 eps)) |
| 0.0ms | eps | @ | 0 | (log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))) |
| 0.0ms | eps | @ | -inf | (/.f64 1 (+.f64 1 eps)) |
| 0.0ms | eps | @ | 0 | (/.f64 1 (+.f64 1 eps)) |
| 0.0ms | eps | @ | inf | (log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))) |
| 1× | batch-egg-rewrite |
| 906× | pow1_binary64 |
| 844× | log1p-expm1-u_binary64 |
| 844× | expm1-log1p-u_binary64 |
| 843× | add-log-exp_binary64 |
| 828× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 29 |
| 1 | 172 | 27 |
| 2 | 2301 | 27 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))) |
(*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)) |
(/.f64 1 (+.f64 1 eps)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2)) (log.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) (log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (neg.f64 (log1p.f64 eps)) 3) (pow.f64 (log1p.f64 (neg.f64 eps)) 3)) (+.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (-.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (*.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps)))) (-.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 eps)) (*.f64 (neg.f64 eps) (/.f64 1 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 eps)) (*.f64 (/.f64 1 (+.f64 1 eps)) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 eps) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (/.f64 (+.f64 1 eps) (cbrt.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 eps)) (/.f64 (+.f64 1 eps) (sqrt.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 eps 3)) (*.f64 (+.f64 1 eps) (+.f64 1 (fma.f64 eps eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 eps eps)) (pow.f64 (+.f64 1 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 eps)) (+.f64 -1 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 1 (pow.f64 eps 3))) (*.f64 (+.f64 -1 (neg.f64 eps)) (+.f64 1 (fma.f64 eps eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 1 (*.f64 eps eps))) (*.f64 (+.f64 -1 (neg.f64 eps)) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) 1) (*.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) 1) (pow.f64 (+.f64 1 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) -1) (*.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 -1 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) -1) (*.f64 (+.f64 1 eps) (+.f64 -1 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 eps) 1) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 eps) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 1 eps)) (+.f64 -1 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) (/.f64 1 (+.f64 1 eps))) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 (*.f64 eps eps))) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 eps) -1) (+.f64 -1 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (+.f64 1 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 eps)) 3) (pow.f64 (-.f64 1 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (/.f64 1 (+.f64 1 eps)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 1 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 eps))) (cbrt.f64 (pow.f64 (+.f64 1 eps) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 eps) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 eps) -1/2) (pow.f64 (+.f64 1 eps) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 eps)) -1) (pow.f64 (sqrt.f64 (+.f64 1 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 eps) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 eps) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 eps)))))))) |
| 1× | egg-herbie |
| 844× | fma-def_binary64 |
| 720× | times-frac_binary64 |
| 402× | sub-neg_binary64 |
| 265× | distribute-neg-frac_binary64 |
| 240× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 487 |
| 1 | 210 | 474 |
| 2 | 551 | 474 |
| 3 | 1583 | 468 |
| 4 | 4890 | 465 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3))))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
1 |
(+.f64 (*.f64 -2 eps) 1) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1)) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 eps)) 1) |
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 eps)) 1) |
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
1 |
(+.f64 1 (*.f64 -1 eps)) |
(+.f64 (pow.f64 eps 2) (+.f64 1 (*.f64 -1 eps))) |
(+.f64 (pow.f64 eps 2) (+.f64 1 (+.f64 (*.f64 -1 eps) (*.f64 -1 (pow.f64 eps 3))))) |
(/.f64 1 eps) |
(-.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 2))) |
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (pow.f64 eps 2))) |
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2)))) |
(/.f64 1 eps) |
(-.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 2))) |
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (pow.f64 eps 2))) |
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2)))) |
| Outputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2)) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))) |
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))) |
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))) |
(fma.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2) (*.f64 -2/5 (pow.f64 eps 5))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3))))) |
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/3 (pow.f64 eps 3))))) |
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7))))) |
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (log.f64 -1) (/.f64 2 eps)) |
(+.f64 (log.f64 -1) (/.f64 -2 eps)) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3)))) |
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps)) |
(+.f64 (log.f64 -1) (-.f64 (/.f64 -2 eps) (/.f64 2/3 (pow.f64 eps 3)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
(-.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5))))) |
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5))))) |
(+.f64 (log.f64 -1) (+.f64 (-.f64 (/.f64 -2 eps) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2/5 (pow.f64 eps 5)))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (log.f64 -1) (/.f64 2 eps)) |
(+.f64 (log.f64 -1) (/.f64 -2 eps)) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3)))) |
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps)) |
(+.f64 (log.f64 -1) (-.f64 (/.f64 -2 eps) (/.f64 2/3 (pow.f64 eps 3)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
(-.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5))))) |
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5))))) |
(+.f64 (log.f64 -1) (+.f64 (-.f64 (/.f64 -2 eps) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2/5 (pow.f64 eps 5)))) |
1 |
(+.f64 (*.f64 -2 eps) 1) |
(fma.f64 -2 eps 1) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1)) |
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) 1)) |
