Details

sample1.2s

Algorithm

intervals

Results

774.0ms	217×	body	10240	exit
72.0ms	68×	body	1280	valid
33.0ms	54×	body	640	valid
19.0ms	162×	body	80	nan
14.0ms	92×	body	80	valid
9.0ms	21×	body	320	valid
7.0ms	17×	body	160	valid
7.0ms	3×	body	2560	valid
4.0ms	1×	body	5120	valid

simplify23.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

23.0ms

(fmod (cosh c) (log1p a))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.4b

localize12.0ms

Local error

Found 1 expressions with local error:

37.9b

(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

Slowest

1.0ms

(fmod (cosh c) (log1p a))

series16.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

16.0ms

(fmod (cosh c) (log1p a))

simplify27.0ms

Counts

3 → 13

Calls

3 calls:

Slowest

11.0ms	(fmod (cosh c) (log1p a))
8.0ms	(fmod (cosh c) (log1p a))
7.0ms	(fmod (cosh c) (log1p a))

prune169.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 33.4b

localize10.0ms

Local error

Found 1 expressions with local error:

37.9b

(fmod (cosh c) (log1p a))

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

Slowest

0.0ms

(fmod (cosh c) (log1p a))

series3.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

3.0ms

(fmod (cosh c) (log1p a))

simplify17.0ms

Counts

3 → 13

Calls

3 calls:

Slowest

6.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))

prune152.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 33.4b

localize27.0ms

Local error

Found 3 expressions with local error:

37.9b	(fmod (cosh c) (log1p a))
0.5b	(exp (log (fmod (cosh c) (log1p a))))
0.4b	(log (fmod (cosh c) (log1p a)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `log-prod` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`exp-prod` `add-exp-log`
3×	`expm1-log1p-u` `add-cbrt-cube` `exp-sum` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 43

Calls

3 calls:

Slowest

6.0ms	(exp (log (fmod (cosh c) (log1p a))))
2.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series44.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

29.0ms	(log (fmod (cosh c) (log1p a)))
11.0ms	(exp (log (fmod (cosh c) (log1p a))))
4.0ms	(fmod (cosh c) (log1p a))

simplify356.0ms

Counts

21 → 52

Calls

21 calls:

Slowest

97.0ms	(exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))
37.0ms	(exp (log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a))))))
30.0ms	(log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a)))))
28.0ms	(exp (sqrt (log (fmod (cosh c) (log1p a)))))
27.0ms	(exp (log (sqrt (fmod (cosh c) (log1p a)))))

prune675.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 33.2b

localize31.0ms

Local error

Found 4 expressions with local error:

37.9b	(fmod (cosh c) (log1p a))
37.9b	(fmod (cosh c) (log1p a))
37.9b	(fmod (cosh c) (log1p a))
0.5b	(exp (* (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (log (fmod (cosh c) (log1p a))))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u`
1×	`exp-prod` `exp-to-pow` `rem-exp-log`

Counts

4 → 43

Calls

4 calls:

Slowest

15.0ms	(exp (* (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (log (fmod (cosh c) (log1p a))))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series10.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

3.0ms	(exp (* (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (log (fmod (cosh c) (log1p a))))))
3.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify400.0ms

Counts

15 → 55

Calls

15 calls:

Slowest

133.0ms	(exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))
124.0ms	(exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))
72.0ms	(* (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (log (fmod (cosh c) (log1p a)))))
7.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))

prune793.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 33.2b

regimes595.0ms

Accuracy

0% (0.2b remaining)

Error of 33.6b against oracle of 33.4b and baseline of 33.6b

bsearch2.0ms

end0.0ms

sample20.6s

Algorithm

intervals

Results

15.0s	7912×	body	10240	exit
2.1s	2261×	body	1280	valid
1.5s	1601×	body	640	valid
427.0ms	5223×	body	80	nan
368.0ms	2863×	body	80	valid
309.0ms	734×	body	320	valid
281.0ms	143×	body	2560	valid
119.0ms	388×	body	160	valid
26.0ms	10×	body	5120	valid