Time bar (total: 6.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 50% | 0% | 25% | 25% | 0% | 3 |
| 50% | 25% | 25% | 0% | 25% | 25% | 0% | 4 |
| 75% | 37.5% | 12.5% | 0% | 25% | 25% | 0% | 5 |
| 87.5% | 43.7% | 6.2% | 0% | 25% | 25% | 0% | 6 |
| 93.8% | 46.9% | 3.1% | 0% | 25% | 25% | 0% | 7 |
| 96.9% | 48.4% | 1.6% | 0% | 25% | 25% | 0% | 8 |
| 98.4% | 49.2% | 0.8% | 0% | 25% | 25% | 0% | 9 |
| 99.2% | 49.6% | 0.4% | 0% | 25% | 25% | 0% | 10 |
| 99.6% | 49.8% | 0.2% | 0% | 25% | 25% | 0% | 11 |
| 99.8% | 49.9% | 0.1% | 0% | 25% | 25% | 0% | 12 |
Compiled 10 to 8 computations (20% saved)
| 2.2s | 4197× | body | 1024 | valid |
| 1.0s | 2032× | body | 512 | valid |
| 290.0ms | 423× | body | 2048 | valid |
| 230.0ms | 1604× | body | 256 | valid |
| 0.0ms | 5× | body | 256 | invalid |
| 2× | egg-herbie |
| 1088× | fma-neg_binary64 |
| 890× | fma-def_binary64 |
| 719× | distribute-rgt-in_binary64 |
| 491× | distribute-lft-in_binary64 |
| 331× | 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 | 159 | 10 |
| 7 | 292 | 10 |
| 8 | 604 | 10 |
| 9 | 1037 | 10 |
| 10 | 1444 | 10 |
| 11 | 2002 | 10 |
| 12 | 2740 | 10 |
| 13 | 3835 | 10 |
| 14 | 4670 | 10 |
| 15 | 4768 | 10 |
| 16 | 4800 | 10 |
| 17 | 4800 | 10 |
| 18 | 6393 | 10 |
| 19 | 6748 | 10 |
| 20 | 6826 | 10 |
| 21 | 6834 | 10 |
| 22 | 6842 | 10 |
| 23 | 6842 | 10 |
| 24 | 7042 | 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 |
| 890× | fma-def_binary64 |
| 719× | distribute-rgt-in_binary64 |
| 491× | distribute-lft-in_binary64 |
| 331× | 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 | 159 | 10 |
| 7 | 292 | 10 |
| 8 | 604 | 10 |
| 9 | 1037 | 10 |
| 10 | 1444 | 10 |
| 11 | 2002 | 10 |
| 12 | 2740 | 10 |
| 13 | 3835 | 10 |
| 14 | 4670 | 10 |
| 15 | 4768 | 10 |
| 16 | 4800 | 10 |
| 17 | 4800 | 10 |
| 18 | 6393 | 10 |
| 19 | 6748 | 10 |
| 20 | 6826 | 10 |
| 21 | 6834 | 10 |
| 22 | 6842 | 10 |
| 23 | 6842 | 10 |
| 24 | 7042 | 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 |
|---|---|---|
| 5.5b | (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)) |
| ✓ | 5.5b | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
Compiled 24 to 17 computations (29.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | 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))) |
| 1.0ms | eps | @ | inf | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
| 1.0ms | 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 | 2156 | 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 (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 (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 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 (+.f64 (neg.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 (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 expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(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 +.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 (+.f64 (neg.f64 eps) -1)))))) (#(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 (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 neg.f64 (/.f64 (-.f64 1 eps) (+.f64 (neg.f64 eps) -1)))))) (#(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 expm1.f64 (log1p.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(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))))))) |
| 1× | egg-herbie |
| 613× | fma-def_binary64 |
| 502× | times-frac_binary64 |
| 462× | fma-neg_binary64 |
| 449× | associate-/l/_binary64 |
| 410× | associate-*l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 309 |
| 1 | 164 | 307 |
| 2 | 410 | 307 |
| 3 | 1133 | 301 |
| 4 | 3353 | 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 (*.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 (+.f64 (log.f64 -1) (/.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 (/.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 (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 -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)))) |
(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 (+.f64 (log.f64 -1) (/.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 (/.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 (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 -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)))) |
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 -1 (+.f64 (/.f64 -2 (*.f64 eps eps)) (/.f64 2 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 eps) (-.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 1 (/.f64 2 (*.f64 eps eps))))) |
