Details

sample1.5s

Algorithm

intervals

Results

1.3s	255×	body	10240	exit
97.0ms	78×	body	1280	valid
23.0ms	60×	body	640	valid
12.0ms	181×	body	80	nan
8.0ms	81×	body	80	valid
6.0ms	23×	body	320	valid
3.0ms	13×	body	160	valid
2.0ms	1×	body	2560	valid

simplify14.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.5b

localize10.0ms

Local error

Found 1 expressions with local error:

40.6b

(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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`

Counts

1 → 9

Calls

1 calls:

1.0ms

(fmod (cosh c) (log1p a))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(fmod (cosh c) (log1p a))

simplify2.3s

Counts

12 → 12

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	14	87
1	21	87
2	26	77
3	32	77
4	38	77
5	48	77
6	69	77
7	147	77
8	440	77
9	1834	77
done	5000	77

prune96.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 35.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fmod (cosh c) (log1p a)))
0.0b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
40.6b	(fmod (cosh c) (log1p a))
40.6b	(fmod (cosh c) (log1p a))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 84

Calls

4 calls:

3.0ms	(sqrt (fmod (cosh c) (log1p a)))
29.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))
1.0ms	(fmod (cosh c) (log1p a))

series22.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (fmod (cosh c) (log1p a)))
3.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify6.1s

Counts

96 → 96

Iterations

Useful iterations: 5 (3.2s)

Iter	Nodes	Cost
0	63	1178
1	98	776
2	212	698
3	403	671
4	836	647
5	4737	635
done	5000	635

prune371.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 35.5b

localize15.0ms

Local error

Found 3 expressions with local error:

0.5b	(exp (log (fmod (cosh c) (log1p a))))
1.1b	(log (fmod (cosh c) (log1p a)))
40.6b	(fmod (cosh c) (log1p a))

rewrite12.0ms

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×	`expm1-log1p-u` `exp-sum` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 40

Calls

3 calls:

7.0ms	(exp (log (fmod (cosh c) (log1p a))))
3.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series56.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(exp (log (fmod (cosh c) (log1p a))))
43.0ms	(log (fmod (cosh c) (log1p a)))
6.0ms	(fmod (cosh c) (log1p a))

simplify4.5s

Counts

49 → 49

Iterations

Useful iterations: 4 (85.0ms)

Iter	Nodes	Cost
0	44	426
1	60	385
2	74	339
3	93	339
4	134	333
5	218	333
6	426	333
7	1209	333
8	4524	333
done	5001	333

prune265.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 35.4b

localize32.0ms

Local error

Found 3 expressions with local error:

0.6b	(pow E (log (fmod (cosh c) (log1p a))))
1.1b	(log (fmod (cosh c) (log1p a)))
40.6b	(fmod (cosh c) (log1p a))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `log-prod`
5×	`add-exp-log`
4×	`pow-unpow`
3×	`unpow-prod-up` `expm1-log1p-u` `unpow-prod-down` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-exp` `log-pow`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `rem-log-exp` `sqr-pow`

Counts

3 → 47

Calls

3 calls:

8.0ms	(pow E (log (fmod (cosh c) (log1p a))))
3.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series125.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(pow E (log (fmod (cosh c) (log1p a))))
39.0ms	(log (fmod (cosh c) (log1p a)))
6.0ms	(fmod (cosh c) (log1p a))

simplify2.4s

Counts

56 → 56

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	59	557
1	108	522
2	208	446
3	512	446
4	1617	444
done	5001	432

prune231.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 35.4b

regimes539.0ms

Accuracy

0% (0.1b remaining)

Error of 34.6b against oracle of 34.6b and baseline of 34.6b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	11
1	13	11
2	15	11
done	15	11

end0.0ms

sample19.2s

Algorithm

intervals

Results

14.5s	7814×	body	10240	exit
1.8s	2367×	body	1280	valid
791.0ms	1566×	body	640	valid
328.0ms	5240×	body	80	nan
239.0ms	813×	body	320	valid
201.0ms	123×	body	2560	valid
197.0ms	2710×	body	80	valid
110.0ms	409×	body	160	valid
26.0ms	12×	body	5120	valid