Details

sample40.0ms

Algorithm

intervals

Results

15.0ms	108×	body	1280	valid
7.0ms	71×	body	640	valid
3.0ms	345×	pre	80	true
2.0ms	42×	body	320	valid
1.0ms	98×	body	80	valid
1.0ms	26×	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: 57.5b

localize4.0ms

Local error

Found 1 expressions with local error:

5.9b	(- (exp x) 1.0)

rewrite16.0ms

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:

15.0ms

(- (exp x) 1.0)

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(- (exp x) 1.0)

simplify61.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (58.0ms)

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

prune55.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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))

simplify33.0ms

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

prune40.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.0b	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
0.0b	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
0.3b	(* (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))) (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`fma-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

1.0ms	(sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
0.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
13.0ms	(* (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))) (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

series130.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
25.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
25.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
29.0ms	(* (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))) (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

simplify38.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	179	658
1	731	573
2	5001	544

prune214.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

5.9b	(log (exp (- (exp x) 1.0)))
5.9b	(- (exp x) 1.0)

rewrite42.0ms

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:

29.0ms	(log (exp (- (exp x) 1.0)))
12.0ms	(- (exp x) 1.0)

series27.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify70.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	203	424
1	525	270
2	2250	209
3	5001	191

prune81.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes78.0ms

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

sample1.2s

Algorithm

intervals

Results

507.0ms	3394×	body	1280	valid
224.0ms	2477×	body	640	valid
108.0ms	11856×	pre	80	true
73.0ms	1300×	body	320	valid
52.0ms	4066×	body	80	valid
22.0ms	619×	body	160	valid