(+.f64 (+.f64 -1 (/.f64 2 eps)) (+.f64 (/.f64 -2 (*.f64 eps eps)) (/.f64 2 (pow.f64 eps 3)))) |
(+.f64 (+.f64 (/.f64 2 eps) (+.f64 -1 (/.f64 -2 (*.f64 eps eps)))) (/.f64 2 (pow.f64 eps 3))) |
(+.f64 (/.f64 2 eps) (fma.f64 (/.f64 1 (*.f64 eps eps)) (+.f64 (/.f64 2 eps) -2) -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 -1 (+.f64 (/.f64 -2 (*.f64 eps eps)) (/.f64 2 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 eps) (-.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 1 (/.f64 2 (*.f64 eps eps))))) |
(+.f64 (+.f64 -1 (/.f64 2 eps)) (+.f64 (/.f64 -2 (*.f64 eps eps)) (/.f64 2 (pow.f64 eps 3)))) |
(+.f64 (+.f64 (/.f64 2 eps) (+.f64 -1 (/.f64 -2 (*.f64 eps eps)))) (/.f64 2 (pow.f64 eps 3))) |
(+.f64 (/.f64 2 eps) (fma.f64 (/.f64 1 (*.f64 eps eps)) (+.f64 (/.f64 2 eps) -2) -1)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (log1p.f64 eps) | |
| 0.0b | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) | |
| ✓ | 0.0b | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| ✓ | 0.0b | (log1p.f64 eps) |
Compiled 15 to 5 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (log1p.f64 eps) |
| 1.0ms | eps | @ | 0 | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| 1.0ms | eps | @ | inf | (log1p.f64 eps) |
| 0.0ms | eps | @ | inf | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| 0.0ms | eps | @ | -inf | (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 | 13 |
| 1 | 130 | 11 |
| 2 | 1865 | 11 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 eps) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 eps 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 eps))))))) |
((#(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 expm1.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(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))))))) |
| 1× | egg-herbie |
| 913× | fma-def_binary64 |
| 580× | sub-neg_binary64 |
| 557× | times-frac_binary64 |
| 278× | associate-+l-_binary64 |
| 263× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 374 |
| 1 | 230 | 339 |
| 2 | 595 | 334 |
| 3 | 1829 | 328 |
| 4 | 5715 | 328 |
| 1× | node limit |
| Inputs |
|---|
eps |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) eps) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 -1/4 (pow.f64 eps 4))))) |
(*.f64 -1 (log.f64 (/.f64 1 eps))) |
(+.f64 (/.f64 1 eps) (*.f64 -1 (log.f64 (/.f64 1 eps)))) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (log.f64 (/.f64 1 eps)))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) |
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 eps))) (*.f64 1/3 (/.f64 1 (pow.f64 eps 3))))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (log.f64 -1)) |
(+.f64 (/.f64 1 eps) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 eps))))) |
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 eps))))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) |
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (*.f64 1/3 (/.f64 1 (pow.f64 eps 3)))))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) |
(*.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 |
|---|
eps |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) eps) |
(fma.f64 -1/2 (*.f64 eps eps) eps) |
(fma.f64 eps (*.f64 eps -1/2) eps) |
(*.f64 eps (fma.f64 eps -1/2 1)) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))) |
(+.f64 (fma.f64 -1/2 (*.f64 eps eps) eps) (*.f64 1/3 (pow.f64 eps 3))) |
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/3 (pow.f64 eps 3) eps)) |
(fma.f64 eps (*.f64 eps -1/2) (fma.f64 1/3 (pow.f64 eps 3) eps)) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps 1/3 -1/2) eps) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 -1/4 (pow.f64 eps 4))))) |
(+.f64 (fma.f64 -1/2 (*.f64 eps eps) eps) (fma.f64 1/3 (pow.f64 eps 3) (*.f64 -1/4 (pow.f64 eps 4)))) |
(fma.f64 eps (*.f64 eps -1/2) (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 -1/4 (pow.f64 eps 4) eps))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps 1/3 -1/2) (fma.f64 -1/4 (pow.f64 eps 4) eps)) |
(*.f64 -1 (log.f64 (/.f64 1 eps))) |
(neg.f64 (neg.f64 (log.f64 eps))) |
(log.f64 eps) |
(+.f64 (/.f64 1 eps) (*.f64 -1 (log.f64 (/.f64 1 eps)))) |
(+.f64 (/.f64 1 eps) (neg.f64 (neg.f64 (log.f64 eps)))) |
(+.f64 (/.f64 1 eps) (log.f64 eps)) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (log.f64 (/.f64 1 eps)))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) |
(-.f64 (+.f64 (/.f64 1 eps) (neg.f64 (neg.f64 (log.f64 eps)))) (/.f64 1/2 (*.f64 eps eps))) |
