Time bar (total: 4.9s)
| 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)
| 2.4s | 4250× | body | 1024 | valid |
| 537.0ms | 2004× | body | 512 | valid |
| 282.0ms | 397× | body | 2048 | valid |
| 207.0ms | 1605× | 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)) |
| ▶ | 58.8b | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 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)) |
| ✓ | 7.2b | (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 | @ | inf | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 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))) |
| 0.0ms | eps | @ | inf | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
| 0.0ms | eps | @ | -inf | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
Compiled 1380 to 1180 computations (14.5% saved)
| 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 |
| 741× | fma-def_binary64 |
| 369× | distribute-rgt-in_binary64 |
| 360× | distribute-lft-in_binary64 |
| 345× | unswap-sqr_binary64 |
| 281× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 204 | 1087 |
| 1 | 554 | 1021 |
| 2 | 1871 | 1012 |
| 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))))) |
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 (*.f64 2 (/.f64 1 eps)) (*.f64 -2 (pow.f64 (/.f64 1 eps) 2))) 1) |
(-.f64 (+.f64 (*.f64 2 (pow.f64 (/.f64 1 eps) 3)) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 -2 (pow.f64 (/.f64 1 eps) 2)))) 1) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 eps)) 1) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 -2 (pow.f64 (/.f64 -1 eps) 2))) 1) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 (*.f64 -2 (pow.f64 (/.f64 -1 eps) 3)) (*.f64 -2 (pow.f64 (/.f64 -1 eps) 2)))) 1) |
(+.f64 0 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) |
(+.f64 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps))) |
(+.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) (log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))) |
(+.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))))) |
(-.f64 0 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(-.f64 (+.f64 1 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1) |
(-.f64 (log.f64 (neg.f64 (-.f64 1 eps))) (log.f64 (+.f64 (neg.f64 eps) -1))) |
(*.f64 1 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) |
(*.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1) |
(*.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)) |
(*.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)))) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) |
(/.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))))) |
(/.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))) |
(pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3) 1/3) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 3) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2) |
(neg.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2)) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) |
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) |
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) |
(+.f64 (/.f64 1 (+.f64 1 eps)) (neg.f64 (/.f64 eps (+.f64 1 eps)))) |
(-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))) |
(-.f64 (+.f64 1 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 1) |
(*.f64 1 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
(*.f64 (-.f64 1 eps) (/.f64 1 (+.f64 1 eps))) |
(*.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 1) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2) (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (*.f64 (cbrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) |
(*.f64 (sqrt.f64 (-.f64 1 eps)) (*.f64 (sqrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))) |
(*.f64 (neg.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 (neg.f64 eps) -1))) |
(*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 eps)) (+.f64 1 eps))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) 1) (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (/.f64 (-.f64 1 eps) (cbrt.f64 (+.f64 1 eps)))) |
(*.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)))) |
(*.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)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 eps))) (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps)))) |
(*.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)))) |
(*.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) |
(*.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (-.f64 (*.f64 eps eps) eps))) |
(pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 1) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2) |
(pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -1) |
(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)))) |
(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)))) |
(neg.f64 (/.f64 (-.f64 1 eps) (+.f64 (neg.f64 eps) -1))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (+.f64 1 eps) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) |
| Outputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))) |
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))) |
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))) |
(fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2 eps))) |
(+.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))))) |
1 |
(+.f64 (*.f64 -2 eps) 1) |
(fma.f64 -2 eps 1) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1)) |
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) 1)) |
(fma.f64 2 (*.f64 eps eps) (fma.f64 -2 eps 1)) |
(+.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))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 eps)) 1) |
(+.f64 (/.f64 2 eps) -1) |
(+.f64 -1 (/.f64 2 eps)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 -2 (pow.f64 (/.f64 1 eps) 2))) 1) |
(+.f64 (/.f64 2 eps) (-.f64 (*.f64 -2 (pow.f64 (/.f64 1 eps) 2)) 1)) |
(+.f64 -1 (fma.f64 -2 (pow.f64 (/.f64 1 eps) 2) (/.f64 2 eps))) |
(+.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 (/.f64 -2 eps) eps))) |
(-.f64 (+.f64 (*.f64 2 (pow.f64 (/.f64 1 eps) 3)) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 -2 (pow.f64 (/.f64 1 eps) 2)))) 1) |
(+.f64 (fma.f64 2 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (*.f64 -2 (pow.f64 (/.f64 1 eps) 2)))) -1) |
(+.f64 (fma.f64 -2 (pow.f64 (/.f64 1 eps) 2) (/.f64 2 eps)) (-.f64 (/.f64 2 (pow.f64 eps 3)) 1)) |
(+.f64 (+.f64 -1 (/.f64 2 eps)) (+.f64 (/.f64 (/.f64 -2 eps) eps) (/.f64 2 (pow.f64 eps 3)))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 eps)) 1) |
(+.f64 (/.f64 2 eps) -1) |
(+.f64 -1 (/.f64 2 eps)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 -2 (pow.f64 (/.f64 -1 eps) 2))) 1) |
(+.f64 (/.f64 2 eps) (-.f64 (*.f64 -2 (pow.f64 (/.f64 1 eps) 2)) 1)) |