(fma.f64 -2 eps (fma.f64 eps (*.f64 eps 2) 1)) |
(fma.f64 eps (fma.f64 eps 2 -2) 1) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3))))) |
(fma.f64 -2 eps (+.f64 (fma.f64 2 (*.f64 eps eps) 1) (*.f64 -2 (pow.f64 eps 3)))) |
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) (fma.f64 -2 (pow.f64 eps 3) 1))) |
(fma.f64 -2 eps (fma.f64 -2 (pow.f64 eps 3) (fma.f64 eps (*.f64 eps 2) 1))) |
(fma.f64 (*.f64 eps eps) (fma.f64 -2 eps 2) (fma.f64 -2 eps 1)) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 eps)) 1) |
(+.f64 (/.f64 2 eps) -1) |
(+.f64 -1 (/.f64 2 eps)) |
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps)))) |
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps)))) |
(+.f64 (/.f64 2 eps) (+.f64 -1 (/.f64 -2 (*.f64 eps eps)))) |
(+.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 -2 (*.f64 eps eps)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
(+.f64 (/.f64 2 (pow.f64 eps 3)) (-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps))))) |
(+.f64 (/.f64 2 eps) (-.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 1 (/.f64 2 (*.f64 eps eps))))) |
(+.f64 (/.f64 2 eps) (+.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 -1 (/.f64 -2 (*.f64 eps eps))))) |
(+.f64 (+.f64 (/.f64 2 eps) (/.f64 2 (pow.f64 eps 3))) (+.f64 -1 (/.f64 -2 (*.f64 eps eps)))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 eps)) 1) |
(+.f64 (/.f64 2 eps) -1) |
(+.f64 -1 (/.f64 2 eps)) |
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps)))) |
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps)))) |
(+.f64 (/.f64 2 eps) (+.f64 -1 (/.f64 -2 (*.f64 eps eps)))) |
(+.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 -2 (*.f64 eps eps)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
(+.f64 (/.f64 2 (pow.f64 eps 3)) (-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps))))) |
(+.f64 (/.f64 2 eps) (-.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 1 (/.f64 2 (*.f64 eps eps))))) |
(+.f64 (/.f64 2 eps) (+.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 -1 (/.f64 -2 (*.f64 eps eps))))) |
(+.f64 (+.f64 (/.f64 2 eps) (/.f64 2 (pow.f64 eps 3))) (+.f64 -1 (/.f64 -2 (*.f64 eps eps)))) |
1 |
(+.f64 1 (*.f64 -1 eps)) |
(+.f64 1 (neg.f64 eps)) |
(-.f64 1 eps) |
(+.f64 (pow.f64 eps 2) (+.f64 1 (*.f64 -1 eps))) |
(+.f64 (*.f64 eps eps) (+.f64 1 (neg.f64 eps))) |
(-.f64 (fma.f64 eps eps 1) eps) |
(+.f64 (pow.f64 eps 2) (+.f64 1 (+.f64 (*.f64 -1 eps) (*.f64 -1 (pow.f64 eps 3))))) |
(+.f64 (*.f64 eps eps) (+.f64 1 (*.f64 -1 (+.f64 eps (pow.f64 eps 3))))) |
(fma.f64 eps eps (-.f64 (-.f64 1 eps) (pow.f64 eps 3))) |
(-.f64 (fma.f64 eps eps (-.f64 1 (pow.f64 eps 3))) eps) |
(*.f64 (-.f64 1 eps) (fma.f64 eps eps 1)) |
(/.f64 1 eps) |
(-.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 2))) |
(-.f64 (/.f64 1 eps) (/.f64 1 (*.f64 eps eps))) |
(+.f64 (/.f64 1 eps) (/.f64 -1 (*.f64 eps eps))) |
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (pow.f64 eps 2))) |
(+.f64 (/.f64 1 eps) (-.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 1 (*.f64 eps eps)))) |
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 -1 (*.f64 eps eps)))) |
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2)))) |
(+.f64 (/.f64 1 eps) (-.f64 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 4))))) |
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 -1 (*.f64 eps eps)) (/.f64 -1 (pow.f64 eps 4))))) |
(/.f64 1 eps) |
(-.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 2))) |
(-.f64 (/.f64 1 eps) (/.f64 1 (*.f64 eps eps))) |
(+.f64 (/.f64 1 eps) (/.f64 -1 (*.f64 eps eps))) |
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (pow.f64 eps 2))) |
(+.f64 (/.f64 1 eps) (-.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 1 (*.f64 eps eps)))) |
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 -1 (*.f64 eps eps)))) |
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2)))) |
(+.f64 (/.f64 1 eps) (-.f64 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 4))))) |
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 -1 (*.f64 eps eps)) (/.f64 -1 (pow.f64 eps 4))))) |
Compiled 4671 to 3555 computations (23.9% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 289 | 2 | 291 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 5 | 6 |
| Total | 290 | 8 | 298 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| ▶ | 58.6b | (log.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) (-.f64 1 eps))) |
| ✓ | 58.6b | (log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))) |
| ✓ | 0.3b | (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) |
| ✓ | 0.1b | (+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))) |
| ✓ | 0.6b | (*.f64 -2 eps) |
| ✓ | 58.6b | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| ▶ | 0.3b | (+.f64 (*.f64 (*.f64 -2/3 (*.f64 eps eps)) eps) (*.f64 -2 eps)) |
Compiled 85 to 64 computations (24.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 -2/3 (*.f64 eps eps)) | |
| 0.1b | (*.f64 (*.f64 -2/3 (*.f64 eps eps)) eps) | |
| ✓ | 0.1b | (*.f64 (*.f64 -2/3 (*.f64 eps eps)) eps) |
| ✓ | 0.2b | (*.f64 -2/3 (*.f64 eps eps)) |
Compiled 33 to 17 computations (48.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | (*.f64 -2/3 (*.f64 eps eps)) |
| 0.0ms | eps | @ | 0 | (*.f64 -2/3 (*.f64 eps eps)) |
| 0.0ms | eps | @ | -inf | (*.f64 -2/3 (*.f64 eps eps)) |
| 0.0ms | eps | @ | -inf | (*.f64 (*.f64 -2/3 (*.f64 eps eps)) eps) |
| 0.0ms | eps | @ | 0 | (*.f64 (*.f64 -2/3 (*.f64 eps eps)) eps) |
| 1× | batch-egg-rewrite |
| 534× | pow1_binary64 |
| 517× | add-sqr-sqrt_binary64 |
| 495× | add-log-exp_binary64 |
| 495× | log1p-expm1-u_binary64 |
| 495× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 1 | 123 | 14 |
| 2 | 1419 | 14 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2/3 (*.f64 eps eps)) |
(*.f64 (*.f64 -2/3 (*.f64 eps eps)) eps) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2/3 (*.f64 eps eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/3 (*.f64 eps eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2/3 (*.f64 eps eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2/3 (*.f64 eps eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (sqrt.f64 -2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4/9 (pow.f64 eps 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2/3) (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2/3 (*.f64 eps eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2/3 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2/3 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2/3 (*.f64 eps eps)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 -2/3) eps) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2/3 (pow.f64 eps 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4/9 (pow.f64 (*.f64 eps eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3)))))))) |
