Details

sample697.0ms

Algorithm

intervals

Results

510.0ms	227×	body	10240	exit
72.0ms	68×	body	1280	valid
29.0ms	49×	body	640	valid
16.0ms	155×	body	80	nan
14.0ms	33×	body	320	valid
13.0ms	6×	body	2560	valid
11.0ms	87×	body	80	valid
4.0ms	13×	body	160	valid

simplify19.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	14
2	14
1	11
0	5

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.4b

localize22.0ms

Local error

Found 1 expressions with local error:

39.0b

(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fmod (cosh c) (log1p a))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(fmod (cosh c) (log1p a))

simplify7.0s

Counts

13 → 13

Iterations

Iter	Nodes
10	7331
9	1613
8	503
7	204
6	98
5	59
4	39
3	31
2	27
1	22
0	15

prune186.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 34.4b

localize36.0ms

Local error

Found 3 expressions with local error:

0.5b	(exp (log (fmod (cosh c) (log1p a))))
1.2b	(log (fmod (cosh c) (log1p a)))
39.0b	(fmod (cosh c) (log1p a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `log-prod` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`exp-prod` `add-exp-log`
3×	`expm1-log1p-u` `add-cbrt-cube` `exp-sum` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 43

Calls

3 calls:

6.0ms	(exp (log (fmod (cosh c) (log1p a))))
3.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series31.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(exp (log (fmod (cosh c) (log1p a))))
24.0ms	(log (fmod (cosh c) (log1p a)))
5.0ms	(fmod (cosh c) (log1p a))

simplify3.7s

Counts

52 → 52

Iterations

Iter	Nodes
8	3777
7	1300
6	600
5	333
4	197
3	136
2	94
1	70
0	47

prune657.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 34.2b

localize44.0ms

Local error

Found 4 expressions with local error:

1.2b	(log (fmod (cosh c) (log1p a)))
39.0b	(fmod (cosh c) (log1p a))
39.0b	(fmod (cosh c) (log1p a))
39.0b	(fmod (cosh c) (log1p a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-prod`
1×	`rem-log-exp` `log-pow`

Counts

4 → 45

Calls

4 calls:

2.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
1.0ms	(fmod (cosh c) (log1p a))

series48.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(log (fmod (cosh c) (log1p a)))
4.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))

simplify1.8s

Counts

57 → 57

Iterations

Iter	Nodes
9	3296
8	1092
7	435
6	215
5	128
4	86
3	65
2	53
1	43
0	30

prune968.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 34.2b

localize70.0ms

Local error

Found 4 expressions with local error:

39.0b	(fmod (cosh c) (log1p a))
39.0b	(fmod (cosh c) (log1p a))
39.0b	(fmod (cosh c) (log1p a))
39.0b	(fmod (cosh c) (log1p a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

0.0ms	(fmod (cosh c) (log1p a))
1.0ms	(fmod (cosh c) (log1p a))
1.0ms	(fmod (cosh c) (log1p a))
1.0ms	(fmod (cosh c) (log1p a))

series18.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))

simplify6.9s

Counts

52 → 52

Iterations

Iter	Nodes
10	7331
9	1613
8	503
7	204
6	98
5	59
4	39
3	31
2	27
1	22
0	15

prune883.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 34.2b

regimes678.0ms

Accuracy

0% (0.2b remaining)

Error of 34.1b against oracle of 33.9b and baseline of 34.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	13
1	13
0	12

end0.0ms

sample22.8s

Algorithm

intervals

Results

16.6s	7605×	body	10240	exit
2.4s	2249×	body	1280	valid
1.2s	1630×	body	640	valid
752.0ms	788×	body	320	valid
524.0ms	5270×	body	80	nan
337.0ms	2787×	body	80	valid
295.0ms	139×	body	2560	valid
131.0ms	399×	body	160	valid
23.0ms	8×	body	5120	valid