(+.f64 -1 (fma.f64 -2 (pow.f64 (/.f64 1 eps) 2) (/.f64 2 eps))) |
(+.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 (/.f64 -2 eps) eps))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 (*.f64 -2 (pow.f64 (/.f64 -1 eps) 3)) (*.f64 -2 (pow.f64 (/.f64 -1 eps) 2)))) 1) |
(+.f64 (fma.f64 2 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (*.f64 -2 (pow.f64 (/.f64 1 eps) 2)))) -1) |
(+.f64 (fma.f64 -2 (pow.f64 (/.f64 1 eps) 2) (/.f64 2 eps)) (-.f64 (/.f64 2 (pow.f64 eps 3)) 1)) |
(+.f64 (+.f64 -1 (/.f64 2 eps)) (+.f64 (/.f64 (/.f64 -2 eps) eps) (/.f64 2 (pow.f64 eps 3)))) |
(+.f64 0 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(+.f64 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(+.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) (log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))) |
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1))))) |
(+.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))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1))) 2)) (log.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1))))) |
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1))))) |
(-.f64 0 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(-.f64 (+.f64 1 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(-.f64 (log.f64 (neg.f64 (-.f64 1 eps))) (log.f64 (+.f64 (neg.f64 eps) -1))) |
(-.f64 (log.f64 (neg.f64 (-.f64 1 eps))) (log.f64 (+.f64 -1 (neg.f64 eps)))) |
(-.f64 (log.f64 (+.f64 -1 eps)) (log.f64 (-.f64 -1 eps))) |
(-.f64 (log.f64 (-.f64 eps 1)) (log.f64 (-.f64 -1 eps))) |
(*.f64 1 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(*.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(*.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)) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(*.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)))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(/.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))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps)) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 (log1p.f64 eps) (log1p.f64 eps) (*.f64 (log1p.f64 (neg.f64 eps)) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) |
(/.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))) |
(/.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) |
(pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3) 1/3) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 3) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(neg.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2)) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3)) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) |
(+.f64 (/.f64 1 (+.f64 1 eps)) (neg.f64 (/.f64 eps (+.f64 1 eps)))) |
(/.f64 (-.f64 1 eps) (+.f64 eps 1)) |
(-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))) |
(/.f64 (-.f64 1 eps) (+.f64 eps 1)) |
(-.f64 (+.f64 1 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 1) |
(/.f64 (-.f64 1 eps) (+.f64 eps 1)) |
(*.f64 1 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
(/.f64 (-.f64 1 eps) (+.f64 eps 1)) |
(*.f64 (-.f64 1 eps) (/.f64 1 (+.f64 1 eps))) |
(/.f64 (-.f64 1 eps) (+.f64 eps 1)) |
(*.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 1) |
(/.f64 (-.f64 1 eps) (+.f64 eps 1)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2)) |
(/.f64 (-.f64 1 eps) (+.f64 eps 1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2) (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) |
(/.f64 (-.f64 1 eps) (+.f64 eps 1)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (*.f64 (cbrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))) |
(/.f64 (-.f64 1 eps) (+.f64 eps 1)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) |
(/.f64 (-.f64 1 eps) (+.f64 eps 1)) |
(*.f64 (sqrt.f64 (-.f64 1 eps)) (*.f64 (sqrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))) |
(/.f64 (-.f64 1 eps) (+.f64 eps 1)) |
(*.f64 (neg.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 (neg.f64 eps) -1))) |
(*.f64 (neg.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 -1 (neg.f64 eps)))) |
(/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) |
(/.f64 (-.f64 eps 1) (-.f64 -1 eps)) |
(*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)) |
(/.f64 (-.f64 1 eps) (+.f64 eps 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 eps)) (+.f64 1 eps))) |
(/.f64 (-.f64 1 eps) (+.f64 eps 1)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) 1) (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps))) |
(/.f64 (-.f64 1 eps) (+.f64 eps 1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (/.f64 (-.f64 1 eps) (cbrt.f64 (+.f64 1 eps)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (/.f64 (-.f64 1 eps) (cbrt.f64 (+.f64 eps 1)))) |
(/.f64 (/.f64 (-.f64 1 eps) (cbrt.f64 (+.f64 eps 1))) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) |
(/.f64 (-.f64 1 eps) (*.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (cbrt.f64 (+.f64 eps 1)))) |
(*.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)))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1))) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) |
(*.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)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (/.f64 (-.f64 1 eps) (cbrt.f64 (+.f64 eps 1)))) |
(/.f64 (/.f64 (-.f64 1 eps) (cbrt.f64 (+.f64 eps 1))) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) |
(/.f64 (-.f64 1 eps) (*.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (cbrt.f64 (+.f64 eps 1)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 eps))) (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 eps 1))) (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 eps 1)))) |
(/.f64 (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 eps 1))) (sqrt.f64 (+.f64 eps 1))) |
(/.f64 (-.f64 1 eps) (*.f64 (hypot.f64 1 (sqrt.f64 eps)) (hypot.f64 1 (sqrt.f64 eps)))) |
(*.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)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 eps 1))) (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 eps 1)))) |
(/.f64 (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 eps 1))) (sqrt.f64 (+.f64 eps 1))) |
(/.f64 (-.f64 1 eps) (*.f64 (hypot.f64 1 (sqrt.f64 eps)) (hypot.f64 1 (sqrt.f64 eps)))) |
(*.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps)) |
(*.f64 (-.f64 1 eps) (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps)))) |
(/.f64 (-.f64 1 eps) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 eps))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 6) (-.f64 1 (*.f64 eps eps))) |
(*.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (-.f64 (*.f64 eps eps) eps))) |
(*.f64 (/.f64 (-.f64 1 eps) (+.f64 (pow.f64 eps 3) 1)) (+.f64 1 (-.f64 (*.f64 eps eps) eps))) |
