Details

sample1.5s

Algorithm

intervals

Results

788.0ms	278×	body	10240	exit
352.0ms	92×	body	2560	valid
108.0ms	89×	body	1280	valid
49.0ms	584×	body	80	nan
26.0ms	40×	body	640	valid
9.0ms	19×	body	320	valid
4.0ms	13×	body	160	valid
0.0ms	3×	body	80	valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	10
1	16	10
2	24	10
3	44	10
4	89	10
5	195	10
6	633	10
7	2582	10
done	5000	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.1b

localize14.0ms

Local error

Found 2 expressions with local error:

3.1b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.9b	(fmod (cosh a) (* a a))

rewrite4.0ms

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×	`acos-asin`

Counts

2 → 15

Calls

2 calls:

1.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series37.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
15.0ms	(fmod (cosh a) (* a a))

simplify3.0s

Counts

21 → 21

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	29	241
1	43	241
2	61	209
3	90	209
4	148	209
5	288	209
6	765	209
7	2920	209
done	5000	209

prune134.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 59.7b

localize17.0ms

Local error

Found 3 expressions with local error:

3.1b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.3b	(log (exp (fmod (cosh a) (* a a))))
59.9b	(fmod (cosh a) (* a a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `log-pow`
3×	`add-exp-log` `log-prod` `exp-prod` `add-cbrt-cube` `add-log-exp`
1×	`acos-asin` `rem-log-exp`

Counts

3 → 30

Calls

3 calls:

1.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
3.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series11.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
3.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(fmod (cosh a) (* a a))

simplify4.9s

Counts

39 → 39

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	51	463
1	70	410
2	92	359
3	130	359
4	211	359
5	428	359
6	1103	359
7	4017	359
done	5000	359

prune211.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 59.7b

localize32.0ms

Local error

Found 4 expressions with local error:

3.8b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
3.8b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod` `log-pow`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`pow1` `sqrt-pow1`
6×	`add-exp-log` `exp-prod` `sqrt-prod`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow1/2` `rem-log-exp`

Counts

4 → 54

Calls

4 calls:

6.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
6.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series441.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
231.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
4.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))

simplify2.1s

Counts

66 → 66

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	49	782
1	66	734
2	83	658
3	103	658
4	143	658
5	252	658
6	533	658
7	1583	658
done	5001	658

prune371.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.7b

localize36.0ms

Local error

Found 4 expressions with local error:

3.8b	(log (sqrt (sqrt (exp (fmod (cosh a) (* a a))))))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`sqrt-pow1`
9×	`log-prod` `sqrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `log-pow`
7×	`pow1`
5×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`exp-prod`
2×	`pow1/2`
1×	`rem-log-exp`

Counts

4 → 46

Calls

4 calls:

10.0ms	(log (sqrt (sqrt (exp (fmod (cosh a) (* a a))))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series367.0ms

Counts

4 → 12

Calls

4 calls:

353.0ms	(log (sqrt (sqrt (exp (fmod (cosh a) (* a a))))))
5.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))

simplify1.9s

Counts

58 → 58

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	60	672
1	79	635
2	96	570
3	115	570
4	155	570
5	264	570
6	549	570
7	1582	570
done	5000	570

prune421.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 59.7b

Details

sample1.5s

simplify3.0s

prune5.0ms

localize14.0ms

rewrite4.0ms

series37.0ms

simplify3.0s

prune134.0ms

localize17.0ms

rewrite6.0ms

series11.0ms

simplify4.9s

prune211.0ms

localize32.0ms

rewrite16.0ms

series441.0ms

simplify2.1s

prune371.0ms

localize36.0ms

rewrite13.0ms

series367.0ms

simplify1.9s

prune421.0ms

regimes3.0ms