(+.f64 (+.f64 (/.f64 1 eps) (log.f64 eps)) (/.f64 -1/2 (*.f64 eps eps))) |
(+.f64 (/.f64 1 eps) (-.f64 (log.f64 eps) (/.f64 (/.f64 1/2 eps) eps))) |
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 eps))) (*.f64 1/3 (/.f64 1 (pow.f64 eps 3))))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) |
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 eps)) (/.f64 1/3 (pow.f64 eps 3))) (/.f64 1/2 (*.f64 eps eps)))) |
(+.f64 (/.f64 1 eps) (+.f64 (log.f64 eps) (-.f64 (/.f64 1/3 (pow.f64 eps 3)) (/.f64 (/.f64 1/2 eps) eps)))) |
(+.f64 (log.f64 eps) (+.f64 (/.f64 1/3 (pow.f64 eps 3)) (-.f64 (/.f64 1 eps) (/.f64 (/.f64 1/2 eps) eps)))) |
(+.f64 (log.f64 eps) (+.f64 (/.f64 1 eps) (-.f64 (/.f64 1/3 (pow.f64 eps 3)) (/.f64 (/.f64 1/2 eps) eps)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (log.f64 -1)) |
(neg.f64 (neg.f64 (log.f64 eps))) |
(log.f64 eps) |
(+.f64 (/.f64 1 eps) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 eps))))) |
(+.f64 (/.f64 1 eps) (neg.f64 (neg.f64 (log.f64 eps)))) |
(+.f64 (/.f64 1 eps) (log.f64 eps)) |
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 eps))))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) |
(-.f64 (+.f64 (/.f64 1 eps) (neg.f64 (neg.f64 (log.f64 eps)))) (/.f64 1/2 (*.f64 eps eps))) |
(+.f64 (+.f64 (/.f64 1 eps) (log.f64 eps)) (/.f64 -1/2 (*.f64 eps eps))) |
(+.f64 (/.f64 1 eps) (-.f64 (log.f64 eps) (/.f64 (/.f64 1/2 eps) eps))) |
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (*.f64 1/3 (/.f64 1 (pow.f64 eps 3)))))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) |
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 eps)) (/.f64 1/3 (pow.f64 eps 3))) (/.f64 1/2 (*.f64 eps eps)))) |
(+.f64 (/.f64 1 eps) (+.f64 (log.f64 eps) (-.f64 (/.f64 1/3 (pow.f64 eps 3)) (/.f64 (/.f64 1/2 eps) eps)))) |
(+.f64 (log.f64 eps) (+.f64 (/.f64 1/3 (pow.f64 eps 3)) (-.f64 (/.f64 1 eps) (/.f64 (/.f64 1/2 eps) eps)))) |
(+.f64 (log.f64 eps) (+.f64 (/.f64 1 eps) (-.f64 (/.f64 1/3 (pow.f64 eps 3)) (/.f64 (/.f64 1/2 eps) eps)))) |
(*.f64 -2 eps) |
(*.f64 eps -2) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2 eps (*.f64 (pow.f64 eps 3) -2/3)) |
(fma.f64 (pow.f64 eps 3) -2/3 (*.f64 eps -2)) |
(fma.f64 eps -2 (*.f64 (pow.f64 eps 3) -2/3)) |
(+.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 (pow.f64 eps 3) -2/3))) |
(fma.f64 eps -2 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2/5 (pow.f64 eps 5)))) |
(fma.f64 (pow.f64 eps 3) -2/3 (fma.f64 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 (pow.f64 eps 3) -2/3)))) |
(fma.f64 eps -2 (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2/7 (pow.f64 eps 7))))) |
(fma.f64 eps -2 (fma.f64 (pow.f64 eps 3) -2/3 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))))) |
(fma.f64 (pow.f64 eps 3) -2/3 (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 eps -2)))) |
(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 (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 (-.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 2/5 (pow.f64 eps 5)) (/.f64 2/3 (pow.f64 eps 3))))) |
(+.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))) (+.f64 (/.f64 -2/5 (pow.f64 eps 5)) (log.f64 -1))) |
(+.f64 (log.f64 -1) (+.f64 (/.f64 -2 eps) (+.f64 (/.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 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))) (log.f64 -1)) |
(-.f64 (/.f64 -2 eps) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3)))) |
(-.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 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))) (log.f64 -1)) (/.f64 -2/5 (pow.f64 eps 5))) |
(+.f64 (-.f64 (/.f64 -2 eps) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3)))) (/.f64 -2/5 (pow.f64 eps 5))) |
Compiled 2341 to 1405 computations (40% saved)
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 180 | 4 | 184 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 180 | 6 | 186 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| ▶ | 0.4b | (+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))) |
| ✓ | 58.6b | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| ▶ | 1.3b | (-.f64 (log1p.f64 (neg.f64 eps)) eps) |
| ▶ | 0.5b | (+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
| ▶ | 0.9b | (*.f64 -2 eps) |
Compiled 52 to 40 computations (23.1% saved)
Compiled 6 to 4 computations (33.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 -2/3 (pow.f64 eps 3)) | |
| 0.0b | (+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) | |