| 1× | egg-herbie |
| 1272× | sqr-pow_binary64 |
| 566× | pow-sqr_binary64 |
| 563× | cube-prod_binary64 |
| 536× | unswap-sqr_binary64 |
| 535× | fabs-mul_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 168 |
| 1 | 23 | 168 |
| 2 | 48 | 168 |
| 3 | 105 | 168 |
| 4 | 274 | 168 |
| 5 | 1141 | 168 |
| 6 | 2295 | 168 |
| 7 | 2461 | 168 |
| 8 | 2711 | 168 |
| 9 | 2998 | 168 |
| 10 | 3377 | 168 |
| 11 | 3871 | 168 |
| 12 | 4476 | 168 |
| 13 | 5182 | 168 |
| 14 | 5653 | 168 |
| 15 | 5976 | 168 |
| 16 | 6248 | 168 |
| 17 | 6418 | 168 |
| 18 | 6508 | 168 |
| 19 | 7185 | 168 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2/3 (pow.f64 eps 2)) |
(*.f64 -2/3 (pow.f64 eps 2)) |
(*.f64 -2/3 (pow.f64 eps 2)) |
(*.f64 -2/3 (pow.f64 eps 2)) |
(*.f64 -2/3 (pow.f64 eps 2)) |
(*.f64 -2/3 (pow.f64 eps 2)) |
(*.f64 -2/3 (pow.f64 eps 2)) |
(*.f64 -2/3 (pow.f64 eps 2)) |
(*.f64 -2/3 (pow.f64 eps 2)) |
(*.f64 -2/3 (pow.f64 eps 2)) |
(*.f64 -2/3 (pow.f64 eps 2)) |
(*.f64 -2/3 (pow.f64 eps 2)) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(*.f64 -2/3 (pow.f64 eps 3)) |
| Outputs |
|---|
(*.f64 -2/3 (pow.f64 eps 2)) |
(*.f64 -2/3 (*.f64 eps eps)) |
(*.f64 -2/3 (pow.f64 eps 2)) |
(*.f64 -2/3 (*.f64 eps eps)) |
(*.f64 -2/3 (pow.f64 eps 2)) |
(*.f64 -2/3 (*.f64 eps eps)) |
(*.f64 -2/3 (pow.f64 eps 2)) |
(*.f64 -2/3 (*.f64 eps eps)) |
(*.f64 -2/3 (pow.f64 eps 2)) |
(*.f64 -2/3 (*.f64 eps eps)) |
(*.f64 -2/3 (pow.f64 eps 2)) |
(*.f64 -2/3 (*.f64 eps eps)) |
(*.f64 -2/3 (pow.f64 eps 2)) |
(*.f64 -2/3 (*.f64 eps eps)) |
(*.f64 -2/3 (pow.f64 eps 2)) |
(*.f64 -2/3 (*.f64 eps eps)) |
(*.f64 -2/3 (pow.f64 eps 2)) |
(*.f64 -2/3 (*.f64 eps eps)) |
(*.f64 -2/3 (pow.f64 eps 2)) |
(*.f64 -2/3 (*.f64 eps eps)) |
(*.f64 -2/3 (pow.f64 eps 2)) |
(*.f64 -2/3 (*.f64 eps eps)) |
(*.f64 -2/3 (pow.f64 eps 2)) |
(*.f64 -2/3 (*.f64 eps eps)) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(*.f64 -2/3 (pow.f64 eps 3)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 6.8b | (log.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) (-.f64 1 eps))) | |
| 0.0b | (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) (-.f64 1 eps)) | |
| 0.0b | (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) | |
| 0.0b | (/.f64 1 (-.f64 1 (*.f64 eps eps))) | |
| ✓ | 0.0b | (/.f64 1 (-.f64 1 (*.f64 eps eps))) |
| ✓ | 0.0b | (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) |
| ✓ | 0.0b | (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) (-.f64 1 eps)) |
| ✓ | 6.8b | (log.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) (-.f64 1 eps))) |
Compiled 63 to 39 computations (38.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (log.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) (-.f64 1 eps))) |
| 1.0ms | eps | @ | inf | (log.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) (-.f64 1 eps))) |
| 1.0ms | eps | @ | inf | (/.f64 1 (-.f64 1 (*.f64 eps eps))) |
| 0.0ms | eps | @ | -inf | (log.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) (-.f64 1 eps))) |
| 0.0ms | eps | @ | 0 | (/.f64 1 (-.f64 1 (*.f64 eps eps))) |
| 1× | batch-egg-rewrite |
| 522× | log-prod_binary64 |
| 374× | pow-prod-down_binary64 |
| 342× | prod-diff_binary64 |
| 270× | pow2_binary64 |
| 266× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 63 |
| 1 | 219 | 39 |
| 2 | 2968 | 37 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) (-.f64 1 eps))) |
(*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) (-.f64 1 eps)) |
(*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) |
(/.f64 1 (-.f64 1 (*.f64 eps eps))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 1 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 1 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 eps eps)))) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 eps eps)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 eps eps)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (*.f64 eps eps)) -1/2) (pow.f64 (-.f64 1 (*.f64 eps eps)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 eps eps))) -2) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 eps 6))) (+.f64 1 (fma.f64 eps eps (pow.f64 eps 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 eps 4))) (fma.f64 eps eps 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 eps eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 eps eps)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 eps eps)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 eps eps)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 eps eps)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (*.f64 eps eps))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 eps eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (*.f64 eps eps))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 eps eps)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (-.f64 1 (*.f64 eps eps)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (*.f64 eps eps)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (*.f64 eps eps)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (*.f64 eps (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 eps (neg.f64 eps))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 eps (neg.f64 eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))))))))) |
| 1× | egg-herbie |
| 610× | sub-neg_binary64 |
| 426× | associate-*l*_binary64 |
| 386× | distribute-neg-frac_binary64 |
| 341× | fma-def_binary64 |
| 318× | associate-*r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 703 |
| 1 | 264 | 672 |
| 2 | 724 | 672 |
| 3 | 2151 | 672 |
| 4 | 6183 | 672 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3))))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
1 |
(+.f64 (*.f64 -2 eps) 1) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1)) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 eps)) 1) |
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 eps)) 1) |
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
1 |
(+.f64 1 (*.f64 -1 eps)) |
(+.f64 (pow.f64 eps 2) (+.f64 1 (*.f64 -1 eps))) |
(+.f64 (pow.f64 eps 2) (+.f64 1 (+.f64 (*.f64 -1 eps) (*.f64 -1 (pow.f64 eps 3))))) |
(/.f64 1 eps) |
(-.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 2))) |
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (pow.f64 eps 2))) |
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2)))) |
(/.f64 1 eps) |
(-.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 2))) |
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (pow.f64 eps 2))) |
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2)))) |
1 |
(+.f64 (pow.f64 eps 2) 1) |
(+.f64 (pow.f64 eps 2) (+.f64 1 (pow.f64 eps 4))) |
