Time bar (total: 7.1s)
| 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)
| 3.1s | 4202× | body | 1024 | valid |
| 885.0ms | 2058× | body | 512 | valid |
| 371.0ms | 437× | body | 2048 | valid |
| 243.0ms | 1559× | body | 256 | valid |
| 1.0ms | 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 |
|---|---|---|
| ▶ | 58.8b | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| ▶ | 0.0b | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
Compiled 16 to 12 computations (25% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
| ✓ | 6.4b | (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 | 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 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 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 | 1865 | 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 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 |
| 699× | fma-def_binary64 |
| 530× | associate-/l*_binary64 |
| 426× | distribute-neg-frac_binary64 |
| 399× | fma-neg_binary64 |
| 319× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 180 |
| 1 | 122 | 177 |
| 2 | 298 | 174 |
| 3 | 807 | 174 |
| 4 | 2170 | 174 |
| 5 | 5425 | 174 |
| 6 | 7993 | 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 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) |
(*.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 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2 eps))) |
(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))))) |
(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 (+.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 2/3 (/.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 (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)))) |
(+.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 (/.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 (/.f64 -2 eps) (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) (log.f64 -1)) (/.f64 -2/3 (pow.f64 eps 3))) (/.f64 -2/5 (pow.f64 eps 5))) |
(+.f64 (/.f64 -2/3 (pow.f64 eps 3)) (-.f64 (-.f64 (/.f64 -2 eps) (log.f64 -1)) (/.f64 2/5 (pow.f64 eps 5)))) |
Compiled 1882 to 1147 computations (39.1% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 146 | 3 | 149 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 146 | 5 | 151 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.2b | (+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
| ✓ | 58.8b | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| ▶ | 0.2b | (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2)) |
| ▶ | 0.5b | (*.f64 -2 eps) |
| ✓ | 0.0b | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
Compiled 39 to 29 computations (25.6% saved)
Compiled 6 to 4 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2)) |
| ✓ | 0.4b | (*.f64 eps -2/3) |
Compiled 21 to 14 computations (33.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | eps | @ | 0 | (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2)) |
| 1.0ms | eps | @ | -inf | (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2)) |
| 1.0ms | eps | @ | inf | (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2)) |
| 1.0ms | eps | @ | 0 | (*.f64 eps -2/3) |
| 1.0ms | eps | @ | -inf | (*.f64 eps -2/3) |
| 1× | batch-egg-rewrite |
| 641× | pow1_binary64 |
| 596× | add-log-exp_binary64 |
| 596× | log1p-expm1-u_binary64 |
| 596× | expm1-log1p-u_binary64 |
| 585× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 142 | 15 |
| 2 | 1594 | 15 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 eps -2/3) |
(*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps -2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps -2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps -2/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps -2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps -2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4/9 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 eps -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps -2/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps -2/3))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (*.f64 eps (*.f64 eps -2/3))) (*.f64 eps -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 eps (*.f64 eps -2/3) -2)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2)))))))) |
| 1× | egg-herbie |
| 1274× | sqr-pow_binary64 |
| 666× | pow-sqr_binary64 |
| 529× | cube-prod_binary64 |
| 469× | fabs-mul_binary64 |
| 443× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 165 |
| 1 | 23 | 165 |
| 2 | 41 | 165 |
| 3 | 82 | 165 |
| 4 | 150 | 165 |
| 5 | 374 | 165 |
| 6 | 1237 | 165 |
| 7 | 1944 | 165 |
| 8 | 2031 | 165 |
| 9 | 2164 | 165 |
| 10 | 2322 | 165 |
| 11 | 2562 | 165 |
| 12 | 2884 | 165 |
| 13 | 3305 | 165 |
| 14 | 3807 | 165 |
| 15 | 4409 | 165 |
| 16 | 5129 | 165 |
| 17 | 5448 | 165 |
| 18 | 5730 | 165 |
| 19 | 5952 | 165 |
| 20 | 6132 | 165 |
| 21 | 6214 | 165 |
| 22 | 7154 | 165 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2/3 eps) |
(*.f64 -2/3 eps) |
(*.f64 -2/3 eps) |
(*.f64 -2/3 eps) |
(*.f64 -2/3 eps) |
(*.f64 -2/3 eps) |
(*.f64 -2/3 eps) |
(*.f64 -2/3 eps) |
(*.f64 -2/3 eps) |
(*.f64 -2/3 eps) |
(*.f64 -2/3 eps) |
(*.f64 -2/3 eps) |
(*.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 -2/3 eps) |
(*.f64 -2/3 eps) |
(*.f64 -2/3 eps) |
(*.f64 -2/3 eps) |
(*.f64 -2/3 eps) |
(*.f64 -2/3 eps) |
(*.f64 -2/3 eps) |
(*.f64 -2/3 eps) |
(*.f64 -2/3 eps) |
