Details

sample548.0ms

Algorithm

intervals

Results

414.0ms	224×	body	10240	exit
50.0ms	74×	body	1280	valid
20.0ms	56×	body	640	valid
9.0ms	171×	body	80	nan
6.0ms	83×	body	80	valid
5.0ms	23×	body	320	valid
4.0ms	2×	body	2560	valid
3.0ms	18×	body	160	valid

simplify16.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.4b

localize53.0ms

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` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
1×	`cosh-def`

Counts

2 → 15

Calls

2 calls:

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

series79.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(cosh c)
21.0ms	(fmod (cosh c) (log1p a))

simplify3.9s

Counts

21 → 21

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	40	141
1	71	140
2	121	126
3	223	126
4	434	126
5	1001	126
6	3580	126
done	5000	126

prune157.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 35.3b

localize28.0ms

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))

rewrite8.0ms

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:

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))

series741.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(cbrt (cosh c))
235.0ms	(cbrt (cosh c))
258.0ms	(cbrt (cosh c))
6.0ms	(fmod (* (* (cbrt (cosh c)) (cbrt (cosh c))) (cbrt (cosh c))) (log1p a))

simplify5.2s

Counts

55 → 55

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	52	489
1	91	477
2	142	383
3	234	350
4	416	350
5	698	350
6	1508	350
7	4589	350
done	5001	350

prune295.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 35.3b

localize12.0ms

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))

rewrite9.0ms

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×	`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 → 61

Calls

4 calls:

1.0ms	(cosh c)
3.0ms	(cbrt (pow (cosh c) 3))
4.0ms	(pow (cosh c) 3)
0.0ms	(fmod (cbrt (pow (cosh c) 3)) (log1p a))

series286.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(cosh c)
83.0ms	(cbrt (pow (cosh c) 3))
110.0ms	(pow (cosh c) 3)
3.0ms	(fmod (cbrt (pow (cosh c) 3)) (log1p a))

simplify3.1s

Counts

73 → 73

Iterations

Useful iterations: 3 (832.0ms)

Iter	Nodes	Cost
0	93	626
1	186	450
2	445	425
3	2645	417
done	5000	417

prune280.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 35.3b

localize17.0ms

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))

rewrite25.0ms

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×	`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 → 79

Calls

4 calls:

6.0ms	(pow (cosh c) 3)
7.0ms	(cbrt (sqrt (pow (cosh c) 3)))
6.0ms	(cbrt (sqrt (pow (cosh c) 3)))
0.0ms	(fmod (* (cbrt (sqrt (pow (cosh c) 3))) (cbrt (sqrt (pow (cosh c) 3)))) (log1p a))

series345.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(pow (cosh c) 3)
114.0ms	(cbrt (sqrt (pow (cosh c) 3)))
110.0ms	(cbrt (sqrt (pow (cosh c) 3)))
7.0ms	(fmod (* (cbrt (sqrt (pow (cosh c) 3))) (cbrt (sqrt (pow (cosh c) 3)))) (log1p a))

simplify3.5s

Counts

91 → 91

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	113	1052
1	202	897
2	463	833
3	2652	815
done	5000	815

prune415.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 34.6b

regimes506.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample18.7s

Algorithm

intervals

Results

13.6s	7695×	body	10240	exit
2.3s	2311×	body	1280	valid
730.0ms	1592×	body	640	valid
307.0ms	2734×	body	80	valid
271.0ms	5190×	body	80	nan
253.0ms	150×	body	2560	valid
200.0ms	777×	body	320	valid
110.0ms	425×	body	160	valid
25.0ms	11×	body	5120	valid