Details

sample42.0ms

Algorithm

intervals

Results

16.0ms	117×	body	1280	valid
6.0ms	70×	body	640	valid
4.0ms	144×	body	80	valid
3.0ms	396×	pre	80	true
2.0ms	47×	body	320	valid
1.0ms	18×	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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.2b

localize3.0ms

Local error

Found 1 expressions with local error:

4.3b	(- (exp x) 1.0)

rewrite12.0ms

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:

11.0ms

(- (exp x) 1.0)

series15.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(- (exp x) 1.0)

simplify63.0ms

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

prune51.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

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

series104.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(fma 1/6 (pow x 3) x)
30.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

simplify39.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	55	118
1	186	104
2	1137	104
3	5001	104

prune65.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1/6 (pow x 3) x)
0.0b	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
3.1b	(exp (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `exp-prod`
3×	`add-exp-log` `expm1-log1p-u` `log-prod` `exp-sum` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`log-pow` `rem-exp-log`

Counts

3 → 37

Calls

3 calls:

0.0ms	(fma 1/6 (pow x 3) x)
0.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
3.0ms	(exp (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

series136.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(fma 1/6 (pow x 3) x)
32.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
27.0ms	(exp (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

simplify42.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	89	241
1	239	218
2	1223	209
3	5001	203

prune111.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1/6 (pow x 3) x)
0.0b	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
3.4b	(pow E (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `pow-unpow`
3×	`unpow-prod-up` `expm1-log1p-u` `unpow-prod-down` `log-prod` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-exp` `fma-udef`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `log-pow` `sqr-pow`

Counts

3 → 44

Calls

3 calls:

0.0ms	(fma 1/6 (pow x 3) x)
0.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
4.0ms	(pow E (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

series174.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(fma 1/6 (pow x 3) x)
33.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
65.0ms	(pow E (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

simplify83.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	203	377
1	603	356
2	2819	339
3	5001	305

prune136.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes14.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4

end0.0ms

sample1.1s

Algorithm

intervals

Results

478.0ms	3442×	body	1280	valid
215.0ms	2516×	body	640	valid
89.0ms	11820×	pre	80	true
61.0ms	1226×	body	320	valid
45.0ms	4005×	body	80	valid
20.0ms	631×	body	160	valid