(/.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (*.f64 eps (+.f64 eps -1)))) (+.f64 (pow.f64 eps 3) 1)) |
(/.f64 (-.f64 1 eps) (/.f64 (+.f64 (pow.f64 eps 3) 1) (-.f64 (fma.f64 eps eps 1) eps))) |
(pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 1) |
(/.f64 (-.f64 1 eps) (+.f64 eps 1)) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3) 1/3) |
(/.f64 (-.f64 1 eps) (+.f64 eps 1)) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3) |
(/.f64 (-.f64 1 eps) (+.f64 eps 1)) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2) |
(/.f64 (-.f64 1 eps) (+.f64 eps 1)) |
(pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -1) |
(/.f64 (-.f64 1 eps) (+.f64 eps 1)) |
(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)))) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) |
(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)))) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) |
(neg.f64 (/.f64 (-.f64 1 eps) (+.f64 (neg.f64 eps) -1))) |
(*.f64 (neg.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 -1 (neg.f64 eps)))) |
(/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) |
(/.f64 (-.f64 eps 1) (-.f64 -1 eps)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 2)) |
(/.f64 (-.f64 1 eps) (+.f64 eps 1)) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) |
(/.f64 (-.f64 1 eps) (+.f64 eps 1)) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3)) |
(/.f64 (-.f64 1 eps) (+.f64 eps 1)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (+.f64 1 eps) 3))) |
(/.f64 (-.f64 1 eps) (+.f64 eps 1)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) |
(/.f64 (-.f64 1 eps) (+.f64 eps 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) |
(/.f64 (-.f64 1 eps) (+.f64 eps 1)) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log1p.f64 eps) |
Compiled 15 to 5 computations (66.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (log1p.f64 eps) |
| 0.0ms | eps | @ | -inf | (log1p.f64 eps) |
| 0.0ms | eps | @ | inf | (log1p.f64 eps) |
Compiled 870 to 720 computations (17.2% saved)
| 1× | batch-egg-rewrite |
| 383× | expm1-udef_binary64 |
| 383× | log1p-udef_binary64 |
| 255× | associate-*r*_binary64 |
| 250× | pow1_binary64 |
| 241× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 3 |
| 1 | 57 | 3 |
| 2 | 641 | 3 |
| 3 | 6926 | 3 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 eps) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 eps) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (log.f64 (cbrt.f64 (+.f64 eps 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 eps 1))) (log.f64 (sqrt.f64 (+.f64 eps 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 eps 3)) (log1p.f64 (-.f64 (*.f64 eps eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 eps) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (*.f64 eps eps))) (log.f64 (-.f64 1 eps)))))) (#(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 *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 eps))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 eps) 1/6) (*.f64 (pow.f64 (log1p.f64 eps) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 eps))) 2) (cbrt.f64 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 eps) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 eps) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 eps) 1/4) (*.f64 (pow.f64 (log1p.f64 eps) 1/4) (sqrt.f64 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 eps)) (pow.f64 (log1p.f64 eps) 1/4)) (pow.f64 (log1p.f64 eps) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 eps) 5/2)) (pow.f64 (log1p.f64 eps) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 4) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 5)) (pow.f64 (log1p.f64 eps) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (log1p.f64 eps) 3/2)) (pow.f64 (log1p.f64 eps) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log1p.f64 eps) 5/2) 1/3) (pow.f64 (log1p.f64 eps) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))) (pow.f64 (log1p.f64 eps) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 eps))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (pow.f64 (log1p.f64 eps) 1/6)) (pow.f64 (log1p.f64 eps) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 eps) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log1p.f64 eps) 1) (+.f64 (log1p.f64 eps) 1)) (+.f64 1 (+.f64 (log1p.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 eps) 1) (+.f64 (log1p.f64 eps) 1)) 1) (+.f64 (+.f64 (log1p.f64 eps) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 eps) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x 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 (E.f64) (log.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 eps)))) (sqrt.f64 (log.f64 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 eps))) 2)) (cbrt.f64 (log.f64 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (log1p.f64 eps))))) (#(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 exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 eps))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 eps))) 2)))))) |
| 1× | egg-herbie |
| 560× | fma-def_binary64 |
| 304× | times-frac_binary64 |
| 298× | associate--l+_binary64 |
| 253× | log-prod_binary64 |
| 253× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 458 |
| 1 | 342 | 438 |
| 2 | 995 | 429 |
| 3 | 4138 | 413 |
| 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 (+.f64 (log1p.f64 eps) 1) -1) |
(+.f64 0 (log1p.f64 eps)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (log.f64 (cbrt.f64 (+.f64 eps 1)))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 eps 1))) (log.f64 (sqrt.f64 (+.f64 eps 1)))) |
(-.f64 (log1p.f64 (pow.f64 eps 3)) (log1p.f64 (-.f64 (*.f64 eps eps) eps))) |
(-.f64 (+.f64 (log1p.f64 eps) 1) 1) |
(-.f64 (log.f64 (-.f64 1 (*.f64 eps eps))) (log.f64 (-.f64 1 eps))) |
(*.f64 (log1p.f64 eps) 1) |
(*.f64 1 (log1p.f64 eps)) |
(*.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps))) |
(*.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 eps))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2))) |
(*.f64 (pow.f64 (log1p.f64 eps) 1/6) (*.f64 (pow.f64 (log1p.f64 eps) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 eps))) 2) (cbrt.f64 (log1p.f64 eps)))) |
(*.f64 (pow.f64 (log1p.f64 eps) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 eps) 3/2))) |
(*.f64 (pow.f64 (log1p.f64 eps) 1/4) (*.f64 (pow.f64 (log1p.f64 eps) 1/4) (sqrt.f64 (log1p.f64 eps)))) |
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 eps)) (pow.f64 (log1p.f64 eps) 1/4)) (pow.f64 (log1p.f64 eps) 1/4)) |
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 eps) 5/2)) (pow.f64 (log1p.f64 eps) 1/6)) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 4) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 eps)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 5)) (pow.f64 (log1p.f64 eps) 1/6)) |