(+.f64 (pow.f64 eps 2) (+.f64 1 (+.f64 (pow.f64 eps 4) (pow.f64 eps 6)))) |
(/.f64 -1 (pow.f64 eps 2)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (pow.f64 eps 6)) (/.f64 1 (pow.f64 eps 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (pow.f64 eps 6)) (+.f64 (/.f64 1 (pow.f64 eps 8)) (/.f64 1 (pow.f64 eps 2)))))) |
(/.f64 -1 (pow.f64 eps 2)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (pow.f64 eps 6)) (/.f64 1 (pow.f64 eps 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (pow.f64 eps 6)) (+.f64 (/.f64 1 (pow.f64 eps 8)) (/.f64 1 (pow.f64 eps 2)))))) |
| Outputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))) |
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))) |
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))) |
(fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2 eps))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3))))) |
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/3 (pow.f64 eps 3))))) |
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7))))) |
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (log.f64 -1) (/.f64 2 eps)) |
(+.f64 (log.f64 -1) (/.f64 -2 eps)) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2 eps)) |
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps)) |
(+.f64 (/.f64 -2 eps) (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
(-.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))) |
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5))))) |
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (-.f64 (/.f64 -2 eps) (/.f64 2/5 (pow.f64 eps 5)))) |
(+.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))) (-.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 eps 5)))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (log.f64 -1) (/.f64 2 eps)) |
(+.f64 (log.f64 -1) (/.f64 -2 eps)) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2 eps)) |
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps)) |
(+.f64 (/.f64 -2 eps) (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
(-.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))) |
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5))))) |
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (-.f64 (/.f64 -2 eps) (/.f64 2/5 (pow.f64 eps 5)))) |
(+.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))) (-.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 eps 5)))) |
1 |
(+.f64 (*.f64 -2 eps) 1) |
(fma.f64 -2 eps 1) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1)) |
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) 1)) |
(fma.f64 -2 eps (fma.f64 eps (*.f64 eps 2) 1)) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3))))) |
(fma.f64 -2 eps (+.f64 (fma.f64 2 (*.f64 eps eps) 1) (*.f64 -2 (pow.f64 eps 3)))) |
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) (fma.f64 -2 (pow.f64 eps 3) 1))) |
(fma.f64 -2 eps (fma.f64 -2 (pow.f64 eps 3) (fma.f64 2 (*.f64 eps eps) 1))) |
(+.f64 1 (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 -2 eps) 2)) -2))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 eps)) 1) |
(+.f64 (/.f64 2 eps) -1) |
(+.f64 -1 (/.f64 2 eps)) |
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps)))) |
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps)))) |
(+.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 -2 (*.f64 eps eps)))) |
(+.f64 (/.f64 2 eps) (+.f64 -1 (/.f64 -2 (*.f64 eps eps)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
(+.f64 (/.f64 2 (pow.f64 eps 3)) (-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps))))) |
(-.f64 (+.f64 (/.f64 2 eps) (/.f64 2 (pow.f64 eps 3))) (+.f64 1 (/.f64 2 (*.f64 eps eps)))) |
(+.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 -2 (*.f64 eps eps))))) |
(+.f64 (+.f64 (/.f64 2 eps) (/.f64 2 (pow.f64 eps 3))) (+.f64 -1 (/.f64 -2 (*.f64 eps eps)))) |
(+.f64 -1 (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2 (pow.f64 eps 3)) (/.f64 -2 (*.f64 eps eps))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 eps)) 1) |
(+.f64 (/.f64 2 eps) -1) |
(+.f64 -1 (/.f64 2 eps)) |
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps)))) |
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps)))) |
(+.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 -2 (*.f64 eps eps)))) |
(+.f64 (/.f64 2 eps) (+.f64 -1 (/.f64 -2 (*.f64 eps eps)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))) |
(+.f64 (/.f64 2 (pow.f64 eps 3)) (-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps))))) |
(-.f64 (+.f64 (/.f64 2 eps) (/.f64 2 (pow.f64 eps 3))) (+.f64 1 (/.f64 2 (*.f64 eps eps)))) |
(+.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 -2 (*.f64 eps eps))))) |
(+.f64 (+.f64 (/.f64 2 eps) (/.f64 2 (pow.f64 eps 3))) (+.f64 -1 (/.f64 -2 (*.f64 eps eps)))) |
(+.f64 -1 (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2 (pow.f64 eps 3)) (/.f64 -2 (*.f64 eps eps))))) |
1 |
(+.f64 1 (*.f64 -1 eps)) |
(+.f64 1 (neg.f64 eps)) |
(-.f64 1 eps) |
(+.f64 (pow.f64 eps 2) (+.f64 1 (*.f64 -1 eps))) |
(+.f64 (*.f64 eps eps) (+.f64 1 (neg.f64 eps))) |
(-.f64 (fma.f64 eps eps 1) eps) |
(fma.f64 eps eps (-.f64 1 eps)) |
(+.f64 (pow.f64 eps 2) (+.f64 1 (+.f64 (*.f64 -1 eps) (*.f64 -1 (pow.f64 eps 3))))) |
(+.f64 (*.f64 eps eps) (+.f64 1 (*.f64 -1 (+.f64 eps (pow.f64 eps 3))))) |
(fma.f64 eps eps (-.f64 (-.f64 1 eps) (pow.f64 eps 3))) |
(-.f64 (fma.f64 eps eps 1) (+.f64 eps (pow.f64 eps 3))) |
(-.f64 (-.f64 (fma.f64 eps eps 1) (pow.f64 eps 3)) eps) |
(/.f64 1 eps) |
(-.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 2))) |
(-.f64 (/.f64 1 eps) (/.f64 1 (*.f64 eps eps))) |
(+.f64 (/.f64 1 eps) (/.f64 -1 (*.f64 eps eps))) |
(+.f64 (/.f64 1 eps) (/.f64 (/.f64 -1 eps) eps)) |
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (pow.f64 eps 2))) |
(+.f64 (/.f64 1 eps) (-.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 1 (*.f64 eps eps)))) |
(+.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 -1 (*.f64 eps eps))) |
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 -1 (*.f64 eps eps)))) |
(+.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 (/.f64 -1 eps) eps)) |
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2)))) |
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 4)))) |
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 -1 (*.f64 eps eps)) (/.f64 -1 (pow.f64 eps 4))))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 -1 (pow.f64 eps 4))) (-.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 eps))) |
(+.f64 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 1 eps) (-.f64 (/.f64 (/.f64 -1 eps) eps) (/.f64 1 (pow.f64 eps 4))))) |
(/.f64 1 eps) |
(-.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 2))) |
(-.f64 (/.f64 1 eps) (/.f64 1 (*.f64 eps eps))) |
