Details

sample577.0ms

Algorithm

intervals

Results

429.0ms	240×	body	10240	exit
52.0ms	69×	body	1280	valid
20.0ms	55×	body	640	valid
13.0ms	7×	body	2560	valid
7.0ms	132×	body	80	nan
7.0ms	91×	body	80	valid
6.0ms	24×	body	320	valid
2.0ms	1×	body	5120	valid
2.0ms	9×	body	160	valid

simplify20.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.6b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(cosh c)
38.2b	(fmod (cosh c) (log1p a))

rewrite6.0ms

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))

series135.0ms

Counts

2 → 6

Calls

2 calls:

118.0ms	(cosh c)
16.0ms	(fmod (cosh c) (log1p a))

simplify2.9s

Counts

21 → 21

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	40	141
1	73	140
2	187	126
3	620	126
4	3011	126
done	5000	126

prune167.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 33.4b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/2 (pow c 2)) (+ (* 1/24 (pow c 4)) 1))
0.0b	(* 1/2 (pow c 2))
0.1b	(* 1/24 (pow c 4))
38.0b	(fmod (+ (* 1/2 (pow c 2)) (+ (* 1/24 (pow c 4)) 1)) (log1p a))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
15×	`associate-r`
14×	`add-exp-log`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`add-log-exp`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `sqr-pow`
3×	`sum-log`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `unpow2`
1×	`+-commutative` `associate-+r+` `flip3-+` `flip-+`

Counts

4 → 72

Calls

4 calls:

24.0ms	(+ (* 1/2 (pow c 2)) (+ (* 1/24 (pow c 4)) 1))
20.0ms	(* 1/2 (pow c 2))
10.0ms	(* 1/24 (pow c 4))
0.0ms	(fmod (+ (* 1/2 (pow c 2)) (+ (* 1/24 (pow c 4)) 1)) (log1p a))

series143.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (* 1/2 (pow c 2)) (+ (* 1/24 (pow c 4)) 1))
31.0ms	(* 1/2 (pow c 2))
48.0ms	(* 1/24 (pow c 4))
13.0ms	(fmod (+ (* 1/2 (pow c 2)) (+ (* 1/24 (pow c 4)) 1)) (log1p a))

simplify724.0ms

Counts

84 → 84

Iterations

Useful iterations: done (722.0ms)

Iter	Nodes	Cost
0	129	990
1	317	906
2	1233	817
done	5000	814

prune622.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 33.4b

localize65.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
0.6b	(cbrt c)
0.7b	(pow (cbrt c) 4)
38.0b	(fmod (+ (* 1/2 (pow c 2)) (+ (* (* 1/24 (pow (* (cbrt c) (cbrt c)) 4)) (pow (cbrt c) 4)) 1)) (log1p a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt c)
1.0ms	(cbrt c)
5.0ms	(pow (cbrt c) 4)
0.0ms	(fmod (+ (* 1/2 (pow c 2)) (+ (* (* 1/24 (pow (* (cbrt c) (cbrt c)) 4)) (pow (cbrt c) 4)) 1)) (log1p a))

series962.0ms

Counts

4 → 12

Calls

4 calls:

292.0ms	(cbrt c)
287.0ms	(cbrt c)
356.0ms	(pow (cbrt c) 4)
27.0ms	(fmod (+ (* 1/2 (pow c 2)) (+ (* (* 1/24 (pow (* (cbrt c) (cbrt c)) 4)) (pow (cbrt c) 4)) 1)) (log1p a))

simplify583.0ms

Counts

62 → 62

Iterations

Useful iterations: done (581.0ms)

Iter	Nodes	Cost
0	86	620
1	221	590
2	762	496
done	5001	449

prune530.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 33.4b

localize68.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (cbrt c))
0.7b	(cbrt (cbrt c))
0.7b	(pow (cbrt c) 4)
38.0b	(fmod (+ (* 1/2 (pow c 2)) (+ (* (* 1/24 (pow (* (cbrt c) (* (pow (cbrt (cbrt c)) 2) (cbrt (cbrt c)))) 4)) (pow (cbrt c) 4)) 1)) (log1p a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

1.0ms	(cbrt (cbrt c))
1.0ms	(cbrt (cbrt c))
3.0ms	(pow (cbrt c) 4)
0.0ms	(fmod (+ (* 1/2 (pow c 2)) (+ (* (* 1/24 (pow (* (cbrt c) (* (pow (cbrt (cbrt c)) 2) (cbrt (cbrt c)))) 4)) (pow (cbrt c) 4)) 1)) (log1p a))

series1.2s

Counts

4 → 12

Calls

4 calls:

451.0ms	(cbrt (cbrt c))
350.0ms	(cbrt (cbrt c))
391.0ms	(pow (cbrt c) 4)
18.0ms	(fmod (+ (* 1/2 (pow c 2)) (+ (* (* 1/24 (pow (* (cbrt c) (* (pow (cbrt (cbrt c)) 2) (cbrt (cbrt c)))) 4)) (pow (cbrt c) 4)) 1)) (log1p a))

simplify606.0ms

Counts

68 → 68

Iterations

Useful iterations: done (602.0ms)

Iter	Nodes	Cost
0	100	776
1	246	686
2	817	544
done	5000	542

prune556.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 33.4b

regimes537.0ms

Accuracy

0% (0.2b remaining)

Error of 34.8b against oracle of 34.6b and baseline of 34.8b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	32
1	31	32
done	31	32

end0.0ms

sample19.5s

Algorithm

intervals

Results

13.6s	7997×	body	10240	exit
1.9s	2370×	body	1280	valid
1.2s	1585×	body	640	valid
681.0ms	5395×	body	80	nan
620.0ms	2685×	body	80	valid
269.0ms	162×	body	2560	valid
238.0ms	786×	body	320	valid
110.0ms	403×	body	160	valid
26.0ms	9×	body	5120	valid