Details

sample2.1s

Algorithm

intervals

Results

1.4s	285×	body	10240	exit
288.0ms	96×	body	2560	valid
109.0ms	71×	body	1280	valid
93.0ms	599×	body	80	nan
40.0ms	42×	body	640	valid
24.0ms	33×	body	320	valid
4.0ms	9×	body	160	valid
1.0ms	5×	body	80	valid

simplify83.0ms

Calls

1 calls:

Slowest

54.0ms

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.1b

localize36.0ms

Local error

Found 2 expressions with local error:

59.1b	(fmod (cosh a) (* a a))
1.8b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

rewrite7.0ms

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

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

series33.0ms

Calls

2 calls:

Slowest

30.0ms	(fmod (cosh a) (* a a))
2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

simplify130.0ms

Calls

6 calls:

Slowest

44.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
40.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
26.0ms	(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))

prune345.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 58.7b

localize10.0ms

Local error

Found 3 expressions with local error:

59.1b	(fmod (cosh a) (* a a))
10.7b	(log (exp (fmod (cosh a) (* a a))))
1.8b	(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))

series10.0ms

Calls

3 calls:

Slowest

5.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(log (exp (fmod (cosh a) (* a a))))

simplify295.0ms

Calls

16 calls:

Slowest

49.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
40.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
37.0ms	(log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a))))))
32.0ms	(cbrt (fmod (cosh a) (* a a)))
28.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))

prune426.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 58.6b

localize17.0ms

Local error

Found 4 expressions with local error:

59.1b	(fmod (cosh a) (* a a))
59.1b	(fmod (cosh a) (* a a))
9.7b	(log (exp (sqrt (fmod (cosh a) (* a a)))))
1.8b	(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))

series29.0ms

Calls

4 calls:

Slowest

19.0ms	(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))

simplify445.0ms

Calls

22 calls:

Slowest

49.0ms	(sqrt (sqrt (fmod (cosh a) (* a a))))
43.0ms	(log (sqrt (exp (sqrt (fmod (cosh a) (* a a))))))
43.0ms	(sqrt (sqrt (fmod (cosh a) (* a a))))
43.0ms	(cbrt (sqrt (fmod (cosh a) (* a a))))
37.0ms	(log (* (cbrt (exp (sqrt (fmod (cosh a) (* a a))))) (cbrt (exp (sqrt (fmod (cosh a) (* a a)))))))

prune523.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 58.6b

localize37.0ms

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))

rewrite1.0ms

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`

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))

series8.0ms

Calls

4 calls:

Slowest

2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify89.0ms

Calls

12 calls:

Slowest

10.0ms	(fmod (cosh a) (pow a 2))
10.0ms	(fmod (cosh a) (pow a 2))
9.0ms	(fmod (cosh a) (pow a 2))
9.0ms	(fmod (cosh a) (pow a 2))
8.0ms	(fmod (cosh a) (pow a 2))

prune759.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 58.6b

regimes441.0ms

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample33.3s

Algorithm

intervals

Results

19.6s	7907×	body	10240	exit
6.7s	3166×	body	2560	valid
2.8s	2530×	body	1280	valid
2.2s	16087×	body	80	nan
811.0ms	1244×	body	640	valid
650.0ms	636×	body	320	valid
95.0ms	292×	body	160	valid
22.0ms	132×	body	80	valid
11.0ms	18×	body	640	nan
10.0ms	8×	body	2560	nan
8.0ms	3×	body	5120	nan
5.0ms	5×	body	1280	nan
2.0ms	7×	body	160	nan
1.0ms	3×	body	320	nan