(+.f64 (/.f64 1 eps) (/.f64 -1 (*.f64 eps eps))) |
(+.f64 (/.f64 1 eps) (/.f64 (/.f64 -1 eps) eps)) |
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (pow.f64 eps 2))) |
(+.f64 (/.f64 1 eps) (-.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 1 (*.f64 eps eps)))) |
(+.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 -1 (*.f64 eps eps))) |
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 -1 (*.f64 eps eps)))) |
(+.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 (/.f64 -1 eps) eps)) |
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2)))) |
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 4)))) |
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 -1 (*.f64 eps eps)) (/.f64 -1 (pow.f64 eps 4))))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 -1 (pow.f64 eps 4))) (-.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 eps))) |
(+.f64 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 1 eps) (-.f64 (/.f64 (/.f64 -1 eps) eps) (/.f64 1 (pow.f64 eps 4))))) |
1 |
(+.f64 (pow.f64 eps 2) 1) |
(+.f64 1 (*.f64 eps eps)) |
(fma.f64 eps eps 1) |
(+.f64 (pow.f64 eps 2) (+.f64 1 (pow.f64 eps 4))) |
(+.f64 (+.f64 1 (*.f64 eps eps)) (pow.f64 eps 4)) |
(+.f64 (pow.f64 eps 4) (fma.f64 eps eps 1)) |
(+.f64 1 (fma.f64 eps eps (pow.f64 eps 4))) |
(+.f64 (pow.f64 eps 2) (+.f64 1 (+.f64 (pow.f64 eps 4) (pow.f64 eps 6)))) |
(+.f64 (*.f64 eps eps) (+.f64 1 (+.f64 (pow.f64 eps 4) (pow.f64 eps 6)))) |
(+.f64 (fma.f64 eps eps 1) (+.f64 (pow.f64 eps 4) (pow.f64 eps 6))) |
(+.f64 (pow.f64 eps 4) (+.f64 (fma.f64 eps eps 1) (pow.f64 eps 6))) |
(/.f64 -1 (pow.f64 eps 2)) |
(/.f64 -1 (*.f64 eps eps)) |
(/.f64 (/.f64 -1 eps) eps) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 4)))) |
(+.f64 (/.f64 -1 (*.f64 eps eps)) (/.f64 -1 (pow.f64 eps 4))) |
(-.f64 (/.f64 (/.f64 -1 eps) eps) (/.f64 1 (pow.f64 eps 4))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (pow.f64 eps 6)) (/.f64 1 (pow.f64 eps 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 6))))) |
(-.f64 (/.f64 -1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 6)))) |
(+.f64 (/.f64 -1 (*.f64 eps eps)) (+.f64 (/.f64 -1 (pow.f64 eps 4)) (/.f64 -1 (pow.f64 eps 6)))) |
(+.f64 (-.f64 (/.f64 (/.f64 -1 eps) eps) (/.f64 1 (pow.f64 eps 4))) (/.f64 -1 (pow.f64 eps 6))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (pow.f64 eps 6)) (+.f64 (/.f64 1 (pow.f64 eps 8)) (/.f64 1 (pow.f64 eps 2)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (pow.f64 eps 6)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 8)))))) |
(-.f64 (/.f64 -1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (pow.f64 eps 6)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 8))))) |
(+.f64 (/.f64 -1 (pow.f64 eps 4)) (-.f64 (+.f64 (/.f64 -1 (*.f64 eps eps)) (/.f64 -1 (pow.f64 eps 6))) (/.f64 1 (pow.f64 eps 8)))) |
(+.f64 (-.f64 (/.f64 (/.f64 -1 eps) eps) (/.f64 1 (pow.f64 eps 4))) (+.f64 (/.f64 -1 (pow.f64 eps 6)) (/.f64 -1 (pow.f64 eps 8)))) |
(/.f64 -1 (pow.f64 eps 2)) |
(/.f64 -1 (*.f64 eps eps)) |
(/.f64 (/.f64 -1 eps) eps) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 4)))) |
(+.f64 (/.f64 -1 (*.f64 eps eps)) (/.f64 -1 (pow.f64 eps 4))) |
(-.f64 (/.f64 (/.f64 -1 eps) eps) (/.f64 1 (pow.f64 eps 4))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (pow.f64 eps 6)) (/.f64 1 (pow.f64 eps 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 6))))) |
(-.f64 (/.f64 -1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 6)))) |
(+.f64 (/.f64 -1 (*.f64 eps eps)) (+.f64 (/.f64 -1 (pow.f64 eps 4)) (/.f64 -1 (pow.f64 eps 6)))) |
(+.f64 (-.f64 (/.f64 (/.f64 -1 eps) eps) (/.f64 1 (pow.f64 eps 4))) (/.f64 -1 (pow.f64 eps 6))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (pow.f64 eps 6)) (+.f64 (/.f64 1 (pow.f64 eps 8)) (/.f64 1 (pow.f64 eps 2)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (pow.f64 eps 6)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 8)))))) |
(-.f64 (/.f64 -1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (pow.f64 eps 6)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 8))))) |
(+.f64 (/.f64 -1 (pow.f64 eps 4)) (-.f64 (+.f64 (/.f64 -1 (*.f64 eps eps)) (/.f64 -1 (pow.f64 eps 6))) (/.f64 1 (pow.f64 eps 8)))) |
(+.f64 (-.f64 (/.f64 (/.f64 -1 eps) eps) (/.f64 1 (pow.f64 eps 4))) (+.f64 (/.f64 -1 (pow.f64 eps 6)) (/.f64 -1 (pow.f64 eps 8)))) |
Compiled 6240 to 4031 computations (35.4% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 340 | 1 | 341 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 6 | 7 |
| Total | 341 | 8 | 349 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| ✓ | 58.6b | (log.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) (-.f64 1 eps))) |
| ✓ | 58.6b | (log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))) |
| ✓ | 0.3b | (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) |
| ▶ | 0.0b | (-.f64 (*.f64 2 (log1p.f64 (neg.f64 eps))) (log1p.f64 (*.f64 eps (neg.f64 eps)))) |
| ✓ | 0.6b | (*.f64 -2 eps) |
| ✓ | 58.6b | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| ✓ | 0.3b | (+.f64 (*.f64 (*.f64 -2/3 (*.f64 eps eps)) eps) (*.f64 -2 eps)) |
Compiled 81 to 59 computations (27.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 (*.f64 2 (log1p.f64 (neg.f64 eps))) (log1p.f64 (*.f64 eps (neg.f64 eps)))) | |
| 0.0b | (log1p.f64 (*.f64 eps (neg.f64 eps))) | |
| ✓ | 0.0b | (log1p.f64 (*.f64 eps (neg.f64 eps))) |
| ✓ | 0.0b | (-.f64 (*.f64 2 (log1p.f64 (neg.f64 eps))) (log1p.f64 (*.f64 eps (neg.f64 eps)))) |
Compiled 33 to 11 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (-.f64 (*.f64 2 (log1p.f64 (neg.f64 eps))) (log1p.f64 (*.f64 eps (neg.f64 eps)))) |
| 1.0ms | eps | @ | inf | (-.f64 (*.f64 2 (log1p.f64 (neg.f64 eps))) (log1p.f64 (*.f64 eps (neg.f64 eps)))) |
| 1.0ms | eps | @ | inf | (log1p.f64 (*.f64 eps (neg.f64 eps))) |
| 1.0ms | eps | @ | 0 | (log1p.f64 (*.f64 eps (neg.f64 eps))) |
| 0.0ms | eps | @ | -inf | (log1p.f64 (*.f64 eps (neg.f64 eps))) |
| 1× | batch-egg-rewrite |
| 841× | pow1_binary64 |
| 781× | add-log-exp_binary64 |
| 779× | expm1-log1p-u_binary64 |
| 777× | log1p-expm1-u_binary64 |
| 765× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 26 |
| 1 | 193 | 20 |
| 2 | 2527 | 20 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 2 (log1p.f64 (neg.f64 eps))) (log1p.f64 (*.f64 eps (neg.f64 eps)))) |
