Details

sample966.0ms

Algorithm

intervals

Results

677.0ms	235×	body	10240	exit
181.0ms	72×	body	1280	valid
24.0ms	38×	body	640	valid
21.0ms	180×	body	80	nan
15.0ms	109×	body	80	valid
8.0ms	22×	body	320	valid
6.0ms	2×	body	2560	valid
4.0ms	13×	body	160	valid

simplify12.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

11.0ms

(fmod (cosh c) (log1p a))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize13.0ms

Local error

Found 2 expressions with local error:

34.1b	(fmod (cosh c) (log1p a))
0.0b	(log1p a)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Counts

2 → 16

Calls

2 calls:

Slowest

1.0ms	(fmod (cosh c) (log1p a))
0.0ms	(log1p a)

series29.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

27.0ms	(fmod (cosh c) (log1p a))
1.0ms	(log1p a)

simplify20.0ms

Counts

6 → 22

Calls

6 calls:

Slowest

5.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))
1.0ms	(log1p a)
1.0ms	(log1p a)

prune295.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 29.2b

localize21.0ms

Local error

Found 4 expressions with local error:

34.1b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`pow1/3`

Counts

4 → 44

Calls

4 calls:

Slowest

1.0ms	(cbrt (log1p a))
1.0ms	(cbrt (log1p a))
1.0ms	(cbrt (log1p a))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

series463.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

186.0ms	(cbrt (log1p a))
164.0ms	(cbrt (log1p a))
108.0ms	(cbrt (log1p a))
5.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify142.0ms

Counts

21 → 56

Calls

21 calls:

Slowest

12.0ms	(pow (log1p a) 1/3)
11.0ms	(pow (log1p a) 1/3)
11.0ms	(fmod (cosh c) (log1p a))
10.0ms	(fmod (cosh c) (log1p a))
10.0ms	(pow (log1p a) 1/3)

prune831.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 28.6b

localize54.0ms

Local error

Found 4 expressions with local error:

34.1b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
1.0b	(log (fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a)))))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
3×	`log-prod`
2×	`pow1/3`
1×	`rem-log-exp` `log-pow`

Counts

4 → 45

Calls

4 calls:

Slowest

2.0ms	(log (fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a)))))
1.0ms	(cbrt (log1p a))
1.0ms	(cbrt (log1p a))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

series339.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

166.0ms	(cbrt (log1p a))
134.0ms	(cbrt (log1p a))
34.0ms	(log (fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a)))))
5.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify389.0ms

Counts

22 → 57

Calls

22 calls:

Slowest

97.0ms	(log (* (cbrt (fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))) (cbrt (fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a)))))))
79.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
69.0ms	(log (sqrt (fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))))
17.0ms	(log (fmod (cosh c) (log1p a)))
13.0ms	(fmod (cosh c) (log1p a))

prune996.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 28.6b

localize100.0ms

Local error

Found 4 expressions with local error:

34.1b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
34.1b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
34.1b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
1.0b	(log (fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a)))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
3×	`log-prod`
1×	`rem-log-exp` `log-pow`

Counts

4 → 37

Calls

4 calls:

Slowest

2.0ms	(log (fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a)))))
1.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

series43.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

28.0ms	(log (fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a)))))
6.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
5.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
5.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify375.0ms

Counts

16 → 49

Calls

16 calls:

Slowest

92.0ms	(log (* (cbrt (fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))) (cbrt (fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a)))))))
80.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
73.0ms	(log (sqrt (fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))))
15.0ms	(log (fmod (cosh c) (log1p a)))
13.0ms	(fmod (cosh c) (log1p a))

prune879.0ms

Pruning

36 alts after pruning (34 fresh and 2 done)

Merged error: 28.5b

regimes1.8s

Accuracy

0% (1.6b remaining)

Error of 33.6b against oracle of 32.0b and baseline of 33.6b

bsearch1.0ms

end0.0ms

sample19.5s

Algorithm

intervals

Results

14.3s	7772×	body	10240	exit
2.2s	2349×	body	1280	valid
808.0ms	5267×	body	80	nan
785.0ms	1548×	body	640	valid
342.0ms	2813×	body	80	valid
271.0ms	768×	body	320	valid
212.0ms	128×	body	2560	valid
88.0ms	381×	body	160	valid
31.0ms	13×	body	5120	valid