Details

sample890.0ms

Algorithm

intervals

Results

655.0ms	243×	body	10240	exit
120.0ms	86×	body	1280	valid
30.0ms	46×	body	640	valid
18.0ms	177×	body	80	nan
11.0ms	77×	body	80	valid
10.0ms	25×	body	320	valid
8.0ms	4×	body	2560	valid
5.0ms	17×	body	160	valid
3.0ms	1×	body	5120	valid

simplify22.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

21.0ms

(fmod (cosh c) (log1p a))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.7b

localize20.0ms

Local error

Found 1 expressions with local error:

41.5b

(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 8

Calls

1 calls:

Slowest

1.0ms

(fmod (cosh c) (log1p a))

series28.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

28.0ms

(fmod (cosh c) (log1p a))

simplify17.0ms

Counts

3 → 11

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))

prune189.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 36.7b

localize31.0ms

Local error

Found 4 expressions with local error:

41.5b	(fmod (cosh c) (log1p a))
41.5b	(fmod (cosh c) (log1p a))
0.0b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
0.0b	(sqrt (fmod (cosh c) (log1p a)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 80

Calls

4 calls:

Slowest

16.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
1.0ms	(sqrt (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series22.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

14.0ms	(sqrt (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
3.0ms	(fmod (cosh c) (log1p a))

simplify2.0s

Counts

78 → 92

Calls

78 calls:

Slowest

177.0ms	(* (* (* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a)))) (sqrt (fmod (cosh c) (log1p a)))) (* (* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a)))) (sqrt (fmod (cosh c) (log1p a)))))
123.0ms	(* (* (cbrt (sqrt (fmod (cosh c) (log1p a)))) (cbrt (sqrt (fmod (cosh c) (log1p a))))) (* (cbrt (sqrt (fmod (cosh c) (log1p a)))) (cbrt (sqrt (fmod (cosh c) (log1p a))))))
53.0ms	(* (sqrt (sqrt (fmod (cosh c) (log1p a)))) (sqrt (sqrt (fmod (cosh c) (log1p a)))))
52.0ms	(* (sqrt (cbrt (fmod (cosh c) (log1p a)))) (sqrt (cbrt (fmod (cosh c) (log1p a)))))
51.0ms	(* (sqrt (sqrt (fmod (cosh c) (log1p a)))) (sqrt (sqrt (fmod (cosh c) (log1p a)))))

prune997.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 36.6b

localize45.0ms

Local error

Found 4 expressions with local error:

41.5b	(fmod (cosh c) (log1p a))
41.5b	(fmod (cosh c) (log1p a))
41.5b	(fmod (cosh c) (log1p a))
41.5b	(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 32

Calls

4 calls:

Slowest

1.0ms	(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))

series19.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

5.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))

simplify106.0ms

Counts

12 → 44

Calls

12 calls:

Slowest

17.0ms	(fmod (cosh c) (log1p a))
11.0ms	(fmod (cosh c) (log1p a))
11.0ms	(fmod (cosh c) (log1p a))
11.0ms	(fmod (cosh c) (log1p a))
10.0ms	(fmod (cosh c) (log1p a))

prune762.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 36.6b

localize28.0ms

Local error

Found 4 expressions with local error:

41.5b	(fmod (cosh c) (log1p a))
41.5b	(fmod (cosh c) (log1p a))
0.7b	(exp (log (* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))))
0.5b	(log (* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a)))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

36×	`pow1`
28×	`log-pow`
17×	`exp-prod`
16×	`sqrt-pow1` `pow1/2`
10×	`pow-prod-up`
7×	`add-exp-log`
6×	`pow-prod-down` `pow-sqr`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`pow2` `log-prod` `pow-plus` `rem-log-exp`
1×	`exp-sum` `prod-exp` `rem-exp-log`

Counts

4 → 68

Calls

4 calls:

Slowest

21.0ms	(exp (log (* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))))
7.0ms	(log (* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a)))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series40.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

31.0ms	(log (* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a)))))
4.0ms	(exp (log (* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))))
3.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify714.0ms

Counts

44 → 80

Calls

44 calls:

Slowest

135.0ms	(exp (* (cbrt (log (* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a)))))) (cbrt (log (* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))))))
49.0ms	(exp (log (sqrt (fmod (cosh c) (log1p a)))))
40.0ms	(log (sqrt (fmod (cosh c) (log1p a))))
35.0ms	(exp (sqrt (log (* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a)))))))
34.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))

prune1.1s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 36.5b

regimes1.1s

Accuracy

0% (0.2b remaining)

Error of 34.1b against oracle of 33.9b and baseline of 34.1b

bsearch4.0ms

end0.0ms

sample16.5s

Algorithm

intervals

Results

11.4s	7971×	body	10240	exit
2.0s	2313×	body	1280	valid
1.3s	1556×	body	640	valid
437.0ms	5219×	body	80	nan
311.0ms	2783×	body	80	valid
308.0ms	796×	body	320	valid
231.0ms	149×	body	2560	valid
73.0ms	396×	body	160	valid
15.0ms	7×	body	5120	valid