| ✓ | 0.0b | (+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
| ✓ | 0.2b | (*.f64 -2/3 (pow.f64 eps 3)) |
Compiled 25 to 19 computations (24% saved)
6 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 | @ | inf | (+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
| 1.0ms | eps | @ | -inf | (*.f64 -2/3 (pow.f64 eps 3)) |
| 0.0ms | eps | @ | 0 | (+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
| 1× | batch-egg-rewrite |
| 926× | pow1_binary64 |
| 871× | add-log-exp_binary64 |
| 870× | log1p-expm1-u_binary64 |
| 870× | expm1-log1p-u_binary64 |
| 854× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 18 |
| 1 | 201 | 18 |
| 2 | 2396 | 18 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2/3 (pow.f64 eps 3)) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
| Outputs |
|---|
((#(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 (*.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 (pow.f64 eps 3) 3) -8/27) 1/3)))) (#(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 cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 3) -8/27))))) (#(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 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 -.f64 (+.f64 1 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 eps eps) 4) (+.f64 (*.f64 eps -2) (*.f64 2/3 (pow.f64 eps 3)))) (/.f64 (*.f64 (pow.f64 eps 6) 4/9) (+.f64 (*.f64 eps -2) (*.f64 2/3 (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2))) (pow.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2))) 2) (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2))) (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 eps 3) -8) (*.f64 (pow.f64 (pow.f64 eps 3) 3) -8/27)) (/.f64 1 (+.f64 (*.f64 (*.f64 eps eps) 4) (-.f64 (*.f64 (pow.f64 eps 6) 4/9) (*.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 eps -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 eps eps) 4) (*.f64 (pow.f64 eps 6) 4/9)) (/.f64 1 (+.f64 (*.f64 eps -2) (*.f64 2/3 (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 eps eps) 4) (-.f64 (*.f64 (pow.f64 eps 6) 4/9) (*.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 eps -2)))) (+.f64 (*.f64 (pow.f64 eps 3) -8) (*.f64 (pow.f64 (pow.f64 eps 3) 3) -8/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 eps -2) (*.f64 2/3 (pow.f64 eps 3))) (-.f64 (*.f64 (*.f64 eps eps) 4) (*.f64 (pow.f64 eps 6) 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 eps 3) -8) (*.f64 (pow.f64 (pow.f64 eps 3) 3) -8/27)) (+.f64 (*.f64 (*.f64 eps eps) 4) (-.f64 (*.f64 (pow.f64 eps 6) 4/9) (*.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 eps -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 eps 3) -8) (*.f64 (pow.f64 (pow.f64 eps 3) 3) -8/27)) (+.f64 (*.f64 (pow.f64 eps 6) 4/9) (-.f64 (*.f64 (*.f64 eps eps) 4) (*.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 eps -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 eps eps) 4) (*.f64 (pow.f64 eps 6) 4/9)) (+.f64 (*.f64 eps -2) (*.f64 2/3 (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 eps 3) -8) (*.f64 (pow.f64 (pow.f64 eps 3) 3) -8/27))) (neg.f64 (+.f64 (*.f64 (*.f64 eps eps) 4) (-.f64 (*.f64 (pow.f64 eps 6) 4/9) (*.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 eps -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 eps eps) 4) (*.f64 (pow.f64 eps 6) 4/9))) (neg.f64 (+.f64 (*.f64 eps -2) (*.f64 2/3 (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 eps 6) 4/9) (*.f64 (*.f64 eps eps) 4)) (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 eps -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps -2 (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 3) -2/3 (*.f64 eps -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 eps (*.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 eps -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 eps -2) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 eps eps) 4)) (cbrt.f64 (*.f64 eps -2)) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 2) (*.f64 eps (cbrt.f64 -2/3)) (*.f64 eps -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 eps -2)) (sqrt.f64 (*.f64 eps -2)) (*.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 eps -2)))))) |
| 1× | egg-herbie |
| 1274× | sqr-pow_binary64 |
| 666× | pow-sqr_binary64 |
| 529× | cube-prod_binary64 |
| 468× | fabs-mul_binary64 |
| 442× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 18 |
| 1 | 18 | 18 |
| 2 | 35 | 18 |
| 3 | 63 | 18 |
| 4 | 120 | 18 |
| 5 | 333 | 18 |
| 6 | 1212 | 18 |