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 eps) 3/2)) (pow.f64 (log1p.f64 eps) 1/4)) |
(*.f64 (pow.f64 1 1/3) (log1p.f64 eps)) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 eps)))) |
(*.f64 (pow.f64 (pow.f64 (log1p.f64 eps) 5/2) 1/3) (pow.f64 (log1p.f64 eps) 1/6)) |
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))) (pow.f64 (log1p.f64 eps) 1/6)) |
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 eps))) 2)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 eps))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 eps)))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (pow.f64 (log1p.f64 eps) 1/6)) (pow.f64 (log1p.f64 eps) 1/6)) |
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 eps) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log1p.f64 eps) 1) (+.f64 (log1p.f64 eps) 1)) (+.f64 1 (+.f64 (log1p.f64 eps) 1)))) |
(/.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 eps) 1) (+.f64 (log1p.f64 eps) 1)) 1) (+.f64 (+.f64 (log1p.f64 eps) 1) 1)) |
(pow.f64 (log1p.f64 eps) 1) |
(pow.f64 (pow.f64 (log1p.f64 eps) 2) 1/2) |
(pow.f64 (pow.f64 (log1p.f64 eps) 3) 1/3) |
(pow.f64 (cbrt.f64 (log1p.f64 eps)) 3) |
(pow.f64 (sqrt.f64 (log1p.f64 eps)) 2) |
(pow.f64 (E.f64) (log.f64 (log1p.f64 eps))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 eps)))) (sqrt.f64 (log.f64 (log1p.f64 eps)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 eps))) 2)) (cbrt.f64 (log.f64 (log1p.f64 eps)))) |
(sqrt.f64 (pow.f64 (log1p.f64 eps) 2)) |
(fabs.f64 (log1p.f64 eps)) |
(log.f64 (+.f64 eps 1)) |
(cbrt.f64 (pow.f64 (log1p.f64 eps) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 eps))) |
(exp.f64 (log.f64 (log1p.f64 eps))) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 eps))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 eps))) 3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 eps))) 2)) |
| 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 (*.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)) |
(+.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 -1/2 (*.f64 eps eps) (+.f64 eps (fma.f64 -1/4 (pow.f64 eps 4) (*.f64 1/3 (pow.f64 eps 3))))) |
(fma.f64 eps (*.f64 eps -1/2) (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 -1/4 (pow.f64 eps 4) eps))) |
(+.f64 (+.f64 (log1p.f64 eps) 1) -1) |
(log1p.f64 eps) |
(+.f64 0 (log1p.f64 eps)) |
(log1p.f64 eps) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (log.f64 (cbrt.f64 (+.f64 eps 1)))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 eps 1)))) (log.f64 (cbrt.f64 (+.f64 eps 1)))) |
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 eps 1)))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 eps 1))) (log.f64 (sqrt.f64 (+.f64 eps 1)))) |
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 eps 1)))) |
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 eps)))) |
(-.f64 (log1p.f64 (pow.f64 eps 3)) (log1p.f64 (-.f64 (*.f64 eps eps) eps))) |
(-.f64 (log1p.f64 (pow.f64 eps 3)) (log1p.f64 (fma.f64 eps eps (neg.f64 eps)))) |
(-.f64 (+.f64 (log1p.f64 eps) 1) 1) |
(log1p.f64 eps) |
(-.f64 (log.f64 (-.f64 1 (*.f64 eps eps))) (log.f64 (-.f64 1 eps))) |
(-.f64 (log1p.f64 (*.f64 eps (neg.f64 eps))) (log1p.f64 (neg.f64 eps))) |
(*.f64 (log1p.f64 eps) 1) |
(log1p.f64 eps) |
(*.f64 1 (log1p.f64 eps)) |
(log1p.f64 eps) |
(*.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) |
(log1p.f64 eps) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps))) |
(log1p.f64 eps) |
(*.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) |
(log1p.f64 eps) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 eps))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2))) |
(log1p.f64 eps) |
(*.f64 (pow.f64 (log1p.f64 eps) 1/6) (*.f64 (pow.f64 (log1p.f64 eps) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2))) |
(log1p.f64 eps) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 eps))) 2) (cbrt.f64 (log1p.f64 eps)))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 4)) (*.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 eps))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 eps))) 2) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 4)))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 eps))) 5)) |
(*.f64 (pow.f64 (log1p.f64 eps) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 eps) 3/2))) |
(log1p.f64 eps) |
(*.f64 (pow.f64 (log1p.f64 eps) 1/4) (*.f64 (pow.f64 (log1p.f64 eps) 1/4) (sqrt.f64 (log1p.f64 eps)))) |
(log1p.f64 eps) |
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 eps)) (pow.f64 (log1p.f64 eps) 1/4)) (pow.f64 (log1p.f64 eps) 1/4)) |
(log1p.f64 eps) |
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 eps) 5/2)) (pow.f64 (log1p.f64 eps) 1/6)) |
(*.f64 (pow.f64 (log1p.f64 eps) 1/6) (cbrt.f64 (pow.f64 (log1p.f64 eps) 5/2))) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 4) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 eps)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 eps))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 4) 2))) |
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 eps))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 8))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 5)) (pow.f64 (log1p.f64 eps) 1/6)) |
(*.f64 (pow.f64 (log1p.f64 eps) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 5))) |
(*.f64 (pow.f64 (log1p.f64 eps) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 5/2)) |
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 eps) 3/2)) (pow.f64 (log1p.f64 eps) 1/4)) |
(log1p.f64 eps) |
(*.f64 (pow.f64 1 1/3) (log1p.f64 eps)) |
(log1p.f64 eps) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 eps)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 eps))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 4) 2))) |
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 eps))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 8))) |
(*.f64 (pow.f64 (pow.f64 (log1p.f64 eps) 5/2) 1/3) (pow.f64 (log1p.f64 eps) 1/6)) |
(*.f64 (pow.f64 (log1p.f64 eps) 1/6) (cbrt.f64 (pow.f64 (log1p.f64 eps) 5/2))) |
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))) (pow.f64 (log1p.f64 eps) 1/6)) |
(*.f64 (pow.f64 (log1p.f64 eps) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 5))) |
(*.f64 (pow.f64 (log1p.f64 eps) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 5/2)) |
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 eps))) 2)) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 4)) (*.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 eps))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 eps))) 2) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 4)))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 eps))) 5)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 eps))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 eps)))) |
