Details

sample702.0ms

Algorithm

intervals

Results

508.0ms	224×	body	10240	exit
58.0ms	74×	body	1280	valid
36.0ms	18×	body	160	valid
23.0ms	56×	body	640	valid
13.0ms	171×	body	80	nan
7.0ms	83×	body	80	valid
7.0ms	23×	body	320	valid
4.0ms	2×	body	2560	valid

simplify23.0ms

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: 35.4b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

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:

4.0ms	(cosh c)
1.0ms	(fmod (cosh c) (log1p a))

series148.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(cosh c)
62.0ms	(fmod (cosh c) (log1p a))

simplify4.1s

Counts

25 → 25

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	44	159
1	77	156
2	134	142
3	255	142
4	501	142
5	1117	142
6	3821	142
done	5002	142

prune162.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 35.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cosh c))
0.3b	(cbrt (cosh c))
0.3b	(cbrt (cosh c))
40.1b	(fmod (* (* (cbrt (cosh c)) (cbrt (cosh c))) (cbrt (cosh c))) (log1p a))

rewrite9.0ms

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:

2.0ms	(cbrt (cosh c))
2.0ms	(cbrt (cosh c))
2.0ms	(cbrt (cosh c))
1.0ms	(fmod (* (* (cbrt (cosh c)) (cbrt (cosh c))) (cbrt (cosh c))) (log1p a))

series744.0ms

Counts

4 → 12

Calls

4 calls:

277.0ms	(cbrt (cosh c))
230.0ms	(cbrt (cosh c))
230.0ms	(cbrt (cosh c))
7.0ms	(fmod (* (* (cbrt (cosh c)) (cbrt (cosh c))) (cbrt (cosh c))) (log1p a))

simplify5.3s

Counts

63 → 63

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	56	543
1	96	528
2	154	422
3	257	380
4	498	380
5	872	380
6	1775	380
7	4997	380
done	5000	380

prune301.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 35.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh c)
0.0b	(cbrt (pow (cosh c) 3))
0.0b	(pow (cosh c) 3)
40.1b	(fmod (cbrt (pow (cosh c) 3)) (log1p a))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `cosh-def`
2×	`cube-div` `cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 69

Calls

4 calls:

3.0ms	(cosh c)
5.0ms	(cbrt (pow (cosh c) 3))
8.0ms	(pow (cosh c) 3)
1.0ms	(fmod (cbrt (pow (cosh c) 3)) (log1p a))

series241.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(cosh c)
65.0ms	(cbrt (pow (cosh c) 3))
97.0ms	(pow (cosh c) 3)
4.0ms	(fmod (cbrt (pow (cosh c) 3)) (log1p a))

simplify3.1s

Counts

81 → 81

Iterations

Useful iterations: 3 (772.0ms)

Iter	Nodes	Cost
0	101	672
1	199	478
2	470	453
3	2695	445
done	5001	445

prune269.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 35.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (cosh c) 3)
0.3b	(cbrt (sqrt (pow (cosh c) 3)))
0.3b	(cbrt (sqrt (pow (cosh c) 3)))
40.1b	(fmod (* (cbrt (sqrt (pow (cosh c) 3))) (cbrt (sqrt (pow (cosh c) 3)))) (log1p a))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
24×	`sqrt-prod`
15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cube-div` `cube-mult` `pow-unpow` `cosh-def` `unpow3` `sqr-pow`
2×	`cbrt-div` `pow1/3` `sqrt-div`
1×	`pow-to-exp` `pow-pow` `pow-exp` `rem-cube-cbrt`

Counts

4 → 87

Calls

4 calls:

5.0ms	(pow (cosh c) 3)
7.0ms	(cbrt (sqrt (pow (cosh c) 3)))
7.0ms	(cbrt (sqrt (pow (cosh c) 3)))
1.0ms	(fmod (* (cbrt (sqrt (pow (cosh c) 3))) (cbrt (sqrt (pow (cosh c) 3)))) (log1p a))

series301.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(pow (cosh c) 3)
109.0ms	(cbrt (sqrt (pow (cosh c) 3)))
85.0ms	(cbrt (sqrt (pow (cosh c) 3)))
4.0ms	(fmod (* (cbrt (sqrt (pow (cosh c) 3))) (cbrt (sqrt (pow (cosh c) 3)))) (log1p a))

simplify3.5s

Counts

99 → 99

Iterations

Useful iterations: 3 (812.0ms)

Iter	Nodes	Cost
0	119	1124
1	212	965
2	480	901
3	2728	881
done	5000	881

prune451.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 34.6b

regimes440.0ms

Accuracy

0% (0.8b remaining)

Error of 34.3b against oracle of 33.6b and baseline of 34.3b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	20
1	21	20
done	21	20

end0.0ms

sample18.7s

Algorithm

intervals

Results

13.9s	7695×	body	10240	exit
1.8s	2311×	body	1280	valid
688.0ms	1592×	body	640	valid
424.0ms	5190×	body	80	nan
335.0ms	2734×	body	80	valid
273.0ms	150×	body	2560	valid
210.0ms	777×	body	320	valid
120.0ms	425×	body	160	valid
26.0ms	11×	body	5120	valid