Details

sample39.0ms

Algorithm

intervals

Results

14.0ms	95×	body	1280	valid
8.0ms	92×	body	640	valid
3.0ms	384×	pre	80	true
2.0ms	41×	body	320	valid
2.0ms	134×	body	80	valid
1.0ms	22×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	7	2
2	7	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize3.0ms

Local error

Found 1 expressions with local error:

7.0b	(- (exp x) 1.0)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

12.0ms

(- (exp x) 1.0)

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(- (exp x) 1.0)

simplify62.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	140	205
1	403	130
2	2063	120
3	5003	90

prune57.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

simplify34.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	45	74
1	152	65
2	948	65
3	5001	65

prune39.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

7.0b	(- (exp x) 1.0)
7.1b	(log (exp (- (exp x) 1.0)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`prod-diff`
17×	`add-cube-cbrt`
14×	`log-prod`
11×	`exp-sum`
6×	`log-pow`
5×	`exp-prod`
4×	`add-log-exp`
3×	`pow1` `fma-neg`
2×	`add-exp-log` `expm1-log1p-u` `sub-neg` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip--`

Counts

2 → 59

Calls

2 calls:

12.0ms	(- (exp x) 1.0)
25.0ms	(log (exp (- (exp x) 1.0)))

series31.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(- (exp x) 1.0)
17.0ms	(log (exp (- (exp x) 1.0)))

simplify73.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	203	424
1	527	270
2	2233	209
3	5001	191

prune80.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp x))
0.0b	(cbrt (exp x))
0.0b	(cbrt (exp x))
7.0b	(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- 1.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`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`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

2.0ms	(cbrt (exp x))
2.0ms	(cbrt (exp x))
2.0ms	(cbrt (exp x))
0.0ms	(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- 1.0))

series452.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(cbrt (exp x))
82.0ms	(cbrt (exp x))
81.0ms	(cbrt (exp x))
209.0ms	(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- 1.0))

simplify113.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 4 (108.0ms)

Iter	Nodes	Cost
0	92	329
1	210	290
2	698	277
3	2977	254
4	5001	245

prune121.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes56.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3

end0.0ms

sample1.1s

Algorithm

intervals

Results

461.0ms	3370×	body	1280	valid
210.0ms	2594×	body	640	valid
95.0ms	12037×	pre	80	true
61.0ms	1249×	body	320	valid
45.0ms	4211×	body	80	valid
19.0ms	613×	body	160	valid