Details

sample40.0ms

Algorithm

intervals

Results

18.0ms	122×	body	1280	valid
6.0ms	76×	body	640	valid
4.0ms	390×	pre	80	true
2.0ms	34×	body	320	valid
2.0ms	144×	body	80	valid
0.0ms	14×	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: 57.9b

localize3.0ms

Local error

Found 1 expressions with local error:

3.5b	(- (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)

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

(- (exp x) 1.0)

simplify64.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (60.0ms)

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

prune59.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

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))

series90.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(fma 1/6 (pow x 3) x)
23.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

simplify40.0ms

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

prune92.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))) (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
0.6b	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.6b	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.6b	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

11.0ms	(* (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))) (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
1.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
1.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
1.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))

series219.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))) (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
55.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
51.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
55.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))

simplify176.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	268	1098
1	922	1018
2	4660	940
3	5001	940

prune762.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
2.8b	(pow x 2/3)
17.0b	(pow (pow x 8) 1/3)
39.8b	(pow (pow x 5) 1/3)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

23×	`unpow-prod-down`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `pow-unpow` `pow-exp`
5×	`pow1` `pow-to-exp` `sqr-pow`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-pow`
2×	`unpow1/3`
1×	`pow1/3`

Counts

4 → 84

Calls

4 calls:

1.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
2.0ms	(pow x 2/3)
5.0ms	(pow (pow x 8) 1/3)
5.0ms	(pow (pow x 5) 1/3)

series579.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
154.0ms	(pow x 2/3)
179.0ms	(pow (pow x 8) 1/3)
190.0ms	(pow (pow x 5) 1/3)

simplify44.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	413	416
1	1284	377
2	5001	369

prune528.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes105.0ms

Accuracy

0% (0.4b 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	9	4

end0.0ms

sample1.1s

Algorithm

intervals

Results

489.0ms	3449×	body	1280	valid
212.0ms	2540×	body	640	valid
96.0ms	11971×	pre	80	true
61.0ms	1208×	body	320	valid
49.0ms	4151×	body	80	valid
20.0ms	623×	body	160	valid