| 7 | 1899 | 18 |
| 8 | 1986 | 18 |
| 9 | 2119 | 18 |
| 10 | 2277 | 18 |
| 11 | 2515 | 18 |
| 12 | 2837 | 18 |
| 13 | 3261 | 18 |
| 14 | 3762 | 18 |
| 15 | 4362 | 18 |
| 16 | 5082 | 18 |
| 17 | 5401 | 18 |
| 18 | 5685 | 18 |
| 19 | 5905 | 18 |
| 20 | 6085 | 18 |
| 21 | 6167 | 18 |
| 22 | 7107 | 18 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2 eps) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(*.f64 -2/3 (pow.f64 eps 3)) |
| Outputs |
|---|
(*.f64 -2 eps) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(*.f64 -2/3 (pow.f64 eps 3)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 (log1p.f64 (neg.f64 eps)) eps) | |
| ✓ | 0.0b | (-.f64 (log1p.f64 (neg.f64 eps)) eps) |
Compiled 12 to 4 computations (66.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (-.f64 (log1p.f64 (neg.f64 eps)) eps) |
| 1.0ms | eps | @ | inf | (-.f64 (log1p.f64 (neg.f64 eps)) eps) |
| 1.0ms | eps | @ | -inf | (-.f64 (log1p.f64 (neg.f64 eps)) eps) |
| 1× | batch-egg-rewrite |
| 491× | pow1_binary64 |
| 476× | add-sqr-sqrt_binary64 |
| 459× | add-log-exp_binary64 |
| 458× | expm1-log1p-u_binary64 |
| 457× | log1p-expm1-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 1 | 111 | 6 |
| 2 | 1606 | 6 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log1p.f64 (neg.f64 eps)) eps) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 eps) eps)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 eps (log1p.f64 eps)) (fma.f64 eps 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 eps (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 eps (log1p.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 eps (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 eps (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 2) (/.f64 1 (+.f64 eps (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 eps (log1p.f64 eps))) (pow.f64 (cbrt.f64 (+.f64 eps (log1p.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 eps (log1p.f64 eps))) 2) (cbrt.f64 (+.f64 eps (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 eps (log1p.f64 eps))) (sqrt.f64 (+.f64 eps (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 eps 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 eps (+.f64 eps (log1p.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 eps)) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 eps (+.f64 eps (log1p.f64 eps)))) (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 eps (log1p.f64 eps)) (pow.f64 (+.f64 eps (log1p.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 2) (+.f64 eps (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 eps 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 eps (+.f64 eps (log1p.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 eps 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (-.f64 (*.f64 eps eps) (*.f64 eps (log1p.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 eps 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 eps (+.f64 eps (log1p.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 2)) (neg.f64 (+.f64 eps (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 eps (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 eps (log1p.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 eps (log1p.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 eps (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 eps (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 eps (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 eps (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 eps) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) eps))))) |
| 1× | egg-herbie |
| 679× | fma-neg_binary64 |
| 566× | fma-def_binary64 |
| 525× | sub-neg_binary64 |
| 489× | cancel-sign-sub-inv_binary64 |
| 348× | distribute-lft-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 190 |
| 1 | 118 | 170 |
| 2 | 330 | 166 |
| 3 | 1091 | 157 |
| 4 | 4330 | 157 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -2 eps)) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -2 eps) (*.f64 -1/3 (pow.f64 eps 3)))) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -1/4 (pow.f64 eps 4)) (*.f64 -1/3 (pow.f64 eps 3))))) |
(*.f64 -1 eps) |
(+.f64 (*.f64 -1 eps) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))) |
(-.f64 (+.f64 (*.f64 -1 eps) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))) (/.f64 1 eps)) |
(-.f64 (+.f64 (*.f64 -1 eps) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))) (+.f64 (/.f64 1 eps) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))))) |