(log1p.f64 (*.f64 eps (neg.f64 eps))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log1p.f64 eps)) (neg.f64 (log1p.f64 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log1p.f64 eps)) (*.f64 (neg.f64 (log1p.f64 (*.f64 eps eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 2 (log1p.f64 eps)) (log1p.f64 (*.f64 eps eps))) (fma.f64 (neg.f64 (log1p.f64 (*.f64 eps eps))) 1 (log1p.f64 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 2 (log1p.f64 eps)) (log1p.f64 (*.f64 eps eps))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 eps eps)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 eps eps))) 2) (log1p.f64 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 2 (log1p.f64 eps)) (log1p.f64 (*.f64 eps eps))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 eps eps)))) (sqrt.f64 (log1p.f64 (*.f64 eps eps))) (log1p.f64 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 (*.f64 eps eps))) (*.f64 2 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 2 (log1p.f64 eps)) (log1p.f64 (*.f64 eps eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 2 (log1p.f64 eps)) (log1p.f64 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 2 (log1p.f64 eps)) (log1p.f64 (*.f64 eps eps)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 2 (log1p.f64 eps)) (log1p.f64 (*.f64 eps eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 2 (log1p.f64 eps)) (log1p.f64 (*.f64 eps eps)))) 2) (cbrt.f64 (-.f64 (*.f64 2 (log1p.f64 eps)) (log1p.f64 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 2 (log1p.f64 eps)) (log1p.f64 (*.f64 eps eps)))) (sqrt.f64 (-.f64 (*.f64 2 (log1p.f64 eps)) (log1p.f64 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 eps) 3) 8) (pow.f64 (log1p.f64 (*.f64 eps eps)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 2 (log1p.f64 eps)) 2) (*.f64 (log1p.f64 (*.f64 eps eps)) (fma.f64 2 (log1p.f64 eps) (log1p.f64 (*.f64 eps eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 2 (log1p.f64 eps)) 2) (pow.f64 (log1p.f64 (*.f64 eps eps)) 2)) (/.f64 1 (fma.f64 2 (log1p.f64 eps) (log1p.f64 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 2 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 (*.f64 eps eps)))) (-.f64 (sqrt.f64 (*.f64 2 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 2 (log1p.f64 eps)) 2) (*.f64 (log1p.f64 (*.f64 eps eps)) (fma.f64 2 (log1p.f64 eps) (log1p.f64 (*.f64 eps eps))))) (-.f64 (*.f64 (pow.f64 (log1p.f64 eps) 3) 8) (pow.f64 (log1p.f64 (*.f64 eps eps)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 2 (log1p.f64 eps) (log1p.f64 (*.f64 eps eps))) (-.f64 (pow.f64 (*.f64 2 (log1p.f64 eps)) 2) (pow.f64 (log1p.f64 (*.f64 eps eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 eps) 3) 8) (pow.f64 (log1p.f64 (*.f64 eps eps)) 3)) (+.f64 (pow.f64 (*.f64 2 (log1p.f64 eps)) 2) (*.f64 (log1p.f64 (*.f64 eps eps)) (fma.f64 2 (log1p.f64 eps) (log1p.f64 (*.f64 eps eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 2 (log1p.f64 eps)) 2) (pow.f64 (log1p.f64 (*.f64 eps eps)) 2)) (fma.f64 2 (log1p.f64 eps) (log1p.f64 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 eps) 3) 8) (pow.f64 (log1p.f64 (*.f64 eps eps)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 2 (log1p.f64 eps)) 2) (*.f64 (log1p.f64 (*.f64 eps eps)) (fma.f64 2 (log1p.f64 eps) (log1p.f64 (*.f64 eps eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 2 (log1p.f64 eps)) 2) (pow.f64 (log1p.f64 (*.f64 eps eps)) 2))) (neg.f64 (fma.f64 2 (log1p.f64 eps) (log1p.f64 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (log1p.f64 eps) 3) 8) (pow.f64 (neg.f64 (log1p.f64 (*.f64 eps eps))) 3)) (+.f64 (pow.f64 (*.f64 2 (log1p.f64 eps)) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 eps eps))) (neg.f64 (log1p.f64 (*.f64 eps eps)))) (*.f64 (*.f64 2 (log1p.f64 eps)) (neg.f64 (log1p.f64 (*.f64 eps eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 2 (log1p.f64 eps)) 2) (*.f64 (neg.f64 (log1p.f64 (*.f64 eps eps))) (neg.f64 (log1p.f64 (*.f64 eps eps))))) (-.f64 (*.f64 2 (log1p.f64 eps)) (neg.f64 (log1p.f64 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 2 (log1p.f64 eps)) (log1p.f64 (*.f64 eps eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 2 (log1p.f64 eps)) (log1p.f64 (*.f64 eps eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 2 (log1p.f64 eps)) (log1p.f64 (*.f64 eps eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 2 (log1p.f64 eps)) (log1p.f64 (*.f64 eps eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 2 (log1p.f64 eps)) (log1p.f64 (*.f64 eps eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 1 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 2 (log1p.f64 eps)) (log1p.f64 (*.f64 eps eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 2 (log1p.f64 eps)) (log1p.f64 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 2 (log1p.f64 eps)) (log1p.f64 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (log1p.f64 eps) (neg.f64 (log1p.f64 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 eps) 2 (neg.f64 (log1p.f64 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (log1p.f64 eps)) (neg.f64 (log1p.f64 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (log1p.f64 eps))) 2) (cbrt.f64 (*.f64 2 (log1p.f64 eps))) (neg.f64 (log1p.f64 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (log1p.f64 eps))) (sqrt.f64 (*.f64 2 (log1p.f64 eps))) (neg.f64 (log1p.f64 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 2 (log1p.f64 eps)) (log1p.f64 (*.f64 eps eps))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (*.f64 eps eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 eps eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 eps eps))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 eps eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 eps eps))) 2) (cbrt.f64 (log1p.f64 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 eps eps))) (sqrt.f64 (log1p.f64 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (*.f64 eps eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (*.f64 eps eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (*.f64 eps eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 eps eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (*.f64 eps eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (*.f64 eps eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (*.f64 eps eps)))))))) |
| 1× | egg-herbie |
| 624× | associate-*l*_binary64 |
| 610× | fma-neg_binary64 |
| 453× | sub-neg_binary64 |
| 431× | associate-*r*_binary64 |
| 431× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 549 |
| 1 | 303 | 523 |
| 2 | 905 | 458 |
| 3 | 3343 | 444 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3))))) |
(-.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 eps))) (log.f64 -1))) |
(-.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))) (+.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 eps)))))) |
(-.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 eps))) (*.f64 2 (/.f64 1 eps)))))) |
(-.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 eps))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))))) |
(*.f64 -1 (log.f64 -1)) |
(-.f64 (*.f64 -1 (log.f64 -1)) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
