Details

sample1.1s

Algorithm

intervals

Results

850.0ms	260×	body	10240	exit
109.0ms	65×	body	1280	valid
52.0ms	178×	body	80	nan
34.0ms	57×	body	640	valid
14.0ms	98×	body	80	valid
12.0ms	25×	body	320	valid
4.0ms	11×	body	160	valid

simplify30.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

29.0ms

(fmod (cosh c) (log1p a))

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.1b

localize64.0ms

Local error

Found 1 expressions with local error:

36.5b

(fmod (cosh c) (log1p a))

rewrite5.0ms

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

2.0ms

(fmod (cosh c) (log1p a))

series87.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

87.0ms

(fmod (cosh c) (log1p a))

simplify19.0ms

Counts

3 → 11

Calls

3 calls:

Slowest

7.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))

prune119.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 32.1b

localize16.0ms

Local error

Found 3 expressions with local error:

36.5b	(fmod (cosh c) (log1p a))
2.3b	(log (fmod (cosh c) (log1p a)))
0.6b	(exp (log (fmod (cosh c) (log1p a))))

rewrite5.0ms

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×	`add-cbrt-cube` `exp-sum` `insert-posit16` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 37

Calls

3 calls:

Slowest

3.0ms	(exp (log (fmod (cosh c) (log1p a))))
2.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series34.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

28.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(exp (log (fmod (cosh c) (log1p a))))

simplify457.0ms

Counts

21 → 46

Calls

21 calls:

Slowest

159.0ms	(exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))
55.0ms	(exp (sqrt (log (fmod (cosh c) (log1p a)))))
37.0ms	(exp (log (sqrt (fmod (cosh c) (log1p a)))))
37.0ms	(exp (log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a))))))
35.0ms	(log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a)))))

prune489.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 32.0b

localize14.0ms

Local error

Found 4 expressions with local error:

36.5b	(fmod (cosh c) (log1p a))
36.5b	(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)))

rewrite19.0ms

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

14.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
2.0ms	(sqrt (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series24.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

10.0ms	(sqrt (fmod (cosh c) (log1p a)))
5.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
5.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))

simplify2.0s

Counts

78 → 92

Calls

78 calls:

Slowest

168.0ms	(* (* (* (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)))))
119.0ms	(* (* (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))))))
59.0ms	(* (cbrt (sqrt (fmod (cosh c) (log1p a)))) (cbrt (sqrt (fmod (cosh c) (log1p a)))))
57.0ms	(* (sqrt (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a))))) (sqrt (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a))))))
54.0ms	(* (sqrt (sqrt (fmod (cosh c) (log1p a)))) (sqrt (sqrt (fmod (cosh c) (log1p a)))))

prune974.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 32.0b

localize49.0ms

Local error

Found 4 expressions with local error:

36.5b	(fmod (cosh c) (log1p a))
36.5b	(fmod (cosh c) (log1p a))
36.5b	(fmod (cosh c) (log1p a))
2.3b	(log (fmod (cosh c) (log1p a)))

rewrite3.0ms

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

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

series27.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

20.0ms	(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))

simplify244.0ms

Counts

16 → 49

Calls

16 calls:

Slowest

63.0ms	(log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a)))))
38.0ms	(log (sqrt (fmod (cosh c) (log1p a))))
13.0ms	(fmod (cosh c) (log1p a))
12.0ms	(log (fmod (cosh c) (log1p a)))
12.0ms	(log (fmod (cosh c) (log1p a)))

prune760.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 32.0b

regimes668.0ms

Accuracy

0% (0.2b remaining)

Error of 33.9b against oracle of 33.7b and baseline of 33.9b

bsearch1.0ms

end0.0ms

sample19.0s

Algorithm

intervals

Results

14.0s	7915×	body	10240	exit
2.0s	2301×	body	1280	valid
773.0ms	5351×	body	80	nan
741.0ms	1521×	body	640	valid
398.0ms	2815×	body	80	valid
301.0ms	796×	body	320	valid
207.0ms	133×	body	2560	valid
105.0ms	420×	body	160	valid
36.0ms	14×	body	5120	valid