Details

sample1.5s

Algorithm

intervals

Results

739.0ms	226×	body	10240	exit
361.0ms	113×	body	2560	valid
143.0ms	80×	body	1280	valid
56.0ms	408×	body	80	nan
36.0ms	35×	body	640	valid
12.0ms	19×	body	320	valid
2.0ms	5×	body	160	valid
1.0ms	4×	body	80	valid

simplify144.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

143.0ms

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.0b

localize28.0ms

Local error

Found 2 expressions with local error:

59.9b	(fmod (cosh a) (* a a))
1.2b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

rewrite4.0ms

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`

Counts

2 → 17

Calls

2 calls:

Slowest

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

series24.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

19.0ms	(fmod (cosh a) (* a a))
5.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

simplify242.0ms

Counts

6 → 23

Calls

6 calls:

Slowest

70.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
70.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
55.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
16.0ms	(fmod (cosh a) (pow a 2))
15.0ms	(fmod (cosh a) (pow a 2))

prune295.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 59.7b

localize31.0ms

Local error

Found 3 expressions with local error:

59.9b	(fmod (cosh a) (* a a))
8.5b	(log (exp (fmod (cosh a) (* a a))))
1.2b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))

rewrite8.0ms

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`

Counts

3 → 33

Calls

3 calls:

Slowest

5.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
0.0ms	(fmod (cosh a) (* a a))

series10.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

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

simplify439.0ms

Counts

16 → 42

Calls

16 calls:

Slowest

83.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
71.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
63.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
45.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
44.0ms	(log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a))))))

prune944.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 59.7b

localize63.0ms

Local error

Found 4 expressions with local error:

59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))
8.3b	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 39

Calls

4 calls:

Slowest

6.0ms	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))
1.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series220.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

209.0ms	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))
4.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify740.0ms

Counts

18 → 51

Calls

18 calls:

Slowest

158.0ms	(log (sqrt (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))))
155.0ms	(log (* (cbrt (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (cbrt (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))))
87.0ms	(pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3)
66.0ms	(pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3)
65.0ms	(pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3)

prune660.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 59.7b

localize37.0ms

Local error

Found 4 expressions with local error:

59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))
1.7b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
1.7b	(log (sqrt (exp (fmod (cosh a) (* a a)))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod` `log-pow`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`pow1` `sqrt-pow1`
6×	`exp-prod` `add-exp-log` `sqrt-prod`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`pow1/2` `rem-log-exp`

Counts

4 → 58

Calls

4 calls:

Slowest

3.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
3.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series321.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

186.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
124.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
8.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify961.0ms

Counts

34 → 70

Calls

34 calls:

Slowest

63.0ms	(log (* (cbrt (sqrt (exp (fmod (cosh a) (* a a))))) (cbrt (sqrt (exp (fmod (cosh a) (* a a)))))))
58.0ms	(log (* (cbrt (sqrt (exp (fmod (cosh a) (* a a))))) (cbrt (sqrt (exp (fmod (cosh a) (* a a)))))))
53.0ms	(sqrt (exp (fmod (cosh a) (* a a))))
49.0ms	(log (sqrt (exp (fmod (cosh a) (pow a 2)))))
49.0ms	(log (sqrt (exp (fmod (cosh a) (pow a 2)))))

prune816.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 59.7b

regimes299.0ms

Accuracy

0% (0.4b remaining)

Error of 59.5b against oracle of 59.1b and baseline of 59.5b

bsearch4.0ms

end0.0ms

sample33.1s

Algorithm

intervals

Results

19.5s	7973×	body	10240	exit
6.7s	3177×	body	2560	valid
2.7s	2484×	body	1280	valid
2.4s	15744×	body	80	nan
855.0ms	1277×	body	640	valid
357.0ms	626×	body	320	valid
99.0ms	310×	body	160	valid
22.0ms	126×	body	80	valid
20.0ms	8×	body	5120	nan
15.0ms	10×	body	2560	nan
5.0ms	6×	body	1280	nan
4.0ms	8×	body	640	nan
3.0ms	7×	body	320	nan
2.0ms	7×	body	160	nan