Details

sample972.0ms

Algorithm

intervals

Results

445.0ms	250×	body	10240	exit
156.0ms	97×	body	2560	valid
56.0ms	79×	body	1280	valid
20.0ms	484×	body	80	nan
20.0ms	47×	body	640	valid
6.0ms	23×	body	320	valid
1.0ms	8×	body	160	valid
0.0ms	2×	body	80	valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	10
1	16	10
2	24	10
3	44	10
4	85	10
5	185	10
6	565	10
7	2182	10
done	5000	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
2.3b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.4b	(fmod (cosh a) (* a a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 32

Calls

3 calls:

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

series126.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
8.0ms	(fmod (cosh a) (* a a))

simplify3.1s

Counts

41 → 41

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	51	507
1	92	492
2	197	450
3	448	450
4	1223	450
5	4735	450
done	5000	450

prune124.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 60.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
2.3b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
12.9b	(log (exp (fmod (cosh a) (* a a))))
60.4b	(fmod (cosh a) (* a a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

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

series116.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
3.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))

simplify2.9s

Counts

63 → 63

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	78	857
1	136	729
2	247	668
3	497	668
4	1300	668
5	4937	668
done	5000	668

prune205.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) 3)
0.2b	(cbrt (pow (fmod (cosh a) (* a a)) 3))
2.3b	(acos (pow (cbrt (pow (fmod (cosh a) (* a a)) 3)) (log1p a)))
60.4b	(fmod (cosh a) (* a a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow-unpow`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`acos-asin` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 59

Calls

4 calls:

3.0ms	(pow (fmod (cosh a) (* a a)) 3)
2.0ms	(cbrt (pow (fmod (cosh a) (* a a)) 3))
0.0ms	(acos (pow (cbrt (pow (fmod (cosh a) (* a a)) 3)) (log1p a)))
0.0ms	(fmod (cosh a) (* a a))

series41.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(pow (fmod (cosh a) (* a a)) 3)
2.0ms	(cbrt (pow (fmod (cosh a) (* a a)) 3))
3.0ms	(acos (pow (cbrt (pow (fmod (cosh a) (* a a)) 3)) (log1p a)))
2.0ms	(fmod (cosh a) (* a a))

simplify1.3s

Counts

71 → 71

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	69	959
1	133	771
2	316	684
3	1729	684
done	5001	684

prune185.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 60.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))))
1.3b	(log (exp (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))))
2.3b	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
60.4b	(fmod (cosh a) (pow a 2))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 43

Calls

4 calls:

1.0ms	(exp (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))))
1.0ms	(log (exp (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))))
0.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
0.0ms	(fmod (cosh a) (pow a 2))

series42.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(exp (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))))
3.0ms	(log (exp (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))))
3.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
2.0ms	(fmod (cosh a) (pow a 2))

simplify1.5s

Counts

55 → 55

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	54	756
1	80	716
2	108	632
3	159	632
4	259	632
5	518	632
6	1405	632
done	5000	632

prune165.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 60.3b

regimes35.0ms

Accuracy

0% (0.4b remaining)

Error of 60.3b against oracle of 59.9b and baseline of 60.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
done	12	14

end0.0ms

sample22.6s

Algorithm

intervals

Results

13.7s	7889×	body	10240	exit
5.1s	3208×	body	2560	valid
1.8s	2482×	body	1280	valid
674.0ms	15931×	body	80	nan
493.0ms	1264×	body	640	valid
168.0ms	627×	body	320	valid
59.0ms	308×	body	160	valid
15.0ms	7×	body	5120	nan
11.0ms	111×	body	80	valid
7.0ms	8×	body	2560	nan
5.0ms	9×	body	1280	nan
2.0ms	7×	body	640	nan
2.0ms	8×	body	320	nan
1.0ms	5×	body	160	nan