Details

sample617.0ms

Algorithm

intervals

Results

406.0ms	226×	body	10240	exit
67.0ms	169×	body	80	nan
54.0ms	67×	body	1280	valid
25.0ms	53×	body	640	valid
9.0ms	6×	body	2560	valid
8.0ms	95×	body	80	valid
4.0ms	22×	body	160	valid
3.0ms	13×	body	320	valid

simplify20.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.1b

localize56.0ms

Local error

Found 1 expressions with local error:

37.2b

(fmod (cosh c) (log1p a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`

Counts

1 → 7

Calls

1 calls:

1.0ms

(fmod (cosh c) (log1p a))

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(fmod (cosh c) (log1p a))

simplify1.2s

Counts

10 → 10

Iterations

Iter	Nodes
done	5001
8	1006
7	334
6	148
5	72
4	38
3	30
2	24
1	19
0	12

prune56.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 33.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fmod (cosh c) (log1p a)))
0.1b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
37.2b	(fmod (cosh c) (log1p a))
37.2b	(fmod (cosh c) (log1p a))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 76

Calls

4 calls:

2.0ms	(sqrt (fmod (cosh c) (log1p a)))
29.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series38.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(sqrt (fmod (cosh c) (log1p a)))
6.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
6.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))

simplify1.1s

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
2	590
1	117
0	57

prune386.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 33.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (cbrt (sqrt (fmod (cosh c) (log1p a)))) (+ 3 1))
37.2b	(fmod (cosh c) (log1p a))
37.2b	(fmod (cosh c) (log1p a))
37.2b	(fmod (cosh c) (log1p a))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
9×	`unpow-prod-down`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-prod`
5×	`pow1` `add-exp-log`
4×	`pow-unpow` `add-cbrt-cube` `add-log-exp`
3×	`sqrt-prod`
2×	`pow-pow`
1×	`pow-to-exp` `unpow-prod-up` `pow1/3` `pow-exp` `distribute-lft-out` `sqr-pow`

Counts

4 → 47

Calls

4 calls:

13.0ms	(pow (cbrt (sqrt (fmod (cosh c) (log1p a)))) (+ 3 1))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series145.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(pow (cbrt (sqrt (fmod (cosh c) (log1p a)))) (+ 3 1))
6.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))

simplify1.8s

Counts

59 → 59

Iterations

Iter	Nodes
done	5000
3	2345
2	522
1	192
0	65

prune399.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 33.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.8b	(pow (sqrt (fmod (cosh c) (log1p a))) 4/3)
37.2b	(fmod (cosh c) (log1p a))
37.2b	(fmod (cosh c) (log1p a))
37.2b	(fmod (cosh c) (log1p a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `unpow-prod-down`
5×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow-pow` `sqrt-prod`
1×	`pow-to-exp` `sqrt-pow1` `pow1/2` `pow-exp` `sqrt-pow2` `sqr-pow`

Counts

4 → 44

Calls

4 calls:

4.0ms	(pow (sqrt (fmod (cosh c) (log1p a))) 4/3)
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series77.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(pow (sqrt (fmod (cosh c) (log1p a))) 4/3)
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify1.8s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
4	3052
3	850
2	319
1	129
0	51

prune298.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 33.0b

regimes648.0ms

Accuracy

0% (0.0b remaining)

Error of 34.0b against oracle of 34.0b and baseline of 34.0b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	13

end0.0ms

sample19.8s

Algorithm

intervals

Results

14.8s	7921×	body	10240	exit
1.8s	2261×	body	1280	valid
713.0ms	1602×	body	640	valid
622.0ms	128×	body	2560	valid
298.0ms	2795×	body	80	valid
297.0ms	5307×	body	80	nan
232.0ms	800×	body	320	valid
69.0ms	409×	body	160	valid
9.0ms	5×	body	5120	valid