Details

sample1.7s

Algorithm

intervals

Results

1.1s	214×	body	10240	exit
270.0ms	100×	body	2560	valid
125.0ms	91×	body	1280	valid
67.0ms	501×	body	80	nan
57.0ms	31×	body	640	valid
11.0ms	18×	body	320	valid
4.0ms	10×	body	160	valid
1.0ms	6×	body	80	valid

simplify61.0ms

Calls

1 calls:

Slowest

60.0ms

(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.0b

localize39.0ms

Local error

Found 2 expressions with local error:

58.7b	(fmod (cosh a) (* a a))
0.9b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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`
1×	`acos-asin`

Calls

2 calls:

Slowest

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

series19.0ms

Calls

2 calls:

Slowest

14.0ms	(fmod (cosh a) (* a a))
4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

simplify155.0ms

Calls

6 calls:

Slowest

51.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
43.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
42.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
6.0ms	(fmod (cosh a) (pow a 2))
6.0ms	(fmod (cosh a) (pow a 2))

prune364.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 58.7b

localize23.0ms

Local error

Found 3 expressions with local error:

58.7b	(fmod (cosh a) (* a a))
8.5b	(log (exp (fmod (cosh a) (* a a))))
0.9b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

3 calls:

Slowest

9.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
5.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series12.0ms

Calls

3 calls:

Slowest

5.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
4.0ms	(fmod (cosh a) (* a a))
4.0ms	(log (exp (fmod (cosh a) (* a a))))

simplify323.0ms

Calls

16 calls:

Slowest

60.0ms	(log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a))))))
39.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
38.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
35.0ms	(cbrt (fmod (cosh a) (* a a)))
34.0ms	(sqrt (fmod (cosh a) (* a a)))

prune618.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 58.7b

localize26.0ms

Local error

Found 4 expressions with local error:

58.7b	(fmod (cosh a) (* a a))
58.7b	(fmod (cosh a) (* a a))
7.4b	(log (exp (sqrt (fmod (cosh a) (* a a)))))
0.9b	(acos (pow (* (sqrt (fmod (cosh a) (* a a))) (log (exp (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

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

series19.0ms

Calls

4 calls:

Slowest

12.0ms	(log (exp (sqrt (fmod (cosh a) (* a a)))))
3.0ms	(acos (pow (* (sqrt (fmod (cosh a) (* a a))) (log (exp (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify591.0ms

Calls

22 calls:

Slowest

60.0ms	(log (* (cbrt (exp (sqrt (fmod (cosh a) (* a a))))) (cbrt (exp (sqrt (fmod (cosh a) (* a a)))))))
58.0ms	(log (sqrt (exp (sqrt (fmod (cosh a) (* a a))))))
53.0ms	(sqrt (sqrt (fmod (cosh a) (* a a))))
48.0ms	(cbrt (sqrt (fmod (cosh a) (* a a))))
48.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))

prune880.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 58.7b

localize16.0ms

Local error

Found 4 expressions with local error:

58.7b	(fmod (cosh a) (* a a))
58.7b	(fmod (cosh a) (* a a))
7.4b	(log (exp (sqrt (fmod (cosh a) (* a a)))))
0.9b	(acos (pow (* (sqrt (fmod (cosh a) (* a a))) (log (exp (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

3.0ms	(log (exp (sqrt (fmod (cosh a) (* a a)))))
2.0ms	(acos (pow (* (sqrt (fmod (cosh a) (* a a))) (log (exp (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series18.0ms

Calls

4 calls:

Slowest

11.0ms	(log (exp (sqrt (fmod (cosh a) (* a a)))))
3.0ms	(acos (pow (* (sqrt (fmod (cosh a) (* a a))) (log (exp (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify495.0ms

Calls

22 calls:

Slowest

63.0ms	(log (* (cbrt (exp (sqrt (fmod (cosh a) (* a a))))) (cbrt (exp (sqrt (fmod (cosh a) (* a a)))))))
53.0ms	(log (sqrt (exp (sqrt (fmod (cosh a) (* a a))))))
52.0ms	(sqrt (cbrt (fmod (cosh a) (* a a))))
28.0ms	(sqrt (sqrt (fmod (cosh a) (* a a))))
28.0ms	(sqrt (sqrt (fmod (cosh a) (* a a))))

prune891.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 58.7b

regimes411.0ms

Accuracy

0% (0.1b remaining)

Error of 59.1b against oracle of 59.0b and baseline of 59.1b

bsearch8.0ms

end0.0ms

sample32.8s

Algorithm

intervals

Results

19.3s	7916×	body	10240	exit
6.8s	3164×	body	2560	valid
2.7s	2544×	body	1280	valid
2.3s	16124×	body	80	nan
838.0ms	1216×	body	640	valid
315.0ms	613×	body	320	valid
109.0ms	335×	body	160	valid
22.0ms	9×	body	5120	nan
21.0ms	128×	body	80	valid
15.0ms	10×	body	2560	nan
4.0ms	7×	body	640	nan
3.0ms	4×	body	1280	nan
1.0ms	4×	body	160	nan
1.0ms	2×	body	320	nan