Details

sample36.0ms

Algorithm

intervals

Results

15.0ms	837×	body	80	nan
6.0ms	256×	body	80	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	4
1	9	4
2	9	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(log (- (/ 1.0 x) 1.0))
0.0b	(- (/ 1.0 x) 1.0)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
44×	`add-cube-cbrt`
39×	`prod-diff`
38×	`times-frac`
13×	`fma-neg`
6×	`log-prod`
4×	`div-inv` `add-log-exp` `difference-of-squares`
3×	`pow1` `add-exp-log`
2×	`expm1-log1p-u` `log-div` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `rem-log-exp` `log-pow`

Counts

2 → 88

Calls

2 calls:

9.0ms	(log (- (/ 1.0 x) 1.0))
13.0ms	(- (/ 1.0 x) 1.0)

series98.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(log (- (/ 1.0 x) 1.0))
38.0ms	(- (/ 1.0 x) 1.0)

simplify40.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	320	832
1	1090	531
2	5002	477

prune138.0ms

Filtered

94 candidates to 50 candidates (53.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (- 1.0)))
0.3b	(/ (sqrt 1.0) (sqrt x))
0.3b	(/ (sqrt 1.0) (sqrt x))
0.5b	(fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (- 1.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

84×	`sqrt-prod`
72×	`times-frac`
61×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`associate-/r` `associate-/l`
9×	`add-exp-log`
8×	`add-cbrt-cube`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`log-prod`
2×	`cbrt-undiv` `sqrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`rem-log-exp` `log-pow` `fma-udef`

Counts

4 → 150

Calls

4 calls:

1.0ms	(log (fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (- 1.0)))
4.0ms	(/ (sqrt 1.0) (sqrt x))
4.0ms	(/ (sqrt 1.0) (sqrt x))
0.0ms	(fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (- 1.0))

series779.0ms

Counts

4 → 12

Calls

4 calls:

412.0ms	(log (fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (- 1.0)))
67.0ms	(/ (sqrt 1.0) (sqrt x))
70.0ms	(/ (sqrt 1.0) (sqrt x))
229.0ms	(fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (- 1.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	445	1452
1	1692	1298
2	5001	1233

prune368.0ms

Filtered

162 candidates to 103 candidates (63.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (- 1.0))
0.5b	(fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (- 1.0))
0.5b	(cbrt (fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (- 1.0)))
0.5b	(cbrt (fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (- 1.0)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `fma-udef`

Counts

4 → 46

Calls

4 calls:

0.0ms	(fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (- 1.0))
0.0ms	(fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (- 1.0))
0.0ms	(cbrt (fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (- 1.0)))
1.0ms	(cbrt (fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (- 1.0)))

series1.8s

Counts

4 → 12

Calls

4 calls:

232.0ms	(fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (- 1.0))
234.0ms	(fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (- 1.0))
668.0ms	(cbrt (fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (- 1.0)))
671.0ms	(cbrt (fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (- 1.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	294	918
1	1137	806
2	5002	704

prune282.0ms

Filtered

58 candidates to 58 candidates (100.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes86.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10

end0.0ms

sample965.0ms

Algorithm

intervals

Results

425.0ms	24046×	body	80	nan
197.0ms	8000×	body	80	valid