Details

sample371.0ms

Algorithm

intervals

Results

276.0ms	239×	body	10240	exit
32.0ms	64×	body	1280	valid
15.0ms	56×	body	640	valid
9.0ms	167×	body	80	nan
7.0ms	90×	body	80	valid
6.0ms	5×	body	2560	valid
4.0ms	25×	body	320	valid
3.0ms	16×	body	160	valid

simplify223.0ms

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: 33.7b

localize6.0ms

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` `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))

series51.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify139.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (24.0ms)

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

prune85.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 33.6b

localize8.0ms

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))

rewrite14.0ms

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×	`expm1-log1p-u` `sqrt-div` `log1p-expm1-u` `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 → 83

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))

series135.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cosh c)
47.0ms	(cosh c)
43.0ms	(* (sqrt (cosh c)) (sqrt (cosh c)))
2.0ms	(fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))

simplify34.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	168	387
1	673	339
2	5002	301

prune219.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 33.6b

localize14.0ms

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` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `cosh-def` `pow1/3`

Counts

4 → 51

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))

series441.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(cbrt (cosh c))
145.0ms	(cbrt (cosh c))
148.0ms	(cbrt (cosh c))
3.0ms	(fmod (* (sqrt (* (cbrt (cosh c)) (cbrt (cosh c)))) (* (sqrt (cbrt (cosh c))) (sqrt (cosh c)))) (log1p a))

simplify142.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 4 (137.0ms)

Iter	Nodes	Cost
0	109	435
1	218	386
2	613	356
3	3247	356
4	5001	353

prune247.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 83

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))

series154.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(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))

simplify140.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (128.0ms)

Iter	Nodes	Cost
0	184	1647
1	619	1416
2	3217	1313
3	5001	1235

prune307.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 33.6b

regimes375.0ms

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

sample11.3s

Algorithm

intervals

Results

8.4s	7571×	body	10240	exit
1.2s	2288×	body	1280	valid
436.0ms	1602×	body	640	valid
263.0ms	5291×	body	80	nan
208.0ms	2771×	body	80	valid
153.0ms	128×	body	2560	valid
135.0ms	783×	body	320	valid
61.0ms	418×	body	160	valid
17.0ms	10×	body	5120	valid