(log1p.f64 eps) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (pow.f64 (log1p.f64 eps) 1/6)) (pow.f64 (log1p.f64 eps) 1/6)) |
(log1p.f64 eps) |
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 eps) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log1p.f64 eps) 1) (+.f64 (log1p.f64 eps) 1)) (+.f64 1 (+.f64 (log1p.f64 eps) 1)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 eps) 1) 3) -1) (fma.f64 (+.f64 (log1p.f64 eps) 1) (+.f64 (log1p.f64 eps) 1) (+.f64 (log1p.f64 eps) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 eps) 1) 3)) (fma.f64 (+.f64 (log1p.f64 eps) 1) (+.f64 (log1p.f64 eps) 1) (+.f64 2 (log1p.f64 eps)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 eps) 1) 3)) (+.f64 1 (*.f64 (+.f64 (log1p.f64 eps) 1) (+.f64 2 (log1p.f64 eps))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 eps) 1) 3)) (fma.f64 (+.f64 (log1p.f64 eps) 1) (+.f64 2 (log1p.f64 eps)) 1)) |
(/.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 eps) 1) (+.f64 (log1p.f64 eps) 1)) 1) (+.f64 (+.f64 (log1p.f64 eps) 1) 1)) |
(log1p.f64 eps) |
(pow.f64 (log1p.f64 eps) 1) |
(log1p.f64 eps) |
(pow.f64 (pow.f64 (log1p.f64 eps) 2) 1/2) |
(log1p.f64 eps) |
(pow.f64 (pow.f64 (log1p.f64 eps) 3) 1/3) |
(log1p.f64 eps) |
(pow.f64 (cbrt.f64 (log1p.f64 eps)) 3) |
(log1p.f64 eps) |
(pow.f64 (sqrt.f64 (log1p.f64 eps)) 2) |
(log1p.f64 eps) |
(pow.f64 (E.f64) (log.f64 (log1p.f64 eps))) |
(log1p.f64 eps) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 eps)))) (sqrt.f64 (log.f64 (log1p.f64 eps)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 eps))) 2)) (cbrt.f64 (log.f64 (log1p.f64 eps)))) |
(sqrt.f64 (pow.f64 (log1p.f64 eps) 2)) |
(log1p.f64 eps) |
(fabs.f64 (log1p.f64 eps)) |
(log1p.f64 eps) |
(log.f64 (+.f64 eps 1)) |
(log1p.f64 eps) |
(cbrt.f64 (pow.f64 (log1p.f64 eps) 3)) |
(log1p.f64 eps) |
(expm1.f64 (log1p.f64 (log1p.f64 eps))) |
(log1p.f64 eps) |
(exp.f64 (log.f64 (log1p.f64 eps))) |
(log1p.f64 eps) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 eps))) 1/3)) |
(log1p.f64 eps) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 eps))) 3)) |
(log1p.f64 eps) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 eps))) 2)) |
(log1p.f64 eps) |
Compiled 2864 to 1699 computations (40.7% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 203 | 3 | 206 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 204 | 4 | 208 |
| Status | Error | Program |
|---|---|---|
| ▶ | 1.2b | (-.f64 (log1p.f64 (neg.f64 eps)) eps) |
| ▶ | 0.2b | (+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
| ▶ | 0.5b | (*.f64 -2 eps) |
| ✓ | 58.8b | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
Compiled 29 to 22 computations (24.1% saved)
Compiled 6 to 4 computations (33.3% saved)
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 | |
|---|---|---|---|---|
| 1.0ms | eps | @ | -inf | (*.f64 -2/3 (pow.f64 eps 3)) |
| 1.0ms | eps | @ | inf | (*.f64 -2/3 (pow.f64 eps 3)) |
| 1.0ms | eps | @ | 0 | (*.f64 -2/3 (pow.f64 eps 3)) |
Compiled 290 to 250 computations (13.8% saved)
| 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 |
| 1136× | log-prod_binary64 |
| 454× | exp-sum_binary64 |
| 411× | distribute-rgt-in_binary64 |
| 404× | distribute-lft-in_binary64 |
| 324× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 143 |
| 1 | 96 | 110 |
| 2 | 310 | 77 |
| 3 | 1861 | 77 |
| 4 | 5973 | 77 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1) |
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1) |
(pow.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3) 1/3) |
(pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3) |
(pow.f64 (*.f64 (sqrt.f64 -2/3) (pow.f64 eps 3/2)) 2) |
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9)) |
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))) |
(cbrt.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3)))) |
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3)))) |
(exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3)))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1) |
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1) |
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1) |
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1) |
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(pow.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3) 1/3) |
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1) |
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3) |
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1) |
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(pow.f64 (*.f64 (sqrt.f64 -2/3) (pow.f64 eps 3/2)) 2) |
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1) |
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9)) |
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1) |
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))) |
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1) |
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(cbrt.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3)) |
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1) |
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3)))) |
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1) |
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3)))) |
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1) |
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3)))) |
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1) |
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0) |
(*.f64 -2/3 (pow.f64 eps 3)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (log1p.f64 (neg.f64 eps)) eps) |
Compiled 12 to 4 computations (66.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | eps | @ | 0 | (-.f64 (log1p.f64 (neg.f64 eps)) eps) |
| 0.0ms | eps | @ | inf | (-.f64 (log1p.f64 (neg.f64 eps)) eps) |
| 0.0ms | eps | @ | -inf | (-.f64 (log1p.f64 (neg.f64 eps)) eps) |
Compiled 785 to 635 computations (19.1% saved)
| 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 |
| 492× | associate-*l*_binary64 |
| 479× | fma-neg_binary64 |
| 467× | associate-*r*_binary64 |
| 410× | fma-def_binary64 |
| 276× | log-prod_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 454 |
| 1 | 251 | 431 |
| 2 | 897 | 409 |
| 3 | 5993 | 409 |
| 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 -1 eps) |
(+.f64 eps (log1p.f64 eps)) |
(+.f64 (log1p.f64 eps) eps) |
(+.f64 (+.f64 eps (log1p.f64 eps)) (fma.f64 eps 1 eps)) |
(+.f64 (+.f64 eps (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps)) |
(+.f64 (+.f64 eps (log1p.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) eps)) |
(*.f64 (+.f64 eps (log1p.f64 eps)) 1) |