(*.f64 -1 eps) |
(+.f64 (*.f64 -1 eps) (*.f64 -1 (log.f64 (/.f64 -1 eps)))) |
(-.f64 (+.f64 (*.f64 -1 eps) (*.f64 -1 (log.f64 (/.f64 -1 eps)))) (/.f64 1 eps)) |
(-.f64 (+.f64 (*.f64 -1 eps) (*.f64 -1 (log.f64 (/.f64 -1 eps)))) (+.f64 (/.f64 1 eps) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))))) |
| Outputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -2 eps)) |
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 -2 eps)) |
(fma.f64 -2 eps (*.f64 eps (*.f64 eps -1/2))) |
(*.f64 eps (+.f64 -2 (*.f64 eps -1/2))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -2 eps) (*.f64 -1/3 (pow.f64 eps 3)))) |
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -2 eps (*.f64 -1/3 (pow.f64 eps 3)))) |
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/3 (pow.f64 eps 3) (*.f64 -2 eps))) |
(fma.f64 -2 eps (*.f64 (*.f64 eps eps) (+.f64 -1/2 (*.f64 eps -1/3)))) |
(*.f64 eps (+.f64 -2 (*.f64 eps (fma.f64 eps -1/3 -1/2)))) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -1/4 (pow.f64 eps 4)) (*.f64 -1/3 (pow.f64 eps 3))))) |
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -2 eps (fma.f64 -1/4 (pow.f64 eps 4) (*.f64 -1/3 (pow.f64 eps 3))))) |
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -2 eps (fma.f64 -1/3 (pow.f64 eps 3) (*.f64 -1/4 (pow.f64 eps 4))))) |
(fma.f64 -2 eps (fma.f64 eps (*.f64 eps -1/2) (fma.f64 -1/3 (pow.f64 eps 3) (*.f64 -1/4 (pow.f64 eps 4))))) |
(fma.f64 eps (fma.f64 eps -1/2 -2) (*.f64 (pow.f64 eps 3) (+.f64 -1/3 (*.f64 eps -1/4)))) |
(*.f64 -1 eps) |
(neg.f64 eps) |
(+.f64 (*.f64 -1 eps) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))) |
(fma.f64 -1 eps (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps))))) |
(-.f64 (+.f64 (log.f64 -1) (log.f64 eps)) eps) |
(+.f64 (log.f64 -1) (-.f64 (log.f64 eps) eps)) |
(+.f64 (log.f64 eps) (-.f64 (log.f64 -1) eps)) |
(-.f64 (+.f64 (*.f64 -1 eps) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))) (/.f64 1 eps)) |
(-.f64 (fma.f64 -1 eps (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps))))) (/.f64 1 eps)) |
(+.f64 (-.f64 (+.f64 (log.f64 -1) (log.f64 eps)) eps) (/.f64 -1 eps)) |
(+.f64 (+.f64 (log.f64 -1) (-.f64 (log.f64 eps) eps)) (/.f64 -1 eps)) |
(+.f64 (+.f64 (log.f64 eps) (-.f64 (log.f64 -1) eps)) (/.f64 -1 eps)) |
(+.f64 (log.f64 -1) (-.f64 (log.f64 eps) (-.f64 eps (/.f64 -1 eps)))) |
(-.f64 (+.f64 (*.f64 -1 eps) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))) (+.f64 (/.f64 1 eps) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))))) |
(-.f64 (fma.f64 -1 eps (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps))))) (+.f64 (/.f64 1 eps) (/.f64 1/2 (*.f64 eps eps)))) |
(+.f64 (-.f64 (+.f64 (log.f64 -1) (log.f64 eps)) eps) (-.f64 (/.f64 -1 eps) (/.f64 1/2 (*.f64 eps eps)))) |
(+.f64 (+.f64 (log.f64 -1) (-.f64 (log.f64 eps) eps)) (+.f64 (/.f64 -1 eps) (/.f64 -1/2 (*.f64 eps eps)))) |
(+.f64 (+.f64 (log.f64 eps) (-.f64 (log.f64 -1) eps)) (+.f64 (/.f64 -1 eps) (/.f64 -1/2 (*.f64 eps eps)))) |
(*.f64 -1 eps) |
(neg.f64 eps) |
(+.f64 (*.f64 -1 eps) (*.f64 -1 (log.f64 (/.f64 -1 eps)))) |
(fma.f64 -1 eps (neg.f64 (log.f64 (/.f64 -1 eps)))) |
(-.f64 (neg.f64 eps) (log.f64 (/.f64 -1 eps))) |
(-.f64 (-.f64 (log.f64 eps) (log.f64 -1)) eps) |
(-.f64 (+.f64 (*.f64 -1 eps) (*.f64 -1 (log.f64 (/.f64 -1 eps)))) (/.f64 1 eps)) |
(-.f64 (fma.f64 -1 eps (neg.f64 (log.f64 (/.f64 -1 eps)))) (/.f64 1 eps)) |
(fma.f64 -1 (+.f64 eps (log.f64 (/.f64 -1 eps))) (/.f64 -1 eps)) |
(-.f64 (/.f64 -1 eps) (+.f64 eps (log.f64 (/.f64 -1 eps)))) |
(-.f64 (+.f64 (*.f64 -1 eps) (*.f64 -1 (log.f64 (/.f64 -1 eps)))) (+.f64 (/.f64 1 eps) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))))) |
(-.f64 (fma.f64 -1 eps (neg.f64 (log.f64 (/.f64 -1 eps)))) (+.f64 (/.f64 1 eps) (/.f64 1/2 (*.f64 eps eps)))) |
(-.f64 (fma.f64 -1 (+.f64 eps (log.f64 (/.f64 -1 eps))) (/.f64 -1 eps)) (/.f64 1/2 (*.f64 eps eps))) |
(+.f64 (-.f64 (/.f64 -1 eps) (+.f64 eps (log.f64 (/.f64 -1 eps)))) (/.f64 -1/2 (*.f64 eps eps))) |
(-.f64 (/.f64 -1/2 (*.f64 eps eps)) (+.f64 (log.f64 (/.f64 -1 eps)) (+.f64 eps (/.f64 1 eps)))) |
(-.f64 (/.f64 -1/2 (*.f64 eps eps)) (+.f64 (log.f64 (/.f64 -1 eps)) (-.f64 eps (/.f64 -1 eps)))) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.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)) |
| 0.2b | (*.f64 -2/3 (pow.f64 eps 3)) |
Compiled 52 to 41 computations (21.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (*.f64 -2/5 (pow.f64 eps 5)) |
| 1.0ms | eps | @ | inf | (*.f64 -2/5 (pow.f64 eps 5)) |
