Details

sample1.5s

Algorithm

intervals

Results

627.0ms	100×	body	2560	valid
614.0ms	214×	body	10240	exit
119.0ms	91×	body	1280	valid
65.0ms	501×	body	80	nan
24.0ms	31×	body	640	valid
10.0ms	18×	body	320	valid
5.0ms	10×	body	160	valid
1.0ms	6×	body	80	valid

simplify63.0ms

Calls

1 calls:

Slowest

62.0ms

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

prune37.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.0b

localize27.0ms

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)))

rewrite5.0ms

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`
1×	`acos-asin`

Calls

2 calls:

Slowest

1.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series11.0ms

Calls

2 calls:

Slowest

8.0ms	(fmod (cosh a) (* a a))
3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

simplify119.0ms

Calls

6 calls:

Slowest

37.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
34.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
29.0ms	(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))

prune279.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 58.7b

localize14.0ms

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)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

3 calls:

Slowest

2.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
0.0ms	(fmod (cosh a) (* a a))

series7.0ms

Calls

3 calls:

Slowest

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

simplify364.0ms

Calls

16 calls:

Slowest

55.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
46.0ms	(log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a))))))
41.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
40.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
31.0ms	(sqrt (fmod (cosh a) (* a a)))

prune492.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 58.7b

localize22.0ms

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×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `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))

series25.0ms

Calls

4 calls:

Slowest

15.0ms	(log (exp (sqrt (fmod (cosh a) (* a a)))))
6.0ms	(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))

simplify482.0ms

Calls

22 calls:

Slowest

66.0ms	(log (* (cbrt (exp (sqrt (fmod (cosh a) (* a a))))) (cbrt (exp (sqrt (fmod (cosh a) (* a a)))))))
44.0ms	(cbrt (sqrt (fmod (cosh a) (* a a))))
41.0ms	(sqrt (sqrt (fmod (cosh a) (* a a))))
38.0ms	(log (sqrt (exp (sqrt (fmod (cosh a) (* a a))))))
33.0ms	(sqrt (fmod (cosh a) (* a a)))

prune697.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 58.7b

localize8.0ms

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×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `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))

series21.0ms

Calls

4 calls:

Slowest

11.0ms	(log (exp (sqrt (fmod (cosh a) (* a a)))))
5.0ms	(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))

simplify455.0ms

Calls

22 calls:

Slowest

63.0ms	(log (* (cbrt (exp (sqrt (fmod (cosh a) (* a a))))) (cbrt (exp (sqrt (fmod (cosh a) (* a a)))))))
47.0ms	(cbrt (sqrt (fmod (cosh a) (* a a))))
34.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
34.0ms	(sqrt (sqrt (fmod (cosh a) (* a a))))
29.0ms	(log (sqrt (exp (sqrt (fmod (cosh a) (* a a))))))

prune819.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 58.7b

regimes354.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample33.7s

Algorithm

intervals

Results

19.9s	7916×	body	10240	exit
6.8s	3164×	body	2560	valid
2.9s	2544×	body	1280	valid
2.2s	16124×	body	80	nan
826.0ms	1216×	body	640	valid
380.0ms	613×	body	320	valid
132.0ms	335×	body	160	valid
46.0ms	9×	body	5120	nan
22.0ms	128×	body	80	valid
14.0ms	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