(*.f64 1 (+.f64 eps (log1p.f64 eps))) |
(*.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 2) (/.f64 1 (+.f64 eps (log1p.f64 eps)))) |
(*.f64 (cbrt.f64 (+.f64 eps (log1p.f64 eps))) (pow.f64 (cbrt.f64 (+.f64 eps (log1p.f64 eps))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 eps (log1p.f64 eps))) 2) (cbrt.f64 (+.f64 eps (log1p.f64 eps)))) |
(*.f64 (sqrt.f64 (+.f64 eps (log1p.f64 eps))) (sqrt.f64 (+.f64 eps (log1p.f64 eps)))) |
(*.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)))))) |
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 eps)) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 eps))) |
(/.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)))) |
(/.f64 1 (/.f64 (+.f64 eps (log1p.f64 eps)) (pow.f64 (+.f64 eps (log1p.f64 eps)) 2))) |
(/.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 2) (+.f64 eps (log1p.f64 eps))) |
(/.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))))) |
(/.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))))) |
(/.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)))))) |
(/.f64 (neg.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 2)) (neg.f64 (+.f64 eps (log1p.f64 eps)))) |
(pow.f64 (+.f64 eps (log1p.f64 eps)) 1) |
(pow.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 eps (log1p.f64 eps))) 3) |
(pow.f64 (sqrt.f64 (+.f64 eps (log1p.f64 eps))) 2) |
(sqrt.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 2)) |
(log.f64 (exp.f64 (+.f64 eps (log1p.f64 eps)))) |
(cbrt.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 eps (log1p.f64 eps)))) |
(log1p.f64 (expm1.f64 (+.f64 eps (log1p.f64 eps)))) |
(exp.f64 (log.f64 (+.f64 eps (log1p.f64 eps)))) |
(fma.f64 1 (log1p.f64 eps) eps) |
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) eps) |
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) eps) |
| 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 -1/2 (*.f64 eps eps))) |
(*.f64 eps (+.f64 -2 (*.f64 eps -1/2))) |
(+.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 -2 eps (*.f64 (*.f64 eps eps) (+.f64 -1/2 (*.f64 eps -1/3)))) |
(+.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))))) |
(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 eps (*.f64 eps -1/2) (fma.f64 -1/3 (pow.f64 eps 3) (fma.f64 -1/4 (pow.f64 eps 4) (*.f64 -2 eps)))) |
(*.f64 -1 eps) |
(neg.f64 eps) |
(*.f64 -1 eps) |
(neg.f64 eps) |
(+.f64 eps (log1p.f64 eps)) |
(+.f64 (log1p.f64 eps) eps) |
(+.f64 eps (log1p.f64 eps)) |
(+.f64 (+.f64 eps (log1p.f64 eps)) (fma.f64 eps 1 eps)) |
(+.f64 eps (+.f64 (log1p.f64 eps) (fma.f64 eps 1 eps))) |
(+.f64 (+.f64 eps (log1p.f64 eps)) (+.f64 eps eps)) |
(+.f64 (log1p.f64 eps) (+.f64 eps (+.f64 eps eps))) |
(+.f64 (+.f64 eps (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps)) |
(+.f64 (log1p.f64 eps) (+.f64 eps (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps))) |
(+.f64 (-.f64 (log1p.f64 eps) eps) (+.f64 eps eps)) |
(+.f64 (+.f64 eps (log1p.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) eps)) |
(+.f64 (+.f64 eps (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps)) |
(+.f64 (log1p.f64 eps) (+.f64 eps (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps))) |
(+.f64 (-.f64 (log1p.f64 eps) eps) (+.f64 eps eps)) |
(*.f64 (+.f64 eps (log1p.f64 eps)) 1) |
(+.f64 eps (log1p.f64 eps)) |
(*.f64 1 (+.f64 eps (log1p.f64 eps))) |
(+.f64 eps (log1p.f64 eps)) |
(*.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 2) (/.f64 1 (+.f64 eps (log1p.f64 eps)))) |
(+.f64 eps (log1p.f64 eps)) |
(*.f64 (cbrt.f64 (+.f64 eps (log1p.f64 eps))) (pow.f64 (cbrt.f64 (+.f64 eps (log1p.f64 eps))) 2)) |
(+.f64 eps (log1p.f64 eps)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 eps (log1p.f64 eps))) 2) (cbrt.f64 (+.f64 eps (log1p.f64 eps)))) |
(+.f64 eps (log1p.f64 eps)) |
(*.f64 (sqrt.f64 (+.f64 eps (log1p.f64 eps))) (sqrt.f64 (+.f64 eps (log1p.f64 eps)))) |
(+.f64 eps (log1p.f64 eps)) |
(*.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)))))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 eps (+.f64 eps (log1p.f64 eps)))) (+.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)))) |
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 eps (+.f64 eps (log1p.f64 eps)) (pow.f64 (log1p.f64 eps) 2))) |
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 eps)) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 eps))) |
(*.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 eps))) |
(/.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)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 eps (+.f64 eps (log1p.f64 eps)))) (+.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)))) |
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 eps (+.f64 eps (log1p.f64 eps)) (pow.f64 (log1p.f64 eps) 2))) |
(/.f64 1 (/.f64 (+.f64 eps (log1p.f64 eps)) (pow.f64 (+.f64 eps (log1p.f64 eps)) 2))) |
(+.f64 eps (log1p.f64 eps)) |
(/.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 2) (+.f64 eps (log1p.f64 eps))) |
(+.f64 eps (log1p.f64 eps)) |
(/.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))))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 eps (+.f64 eps (log1p.f64 eps)))) (+.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)))) |
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 eps (+.f64 eps (log1p.f64 eps)) (pow.f64 (log1p.f64 eps) 2))) |
(/.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))))) |
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 eps (-.f64 eps (log1p.f64 eps))))) |
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 eps (-.f64 eps (log1p.f64 eps)) (pow.f64 (log1p.f64 eps) 2))) |
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 eps eps (*.f64 (log1p.f64 eps) (-.f64 (log1p.f64 eps) eps)))) |
(/.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)))))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 eps (+.f64 eps (log1p.f64 eps)))) (+.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)))) |
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 eps (+.f64 eps (log1p.f64 eps)) (pow.f64 (log1p.f64 eps) 2))) |
(/.f64 (neg.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 2)) (neg.f64 (+.f64 eps (log1p.f64 eps)))) |
(+.f64 eps (log1p.f64 eps)) |
(pow.f64 (+.f64 eps (log1p.f64 eps)) 1) |
(+.f64 eps (log1p.f64 eps)) |
(pow.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 3) 1/3) |
(+.f64 eps (log1p.f64 eps)) |
(pow.f64 (cbrt.f64 (+.f64 eps (log1p.f64 eps))) 3) |
(+.f64 eps (log1p.f64 eps)) |
(pow.f64 (sqrt.f64 (+.f64 eps (log1p.f64 eps))) 2) |
(+.f64 eps (log1p.f64 eps)) |
(sqrt.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 2)) |
(+.f64 eps (log1p.f64 eps)) |
(log.f64 (exp.f64 (+.f64 eps (log1p.f64 eps)))) |
(+.f64 eps (log1p.f64 eps)) |
(cbrt.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 3)) |
