Details

sample1.6s

Algorithm

intervals

Results

852.0ms	277×	body	10240	exit
294.0ms	98×	body	2560	valid
152.0ms	593×	body	80	nan
128.0ms	86×	body	1280	valid
39.0ms	42×	body	640	valid
15.0ms	22×	body	320	valid
3.0ms	6×	body	160	valid
3.0ms	1×	body	5120	nan
1.0ms	1×	body	2560	nan
0.0ms	2×	body	80	valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3169
5	373
4	91
3	44
2	24
1	16
0	7

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.2b

localize18.0ms

Local error

Found 2 expressions with local error:

0.8b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.1b	(fmod (cosh a) (* a a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`
1×	`acos-asin`

Counts

2 → 17

Calls

2 calls:

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

series18.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
14.0ms	(fmod (cosh a) (* a a))

simplify3.1s

Counts

23 → 23

Iterations

Iter	Nodes
done	5002
6	3980
5	809
4	305
3	174
2	102
1	54
0	31

prune165.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 59.7b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (fmod (cosh a) (* a a)))
0.8b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.4b	(log (exp (fmod (cosh a) (* a a))))
60.1b	(fmod (cosh a) (* a a))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`exp-prod`
5×	`pow1` `add-log-exp`
4×	`add-cbrt-cube` `add-exp-log` `log-pow` `insert-posit16`
3×	`log-prod`
1×	`acos-asin` `rem-log-exp` `rem-exp-log`

Counts

4 → 45

Calls

4 calls:

4.0ms	(exp (fmod (cosh a) (* a a)))
2.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
4.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(fmod (cosh a) (* a a))

series78.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(exp (fmod (cosh a) (* a a)))
4.0ms	(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))

simplify2.5s

Counts

57 → 57

Iterations

Iter	Nodes
done	5001
6	4755
5	1062
4	430
3	270
2	179
1	98
0	59

prune304.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.7b

localize34.0ms

Local error

Found 4 expressions with local error:

10.4b	(log (exp (fmod (cosh a) (* a a))))
60.1b	(fmod (cosh a) (* a a))
60.1b	(fmod (cosh a) (* a a))
60.1b	(fmod (cosh a) (* a a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`add-cbrt-cube` `add-exp-log` `log-pow` `insert-posit16` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`rem-log-exp`

Counts

4 → 40

Calls

4 calls:

2.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series13.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))
7.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify1.4s

Counts

52 → 52

Iterations

Iter	Nodes
done	5001
6	1659
5	538
4	258
3	162
2	105
1	61
0	38

prune483.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.7b

localize66.0ms

Local error

Found 4 expressions with local error:

60.1b	(fmod (cosh a) (* a a))
60.1b	(fmod (cosh a) (* a a))
60.1b	(fmod (cosh a) (* a a))
60.1b	(fmod (cosh a) (* a a))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series9.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify967.0ms

Counts

44 → 44

Iterations

Iter	Nodes
done	5001
7	2638
6	859
5	356
4	169
3	98
2	56
1	28
0	15

prune441.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 59.7b

regimes366.0ms

Accuracy

0% (0.4b remaining)

Error of 59.5b against oracle of 59.1b and baseline of 59.5b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	19
1	19
0	18

end0.0ms

sample43.3s

Algorithm

intervals

Results

24.4s	8110×	body	10240	exit
8.5s	3101×	body	2560	valid
4.1s	2555×	body	1280	valid
3.5s	16201×	body	80	nan
1.5s	1295×	body	640	valid
406.0ms	613×	body	320	valid
183.0ms	325×	body	160	valid
41.0ms	13×	body	5120	nan
24.0ms	111×	body	80	valid
14.0ms	8×	body	2560	nan
8.0ms	8×	body	1280	nan
6.0ms	7×	body	640	nan
3.0ms	8×	body	320	nan
3.0ms	10×	body	160	nan