(*.f64 -2/3 eps) |
(*.f64 -2/3 eps) |
(*.f64 -2/3 eps) |
(*.f64 -2 eps) |
(*.f64 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 eps -2)) |
(*.f64 eps (fma.f64 eps (*.f64 -2/3 eps) -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 eps -2)) |
(*.f64 eps (fma.f64 eps (*.f64 -2/3 eps) -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 eps -2)) |
(*.f64 eps (fma.f64 eps (*.f64 -2/3 eps) -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 eps -2)) |
(*.f64 eps (fma.f64 eps (*.f64 -2/3 eps) -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 eps -2)) |
(*.f64 eps (fma.f64 eps (*.f64 -2/3 eps) -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 eps -2)) |
(*.f64 eps (fma.f64 eps (*.f64 -2/3 eps) -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 eps -2)) |
(*.f64 eps (fma.f64 eps (*.f64 -2/3 eps) -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 eps -2)) |
(*.f64 eps (fma.f64 eps (*.f64 -2/3 eps) -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 eps -2)) |
(*.f64 eps (fma.f64 eps (*.f64 -2/3 eps) -2)) |
(*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 -2/3 (pow.f64 eps 3)) |
Compiled 25 to 19 computations (24% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | eps | @ | 0 | (*.f64 -2/3 (pow.f64 eps 3)) |
| 1.0ms | eps | @ | inf | (*.f64 -2/3 (pow.f64 eps 3)) |
| 1.0ms | eps | @ | -inf | (*.f64 -2/3 (pow.f64 eps 3)) |
| 1× | batch-egg-rewrite |
| 505× | pow1_binary64 |
| 498× | add-sqr-sqrt_binary64 |
| 476× | add-log-exp_binary64 |
| 476× | log1p-expm1-u_binary64 |
| 476× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 129 | 7 |
| 2 | 1324 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.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 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3) 1/3)))) (#(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 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 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 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 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)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Compiled 420 to 311 computations (26% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 40 | 1 | 41 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 3 | 4 |
| Total | 42 | 4 | 46 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.2b | (+.f64 (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) (*.f64 -2 eps)) |
| ✓ | 58.8b | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| ✓ | 0.5b | (*.f64 -2 eps) |
| ✓ | 0.0b | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
Compiled 32 to 23 computations (28.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) |
| ✓ | 0.1b | (*.f64 eps (*.f64 eps -2/3)) |
| 0.4b | (*.f64 eps -2/3) |
Compiled 33 to 21 computations (36.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (*.f64 eps (*.f64 eps -2/3)) |
| 0.0ms | eps | @ | inf | (*.f64 eps (*.f64 eps -2/3)) |
| 0.0ms | eps | @ | -inf | (*.f64 eps (*.f64 eps -2/3)) |
| 0.0ms | eps | @ | -inf | (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) |
| 0.0ms | eps | @ | 0 | (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) |
| 1× | batch-egg-rewrite |
| 548× | pow1_binary64 |
| 527× | add-sqr-sqrt_binary64 |
| 506× | add-log-exp_binary64 |
| 506× | log1p-expm1-u_binary64 |
| 506× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 1 | 122 | 14 |
| 2 | 1402 | 14 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 eps (*.f64 eps -2/3)) |
(*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (*.f64 eps -2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (*.f64 eps -2/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (*.f64 eps -2/3))) 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 (pow.f64 (*.f64 eps (*.f64 eps -2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (*.f64 eps -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (*.f64 eps -2/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (*.f64 eps -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (*.f64 eps -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (*.f64 eps -2/3)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 eps 3) -2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 eps 3) -2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 eps 3) -2/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 3) -2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 eps 3) -2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 eps 3) -2/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 eps 3) -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps 3) -2/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps 3) -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps 3) -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 eps 3) -2/3))))))) |
| 1× | egg-herbie |
| 1208× | sqr-pow_binary64 |
| 564× | cube-prod_binary64 |
| 537× | fabs-mul_binary64 |
| 536× | unswap-sqr_binary64 |
| 502× | pow-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 168 |
| 1 | 23 | 168 |
| 2 | 48 | 168 |
| 3 | 105 | 168 |
| 4 | 296 | 168 |
| 5 | 1235 | 168 |
| 6 | 2405 | 168 |
| 7 | 2571 | 168 |
| 8 | 2821 | 168 |
| 9 | 3108 | 168 |
| 10 | 3487 | 168 |
| 11 | 3993 | 168 |
| 12 | 4591 | 168 |
| 13 | 5301 | 168 |
| 14 | 5768 | 168 |
| 15 | 6093 | 168 |
| 16 | 6367 | 168 |
| 17 | 6537 | 168 |
| 18 | 6631 | 168 |
