Details

sample3.5s

Algorithm

intervals

Results

2.0s	294×	body	10240	exit
512.0ms	105×	body	2560	valid
147.0ms	79×	body	1280	valid
115.0ms	581×	body	80	nan
34.0ms	31×	body	640	valid
21.0ms	22×	body	320	valid
9.0ms	13×	body	160	valid
2.0ms	6×	body	80	valid
0.0ms	1×	body	160	nan

simplify10.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	7	10
1	16	10
2	24	10
3	44	10
4	91	10
5	373	10
6	3269	10
done	5001	10

prune32.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.6b

localize49.0ms

Local error

Found 2 expressions with local error:

3.1b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.1b	(fmod (cosh a) (* a a))

rewrite47.0ms

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:

8.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
17.0ms	(fmod (cosh a) (* a a))

series111.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
102.0ms	(fmod (cosh a) (* a a))

simplify7.3s

Counts

21 → 21

Iterations

Useful iterations: 2 (147.0ms)

Iter	Nodes	Cost
0	29	241
1	52	241
2	101	209
3	172	209
4	301	209
5	807	209
6	3981	209
done	5000	209

prune344.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.4b

localize39.0ms

Local error

Found 3 expressions with local error:

3.1b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.8b	(log (exp (fmod (cosh a) (* a a))))
59.1b	(fmod (cosh a) (* a a))

rewrite16.0ms

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)))
13.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(fmod (cosh a) (* a a))

series25.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
6.0ms	(log (exp (fmod (cosh a) (* a a))))
8.0ms	(fmod (cosh a) (* a a))

simplify7.9s

Counts

39 → 39

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	51	463
1	83	410
2	148	359
3	235	359
4	387	359
5	984	359
6	4616	359
done	5001	359

prune438.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 59.4b

localize46.0ms

Local error

Found 4 expressions with local error:

4.3b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
4.3b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
59.1b	(fmod (cosh a) (* a a))
59.1b	(fmod (cosh a) (* a a))

rewrite27.0ms

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:

10.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
7.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series729.0ms

Counts

4 → 12

Calls

4 calls:

334.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
361.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
7.0ms	(fmod (cosh a) (* a a))
17.0ms	(fmod (cosh a) (* a a))

simplify5.3s

Counts

66 → 66

Iterations

Useful iterations: 2 (111.0ms)

Iter	Nodes	Cost
0	49	782
1	72	734
2	114	658
3	182	658
4	302	658
5	671	658
6	2140	658
done	5002	658

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 59.3b

localize190.0ms

Local error

Found 4 expressions with local error:

4.3b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
59.1b	(fmod (cosh a) (* a a))
59.1b	(fmod (cosh a) (* a a))
59.1b	(fmod (cosh a) (* a a))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 41

Calls

4 calls:

10.0ms	(log (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))

series532.0ms

Counts

4 → 12

Calls

4 calls:

516.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
5.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))
6.0ms	(fmod (cosh a) (* a a))

simplify4.6s

Counts

53 → 53

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	49	567
1	72	543
2	114	481
3	182	481
4	302	481
5	671	481
6	2140	481
done	5002	481

prune831.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 59.3b

regimes693.0ms

Accuracy

0% (0.5b remaining)

Error of 60.2b against oracle of 59.7b and baseline of 60.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	23
done	11	23

end0.0ms

sample1.5m

Algorithm

intervals

Results

54.6s	7712×	body	10240	exit
14.3s	3116×	body	2560	valid
7.5s	2466×	body	1280	valid
4.1s	15639×	body	80	nan
3.2s	1280×	body	640	valid
717.0ms	676×	body	320	valid
379.0ms	343×	body	160	valid
29.0ms	119×	body	80	valid
29.0ms	6×	body	5120	nan
21.0ms	11×	body	1280	nan
18.0ms	9×	body	640	nan
12.0ms	3×	body	2560	nan
5.0ms	8×	body	320	nan
2.0ms	6×	body	160	nan