(*.f64 -1 (pow.f64 eps 2)) |
(+.f64 (*.f64 -1 (pow.f64 eps 2)) (*.f64 -1/2 (pow.f64 eps 4))) |
(+.f64 (*.f64 -1 (pow.f64 eps 2)) (+.f64 (*.f64 -1/3 (pow.f64 eps 6)) (*.f64 -1/2 (pow.f64 eps 4)))) |
(+.f64 (*.f64 -1 (pow.f64 eps 2)) (+.f64 (*.f64 -1/4 (pow.f64 eps 8)) (+.f64 (*.f64 -1/3 (pow.f64 eps 6)) (*.f64 -1/2 (pow.f64 eps 4))))) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 eps))) (log.f64 -1)) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 eps)))) (/.f64 1 (pow.f64 eps 2))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 eps)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 4))) (/.f64 1 (pow.f64 eps 2)))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 eps)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 4))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 eps 6))) (/.f64 1 (pow.f64 eps 2))))) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 eps))) (log.f64 -1)) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (/.f64 1 (pow.f64 eps 2))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 4))) (/.f64 1 (pow.f64 eps 2)))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 4))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 eps 6))) (/.f64 1 (pow.f64 eps 2))))) |
| Outputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))) |
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))) |
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))) |
(fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))) |
(fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2 eps))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3))))) |
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/3 (pow.f64 eps 3))))) |
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7))))) |
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))))) |
(-.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 eps))) (log.f64 -1))) |
(fma.f64 2 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps)))) (neg.f64 (fma.f64 -2 (neg.f64 (log.f64 eps)) (log.f64 -1)))) |
(-.f64 (*.f64 2 (+.f64 (log.f64 -1) (log.f64 eps))) (+.f64 (log.f64 -1) (*.f64 2 (log.f64 eps)))) |
(fma.f64 2 (log.f64 -1) (neg.f64 (log.f64 -1))) |
(*.f64 (log.f64 -1) 1) |
(-.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))) (+.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 eps)))))) |
(fma.f64 2 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps)))) (neg.f64 (+.f64 (log.f64 -1) (fma.f64 -2 (neg.f64 (log.f64 eps)) (/.f64 2 eps))))) |
(-.f64 (fma.f64 2 (+.f64 (log.f64 -1) (log.f64 eps)) (/.f64 -2 eps)) (+.f64 (log.f64 -1) (*.f64 2 (log.f64 eps)))) |
(fma.f64 2 (log.f64 -1) (-.f64 (/.f64 -2 eps) (log.f64 -1))) |
(+.f64 (/.f64 -2 eps) (*.f64 (log.f64 -1) 1)) |
(-.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 eps))) (*.f64 2 (/.f64 1 eps)))))) |
(-.f64 (*.f64 2 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps))))) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (log.f64 -1) (fma.f64 -2 (neg.f64 (log.f64 eps)) (/.f64 2 eps))))) |
(-.f64 (-.f64 (fma.f64 2 (+.f64 (log.f64 -1) (log.f64 eps)) (/.f64 -2 eps)) (+.f64 (log.f64 -1) (*.f64 2 (log.f64 eps)))) (/.f64 2/3 (pow.f64 eps 3))) |
(+.f64 (/.f64 -2/3 (pow.f64 eps 3)) (fma.f64 2 (log.f64 -1) (-.f64 (/.f64 -2 eps) (log.f64 -1)))) |
(+.f64 (/.f64 -2/3 (pow.f64 eps 3)) (+.f64 (/.f64 -2 eps) (*.f64 (log.f64 -1) 1))) |
(-.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 eps))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))))) |
(-.f64 (*.f64 2 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps))))) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (log.f64 -1) (+.f64 (fma.f64 -2 (neg.f64 (log.f64 eps)) (/.f64 2 eps)) (/.f64 2/5 (pow.f64 eps 5)))))) |
(-.f64 (*.f64 2 (+.f64 (log.f64 -1) (log.f64 eps))) (+.f64 (log.f64 -1) (+.f64 (+.f64 (*.f64 2 (log.f64 eps)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))) (/.f64 2/3 (pow.f64 eps 3))))) |
(-.f64 (+.f64 (/.f64 -2/3 (pow.f64 eps 3)) (fma.f64 2 (log.f64 -1) (-.f64 (/.f64 -2 eps) (log.f64 -1)))) (/.f64 2/5 (pow.f64 eps 5))) |
(+.f64 (*.f64 (log.f64 -1) 1) (+.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))) (/.f64 -2/5 (pow.f64 eps 5)))) |
(*.f64 -1 (log.f64 -1)) |
(neg.f64 (log.f64 -1)) |
(-.f64 (*.f64 -1 (log.f64 -1)) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (neg.f64 (log.f64 -1)) (/.f64 2 eps)) |
(fma.f64 -1 (log.f64 -1) (/.f64 -2 eps)) |
(-.f64 (/.f64 -2 eps) (log.f64 -1)) |
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (neg.f64 (log.f64 -1)) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3)))) |
(-.f64 (fma.f64 -1 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) |
(+.f64 (/.f64 -2/3 (pow.f64 eps 3)) (-.f64 (/.f64 -2 eps) (log.f64 -1))) |
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
(-.f64 (neg.f64 (log.f64 -1)) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5))))) |
(-.f64 (-.f64 (fma.f64 -1 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5))) |
(+.f64 (+.f64 (/.f64 -2/3 (pow.f64 eps 3)) (-.f64 (/.f64 -2 eps) (log.f64 -1))) (/.f64 -2/5 (pow.f64 eps 5))) |
(+.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))) (-.f64 (/.f64 -2/5 (pow.f64 eps 5)) (log.f64 -1))) |
(*.f64 -1 (pow.f64 eps 2)) |
(neg.f64 (*.f64 eps eps)) |
(*.f64 eps (neg.f64 eps)) |
(+.f64 (*.f64 -1 (pow.f64 eps 2)) (*.f64 -1/2 (pow.f64 eps 4))) |
(fma.f64 -1 (*.f64 eps eps) (*.f64 -1/2 (pow.f64 eps 4))) |
(-.f64 (*.f64 -1/2 (pow.f64 eps 4)) (*.f64 eps eps)) |
(fma.f64 -1/2 (pow.f64 eps 4) (*.f64 eps (neg.f64 eps))) |
(+.f64 (*.f64 -1 (pow.f64 eps 2)) (+.f64 (*.f64 -1/3 (pow.f64 eps 6)) (*.f64 -1/2 (pow.f64 eps 4)))) |
(fma.f64 -1 (*.f64 eps eps) (fma.f64 -1/3 (pow.f64 eps 6) (*.f64 -1/2 (pow.f64 eps 4)))) |
(-.f64 (fma.f64 -1/2 (pow.f64 eps 4) (*.f64 -1/3 (pow.f64 eps 6))) (*.f64 eps eps)) |
(fma.f64 -1/2 (pow.f64 eps 4) (-.f64 (*.f64 -1/3 (pow.f64 eps 6)) (*.f64 eps eps))) |
(+.f64 (*.f64 -1 (pow.f64 eps 2)) (+.f64 (*.f64 -1/4 (pow.f64 eps 8)) (+.f64 (*.f64 -1/3 (pow.f64 eps 6)) (*.f64 -1/2 (pow.f64 eps 4))))) |
(fma.f64 -1 (*.f64 eps eps) (fma.f64 -1/4 (pow.f64 eps 8) (fma.f64 -1/3 (pow.f64 eps 6) (*.f64 -1/2 (pow.f64 eps 4))))) |
(-.f64 (fma.f64 -1/4 (pow.f64 eps 8) (fma.f64 -1/2 (pow.f64 eps 4) (*.f64 -1/3 (pow.f64 eps 6)))) (*.f64 eps eps)) |
(fma.f64 -1/4 (pow.f64 eps 8) (fma.f64 -1/2 (pow.f64 eps 4) (-.f64 (*.f64 -1/3 (pow.f64 eps 6)) (*.f64 eps eps)))) |
(-.f64 (fma.f64 -1/2 (pow.f64 eps 4) (fma.f64 -1/3 (pow.f64 eps 6) (*.f64 -1/4 (pow.f64 eps 8)))) (*.f64 eps eps)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 eps))) (log.f64 -1)) |
(fma.f64 -2 (neg.f64 (log.f64 eps)) (log.f64 -1)) |
(+.f64 (log.f64 -1) (*.f64 2 (log.f64 eps))) |
(fma.f64 2 (log.f64 eps) (log.f64 -1)) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 eps)))) (/.f64 1 (pow.f64 eps 2))) |