| 19 | 7308 | 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)) |
Compiled 472 to 348 computations (26.3% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 36 | 1 | 37 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 36 | 5 | 41 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.2b | (+.f64 (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) (*.f64 -2 eps)) |
| ✓ | 58.8b | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| ▶ | 0.2b | (+.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1) eps) (*.f64 -2 eps)) |
| ✓ | 0.5b | (*.f64 -2 eps) |
| ✓ | 0.0b | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
Compiled 48 to 35 computations (27.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1) eps) |
| 0.1b | (*.f64 eps (*.f64 eps -2/3)) | |
| 0.4b | (*.f64 eps -2/3) | |
| ✓ | 2.4b | (-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1) |
Compiled 58 to 42 computations (27.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | (-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1) |
| 0.0ms | eps | @ | 0 | (-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1) |
| 0.0ms | eps | @ | -inf | (*.f64 (-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1) eps) |
| 0.0ms | eps | @ | inf | (*.f64 (-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1) eps) |
| 0.0ms | eps | @ | 0 | (*.f64 (-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1) eps) |
| 1× | batch-egg-rewrite |
| 942× | pow1_binary64 |
| 881× | add-log-exp_binary64 |
| 881× | log1p-expm1-u_binary64 |
| 881× | expm1-log1p-u_binary64 |
| 99× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 1 | 197 | 17 |
| 2 | 2697 | 17 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1) |
(*.f64 (-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1) eps) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 eps (*.f64 eps -2/3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 eps (*.f64 eps -2/3) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2/3 (*.f64 eps eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 eps (*.f64 eps -2/3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 eps (*.f64 eps -2/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 eps (*.f64 eps -2/3) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2/3 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (*.f64 eps -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/3 (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps -2/3) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2/3 (*.f64 eps eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps eps) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 eps eps) 4/9)) (*.f64 (cbrt.f64 (*.f64 eps -2/3)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2/3 (*.f64 eps eps))) (pow.f64 (cbrt.f64 (*.f64 -2/3 (*.f64 eps eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -2/3 (*.f64 eps eps))) 2) (cbrt.f64 (*.f64 -2/3 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (*.f64 eps -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 eps -2/3)) (*.f64 (sqrt.f64 (*.f64 eps -2/3)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (sqrt.f64 -2/3)) (*.f64 eps (sqrt.f64 -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (*.f64 eps -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 2) (+.f64 (*.f64 -2/3 (*.f64 eps eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 -2/3 (*.f64 eps eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (*.f64 eps (sqrt.f64 -2/3))) 1) (-.f64 (hypot.f64 1 (*.f64 eps (sqrt.f64 -2/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (cbrt.f64 (*.f64 (*.f64 eps eps) 4/9))) (cbrt.f64 (*.f64 eps -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (sqrt.f64 (*.f64 eps -2/3))) (sqrt.f64 (*.f64 eps -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 eps -2/3) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 eps -2/3) (sqrt.f64 eps)) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 2) (+.f64 (*.f64 -2/3 (*.f64 eps eps)) 2)) (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 -2/3 (*.f64 eps eps)) 2) (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 2) (+.f64 (*.f64 -2/3 (*.f64 eps eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 2) (-.f64 1 (*.f64 (fma.f64 eps (*.f64 eps -2/3) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 2) -1) (+.f64 (*.f64 -2/3 (*.f64 eps eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 2) -1) (-.f64 (fma.f64 eps (*.f64 eps -2/3) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 2) (+.f64 (*.f64 -2/3 (*.f64 eps eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 -2/3 (*.f64 eps eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 eps (*.f64 eps -2/3) -1) (fma.f64 eps (*.f64 eps -2/3) -1)) (fma.f64 eps (*.f64 eps -2/3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 eps (*.f64 eps -2/3) -1) (fma.f64 eps (*.f64 eps -2/3) -1))) (-.f64 1 (fma.f64 eps (*.f64 eps -2/3) -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 (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 pow.f64 (*.f64 (pow.f64 (*.f64 eps eps) 3) -8/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -2/3 (*.f64 eps eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -2/3 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2/3 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 eps eps) 3) -8/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2/3 (*.f64 eps eps))))))) (#(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 fma.f64 1 (fma.f64 eps (*.f64 eps -2/3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (*.f64 eps -2/3) 1)) 2) (cbrt.f64 (fma.f64 eps (*.f64 eps -2/3) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 eps (sqrt.f64 -2/3))) (hypot.f64 1 (*.f64 eps (sqrt.f64 -2/3))) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (*.f64 (fma.f64 eps (*.f64 eps -2/3) -1) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 eps (*.f64 eps -2/3) 1) eps) (*.f64 -1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (fma.f64 eps (*.f64 eps -2/3) 1)) (*.