Details

sample1.6s

Algorithm

intervals

Results

840.0ms	245×	body	10240	exit
319.0ms	110×	body	2560	valid
114.0ms	78×	body	1280	valid
102.0ms	527×	body	80	nan
34.0ms	35×	body	640	valid
14.0ms	21×	body	320	valid
3.0ms	7×	body	160	valid
2.0ms	1×	body	2560	nan
1.0ms	5×	body	80	valid

simplify15.0s

Counts

1 → 1

Iterations

Iter	Nodes
8	9605
7	1734
6	473
5	197
4	85
3	42
2	24
1	16
0	7

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.4b

localize43.0ms

Local error

Found 2 expressions with local error:

1.7b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
58.9b	(fmod (cosh a) (* a a))

rewrite6.0ms

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:

2.0ms	(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)))
13.0ms	(fmod (cosh a) (* a a))

simplify1.9s

Counts

23 → 23

Iterations

Iter	Nodes
7	2209
6	727
5	315
4	158
3	96
2	68
1	54
0	31

prune254.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.2b

localize46.0ms

Local error

Found 3 expressions with local error:

1.7b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.7b	(log (exp (fmod (cosh a) (* a a))))
58.9b	(fmod (cosh a) (* a a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 33

Calls

3 calls:

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))

series12.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
4.0ms	(log (exp (fmod (cosh a) (* a a))))
4.0ms	(fmod (cosh a) (* a a))

simplify2.8s

Counts

42 → 42

Iterations

Iter	Nodes
7	3559
6	1102
5	479
4	235
3	147
2	108
1	84
0	54

prune322.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.1b

localize42.0ms

Local error

Found 4 expressions with local error:

2.7b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.7b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
58.9b	(fmod (cosh a) (* a a))
58.9b	(fmod (cosh a) (* a a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod` `log-pow`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`pow1` `sqrt-pow1`
6×	`exp-prod` `add-exp-log` `sqrt-prod`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`pow1/2` `rem-log-exp`

Counts

4 → 58

Calls

4 calls:

3.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
3.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series272.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
132.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify4.4s

Counts

70 → 70

Iterations

Iter	Nodes
8	5413
7	1591
6	593
5	279
4	153
3	107
2	88
1	73
0	51

prune679.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 59.1b

localize68.0ms

Local error

Found 4 expressions with local error:

10.7b	(log (exp (fmod (cosh a) (* a a))))
58.9b	(fmod (cosh a) (* a a))
58.9b	(fmod (cosh a) (* a a))
58.9b	(fmod (cosh a) (* a a))

rewrite6.0ms

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:

4.0ms	(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))

series11.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify5.0s

Counts

52 → 52

Iterations

Iter	Nodes
8	4712
7	1300
6	481
5	229
4	127
3	90
2	73
1	59
0	38

prune685.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 59.1b

regimes421.0ms

Accuracy

0% (0.4b remaining)

Error of 59.6b against oracle of 59.2b and baseline of 59.6b

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
2	19
1	19
0	18

end0.0ms

sample39.8s

Algorithm

intervals

Results

23.5s	7754×	body	10240	exit
8.0s	3230×	body	2560	valid
3.6s	2524×	body	1280	valid
2.6s	15923×	body	80	nan
1.0s	1257×	body	640	valid
349.0ms	580×	body	320	valid
146.0ms	297×	body	160	valid
23.0ms	112×	body	80	valid
17.0ms	6×	body	5120	nan
15.0ms	9×	body	2560	nan
13.0ms	12×	body	1280	nan
3.0ms	5×	body	640	nan
2.0ms	5×	body	160	nan
2.0ms	4×	body	320	nan