Details

sample586.0ms

Algorithm

intervals

Results

460.0ms	271×	body	10240	exit
46.0ms	69×	body	1280	valid
18.0ms	53×	body	640	valid
7.0ms	146×	body	80	nan
6.0ms	95×	body	80	valid
6.0ms	3×	body	2560	valid
5.0ms	23×	body	320	valid
2.0ms	12×	body	160	valid
1.0ms	1×	body	5120	valid

simplify46.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.4b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

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))

series61.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(log1p a)
18.0ms	(fmod (cosh c) (log1p a))

simplify4.5s

Counts

26 → 26

Iterations

Useful iterations: 4 (461.0ms)

Iter	Nodes	Cost
0	48	174
1	98	166
2	199	151
3	415	150
4	935	143
5	2364	143
done	5000	143

prune137.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 32.4b

localize12.0ms

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))))

rewrite7.0ms

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:

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

series236.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(cbrt (log1p a))
85.0ms	(cbrt (log1p a))
78.0ms	(cbrt (log1p a))
6.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify1.6s

Counts

60 → 60

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	89	876
1	217	816
2	540	665
3	1582	521
done	5000	506

prune405.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 31.7b

localize35.0ms

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 (log1p a)) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

rewrite6.0ms

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

series225.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(cbrt (log1p a))
77.0ms	(cbrt (log1p a))
74.0ms	(cbrt (cbrt (log1p a)))
4.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

simplify2.6s

Counts

63 → 63

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	153	1045
1	386	994
2	1016	881
3	3022	772
done	5000	762

prune644.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 31.0b

localize48.0ms

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 (log1p a)) (* (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))))

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)))
2.0ms	(cbrt (cbrt (log1p a)))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (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))))

series268.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt (cbrt (log1p a)))
75.0ms	(cbrt (cbrt (log1p a)))
99.0ms	(cbrt (cbrt (log1p a)))
5.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (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))))

simplify1.9s

Counts

69 → 69

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	102	1299
1	230	1266
2	575	1023
3	1630	900
done	5000	858

prune511.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 30.8b

regimes1.6s

Accuracy

0% (1.9b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample19.0s

Algorithm

intervals

Results

13.5s	7854×	body	10240	exit
2.3s	2360×	body	1280	valid
699.0ms	5226×	body	80	nan
666.0ms	1594×	body	640	valid
316.0ms	762×	body	320	valid
257.0ms	156×	body	2560	valid
237.0ms	2759×	body	80	valid
58.0ms	360×	body	160	valid
18.0ms	9×	body	5120	valid