Details

sample550.0ms

Algorithm

intervals

Results

396.0ms	235×	body	10240	exit
62.0ms	89×	body	1280	valid
19.0ms	54×	body	640	valid
15.0ms	9×	body	2560	valid
9.0ms	178×	body	80	nan
6.0ms	77×	body	80	valid
5.0ms	19×	body	320	valid
2.0ms	1×	body	5120	valid
1.0ms	7×	body	160	valid

simplify12.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.8b

localize58.0ms

Local error

Found 2 expressions with local error:

0.0b	(cosh c)
41.7b	(fmod (cosh c) (log1p a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 15

Calls

2 calls:

3.0ms	(cosh c)
1.0ms	(fmod (cosh c) (log1p a))

series76.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(cosh c)
16.0ms	(fmod (cosh c) (log1p a))

simplify4.8s

Counts

21 → 21

Iterations

Iter	Nodes
done	5011
5	4210
4	902
3	292
2	130
1	73
0	40

prune177.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 36.6b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* c c) (+ 1/2 (* 1/24 (* c c))))
0.2b	(* 1/24 (* c c))
41.5b	(fmod (+ 1 (* (* c c) (+ 1/2 (* 1/24 (* c c))))) (log1p a))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-sqr-sqrt`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `associate-l`
3×	`add-log-exp`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

3 → 49

Calls

3 calls:

23.0ms	(* (* c c) (+ 1/2 (* 1/24 (* c c))))
31.0ms	(* 1/24 (* c c))
0.0ms	(fmod (+ 1 (* (* c c) (+ 1/2 (* 1/24 (* c c))))) (log1p a))

series175.0ms

Counts

3 → 9

Calls

3 calls:

139.0ms	(* (* c c) (+ 1/2 (* 1/24 (* c c))))
29.0ms	(* 1/24 (* c c))
7.0ms	(fmod (+ 1 (* (* c c) (+ 1/2 (* 1/24 (* c c))))) (log1p a))

simplify1.5s

Counts

58 → 58

Iterations

Iter	Nodes
done	5007
2	1119
1	273
0	91

prune441.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 36.5b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (* c c))
0.1b	(* (* 1/24 (* c c)) (* c c))
0.2b	(* 1/24 (* c c))
41.5b	(fmod (+ 1 (+ (* 1/2 (* c c)) (* (* 1/24 (* c c)) (* c c)))) (log1p a))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-cbrt-cube` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
7×	`associate-l`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`add-log-exp`
3×	`associate-r` `*-commutative`
2×	`unswap-sqr`

Counts

4 → 73

Calls

4 calls:

26.0ms	(* 1/2 (* c c))
52.0ms	(* (* 1/24 (* c c)) (* c c))
13.0ms	(* 1/24 (* c c))
0.0ms	(fmod (+ 1 (+ (* 1/2 (* c c)) (* (* 1/24 (* c c)) (* c c)))) (log1p a))

series139.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* 1/2 (* c c))
46.0ms	(* (* 1/24 (* c c)) (* c c))
37.0ms	(* 1/24 (* c c))
13.0ms	(fmod (+ 1 (+ (* 1/2 (* c c)) (* (* 1/24 (* c c)) (* c c)))) (log1p a))

simplify5.0s

Counts

85 → 85

Iterations

Iter	Nodes
done	5042
3	4882
2	846
1	257
0	97

prune466.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 36.5b

localize74.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 1/24 (* c c))
41.5b	(fmod (+ 1 (+ (* 1/2 (* c c)) (* (* 1/24 (* c c)) (* c c)))) (log1p a))
41.5b	(fmod (+ 1 (+ (* 1/2 (* c c)) (* (* 1/24 (* c c)) (* c c)))) (log1p a))
41.5b	(fmod (+ 1 (+ (* 1/2 (* c c)) (* (* 1/24 (* c c)) (* c c)))) (log1p a))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`add-log-exp`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 40

Calls

4 calls:

17.0ms	(* 1/24 (* c c))
0.0ms	(fmod (+ 1 (+ (* 1/2 (* c c)) (* (* 1/24 (* c c)) (* c c)))) (log1p a))
0.0ms	(fmod (+ 1 (+ (* 1/2 (* c c)) (* (* 1/24 (* c c)) (* c c)))) (log1p a))
0.0ms	(fmod (+ 1 (+ (* 1/2 (* c c)) (* (* 1/24 (* c c)) (* c c)))) (log1p a))

series83.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* 1/24 (* c c))
14.0ms	(fmod (+ 1 (+ (* 1/2 (* c c)) (* (* 1/24 (* c c)) (* c c)))) (log1p a))
10.0ms	(fmod (+ 1 (+ (* 1/2 (* c c)) (* (* 1/24 (* c c)) (* c c)))) (log1p a))
7.0ms	(fmod (+ 1 (+ (* 1/2 (* c c)) (* (* 1/24 (* c c)) (* c c)))) (log1p a))

simplify2.6s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
3	1352
2	340
1	133
0	57

prune398.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 36.5b

regimes732.0ms

Accuracy

0% (0.2b remaining)

Error of 34.9b against oracle of 34.7b and baseline of 34.9b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	28
1	28
0	19

end0.0ms

sample19.6s

Algorithm

intervals

Results

13.3s	7934×	body	10240	exit
2.4s	2363×	body	1280	valid
1.2s	1591×	body	640	valid
863.0ms	5390×	body	80	nan
232.0ms	136×	body	2560	valid
229.0ms	2688×	body	80	valid
221.0ms	778×	body	320	valid
111.0ms	429×	body	160	valid
38.0ms	15×	body	5120	valid