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 -2/3 (*.f64 eps eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 3) -1) eps) (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 2) (+.f64 (*.f64 -2/3 (*.f64 eps eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 2) -1) eps) (+.f64 (*.f64 -2/3 (*.f64 eps eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 3) -1)) (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 2) (+.f64 (*.f64 -2/3 (*.f64 eps eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (+.f64 (pow.f64 (fma.f64 eps (*.f64 eps -2/3) 1) 2) -1)) (+.f64 (*.f64 -2/3 (*.f64 eps eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (*.f64 -2/3 (*.f64 eps eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (*.f64 -2/3 (*.f64 eps eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (*.f64 -2/3 (*.f64 eps eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 eps (sqrt.f64 -2/3)) (sqrt.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (*.f64 -2/3 (*.f64 eps eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 -2/3 (*.f64 eps eps))) eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 -2/3 (*.f64 eps eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (*.f64 -2/3 (*.f64 eps eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 (*.f64 eps eps) 3) -8/27)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 eps eps) 3) -8/27) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (*.f64 -2/3 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (*.f64 -2/3 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (*.f64 -2/3 (*.f64 eps eps))))))))) |
| 1× | egg-herbie |
| 1208× | sqr-pow_binary64 |
| 564× | cube-prod_binary64 |
| 537× | fabs-mul_binary64 |
| 536× | unswap-sqr_binary64 |
| 502× | pow-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 168 |
| 1 | 23 | 168 |
| 2 | 48 | 168 |
| 3 | 105 | 168 |
| 4 | 296 | 168 |
| 5 | 1235 | 168 |
| 6 | 2405 | 168 |
| 7 | 2571 | 168 |
| 8 | 2821 | 168 |
| 9 | 3108 | 168 |
| 10 | 3487 | 168 |
| 11 | 3993 | 168 |
| 12 | 4591 | 168 |
| 13 | 5301 | 168 |
| 14 | 5768 | 168 |
| 15 | 6093 | 168 |
| 16 | 6367 | 168 |
| 17 | 6537 | 168 |
| 18 | 6631 | 168 |
| 19 | 7308 | 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)) |
Compiled 1774 to 1258 computations (29.1% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 99 | 0 | 99 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 99 | 5 | 104 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.2b | (+.f64 (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) (*.f64 -2 eps)) |
| ✓ | 58.8b | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| ✓ | 0.2b | (+.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1) eps) (*.f64 -2 eps)) |
| ✓ | 0.5b | (*.f64 -2 eps) |
| ✓ | 0.0b | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
Compiled 48 to 35 computations (27.1% saved)
| Inputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) (*.f64 -2 eps)) |
(+.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1) eps) (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2)) |
(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)) |
| Outputs |
|---|
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
3 calls:
| 5.0ms | eps |
| 2.0ms | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
| 2.0ms | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 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 80 to 57 computations (28.8% saved)
Total -58.9b remaining (-37457.7%)
Threshold costs -58.9b (-37457.7%)
| Inputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) (*.f64 -2 eps)) |
(+.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 eps (*.f64 eps -2/3))) 1) eps) (*.f64 -2 eps)) |
(*.f64 eps (fma.f64 eps (*.f64 eps -2/3) -2)) |
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) (*.f64 -2 eps)) |
3 calls:
| 7.0ms | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 5.0ms | eps |
| 2.0ms | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | eps |
| 0.2b | 1 | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 0.2b | 1 | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
Compiled 74 to 53 computations (28.4% saved)
| 1× | egg-herbie |
| 6× | *-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 | 24 | 30 |
| 2 | 29 | 30 |
| 3 | 32 | 30 |
| 4 | 33 | 30 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(+.f64 (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) (*.f64 -2 eps)) |
(*.f64 -2 eps) |
| Outputs |
|---|
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(+.f64 (*.f64 (*.f64 eps (*.f64 eps -2/3)) eps) (*.f64 -2 eps)) |
(+.f64 (*.f64 eps (*.f64 eps (*.f64 eps -2/3))) (*.f64 eps -2)) |
(*.f64 -2 eps) |
(*.f64 eps -2) |
Compiled 23 to 16 computations (30.4% 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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