Details

sample1.9s

Algorithm

intervals

Results

800.0ms	238×	body	10240	exit
731.0ms	101×	body	2560	valid
90.0ms	65×	body	1280	valid
70.0ms	482×	body	80	nan
49.0ms	26×	body	320	valid
43.0ms	48×	body	640	valid
5.0ms	10×	body	160	valid
3.0ms	1×	body	5120	nan
2.0ms	1×	body	1280	nan
1.0ms	6×	body	80	valid

simplify123.0ms

Calls

1 calls:

Slowest

122.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.9b

localize29.0ms

Local error

Found 2 expressions with local error:

59.1b	(fmod (cosh a) (* a a))
2.4b	(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

3.0ms	(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)))

simplify254.0ms

Calls

6 calls:

Slowest

78.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
75.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
44.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
27.0ms	(fmod (cosh a) (pow a 2))
14.0ms	(fmod (cosh a) (pow a 2))

prune383.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 58.4b

localize25.0ms

Local error

Found 3 expressions with local error:

59.1b	(fmod (cosh a) (* a a))
11.1b	(log (exp (fmod (cosh a) (* a a))))
2.4b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

3 calls:

Slowest

6.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series11.0ms

Calls

3 calls:

Slowest

4.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
3.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(fmod (cosh a) (* a a))

simplify464.0ms

Calls

17 calls:

Slowest

69.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
63.0ms	(log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a))))))
55.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
51.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
41.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))

prune600.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 58.4b

localize22.0ms

Local error

Found 4 expressions with local error:

59.1b	(fmod (cosh a) (* a a))
59.1b	(fmod (cosh a) (* a a))
10.2b	(log (exp (sqrt (fmod (cosh a) (* a a)))))
2.4b	(acos (pow (* (sqrt (fmod (cosh a) (* a a))) (log (exp (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

7.0ms	(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)))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series34.0ms

Calls

4 calls:

Slowest

22.0ms	(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)))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify662.0ms

Calls

23 calls:

Slowest

77.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
51.0ms	(exp (sqrt (fmod (cosh a) (* a a))))
51.0ms	(log (sqrt (exp (sqrt (fmod (cosh a) (* a a))))))
50.0ms	(sqrt (sqrt (fmod (cosh a) (* a a))))
46.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))

prune925.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 58.4b

localize30.0ms

Local error

Found 4 expressions with local error:

59.1b	(fmod (cosh a) (* a a))
59.1b	(fmod (cosh a) (* a a))
59.1b	(fmod (cosh a) (* a a))
59.1b	(fmod (cosh a) (* a a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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` `add-log-exp`

Calls

4 calls:

Slowest

0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series14.0ms

Calls

4 calls:

Slowest

4.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify127.0ms

Calls

12 calls:

Slowest

17.0ms	(fmod (cosh a) (pow a 2))
14.0ms	(fmod (cosh a) (pow a 2))
14.0ms	(fmod (cosh a) (pow a 2))
12.0ms	(fmod (cosh a) (pow a 2))
12.0ms	(fmod (cosh a) (pow a 2))

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 58.4b

regimes413.0ms

Accuracy

0% (0.1b remaining)

Error of 59.2b against oracle of 59.1b and baseline of 59.2b

bsearch7.0ms

end0.0ms

sample34.3s

Algorithm

intervals

Results

20.3s	7929×	body	10240	exit
7.3s	3084×	body	2560	valid
2.9s	2494×	body	1280	valid
1.9s	15834×	body	80	nan
971.0ms	1359×	body	640	valid
315.0ms	653×	body	320	valid
138.0ms	295×	body	160	valid
25.0ms	10×	body	5120	nan
20.0ms	115×	body	80	valid
10.0ms	6×	body	2560	nan
7.0ms	8×	body	1280	nan
5.0ms	12×	body	320	nan
5.0ms	8×	body	640	nan
2.0ms	8×	body	160	nan