Details

sample693.0ms

Algorithm

intervals

Results

541.0ms	271×	body	10240	exit
55.0ms	69×	body	1280	valid
21.0ms	53×	body	640	valid
9.0ms	146×	body	80	nan
8.0ms	95×	body	80	valid
7.0ms	3×	body	2560	valid
5.0ms	23×	body	320	valid
2.0ms	12×	body	160	valid
1.0ms	1×	body	5120	valid

simplify15.0ms

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: 33.4b

localize48.0ms

Local error

Found 2 expressions with local error:

0.0b	(log1p a)
37.8b	(fmod (cosh c) (log1p a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`expm1-log1p-u`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`log1p-udef` `log1p-expm1`

Counts

2 → 20

Calls

2 calls:

3.0ms	(log1p a)
1.0ms	(fmod (cosh c) (log1p a))

series67.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(log1p a)
22.0ms	(fmod (cosh c) (log1p a))

simplify1.7s

Counts

26 → 26

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	48	174
1	167	169
done	5000	152

prune157.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 32.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
37.8b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite10.0ms

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×	`pow1/3`

Counts

4 → 48

Calls

4 calls:

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

series205.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(cbrt (log1p a))
76.0ms	(cbrt (log1p a))
69.0ms	(cbrt (log1p a))
4.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify1.5s

Counts

60 → 60

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	89	876
1	390	810
done	5001	590

prune449.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 31.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (cbrt (log1p a)))
37.8b	(fmod (cosh c) (* (* (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
8×	`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×	`pow1/3`

Counts

4 → 51

Calls

4 calls:

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

series230.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(cbrt (log1p a))
81.0ms	(cbrt (log1p a))
77.0ms	(cbrt (cbrt (log1p a)))
14.0ms	(fmod (cosh c) (* (* (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

simplify1.5s

Counts

63 → 63

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	153	1045
1	706	988
done	5000	836

prune516.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 31.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (log1p a)))
0.6b	(cbrt (cbrt (log1p a)))
0.6b	(cbrt (cbrt (log1p a)))
37.8b	(fmod (cosh c) (* (* (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (* (* (cbrt (cbrt (cbrt (log1p a)))) (cbrt (cbrt (cbrt (log1p a))))) (cbrt (cbrt (cbrt (log1p a)))))) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
10×	`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×	`pow1/3`

Counts

4 → 57

Calls

4 calls:

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

series230.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(cbrt (cbrt (log1p a)))
68.0ms	(cbrt (cbrt (log1p a)))
66.0ms	(cbrt (cbrt (log1p a)))
5.0ms	(fmod (cosh c) (* (* (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (* (* (cbrt (cbrt (cbrt (log1p a)))) (cbrt (cbrt (cbrt (log1p a))))) (cbrt (cbrt (cbrt (log1p a)))))) (cbrt (log1p a))) (cbrt (log1p a))))

simplify1.3s

Counts

69 → 69

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	102	1299
1	398	1260
done	5001	948

prune536.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 30.9b

regimes1.3s

Accuracy

0% (1.9b remaining)

Error of 33.9b against oracle of 32.0b and baseline of 33.9b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	35
1	19	35
done	19	35

end0.0ms

sample19.9s

Algorithm

intervals

Results

13.9s	7854×	body	10240	exit
2.5s	2360×	body	1280	valid
706.0ms	1594×	body	640	valid
671.0ms	2759×	body	80	valid
411.0ms	5226×	body	80	nan
306.0ms	156×	body	2560	valid
215.0ms	762×	body	320	valid
98.0ms	360×	body	160	valid
23.0ms	9×	body	5120	valid