Details

sample1.1s

Algorithm

intervals

Results

606.0ms	233×	body	10240	exit
227.0ms	43×	body	640	valid
123.0ms	84×	body	1280	valid
19.0ms	8×	body	2560	valid
16.0ms	135×	body	80	nan
12.0ms	29×	body	320	valid
10.0ms	74×	body	80	valid
6.0ms	17×	body	160	valid
4.0ms	1×	body	5120	valid

simplify16.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	16
3	16
2	14
1	11
0	5

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.0b

localize24.0ms

Local error

Found 1 expressions with local error:

42.0b

(fmod (cosh c) (log1p a))

rewrite4.0ms

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))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(fmod (cosh c) (log1p a))

simplify913.0ms

Counts

13 → 13

Iterations

Iter	Nodes
done	2001
9	1202
8	719
7	383
6	88
5	53
4	41
3	33
2	27
1	22
0	15

prune98.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 37.0b

localize40.0ms

Local error

Found 3 expressions with local error:

0.2b	(log (fmod (cosh c) (log1p a)))
0.6b	(exp (log (fmod (cosh c) (log1p a))))
42.0b	(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:

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

series25.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(exp (log (fmod (cosh c) (log1p a))))
3.0ms	(fmod (cosh c) (log1p a))

simplify1.0s

Counts

52 → 52

Iterations

Iter	Nodes
done	2003
7	1689
6	657
5	345
4	204
3	139
2	95
1	71
0	47

prune316.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 36.8b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(exp (cbrt (* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (log (fmod (cosh c) (log1p a))))))
42.0b	(fmod (cosh c) (log1p a))
42.0b	(fmod (cosh c) (log1p a))
42.0b	(fmod (cosh c) (log1p a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 45

Calls

4 calls:

8.0ms	(exp (cbrt (* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (log (fmod (cosh c) (log1p a))))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series17.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(exp (cbrt (* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (log (fmod (cosh c) (log1p a))))))
4.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify1.1s

Counts

57 → 57

Iterations

Iter	Nodes
done	2016
7	1447
6	535
5	271
4	152
3	97
2	72
1	54
0	38

prune376.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 36.8b

localize40.0ms

Local error

Found 4 expressions with local error:

0.8b	(pow E (cbrt (* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (log (fmod (cosh c) (log1p a))))))
42.0b	(fmod (cosh c) (log1p a))
42.0b	(fmod (cosh c) (log1p a))
42.0b	(fmod (cosh c) (log1p a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

4.0ms	(pow E (cbrt (* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (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))

series97.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(pow E (cbrt (* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (log (fmod (cosh c) (log1p a))))))
5.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))

simplify1.3s

Counts

64 → 64

Iterations

Iter	Nodes
done	2000
4	1738
3	486
2	177
1	100
0	52

prune339.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 36.8b

regimes472.0ms

Accuracy

0% (0.2b remaining)

Error of 34.5b against oracle of 34.3b and baseline of 34.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
2	16
1	14
0	12

end0.0ms

sample23.1s

Algorithm

intervals

Results

16.6s	7846×	body	10240	exit
2.8s	2313×	body	1280	valid
947.0ms	1559×	body	640	valid
763.0ms	832×	body	320	valid
667.0ms	5253×	body	80	nan
384.0ms	2723×	body	80	valid
284.0ms	153×	body	2560	valid
141.0ms	411×	body	160	valid
22.0ms	9×	body	5120	valid