(-.f64 (fma.f64 -2 (neg.f64 (log.f64 eps)) (log.f64 -1)) (/.f64 1 (*.f64 eps eps))) |
(+.f64 (log.f64 -1) (+.f64 (*.f64 2 (log.f64 eps)) (/.f64 -1 (*.f64 eps eps)))) |
(-.f64 (fma.f64 2 (log.f64 eps) (log.f64 -1)) (/.f64 1 (*.f64 eps eps))) |
(+.f64 (log.f64 -1) (fma.f64 2 (log.f64 eps) (/.f64 -1 (*.f64 eps eps)))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 eps)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 4))) (/.f64 1 (pow.f64 eps 2)))) |
(-.f64 (fma.f64 -2 (neg.f64 (log.f64 eps)) (log.f64 -1)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1/2 (pow.f64 eps 4)))) |
(+.f64 (log.f64 -1) (-.f64 (+.f64 (*.f64 2 (log.f64 eps)) (/.f64 -1 (*.f64 eps eps))) (/.f64 1/2 (pow.f64 eps 4)))) |
(+.f64 (log.f64 -1) (fma.f64 2 (log.f64 eps) (-.f64 (/.f64 -1/2 (pow.f64 eps 4)) (/.f64 1 (*.f64 eps eps))))) |
(+.f64 (log.f64 -1) (+.f64 (fma.f64 2 (log.f64 eps) (/.f64 -1 (*.f64 eps eps))) (/.f64 -1/2 (pow.f64 eps 4)))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 eps)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 4))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 eps 6))) (/.f64 1 (pow.f64 eps 2))))) |
(-.f64 (fma.f64 -2 (neg.f64 (log.f64 eps)) (log.f64 -1)) (+.f64 (/.f64 1/2 (pow.f64 eps 4)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1/3 (pow.f64 eps 6))))) |
(-.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 2 (log.f64 eps))) (+.f64 (/.f64 1/2 (pow.f64 eps 4)) (/.f64 1/3 (pow.f64 eps 6)))) (/.f64 1 (*.f64 eps eps))) |
(+.f64 (log.f64 -1) (+.f64 (-.f64 (fma.f64 2 (log.f64 eps) (/.f64 -1/2 (pow.f64 eps 4))) (/.f64 1/3 (pow.f64 eps 6))) (/.f64 -1 (*.f64 eps eps)))) |
(+.f64 (fma.f64 2 (log.f64 eps) (log.f64 -1)) (+.f64 (/.f64 -1 (*.f64 eps eps)) (+.f64 (/.f64 -1/2 (pow.f64 eps 4)) (/.f64 -1/3 (pow.f64 eps 6))))) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 eps))) (log.f64 -1)) |
(fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (/.f64 1 (pow.f64 eps 2))) |
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (/.f64 1 (*.f64 eps eps))) |
(+.f64 (log.f64 -1) (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (/.f64 -1 (*.f64 eps eps)))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 4))) (/.f64 1 (pow.f64 eps 2)))) |
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1/2 (pow.f64 eps 4)))) |
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (/.f64 -1 (*.f64 eps eps))) (/.f64 1/2 (pow.f64 eps 4)))) |
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (/.f64 -1/2 (pow.f64 eps 4))) (/.f64 1 (*.f64 eps eps)))) |
(+.f64 (/.f64 -1 (*.f64 eps eps)) (+.f64 (log.f64 -1) (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (/.f64 -1/2 (pow.f64 eps 4))))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 4))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 eps 6))) (/.f64 1 (pow.f64 eps 2))))) |
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (+.f64 (/.f64 1/2 (pow.f64 eps 4)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1/3 (pow.f64 eps 6))))) |
(-.f64 (+.f64 (log.f64 -1) (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (/.f64 -1 (*.f64 eps eps))) (/.f64 1/2 (pow.f64 eps 4)))) (/.f64 1/3 (pow.f64 eps 6))) |
(+.f64 (log.f64 -1) (+.f64 (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (/.f64 -1 (*.f64 eps eps))) (/.f64 1/3 (pow.f64 eps 6))) (/.f64 -1/2 (pow.f64 eps 4)))) |
(+.f64 (log.f64 -1) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 eps)) (/.f64 -1 (*.f64 eps eps))) (+.f64 (/.f64 -1/2 (pow.f64 eps 4)) (/.f64 -1/3 (pow.f64 eps 6))))) |
Compiled 1802 to 1078 computations (40.2% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 99 | 0 | 99 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 99 | 8 | 107 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| ✓ | 58.6b | (log.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) (-.f64 1 eps))) |
| ✓ | 58.6b | (log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))) |
| ✓ | 0.3b | (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) |
| ✓ | 0.0b | (-.f64 (*.f64 2 (log1p.f64 (neg.f64 eps))) (log1p.f64 (*.f64 eps (neg.f64 eps)))) |
| ✓ | 0.6b | (*.f64 -2 eps) |
| ✓ | 58.6b | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| ✓ | 0.3b | (+.f64 (*.f64 (*.f64 -2/3 (*.f64 eps eps)) eps) (*.f64 -2 eps)) |
Compiled 81 to 59 computations (27.2% saved)
| Inputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 (*.f64 -2/3 (*.f64 eps eps)) eps) (*.f64 -2 eps)) |
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
(*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) |
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))) |
(log.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) (-.f64 1 eps))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(-.f64 (*.f64 2 (log1p.f64 (neg.f64 eps))) (log1p.f64 (*.f64 eps (neg.f64 eps)))) |
| Outputs |
|---|
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
3 calls:
| 5.0ms | eps |
| 2.0ms | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 2.0ms | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | eps |
| 0.0b | 1 | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 0.0b | 1 | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
Compiled 93 to 62 computations (33.3% saved)
Total -58.8b remaining (-23086.2%)
Threshold costs -58.8b (-23086.2%)
| Inputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 (*.f64 -2/3 (*.f64 eps eps)) eps) (*.f64 -2 eps)) |
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
(*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) |
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))) |
(log.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) (-.f64 1 eps))) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 -2/3 (*.f64 eps eps)) eps) (*.f64 -2 eps)) |
3 calls:
| 6.0ms | eps |
| 2.0ms | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
| 2.0ms | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | eps |
| 0.3b | 1 | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 0.3b | 1 | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
Compiled 76 to 53 computations (30.3% saved)
| 1× | egg-herbie |
| 5× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 30 |
| 1 | 23 | 30 |
| 2 | 28 | 30 |
| 3 | 31 | 30 |
| 4 | 32 | 30 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(+.f64 (*.f64 (*.f64 -2/3 (*.f64 eps eps)) eps) (*.f64 -2 eps)) |
(*.f64 -2 eps) |
| Outputs |
|---|
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(+.f64 (*.f64 (*.f64 -2/3 (*.f64 eps eps)) eps) (*.f64 -2 eps)) |
(+.f64 (*.f64 eps (*.f64 -2/3 (*.f64 eps eps))) (*.f64 eps -2)) |
(*.f64 -2 eps) |
(*.f64 eps -2) |
| 1× | done |
Compiled 44 to 30 computations (31.8% saved)
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