Details

sample540.0ms

Algorithm

intervals

Results

413.0ms	235×	body	10240	exit
47.0ms	71×	body	1280	valid
18.0ms	52×	body	640	valid
9.0ms	178×	body	80	nan
7.0ms	94×	body	80	valid
5.0ms	24×	body	320	valid
3.0ms	3×	body	2560	valid
2.0ms	12×	body	160	valid

simplify22.0ms

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

prune50.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.1b

localize21.0ms

Local error

Found 1 expressions with local error:

37.8b

(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:

1.0ms

(fmod (cosh c) (log1p a))

series18.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(fmod (cosh c) (log1p a))

simplify1.2s

Counts

10 → 10

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	12	75
1	19	75
2	24	65
3	30	65
4	38	65
5	72	65
6	148	65
7	334	65
8	1002	65
done	5001	65

prune64.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 33.1b

localize22.0ms

Local error

Found 3 expressions with local error:

0.5b	(log (fmod (cosh c) (log1p a)))
0.6b	(exp (log (fmod (cosh c) (log1p a))))
37.8b	(fmod (cosh c) (log1p a))

rewrite14.0ms

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:

2.0ms	(log (fmod (cosh c) (log1p a)))
9.0ms	(exp (log (fmod (cosh c) (log1p a))))
1.0ms	(fmod (cosh c) (log1p a))

series53.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(log (fmod (cosh c) (log1p a)))
6.0ms	(exp (log (fmod (cosh c) (log1p a))))
6.0ms	(fmod (cosh c) (log1p a))

simplify3.9s

Counts

43 → 43

Iterations

Useful iterations: 4 (69.0ms)

Iter	Nodes	Cost
0	38	384
1	61	347
2	93	301
3	146	301
4	218	295
5	392	295
6	1043	295
7	4732	295
done	5000	295

prune131.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 33.1b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 31

Calls

4 calls:

24.0ms	(exp (* (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (log (fmod (cosh c) (log1p a))))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series26.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(exp (* (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (log (fmod (cosh c) (log1p a))))))
6.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))

simplify729.0ms

Counts

43 → 43

Iterations

Useful iterations: 4 (156.0ms)

Iter	Nodes	Cost
0	24	506
1	38	503
2	70	314
3	196	290
4	972	276
done	5001	276

prune194.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 33.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a)))))) (cbrt (log (fmod (cosh c) (log1p a)))))
37.8b	(fmod (cosh c) (log1p a))
37.8b	(fmod (cosh c) (log1p a))
37.8b	(fmod (cosh c) (log1p a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

9.0ms	(pow (exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a)))))) (cbrt (log (fmod (cosh c) (log1p a)))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series283.0ms

Counts

4 → 12

Calls

4 calls:

273.0ms	(pow (exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a)))))) (cbrt (log (fmod (cosh c) (log1p a)))))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify5.1s

Counts

56 → 56

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	51	953
1	126	908
2	458	811
3	3173	802
done	5000	802

prune259.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 33.1b

regimes604.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	24
1	11	24
done	11	24

end0.0ms

sample18.6s

Algorithm

intervals

Results

13.4s	7940×	body	10240	exit
2.1s	2243×	body	1280	valid
694.0ms	811×	body	320	valid
637.0ms	1565×	body	640	valid
278.0ms	5216×	body	80	nan
232.0ms	2803×	body	80	valid
231.0ms	149×	body	2560	valid
66.0ms	420×	body	160	valid
20.0ms	9×	body	5120	valid