Details

sample623.0ms

Algorithm

intervals

Results

479.0ms	255×	body	10240	exit
52.0ms	78×	body	1280	valid
23.0ms	60×	body	640	valid
10.0ms	181×	body	80	nan
7.0ms	81×	body	80	valid
5.0ms	23×	body	320	valid
2.0ms	1×	body	2560	valid
2.0ms	13×	body	160	valid

simplify172.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	5
1	11	5
2	14	5
3	16	5
done	16	5

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.5b

localize20.0ms

Local error

Found 1 expressions with local error:

40.6b

(fmod (cosh c) (log1p a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 7

Calls

1 calls:

2.0ms

(fmod (cosh c) (log1p a))

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(fmod (cosh c) (log1p a))

simplify2.1s

Counts

10 → 10

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	12	75
1	19	75
2	24	65
3	30	65
4	36	65
5	46	65
6	67	65
7	145	65
8	430	65
9	1839	65
done	5001	65

prune38.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 35.5b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fmod (cosh c) (log1p a)))
0.0b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
40.6b	(fmod (cosh c) (log1p a))
40.6b	(fmod (cosh c) (log1p a))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`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` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 76

Calls

4 calls:

2.0ms	(sqrt (fmod (cosh c) (log1p a)))
29.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
1.0ms	(fmod (cosh c) (log1p a))
1.0ms	(fmod (cosh c) (log1p a))

series39.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(sqrt (fmod (cosh c) (log1p a)))
6.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
6.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))

simplify6.9s

Counts

88 → 88

Iterations

Useful iterations: 5 (3.9s)

Iter	Nodes	Cost
0	57	1112
1	92	726
2	204	648
3	392	621
4	827	597
5	4783	585
done	5001	585

prune270.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 35.5b

localize17.0ms

Local error

Found 3 expressions with local error:

0.5b	(exp (log (fmod (cosh c) (log1p a))))
1.1b	(log (fmod (cosh c) (log1p a)))
40.6b	(fmod (cosh c) (log1p a))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `exp-prod`
3×	`exp-sum` `add-cbrt-cube` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 34

Calls

3 calls:

8.0ms	(exp (log (fmod (cosh c) (log1p a))))
3.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series48.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(exp (log (fmod (cosh c) (log1p a))))
39.0ms	(log (fmod (cosh c) (log1p a)))
6.0ms	(fmod (cosh c) (log1p a))

simplify4.6s

Counts

43 → 43

Iterations

Useful iterations: 4 (63.0ms)

Iter	Nodes	Cost
0	38	384
1	54	347
2	68	301
3	86	301
4	126	295
5	210	295
6	425	295
7	1201	295
8	4492	295
done	5000	295

prune238.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 35.5b

localize19.0ms

Local error

Found 3 expressions with local error:

0.6b	(pow E (log (fmod (cosh c) (log1p a))))
1.1b	(log (fmod (cosh c) (log1p a)))
40.6b	(fmod (cosh c) (log1p a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `log-prod`
5×	`add-exp-log`
4×	`pow-unpow`
3×	`unpow-prod-up` `unpow-prod-down` `add-cbrt-cube` `add-log-exp`
2×	`pow-exp` `log-pow`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `rem-log-exp` `sqr-pow`

Counts

3 → 41

Calls

3 calls:

4.0ms	(pow E (log (fmod (cosh c) (log1p a))))
1.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series97.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(pow E (log (fmod (cosh c) (log1p a))))
32.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

simplify2.0s

Counts

50 → 50

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	53	513
1	102	478
2	203	408
3	505	408
4	1525	406
done	5000	394

prune164.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 35.4b

regimes590.0ms

Accuracy

0% (0.0b remaining)

Error of 34.6b against oracle of 34.6b and baseline of 34.6b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	11
1	13	11
2	15	11
done	15	11

end0.0ms

sample18.8s

Algorithm

intervals

Results

13.2s	7814×	body	10240	exit
2.1s	2367×	body	1280	valid
940.0ms	5240×	body	80	nan
687.0ms	1566×	body	640	valid
237.0ms	123×	body	2560	valid
236.0ms	2710×	body	80	valid
223.0ms	813×	body	320	valid
110.0ms	409×	body	160	valid
26.0ms	12×	body	5120	valid