Details

sample402.0ms

Algorithm

intervals

Results

294.0ms	235×	body	10240	exit
45.0ms	89×	body	1280	valid
14.0ms	54×	body	640	valid
9.0ms	9×	body	2560	valid
8.0ms	178×	body	80	nan
4.0ms	77×	body	80	valid
3.0ms	19×	body	320	valid
1.0ms	1×	body	5120	valid
1.0ms	7×	body	160	valid

simplify13.0ms

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

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

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:

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

series83.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(cosh c)
10.0ms	(fmod (cosh c) (log1p a))

simplify3.0s

Counts

21 → 21

Iterations

Iter	Nodes
done	5000
4	3011
3	620
2	187
1	73
0	40

prune149.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 36.6b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

69.0ms	(* (+ (* 1/24 (* c c)) 1/2) (* c c))
19.0ms	(* 1/24 (* c c))
0.0ms	(fmod (+ 1 (* (+ (* 1/24 (* c c)) 1/2) (* c c))) (log1p a))

series216.0ms

Counts

3 → 9

Calls

3 calls:

154.0ms	(* (+ (* 1/24 (* c c)) 1/2) (* c c))
49.0ms	(* 1/24 (* c c))
13.0ms	(fmod (+ 1 (* (+ (* 1/24 (* c c)) 1/2) (* c c))) (log1p a))

simplify1.2s

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
2	1233
1	238
0	85

prune361.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 36.5b

localize69.0ms

Local error

Found 4 expressions with local error:

27.8b	(cbrt (* 1/24 (* c c)))
27.8b	(cbrt (* 1/24 (* c c)))
27.8b	(cbrt (* 1/24 (* c c)))
41.5b	(fmod (+ 1 (* (+ (* (* (cbrt (* 1/24 (* c c))) (cbrt (* 1/24 (* c c)))) (cbrt (* 1/24 (* c c)))) 1/2) (* c c))) (log1p a))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`cbrt-prod` `pow1/3`

Counts

4 → 34

Calls

4 calls:

12.0ms	(cbrt (* 1/24 (* c c)))
13.0ms	(cbrt (* 1/24 (* c c)))
9.0ms	(cbrt (* 1/24 (* c c)))
0.0ms	(fmod (+ 1 (* (+ (* (* (cbrt (* 1/24 (* c c))) (cbrt (* 1/24 (* c c)))) (cbrt (* 1/24 (* c c)))) 1/2) (* c c))) (log1p a))

series1.3s

Counts

4 → 12

Calls

4 calls:

309.0ms	(cbrt (* 1/24 (* c c)))
325.0ms	(cbrt (* 1/24 (* c c)))
670.0ms	(cbrt (* 1/24 (* c c)))
24.0ms	(fmod (+ 1 (* (+ (* (* (cbrt (* 1/24 (* c c))) (cbrt (* 1/24 (* c c)))) (cbrt (* 1/24 (* c c)))) 1/2) (* c c))) (log1p a))

simplify4.3s

Counts

46 → 46

Iterations

Iter	Nodes
done	5000
4	4944
3	683
2	177
1	70
0	41

prune396.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 36.5b

localize90.0ms

Local error

Found 4 expressions with local error:

27.7b	(cbrt (* c c))
27.8b	(cbrt (* 1/24 (* c c)))
27.8b	(cbrt (* 1/24 (* c c)))
41.5b	(fmod (+ 1 (* (+ (* (* (* (cbrt (* c c)) (cbrt 1/24)) (cbrt (* 1/24 (* c c)))) (cbrt (* 1/24 (* c c)))) 1/2) (* c c))) (log1p a))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`cbrt-prod` `pow1/3`

Counts

4 → 34

Calls

4 calls:

5.0ms	(cbrt (* c c))
17.0ms	(cbrt (* 1/24 (* c c)))
16.0ms	(cbrt (* 1/24 (* c c)))
0.0ms	(fmod (+ 1 (* (+ (* (* (* (cbrt (* c c)) (cbrt 1/24)) (cbrt (* 1/24 (* c c)))) (cbrt (* 1/24 (* c c)))) 1/2) (* c c))) (log1p a))

series991.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(cbrt (* c c))
352.0ms	(cbrt (* 1/24 (* c c)))
356.0ms	(cbrt (* 1/24 (* c c)))
26.0ms	(fmod (+ 1 (* (+ (* (* (* (cbrt (* c c)) (cbrt 1/24)) (cbrt (* 1/24 (* c c)))) (cbrt (* 1/24 (* c c)))) 1/2) (* c c))) (log1p a))

simplify1.2s

Counts

46 → 46

Iterations

Iter	Nodes
done	5001
3	1089
2	297
1	107
0	60

prune336.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 36.5b

regimes648.0ms

Accuracy

0% (0.1b remaining)

Error of 34.8b against oracle of 34.7b and baseline of 34.8b

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	29
1	29
0	20

end0.0ms

sample18.8s

Algorithm

intervals

Results

13.9s	7934×	body	10240	exit
1.9s	2363×	body	1280	valid
678.0ms	1591×	body	640	valid
633.0ms	2688×	body	80	valid
546.0ms	5390×	body	80	nan
270.0ms	136×	body	2560	valid
168.0ms	778×	body	320	valid
70.0ms	429×	body	160	valid
42.0ms	15×	body	5120	valid