(+.f64 eps (log1p.f64 eps)) |
(expm1.f64 (log1p.f64 (+.f64 eps (log1p.f64 eps)))) |
(+.f64 eps (log1p.f64 eps)) |
(log1p.f64 (expm1.f64 (+.f64 eps (log1p.f64 eps)))) |
(+.f64 eps (log1p.f64 eps)) |
(exp.f64 (log.f64 (+.f64 eps (log1p.f64 eps)))) |
(+.f64 eps (log1p.f64 eps)) |
(fma.f64 1 (log1p.f64 eps) eps) |
(+.f64 eps (log1p.f64 eps)) |
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) eps) |
(+.f64 eps (log1p.f64 eps)) |
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) eps) |
(+.f64 eps (log1p.f64 eps)) |
Compiled 825 to 439 computations (46.8% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 70 | 2 | 72 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 3 | 3 |
| Total | 71 | 5 | 76 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.2b | (+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
| ▶ | 1.2b | (*.f64 eps (+.f64 -2 (*.f64 eps -1/2))) |
| ✓ | 0.5b | (*.f64 -2 eps) |
| ▶ | 52.0b | (neg.f64 eps) |
| ✓ | 58.8b | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
Compiled 34 to 26 computations (23.5% saved)
Compiled 4 to 2 computations (50% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 eps (+.f64 -2 (*.f64 eps -1/2))) |
Compiled 19 to 14 computations (26.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | (*.f64 eps (+.f64 -2 (*.f64 eps -1/2))) |
| 1.0ms | eps | @ | 0 | (*.f64 eps (+.f64 -2 (*.f64 eps -1/2))) |
| 1.0ms | eps | @ | -inf | (*.f64 eps (+.f64 -2 (*.f64 eps -1/2))) |
Compiled 560 to 455 computations (18.8% saved)
| 1× | batch-egg-rewrite |
| 803× | pow1_binary64 |
| 753× | add-log-exp_binary64 |
| 753× | log1p-expm1-u_binary64 |
| 753× | expm1-log1p-u_binary64 |
| 740× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 158 | 8 |
| 2 | 2074 | 8 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 eps (+.f64 -2 (*.f64 eps -1/2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps -2) (*.f64 -1/2 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 eps -2) 1) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps (fma.f64 eps -1/2 -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 eps -2) 3) (pow.f64 (*.f64 -1/2 (*.f64 eps eps)) 3)) (+.f64 (*.f64 (*.f64 eps -2) (*.f64 eps -2)) (-.f64 (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (*.f64 eps -2) (*.f64 -1/2 (*.f64 eps eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 eps -2) (*.f64 eps -2)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/2 (*.f64 eps eps)))) (-.f64 (*.f64 eps -2) (*.f64 -1/2 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -8 (*.f64 (pow.f64 eps 3) -1/8)) eps) (+.f64 4 (-.f64 (*.f64 (*.f64 eps eps) 1/4) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 (*.f64 eps eps) 1/4)) eps) (+.f64 -2 (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (+.f64 -8 (*.f64 (pow.f64 eps 3) -1/8))) (+.f64 4 (-.f64 (*.f64 (*.f64 eps eps) 1/4) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (-.f64 4 (*.f64 (*.f64 eps eps) 1/4))) (+.f64 -2 (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (fma.f64 eps -1/2 -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps -1/2 -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps -1/2 -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps -1/2 -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps -1/2 -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 eps -1/2 -2)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps -1/2 -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 eps -1/2 -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 eps -1/2 -2) 3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps -1/2 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps -1/2 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (fma.f64 eps -1/2 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps -2 (*.f64 -1/2 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))))))) |
| 1× | egg-herbie |
| 670× | distribute-rgt-in_binary64 |
| 600× | distribute-lft-in_binary64 |
| 329× | fma-neg_binary64 |
| 270× | fma-def_binary64 |
| 239× | associate-/l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 462 |
| 1 | 266 | 355 |
| 2 | 971 | 339 |
| 3 | 3380 | 339 |
| 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 -2 eps)) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -2 eps)) |
(*.f64 -1/2 (pow.f64 (/.f64 1 eps) -2)) |
(+.f64 (*.f64 -2 eps) (*.f64 -1/2 (pow.f64 (/.f64 1 eps) -2))) |
(+.f64 (*.f64 -2 eps) (*.f64 -1/2 (pow.f64 (/.f64 1 eps) -2))) |
(+.f64 (*.f64 -2 eps) (*.f64 -1/2 (pow.f64 (/.f64 1 eps) -2))) |
(*.f64 -1/2 (pow.f64 (/.f64 -1 eps) -2)) |
(+.f64 (*.f64 -2 eps) (*.f64 -1/2 (pow.f64 (/.f64 -1 eps) -2))) |
(+.f64 (*.f64 -2 eps) (*.f64 -1/2 (pow.f64 (/.f64 -1 eps) -2))) |
(+.f64 (*.f64 -2 eps) (*.f64 -1/2 (pow.f64 (/.f64 -1 eps) -2))) |
(+.f64 (*.f64 eps -2) (*.f64 -1/2 (*.f64 eps eps))) |
(+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps -2)) |
(+.f64 (*.f64 (*.f64 eps -2) 1) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) 1)) |
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 eps -1/2 -2))) 1) |
(/.f64 (+.f64 (pow.f64 (*.f64 eps -2) 3) (pow.f64 (*.f64 -1/2 (*.f64 eps eps)) 3)) (+.f64 (*.f64 (*.f64 eps -2) (*.f64 eps -2)) (-.f64 (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (*.f64 eps -2) (*.f64 -1/2 (*.f64 eps eps)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps -2) (*.f64 eps -2)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/2 (*.f64 eps eps)))) (-.f64 (*.f64 eps -2) (*.f64 -1/2 (*.f64 eps eps)))) |
(/.f64 (*.f64 (+.f64 -8 (*.f64 (pow.f64 eps 3) -1/8)) eps) (+.f64 4 (-.f64 (*.f64 (*.f64 eps eps) 1/4) eps))) |
(/.f64 (*.f64 (-.f64 4 (*.f64 (*.f64 eps eps) 1/4)) eps) (+.f64 -2 (*.f64 1/2 eps))) |
(/.f64 (*.f64 eps (+.f64 -8 (*.f64 (pow.f64 eps 3) -1/8))) (+.f64 4 (-.f64 (*.f64 (*.f64 eps eps) 1/4) eps))) |
(/.f64 (*.f64 eps (-.f64 4 (*.f64 (*.f64 eps eps) 1/4))) (+.f64 -2 (*.f64 1/2 eps))) |
(pow.f64 (*.f64 eps (fma.f64 eps -1/2 -2)) 1) |
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps -1/2 -2)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps -1/2 -2))) 3) |
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps -1/2 -2))) 2) |
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps -1/2 -2)) 2)) |
(log.f64 (pow.f64 (exp.f64 (fma.f64 eps -1/2 -2)) eps)) |
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps -1/2 -2)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 eps -1/2 -2) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 eps -1/2 -2) 3) (pow.f64 eps 3))) |
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps -1/2 -2)))) |
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps -1/2 -2)))) |
(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps -1/2 -2)))) |
(fma.f64 eps -2 (*.f64 -1/2 (*.f64 eps eps))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
| Outputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -2 eps)) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -2 eps)) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -2 eps)) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(*.f64 -1/2 (pow.f64 (/.f64 1 eps) -2)) |
(*.f64 eps (*.f64 eps -1/2)) |
(+.f64 (*.f64 -2 eps) (*.f64 -1/2 (pow.f64 (/.f64 1 eps) -2))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(+.f64 (*.f64 -2 eps) (*.f64 -1/2 (pow.f64 (/.f64 1 eps) -2))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(+.f64 (*.f64 -2 eps) (*.f64 -1/2 (pow.f64 (/.f64 1 eps) -2))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(*.f64 -1/2 (pow.f64 (/.f64 -1 eps) -2)) |
(*.f64 -1/2 (pow.f64 (/.f64 1 eps) -2)) |
(*.f64 eps (*.f64 eps -1/2)) |
(+.f64 (*.f64 -2 eps) (*.f64 -1/2 (pow.f64 (/.f64 -1 eps) -2))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(+.f64 (*.f64 -2 eps) (*.f64 -1/2 (pow.f64 (/.f64 -1 eps) -2))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(+.f64 (*.f64 -2 eps) (*.f64 -1/2 (pow.f64 (/.f64 -1 eps) -2))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(+.f64 (*.f64 eps -2) (*.f64 -1/2 (*.f64 eps eps))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps -2)) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(+.f64 (*.f64 (*.f64 eps -2) 1) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) 1)) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 eps -1/2 -2))) 1) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(/.f64 (+.f64 (pow.f64 (*.f64 eps -2) 3) (pow.f64 (*.f64 -1/2 (*.f64 eps eps)) 3)) (+.f64 (*.f64 (*.f64 eps -2) (*.f64 eps -2)) (-.f64 (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (*.f64 eps -2) (*.f64 -1/2 (*.f64 eps eps)))))) |
(/.f64 (+.f64 (*.f64 (pow.f64 eps 3) -8) (*.f64 -1/8 (pow.f64 (*.f64 eps eps) 3))) (+.f64 (*.f64 (*.f64 eps eps) 4) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -2 eps))))) |
(/.f64 (fma.f64 (pow.f64 eps 3) -8 (*.f64 -1/8 (pow.f64 (*.f64 eps eps) 3))) (-.f64 (fma.f64 eps (*.f64 4 eps) (*.f64 1/4 (pow.f64 eps 4))) (pow.f64 eps 3))) |
(/.f64 (fma.f64 -8 (pow.f64 eps 3) (*.f64 -1/8 (pow.f64 eps 6))) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 eps (*.f64 eps 1/4) 4) eps))) |
(/.f64 (fma.f64 -1/8 (pow.f64 eps 6) (*.f64 -8 (pow.f64 eps 3))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/4) (-.f64 4 eps)))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps -2) (*.f64 eps -2)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/2 (*.f64 eps eps)))) (-.f64 (*.f64 eps -2) (*.f64 -1/2 (*.f64 eps eps)))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(/.f64 (*.f64 (+.f64 -8 (*.f64 (pow.f64 eps 3) -1/8)) eps) (+.f64 4 (-.f64 (*.f64 (*.f64 eps eps) 1/4) eps))) |
(/.f64 (+.f64 -8 (*.f64 (pow.f64 eps 3) -1/8)) (/.f64 (+.f64 4 (-.f64 (*.f64 (*.f64 eps eps) 1/4) eps)) eps)) |
(/.f64 (fma.f64 (pow.f64 eps 3) -1/8 -8) (/.f64 (+.f64 4 (fma.f64 (*.f64 eps eps) 1/4 (neg.f64 eps))) eps)) |
(*.f64 (fma.f64 (pow.f64 eps 3) -1/8 -8) (/.f64 eps (-.f64 (fma.f64 eps (*.f64 eps 1/4) 4) eps))) |
(*.f64 (fma.f64 (pow.f64 eps 3) -1/8 -8) (/.f64 eps (fma.f64 eps (*.f64 eps 1/4) (-.f64 4 eps)))) |
(/.f64 (*.f64 (-.f64 4 (*.f64 (*.f64 eps eps) 1/4)) eps) (+.f64 -2 (*.f64 1/2 eps))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(/.f64 (*.f64 eps (+.f64 -8 (*.f64 (pow.f64 eps 3) -1/8))) (+.f64 4 (-.f64 (*.f64 (*.f64 eps eps) 1/4) eps))) |
(/.f64 (+.f64 -8 (*.f64 (pow.f64 eps 3) -1/8)) (/.f64 (+.f64 4 (-.f64 (*.f64 (*.f64 eps eps) 1/4) eps)) eps)) |
(/.f64 (fma.f64 (pow.f64 eps 3) -1/8 -8) (/.f64 (+.f64 4 (fma.f64 (*.f64 eps eps) 1/4 (neg.f64 eps))) eps)) |
(*.f64 (fma.f64 (pow.f64 eps 3) -1/8 -8) (/.f64 eps (-.f64 (fma.f64 eps (*.f64 eps 1/4) 4) eps))) |
(*.f64 (fma.f64 (pow.f64 eps 3) -1/8 -8) (/.f64 eps (fma.f64 eps (*.f64 eps 1/4) (-.f64 4 eps)))) |
(/.f64 (*.f64 eps (-.f64 4 (*.f64 (*.f64 eps eps) 1/4))) (+.f64 -2 (*.f64 1/2 eps))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(pow.f64 (*.f64 eps (fma.f64 eps -1/2 -2)) 1) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps -1/2 -2)) 3) 1/3) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps -1/2 -2))) 3) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps -1/2 -2))) 2) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps -1/2 -2)) 2)) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(log.f64 (pow.f64 (exp.f64 (fma.f64 eps -1/2 -2)) eps)) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps -1/2 -2)) 3)) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 eps -1/2 -2) 3))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 eps -1/2 -2) 3) (pow.f64 eps 3))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps -1/2 -2)))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps -1/2 -2)))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps -1/2 -2)))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(fma.f64 eps -2 (*.f64 -1/2 (*.f64 eps eps))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
Compiled 544 to 376 computations (30.9% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 40 | 0 | 40 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 40 | 5 | 45 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.2b | (+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
| ✓ | 1.2b | (*.f64 eps (+.f64 -2 (*.f64 eps -1/2))) |
| ✓ | 0.5b | (*.f64 -2 eps) |
| ✓ | 52.0b | (neg.f64 eps) |
| ✓ | 58.8b | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
Compiled 34 to 26 computations (23.5% saved)
| Inputs |
|---|
(neg.f64 eps) |
(*.f64 -2 eps) |
(*.f64 eps (+.f64 -2 (*.f64 eps -1/2))) |
(-.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)) |
| 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 60 to 40 computations (33.3% saved)
| Inputs |
|---|
(neg.f64 eps) |
(*.f64 -2 eps) |
(*.f64 eps (+.f64 -2 (*.f64 eps -1/2))) |
(-.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:
| 4.0ms | eps |
| 2.0ms | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 2.0ms | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 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 54 to 38 computations (29.6% saved)
Total -59.7b remaining (-12844.4%)
Threshold costs -59.7b (-12844.4%)
| Inputs |
|---|
(neg.f64 eps) |
(*.f64 -2 eps) |
(*.f64 eps (+.f64 -2 (*.f64 eps -1/2))) |
(-.f64 (log1p.f64 (neg.f64 eps)) eps) |
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| Outputs |
|---|
(*.f64 -2 eps) |
3 calls:
| 4.0ms | eps |
| 2.0ms | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 2.0ms | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 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 45 to 31 computations (31.1% 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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