Details

sample1.3s

Algorithm

intervals

Results

628.0ms	240×	body	10240	exit
263.0ms	107×	body	2560	valid
165.0ms	91×	body	1280	valid
74.0ms	494×	body	80	nan
18.0ms	29×	body	640	valid
8.0ms	18×	body	320	valid
2.0ms	1×	body	5120	nan
2.0ms	8×	body	160	valid
1.0ms	3×	body	80	valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	10
1	16	10
2	24	10
3	44	10
4	89	10
5	195	10
6	633	10
7	2582	10
done	5000	10

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.5b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh a)
0.0b	(log1p a)
1.5b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
58.8b	(fmod (cosh a) (* a a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 30

Calls

4 calls:

3.0ms	(cosh a)
0.0ms	(log1p a)
2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series91.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(cosh a)
3.0ms	(log1p a)
7.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
17.0ms	(fmod (cosh a) (* a a))

simplify4.5s

Counts

42 → 42

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	63	343
1	96	342
2	154	302
3	274	302
4	531	302
5	1205	302
6	4240	302
done	5001	302

prune192.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 58.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p a)
1.5b	(acos (pow (fmod (cosh a) (* a a)) (log (exp (log1p a)))))
3.7b	(log (exp (log1p a)))
58.8b	(fmod (cosh a) (* a a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`acos-asin` `rem-log-exp`

Counts

4 → 37

Calls

4 calls:

0.0ms	(log1p a)
1.0ms	(acos (pow (fmod (cosh a) (* a a)) (log (exp (log1p a)))))
3.0ms	(log (exp (log1p a)))
0.0ms	(fmod (cosh a) (* a a))

series11.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(log1p a)
4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log (exp (log1p a)))))
2.0ms	(log (exp (log1p a)))
3.0ms	(fmod (cosh a) (* a a))

simplify4.8s

Counts

49 → 49

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	58	407
1	78	354
2	101	311
3	141	311
4	225	311
5	438	311
6	1157	311
7	4287	311
done	5000	311

prune249.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 58.9b

localize42.0ms

Local error

Found 4 expressions with local error:

1.5b	(acos (pow (fmod (cosh a) (* a a)) (+ (* 2 (log (cbrt (exp (log1p a))))) (log (cbrt (exp (log1p a)))))))
3.8b	(log (cbrt (exp (log1p a))))
3.8b	(log (cbrt (exp (log1p a))))
58.8b	(fmod (cosh a) (* a a))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-prod`
4×	`log-pow` `add-cbrt-cube` `add-log-exp`
2×	`pow1/3` `rem-log-exp`
1×	`acos-asin`

Counts

4 → 47

Calls

4 calls:

1.0ms	(acos (pow (fmod (cosh a) (* a a)) (+ (* 2 (log (cbrt (exp (log1p a))))) (log (cbrt (exp (log1p a)))))))
6.0ms	(log (cbrt (exp (log1p a))))
5.0ms	(log (cbrt (exp (log1p a))))
1.0ms	(fmod (cosh a) (* a a))

series564.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(acos (pow (fmod (cosh a) (* a a)) (+ (* 2 (log (cbrt (exp (log1p a))))) (log (cbrt (exp (log1p a)))))))
333.0ms	(log (cbrt (exp (log1p a))))
222.0ms	(log (cbrt (exp (log1p a))))
3.0ms	(fmod (cosh a) (* a a))

simplify1.6s

Counts

59 → 59

Iterations

Useful iterations: 3 (127.0ms)

Iter	Nodes	Cost
0	64	690
1	95	569
2	176	473
3	356	449
4	1582	449
done	5001	449

prune304.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 58.9b

localize37.0ms

Local error

Found 4 expressions with local error:

3.6b	(log (sqrt (cbrt (exp (log1p a)))))
3.6b	(log (sqrt (cbrt (exp (log1p a)))))
3.8b	(log (cbrt (exp (log1p a))))
58.8b	(fmod (cosh a) (* a a))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
10×	`log-pow`
9×	`pow1` `cbrt-prod`
7×	`add-exp-log`
4×	`sqrt-pow1` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3` `rem-log-exp`
2×	`pow1/2`

Counts

4 → 65

Calls

4 calls:

4.0ms	(log (sqrt (cbrt (exp (log1p a)))))
4.0ms	(log (sqrt (cbrt (exp (log1p a)))))
3.0ms	(log (cbrt (exp (log1p a))))
0.0ms	(fmod (cosh a) (* a a))

series850.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(log (sqrt (cbrt (exp (log1p a)))))
299.0ms	(log (sqrt (cbrt (exp (log1p a)))))
259.0ms	(log (cbrt (exp (log1p a))))
3.0ms	(fmod (cosh a) (* a a))

simplify1.6s

Counts

77 → 77

Iterations

Useful iterations: 5 (138.0ms)

Iter	Nodes	Cost
0	71	705
1	89	666
2	105	606
3	121	603
4	142	603
5	180	597
6	265	597
7	563	597
8	1748	597
done	5000	597

prune382.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 58.9b

regimes208.0ms

Accuracy

75.1% (0.4b remaining)

Error of 59.0b against oracle of 58.6b and baseline of 60.1b

bsearch220.0ms

Steps

Iters	Range		Point
8	4.907784520098122e-166	1.096458200021764e-161	1.542338768776222e-162

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	37
1	22	37
done	22	37

end0.0ms

sample35.1s

Algorithm

intervals

Results

21.0s	7715×	body	10240	exit
7.7s	3175×	body	2560	valid
3.1s	2518×	body	1280	valid
1.2s	16132×	body	80	nan
791.0ms	1260×	body	640	valid
259.0ms	634×	body	320	valid
88.0ms	299×	body	160	valid
22.0ms	8×	body	5120	nan
17.0ms	114×	body	80	valid
16.0ms	13×	body	2560	nan
10.0ms	12×	body	1280	nan
3.0ms	8×	body	640	nan
3.0ms	9×	body	320	nan
1.0ms	2×	body	160	nan