Details

sample1.9s

Algorithm

intervals

Results

998.0ms	271×	body	10240	exit
487.0ms	115×	body	2560	valid
100.0ms	538×	body	80	nan
93.0ms	64×	body	1280	valid
66.0ms	44×	body	640	valid
15.0ms	25×	body	320	valid
3.0ms	5×	body	160	valid
2.0ms	2×	body	1280	nan
1.0ms	3×	body	80	valid
1.0ms	1×	body	640	nan

simplify1.3s

Counts: 1 → 1

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.1b

localize47.0ms

Local error

Found 2 expressions with local error:

60.0b	(fmod (cosh a) (* a a))
1.2b	(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`

Counts

2 → 17

Calls

2 calls:

Slowest

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

series19.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

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

simplify1.2s

Counts: 23 → 23

prune264.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 59.6b

localize52.0ms

Local error

Found 3 expressions with local error:

60.0b	(fmod (cosh a) (* a a))
12.2b	(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

4.0ms	(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

Counts

3 → 9

Calls

3 calls:

Slowest

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

simplify2.3s

Counts: 42 → 42

prune542.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 59.6b

localize73.0ms

Local error

Found 4 expressions with local error:

60.0b	(fmod (cosh a) (* a a))
60.0b	(fmod (cosh a) (* a a))
60.0b	(fmod (cosh a) (* a a))
12.2b	(log (exp (fmod (cosh a) (* a a))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

Slowest

4.0ms	(log (exp (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))

series8.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

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

simplify4.9s

Counts: 52 → 52

prune867.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 59.6b

localize54.0ms

Local error

Found 4 expressions with local error:

60.0b	(fmod (cosh a) (* a a))
60.0b	(fmod (cosh a) (* a a))
60.0b	(fmod (cosh a) (* a a))
1.2b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

rewrite3.0ms

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`
1×	`acos-asin`

Counts

4 → 33

Calls

4 calls:

Slowest

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

series11.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

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

simplify1.2s

Counts: 45 → 45

prune535.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 59.6b

regimes374.0ms

Accuracy

0% (0.4b remaining)

Error of 59.6b against oracle of 59.1b and baseline of 59.6b

bsearch3.0ms

end0.0ms

sample32.8s

Algorithm

intervals

Results

18.8s	7833×	body	10240	exit
7.2s	3254×	body	2560	valid
2.7s	2441×	body	1280	valid
2.2s	15972×	body	80	nan
919.0ms	1232×	body	640	valid
314.0ms	642×	body	320	valid
103.0ms	317×	body	160	valid
19.0ms	114×	body	80	valid
12.0ms	5×	body	5120	nan
6.0ms	5×	body	2560	nan
5.0ms	7×	body	640	nan
3.0ms	4×	body	1280	nan
3.0ms	7×	body	320	nan
2.0ms	7×	body	160	nan