Details

sample379.0ms

Algorithm

intervals

Results

293.0ms	288×	body	10240	exit
35.0ms	77×	body	1280	valid
11.0ms	53×	body	640	valid
7.0ms	7×	body	2560	valid
5.0ms	178×	body	80	nan
4.0ms	34×	body	320	valid
3.0ms	77×	body	80	valid
1.0ms	8×	body	160	valid

simplify220.0ms

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	43	3
7	64	3
8	154	3
9	1044	3
10	5001	3

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(cosh c)
41.6b	(fmod (cosh c) (log1p a))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
1×	`cosh-def`

Counts

2 → 15

Calls

2 calls:

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

series53.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(cosh c)
2.0ms	(fmod (cosh c) (log1p a))

simplify137.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	76	89
1	159	79
2	542	71
3	3481	69
4	5001	69

prune71.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 36.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh c)
0.0b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
41.6b	(fmod (cosh c) (log1p a))
41.6b	(fmod (cosh c) (log1p a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`pow1`
18×	`sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
1×	`pow2` `cosh-def` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 71

Calls

4 calls:

0.0ms	(cosh c)
7.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series55.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(cosh c)
2.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify141.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (136.0ms)

Iter	Nodes	Cost
0	149	445
1	553	385
2	3147	355
3	5001	337

prune201.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 36.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (cosh c)) (sqrt (cosh c)))
0.0b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))))
41.6b	(fmod (cosh c) (log1p a))
41.6b	(fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
28×	`sqrt-prod`
23×	`pow1`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-r` `associate-l`
10×	`sqrt-pow1` `pow1/2`
8×	`add-exp-log` `swap-sqr` `add-cbrt-cube` `unswap-sqr`
6×	`pow-prod-down`
5×	`pow-prod-up`
4×	`cosh-def` `sqrt-div` `add-log-exp`
3×	`pow-sqr`
2×	`sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `rem-square-sqrt`

Counts

4 → 96

Calls

4 calls:

8.0ms	(* (sqrt (cosh c)) (sqrt (cosh c)))
7.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))

series56.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (sqrt (cosh c)) (sqrt (cosh c)))
2.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))

simplify41.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	228	648
1	847	471
2	5001	424

prune260.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 36.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3) (sqrt (sqrt (fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a)))))
0.0b	(pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3)
41.6b	(fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))
41.6b	(fmod (cosh c) (log1p a))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

87×	`sqrt-prod`
66×	`add-sqr-sqrt`
27×	`unpow-prod-down` `cube-prod`
24×	`associate-l` `unswap-sqr`
21×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log`
9×	`associate-r`
7×	`pow1` `add-cbrt-cube`
5×	`pow-pow` `sqr-pow`
4×	`sqrt-pow1` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `pow1/2` `unpow3` `pow-exp`
1×	`*-commutative` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 123

Calls

4 calls:

21.0ms	(* (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3) (sqrt (sqrt (fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a)))))
4.0ms	(pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3)
0.0ms	(fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series69.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3) (sqrt (sqrt (fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a)))))
62.0ms	(pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3)
2.0ms	(fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify53.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	258	2021
1	1091	1159
2	5001	946

prune292.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 36.3b

regimes486.0ms

Accuracy

0% (0.1b remaining)

Error of 34.2b against oracle of 34.1b and baseline of 34.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	12	13

end0.0ms

sample10.3s

Algorithm

intervals

Results

7.9s	7662×	body	10240	exit
1.0s	2252×	body	1280	valid
362.0ms	1645×	body	640	valid
162.0ms	147×	body	2560	valid
151.0ms	5169×	body	80	nan
119.0ms	2774×	body	80	valid
107.0ms	774×	body	320	valid
39.0ms	400×	body	160	valid
13.0ms	8×	body	5120	valid