| 1.0ms | eps | @ | -inf | (*.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))) |
| 0.0ms | eps | @ | 0 | (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.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 |
| 284× | pow-prod-down_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 21 |
| 1 | 247 | 21 |
| 2 | 2873 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.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 -2/5 (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 expm1.f64 (log1p.f64 (*.f64 -2/5 (pow.f64 eps 5))))))) (#(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 -.f64 (exp.f64 (log1p.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))) 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 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (cbrt.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))) (pow.f64 (cbrt.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))) 2) (cbrt.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))) (sqrt.f64 (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 (pow.f64 eps 15) -8/125 (*.f64 (pow.f64 eps 9) -8/27)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 eps 10) 4/25 (*.f64 (pow.f64 eps 6) 4/9)) (*.f64 -2/5 (*.f64 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 eps 10) 4/25) (*.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 (-.f64 (fma.f64 (pow.f64 eps 10) 4/25 (*.f64 (pow.f64 eps 6) 4/9)) (*.f64 -2/5 (*.f64 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))) (fma.f64 (pow.f64 eps 15) -8/125 (*.f64 (pow.f64 eps 9) -8/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 2/3 (pow.f64 eps 3))) (-.f64 (*.f64 (pow.f64 eps 10) 4/25) (*.f64 (pow.f64 eps 6) 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 eps 15) -8/125 (*.f64 (pow.f64 eps 9) -8/27)) (-.f64 (fma.f64 (pow.f64 eps 10) 4/25 (*.f64 (pow.f64 eps 6) 4/9)) (*.f64 -2/5 (*.f64 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 eps 15) -8/125 (*.f64 (pow.f64 eps 9) -8/27)) (fma.f64 (pow.f64 eps 6) 4/9 (-.f64 (*.f64 (pow.f64 eps 10) 4/25) (*.f64 -2/5 (*.f64 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 eps 10) 4/25) (*.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 (neg.f64 (fma.f64 (pow.f64 eps 15) -8/125 (*.f64 (pow.f64 eps 9) -8/27))) (neg.f64 (-.f64 (fma.f64 (pow.f64 eps 10) 4/25 (*.f64 (pow.f64 eps 6) 4/9)) (*.f64 -2/5 (*.f64 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 eps 10) 4/25) (*.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 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 eps 10) 4/25 (*.f64 (pow.f64 eps 6) 4/9)) (*.f64 -2/5 (*.f64 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))) (fma.f64 (pow.f64 eps 15) -8/125 (*.f64 (pow.f64 eps 9) -8/27))) -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))) (-.f64 (*.f64 (pow.f64 eps 10) 4/25) (*.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 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))) 2)) (cbrt.f64 (log.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))))) (sqrt.f64 (log.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.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)))) (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 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 cbrt.f64 (pow.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))) 1) 1))))) (#(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 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 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 -2/3 (pow.f64 eps 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 1 (*.f64 -2/5 (pow.f64 eps 5)) (*.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 (*.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 (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 eps (cbrt.f64 -2/3)) (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 2) (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 2) (*.f64 eps (cbrt.f64 -2/3)) (*.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 (*.f64 eps (cbrt.f64 -2/3)) 3/2) (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3/2) (*.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 (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 (*.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 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))))))) |
| 1× | egg-herbie |
| 1204× | sqr-pow_binary64 |
| 708× | cube-prod_binary64 |
| 678× | fabs-mul_binary64 |
| 660× | pow-sqr_binary64 |
