Details

sample326.0ms

Algorithm

intervals

Results

246.0ms	258×	body	10240	exit
29.0ms	64×	body	1280	valid
10.0ms	48×	body	640	valid
8.0ms	5×	body	2560	valid
6.0ms	173×	body	80	nan
4.0ms	97×	body	80	valid
4.0ms	31×	body	320	valid
1.0ms	11×	body	160	valid

simplify221.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	14	3
2	16	3
3	18	3
4	19	3
5	24	3
6	44	3
7	69	3
8	169	3
9	1127	3
10	5002	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 32.4b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(cosh c)
36.7b	(fmod (cosh c) (log1p a))

rewrite2.0ms

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` `log1p-expm1-u` `add-log-exp`
1×	`cosh-def`

Counts

2 → 19

Calls

2 calls:

1.0ms	(cosh c)
1.0ms	(fmod (cosh c) (log1p a))

series47.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(cosh c)
2.0ms	(fmod (cosh c) (log1p a))

simplify141.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	82	99
1	173	89
2	590	81
3	3626	79
4	5001	79

prune80.0ms

Filtered

25 candidates to 20 candidates (80.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	17	8	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	18	8	26

Merged error: 32.3b

Counts

26 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh c)
0.5b	(exp (log (fmod (cosh c) (log1p a))))
2.3b	(log (fmod (cosh c) (log1p a)))
36.7b	(fmod (cosh c) (log1p a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

1.0ms	(cosh c)
2.0ms	(exp (log (fmod (cosh c) (log1p a))))
1.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series71.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(cosh c)
2.0ms	(exp (log (fmod (cosh c) (log1p a))))
20.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify148.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (25.0ms)

Iter	Nodes	Cost
0	119	302
1	237	271
2	700	257
3	4121	249
4	5001	249

prune194.0ms

Filtered

63 candidates to 41 candidates (65.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	52	11	63
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	56	15	71

Merged error: 32.3b

Counts

71 → 15

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh c)
0.7b	(pow E (log (fmod (cosh c) (log1p a))))
2.3b	(log (fmod (cosh c) (log1p a)))
36.7b	(fmod (cosh c) (log1p a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `log-prod`
4×	`expm1-log1p-u` `pow-unpow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-up` `unpow-prod-down`
2×	`pow-exp` `log-pow`
1×	`pow-to-exp` `e-exp-1` `cosh-def` `pow-pow` `rem-log-exp` `sqr-pow`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cosh c)
2.0ms	(pow E (log (fmod (cosh c) (log1p a))))
1.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series109.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(cosh c)
45.0ms	(pow E (log (fmod (cosh c) (log1p a))))
19.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify67.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	166	390
1	503	337
2	1910	326
3	5002	314

prune223.0ms

Filtered

69 candidates to 45 candidates (65.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	58	11	69
Fresh	7	7	14
Picked	1	0	1
Done	0	0	0
Total	66	18	84

Merged error: 32.3b

Counts

84 → 18

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (pow (log (fmod (cosh c) (log1p a))) 3))
0.7b	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
2.3b	(log (fmod (cosh c) (log1p a)))
36.7b	(fmod (cosh c) (log1p a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
18×	`pow-unpow`
14×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`unpow-prod-down`
10×	`pow1`
8×	`cube-prod`
6×	`add-exp-log`
5×	`log-pow`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `sqr-pow`
2×	`cube-mult` `unpow3` `pow-exp` `rem-cbrt-cube`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `pow1/3` `rem-log-exp`

Counts

4 → 83

Calls

4 calls:

3.0ms	(cbrt (pow (log (fmod (cosh c) (log1p a))) 3))
4.0ms	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
1.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series85.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(cbrt (pow (log (fmod (cosh c) (log1p a))) 3))
42.0ms	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
22.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify73.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	181	617
1	544	555
2	2604	555
3	5001	543

prune223.0ms

Filtered

95 candidates to 52 candidates (54.7%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	88	7	95
Fresh	0	17	17
Picked	1	0	1
Done	0	0	0
Total	89	24	113

Merged error: 32.3b

Counts

113 → 24

regimes492.0ms

Accuracy

0% (0.1b remaining)

Error of 34.7b against oracle of 34.6b and baseline of 34.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	13
1	18	13
2	18	13

end0.0ms

sample10.1s

Algorithm

intervals

Results

7.7s	7627×	body	10240	exit
1.1s	2347×	body	1280	valid
350.0ms	1597×	body	640	valid
170.0ms	152×	body	2560	valid
154.0ms	5183×	body	80	nan
119.0ms	2693×	body	80	valid
102.0ms	776×	body	320	valid
43.0ms	430×	body	160	valid
7.0ms	5×	body	5120	valid