Details

sample368.0ms

Algorithm

intervals

Results

271.0ms	239×	body	10240	exit
35.0ms	64×	body	1280	valid
14.0ms	56×	body	640	valid
9.0ms	167×	body	80	nan
8.0ms	90×	body	80	valid
5.0ms	5×	body	2560	valid
4.0ms	25×	body	320	valid
3.0ms	16×	body	160	valid

simplify219.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(cosh c)
38.3b	(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))

series47.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(cosh c)
2.0ms	(fmod (cosh c) (log1p a))

simplify137.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (22.0ms)

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

prune71.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 33.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh c)
0.0b	(cosh c)
0.0b	(* (sqrt (cosh c)) (sqrt (cosh c)))
38.3b	(fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))

rewrite11.0ms

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` `cosh-def` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`sqrt-div` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
1×	`pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 75

Calls

4 calls:

0.0ms	(cosh c)
1.0ms	(cosh c)
8.0ms	(* (sqrt (cosh c)) (sqrt (cosh c)))
0.0ms	(fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))

series137.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(cosh c)
47.0ms	(cosh c)
44.0ms	(* (sqrt (cosh c)) (sqrt (cosh c)))
2.0ms	(fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))

simplify34.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	160	365
1	643	317
2	5002	279

prune193.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 33.6b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (cosh c))
0.0b	(cbrt (cosh c))
0.0b	(cbrt (cosh c))
38.3b	(fmod (* (sqrt (* (cbrt (cosh c)) (cbrt (cosh c)))) (* (sqrt (cbrt (cosh c))) (sqrt (cosh c)))) (log1p a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-div` `cosh-def` `pow1/3`

Counts

4 → 43

Calls

4 calls:

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

series449.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (cosh c))
145.0ms	(cbrt (cosh c))
152.0ms	(cbrt (cosh c))
3.0ms	(fmod (* (sqrt (* (cbrt (cosh c)) (cbrt (cosh c)))) (* (sqrt (cbrt (cosh c))) (sqrt (cosh c)))) (log1p a))

simplify139.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (135.0ms)

Iter	Nodes	Cost
0	104	385
1	204	339
2	574	309
3	3097	309
4	5003	306

prune218.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 33.6b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (cosh c))
0.0b	(* (sqrt (fmod (* (sqrt (* (cbrt (cosh c)) (cbrt (cosh c)))) (* (sqrt (cbrt (cosh c))) (sqrt (cosh c)))) (log1p a))) (sqrt (fmod (* (sqrt (* (cbrt (cosh c)) (cbrt (cosh c)))) (* (sqrt (cbrt (cosh c))) (sqrt (cosh c)))) (log1p a))))
38.3b	(fmod (* (sqrt (* (cbrt (cosh c)) (cbrt (cosh c)))) (* (sqrt (cbrt (cosh c))) (sqrt (cosh c)))) (log1p a))
38.3b	(fmod (* (sqrt (* (cbrt (cosh c)) (cbrt (cosh c)))) (* (sqrt (cbrt (cosh c))) (sqrt (cosh c)))) (log1p a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
19×	`pow1`
18×	`sqrt-prod`
13×	`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×	`cbrt-prod` `pow-prod-down` `pow-sqr`
1×	`pow2` `cbrt-div` `cosh-def` `pow-plus` `pow1/3` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 75

Calls

4 calls:

1.0ms	(cbrt (cosh c))
7.0ms	(* (sqrt (fmod (* (sqrt (* (cbrt (cosh c)) (cbrt (cosh c)))) (* (sqrt (cbrt (cosh c))) (sqrt (cosh c)))) (log1p a))) (sqrt (fmod (* (sqrt (* (cbrt (cosh c)) (cbrt (cosh c)))) (* (sqrt (cbrt (cosh c))) (sqrt (cosh c)))) (log1p a))))
0.0ms	(fmod (* (sqrt (* (cbrt (cosh c)) (cbrt (cosh c)))) (* (sqrt (cbrt (cosh c))) (sqrt (cosh c)))) (log1p a))
0.0ms	(fmod (* (sqrt (* (cbrt (cosh c)) (cbrt (cosh c)))) (* (sqrt (cbrt (cosh c))) (sqrt (cosh c)))) (log1p a))

series157.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt (cosh c))
4.0ms	(* (sqrt (fmod (* (sqrt (* (cbrt (cosh c)) (cbrt (cosh c)))) (* (sqrt (cbrt (cosh c))) (sqrt (cosh c)))) (log1p a))) (sqrt (fmod (* (sqrt (* (cbrt (cosh c)) (cbrt (cosh c)))) (* (sqrt (cbrt (cosh c))) (sqrt (cosh c)))) (log1p a))))
3.0ms	(fmod (* (sqrt (* (cbrt (cosh c)) (cbrt (cosh c)))) (* (sqrt (cbrt (cosh c))) (sqrt (cosh c)))) (log1p a))
3.0ms	(fmod (* (sqrt (* (cbrt (cosh c)) (cbrt (cosh c)))) (* (sqrt (cbrt (cosh c))) (sqrt (cosh c)))) (log1p a))

simplify139.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (128.0ms)

Iter	Nodes	Cost
0	177	1545
1	589	1315
2	3113	1212
3	5002	1134

prune261.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 33.6b

regimes379.0ms

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	16	33
1	16	33

end0.0ms

sample11.2s

Algorithm

intervals

Results

8.3s	7571×	body	10240	exit
1.2s	2288×	body	1280	valid
428.0ms	1602×	body	640	valid
258.0ms	5291×	body	80	nan
205.0ms	2771×	body	80	valid
155.0ms	128×	body	2560	valid
135.0ms	783×	body	320	valid
60.0ms	418×	body	160	valid
17.0ms	10×	body	5120	valid