| 416× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 24 | 21 |
| 2 | 50 | 21 |
| 3 | 98 | 21 |
| 4 | 213 | 21 |
| 5 | 643 | 21 |
| 6 | 932 | 21 |
| 7 | 1568 | 21 |
| 8 | 1676 | 21 |
| 9 | 1838 | 21 |
| 10 | 2051 | 21 |
| 11 | 2381 | 21 |
| 12 | 2837 | 21 |
| 13 | 3436 | 21 |
| 14 | 4190 | 21 |
| 15 | 5122 | 21 |
| 16 | 5630 | 21 |
| 17 | 6120 | 21 |
| 18 | 6516 | 21 |
| 19 | 6838 | 21 |
| 20 | 6998 | 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 3566 to 2713 computations (23.9% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 210 | 1 | 211 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 210 | 7 | 217 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.5b | (+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
| ▶ | 52.0b | (neg.f64 eps) |
| ✓ | 0.0b | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| ✓ | 0.4b | (+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))) |
| ✓ | 58.6b | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| ✓ | 1.3b | (-.f64 (log1p.f64 (neg.f64 eps)) eps) |
| ✓ | 0.9b | (*.f64 -2 eps) |
Compiled 55 to 42 computations (23.6% saved)
Compiled 4 to 2 computations (50% saved)
Compiled 1 to 1 computations (0% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 0 | 7 | 7 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.5b | (+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
| ✓ | 52.0b | (neg.f64 eps) |
| ✓ | 0.0b | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| ✓ | 0.4b | (+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))) |
| ✓ | 58.6b | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| ✓ | 1.3b | (-.f64 (log1p.f64 (neg.f64 eps)) eps) |
| ✓ | 0.9b | (*.f64 -2 eps) |
Compiled 55 to 42 computations (23.6% saved)
| Inputs |
|---|
(neg.f64 eps) |
(*.f64 -2 eps) |
(-.f64 (log1p.f64 (neg.f64 eps)) eps) |
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))) |
| Outputs |
|---|
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
3 calls:
| 10.0ms | eps |
| 4.0ms | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 4.0ms | (/.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 68 to 47 computations (30.9% saved)
| Inputs |
|---|
(neg.f64 eps) |
(*.f64 -2 eps) |
(-.f64 (log1p.f64 (neg.f64 eps)) eps) |
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
| Outputs |
|---|
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
3 calls:
| 10.0ms | eps |
| 4.0ms | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 4.0ms | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 1 | eps |
| 0.5b | 1 | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 0.5b | 1 | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
Compiled 47 to 33 computations (29.8% saved)
Total -59.2b remaining (-6654.3%)
Threshold costs -59.2b (-6654.3%)
| Inputs |
|---|
(neg.f64 eps) |
(*.f64 -2 eps) |
(-.f64 (log1p.f64 (neg.f64 eps)) eps) |
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| Outputs |
|---|
(*.f64 -2 eps) |
3 calls:
| 8.0ms | eps |
| 4.0ms | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 4.0ms | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
| Error | Segments | Branch |
|---|---|---|
| 0.9b | 1 | eps |
| 0.9b | 1 | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 0.9b | 1 | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
Compiled 38 to 26 computations (31.6% saved)
| 1× | egg-herbie |
| 4× | +-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 | 22 | 30 |
| 2 | 27 | 30 |
| 3 | 30 | 30 |
| 4 | 31 | 30 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(*.f64 -2 eps) |
(neg.f64 eps) |
| Outputs |
|---|
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(+.f64 (*.f64 eps -2) (*.f64 -2/3 (pow.f64 eps 3))) |
(*.f64 -2 eps) |
(*.f64 eps -2) |
(neg.f64 eps) |
Compiled 24 to 18 computations (25% saved)
| 1× | egg-herbie |
| 1088× | fma-neg_binary64 |
| 890× | fma-def_binary64 |
| 719× | distribute-rgt-in_binary64 |
| 491× | distribute-lft-in_binary64 |
| 331× | 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 | 159 | 10 |
| 7 | 292 | 10 |
| 8 | 604 | 10 |
| 9 | 1037 | 10 |
| 10 | 1444 | 10 |
| 11 | 2002 | 10 |
| 12 | 2740 | 10 |
| 13 | 3835 | 10 |
| 14 | 4670 | 10 |
| 15 | 4768 | 10 |
| 16 | 4800 | 10 |
| 17 | 4800 | 10 |
| 18 | 6393 | 10 |
| 19 | 6748 | 10 |
| 20 | 6826 | 10 |
| 21 | 6834 | 10 |
| 22 | 6842 | 10 |
| 23 | 6842 | 10 |
| 24 | 7042 | 10 |
| 1× | node limit |
Compiled 43 to 33 computations (23.3% saved)
Compiled 21 to 14 computations (33.3% saved)
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