Details

sample369.0ms

Algorithm

intervals

Results

275.0ms	274×	body	10240	exit
39.0ms	89×	body	1280	valid
9.0ms	41×	body	640	valid
8.0ms	7×	body	2560	valid
5.0ms	196×	body	80	nan
4.0ms	84×	body	80	valid
3.0ms	23×	body	320	valid
1.0ms	12×	body	160	valid

simplify225.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(cosh c)
39.8b	(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)
0.0ms	(fmod (cosh c) (log1p a))

series42.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(cosh c)
2.0ms	(fmod (cosh c) (log1p a))

simplify135.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (22.0ms)

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

prune83.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 35.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh c)
0.0b	(log1p (cosh c))
0.0b	(expm1 (log1p (cosh c)))
40.1b	(fmod (expm1 (log1p (cosh c))) (log1p a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`expm1-log1p-u`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`log1p-udef` `expm1-log1p` `cosh-def` `log1p-expm1` `expm1-udef`

Counts

4 → 41

Calls

4 calls:

1.0ms	(cosh c)
0.0ms	(log1p (cosh c))
0.0ms	(expm1 (log1p (cosh c)))
0.0ms	(fmod (expm1 (log1p (cosh c))) (log1p a))

series276.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(cosh c)
100.0ms	(log1p (cosh c))
134.0ms	(expm1 (log1p (cosh c)))
3.0ms	(fmod (expm1 (log1p (cosh c))) (log1p a))

simplify165.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	136	229
1	275	206
2	832	178
3	4741	174
4	5001	174

prune156.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 33.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.9b	(sqrt (log1p (cosh c)))
0.9b	(sqrt (log1p (cosh c)))
1.0b	(* (sqrt (log1p (cosh c))) (sqrt (log1p (cosh c))))
40.1b	(fmod (expm1 (* (sqrt (log1p (cosh c))) (sqrt (log1p (cosh c))))) (log1p a))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`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×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 90

Calls

4 calls:

1.0ms	(sqrt (log1p (cosh c)))
1.0ms	(sqrt (log1p (cosh c)))
13.0ms	(* (sqrt (log1p (cosh c))) (sqrt (log1p (cosh c))))
0.0ms	(fmod (expm1 (* (sqrt (log1p (cosh c))) (sqrt (log1p (cosh c))))) (log1p a))

series366.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(sqrt (log1p (cosh c)))
133.0ms	(sqrt (log1p (cosh c)))
98.0ms	(* (sqrt (log1p (cosh c))) (sqrt (log1p (cosh c))))
3.0ms	(fmod (expm1 (* (sqrt (log1p (cosh c))) (sqrt (log1p (cosh c))))) (log1p a))

simplify163.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	210	635
1	770	557
2	4110	499
3	5001	499

prune260.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 33.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.9b	(sqrt (log1p (cosh c)))
1.0b	(* (sqrt (log1p (cosh c))) (sqrt (log1p (cosh c))))
18.9b	(log (fmod (expm1 (* (sqrt (log1p (cosh c))) (sqrt (log1p (cosh c))))) (log1p a)))
40.1b	(fmod (expm1 (* (sqrt (log1p (cosh c))) (sqrt (log1p (cosh c))))) (log1p a))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

1.0ms	(sqrt (log1p (cosh c)))
13.0ms	(* (sqrt (log1p (cosh c))) (sqrt (log1p (cosh c))))
1.0ms	(log (fmod (expm1 (* (sqrt (log1p (cosh c))) (sqrt (log1p (cosh c))))) (log1p a)))
0.0ms	(fmod (expm1 (* (sqrt (log1p (cosh c))) (sqrt (log1p (cosh c))))) (log1p a))

series252.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(sqrt (log1p (cosh c)))
100.0ms	(* (sqrt (log1p (cosh c))) (sqrt (log1p (cosh c))))
20.0ms	(log (fmod (expm1 (* (sqrt (log1p (cosh c))) (sqrt (log1p (cosh c))))) (log1p a)))
3.0ms	(fmod (expm1 (* (sqrt (log1p (cosh c))) (sqrt (log1p (cosh c))))) (log1p a))

simplify167.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	226	754
1	788	640
2	4167	596
3	5001	596

prune259.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 33.5b

regimes384.0ms

Accuracy

0% (1.6b remaining)

Error of 34.8b against oracle of 33.2b and baseline of 34.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	15	39

end0.0ms

sample10.4s

Algorithm

intervals

Results

7.9s	7780×	body	10240	exit
1.0s	2353×	body	1280	valid
351.0ms	1621×	body	640	valid
163.0ms	154×	body	2560	valid
146.0ms	5284×	body	80	nan
107.0ms	2692×	body	80	valid
96.0ms	759×	body	320	valid
38.0ms	413×	body	160	valid
13.0ms	8×	body	5120	valid