Details

sample989.0ms

Algorithm

intervals

Results

453.0ms	256×	body	10240	exit
164.0ms	103×	body	2560	valid
56.0ms	78×	body	1280	valid
22.0ms	519×	body	80	nan
17.0ms	43×	body	640	valid
6.0ms	21×	body	320	valid
2.0ms	10×	body	160	valid
1.0ms	2×	body	1280	nan
0.0ms	1×	body	640	nan
0.0ms	1×	body	80	valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	24	6
2	43	6
3	91	6
4	257	6
5	1277	6
6	5002	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.7b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
2.9b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.8b	(fmod (cosh a) (* a a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log`
3×	`expm1-log1p-u` `unpow-prod-down` `pow-unpow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin` `pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

3 → 38

Calls

3 calls:

4.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series66.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
9.0ms	(fmod (cosh a) (* a a))

simplify106.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	220	450
1	820	423
2	3551	413
3	5001	405

prune170.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 60.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
2.9b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.1b	(log (exp (fmod (cosh a) (* a a))))
59.8b	(fmod (cosh a) (* a a))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`log-pow`
7×	`pow1` `unpow-prod-down`
6×	`exp-prod`
5×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `log-prod`
1×	`acos-asin` `pow-to-exp` `pow-pow` `rem-log-exp` `pow-exp` `sqr-pow`

Counts

4 → 59

Calls

4 calls:

5.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
1.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
5.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series50.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
3.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))

simplify105.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	265	654
1	902	598
2	3697	588
3	5001	580

prune256.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 60.3b

localize20.0ms

Local error

Found 4 expressions with local error:

10.8b	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))
59.8b	(fmod (cosh a) (* a a))
59.8b	(fmod (cosh a) (* a a))
59.8b	(fmod (cosh a) (* a a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 43

Calls

4 calls:

3.0ms	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series134.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify166.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (35.0ms)

Iter	Nodes	Cost
0	61	413
1	114	342
2	274	337
3	731	331
4	3953	311
5	5001	311

prune283.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 60.3b

localize23.0ms

Local error

Found 4 expressions with local error:

59.8b	(fmod (cosh a) (* a a))
59.8b	(fmod (cosh a) (* a a))
59.8b	(fmod (cosh a) (* a a))
59.8b	(fmod (cosh a) (* a a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`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`

Counts

4 → 36

Calls

4 calls:

0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series8.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify61.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	25	228
1	42	200
2	94	200
3	232	200
4	1067	200
5	5001	200

prune271.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 60.3b

regimes232.0ms

Accuracy

0% (0.2b remaining)

Error of 60.1b against oracle of 59.9b and baseline of 60.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	35
1	16	35

end0.0ms

sample22.6s

Algorithm

intervals

Results

13.6s	7797×	body	10240	exit
5.0s	3175×	body	2560	valid
1.9s	2551×	body	1280	valid
699.0ms	15763×	body	80	nan
479.0ms	1223×	body	640	valid
166.0ms	616×	body	320	valid
64.0ms	318×	body	160	valid
15.0ms	117×	body	80	valid
13.0ms	6×	body	5120	nan
7.0ms	13×	body	1280	nan
3.0ms	3×	body	2560	nan
3.0ms	8×	body	640	nan
2.0ms	10×	body	160	nan
1.0ms	6×	body	320	nan