Details

sample1.8s

Algorithm

intervals

Results

948.0ms	263×	body	10240	exit
375.0ms	107×	body	2560	valid
177.0ms	74×	body	1280	valid
157.0ms	529×	body	80	nan
47.0ms	48×	body	640	valid
10.0ms	14×	body	320	valid
6.0ms	10×	body	160	valid
1.0ms	3×	body	80	valid

simplify14.5s

Counts

1 → 1

Iterations

Iter	Nodes
8	10109
7	1959
6	486
5	195
4	87
3	44
2	24
1	16
0	7

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.6b

localize18.0ms

Local error

Found 2 expressions with local error:

2.4b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.1b	(fmod (cosh a) (* a 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:

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

series11.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify1.1s

Counts

23 → 23

Iterations

Iter	Nodes
7	2139
6	697
5	319
4	160
3	98
2	70
1	54
0	31

prune202.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.3b

localize21.0ms

Local error

Found 3 expressions with local error:

2.4b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
12.1b	(log (exp (fmod (cosh a) (* a a))))
60.1b	(fmod (cosh a) (* a 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`

Counts

3 → 33

Calls

3 calls:

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

series7.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(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))

simplify1.7s

Counts

42 → 42

Iterations

Iter	Nodes
7	3561
6	1062
5	472
4	233
3	146
2	108
1	85
0	54

prune328.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 59.3b

localize32.0ms

Local error

Found 4 expressions with local error:

12.1b	(log (exp (fmod (cosh a) (* a a))))
60.1b	(fmod (cosh a) (* a a))
60.1b	(fmod (cosh a) (* a a))
60.1b	(fmod (cosh a) (* a a))

rewrite3.0ms

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:

2.0ms	(log (exp (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))

series7.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(log (exp (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))

simplify3.1s

Counts

52 → 52

Iterations

Iter	Nodes
8	5041
7	1242
6	474
5	224
4	125
3	89
2	73
1	60
0	38

prune556.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 59.3b

localize31.0ms

Local error

Found 4 expressions with local error:

3.1b	(log (cbrt (exp (fmod (cosh a) (* a a)))))
60.1b	(fmod (cosh a) (* a a))
60.1b	(fmod (cosh a) (* a a))
60.1b	(fmod (cosh a) (* a a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 41

Calls

4 calls:

2.0ms	(log (cbrt (exp (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))

series208.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(log (cbrt (exp (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))

simplify988.0ms

Counts

53 → 53

Iterations

Iter	Nodes
9	3073
8	994
7	428
6	220
5	140
4	97
3	79
2	71
1	62
0	44

prune496.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 59.3b

regimes246.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	13
1	13
0	12

end0.0ms

sample31.7s

Algorithm

intervals

Results

18.3s	7864×	body	10240	exit
6.7s	3191×	body	2560	valid
2.7s	2517×	body	1280	valid
1.9s	15773×	body	80	nan
869.0ms	1238×	body	640	valid
552.0ms	625×	body	320	valid
111.0ms	301×	body	160	valid
26.0ms	8×	body	1280	nan
20.0ms	128×	body	80	valid
5.0ms	4×	body	2560	nan
3.0ms	7×	body	320	nan
3.0ms	5×	body	640	nan
2.0ms	1×	body	5120	nan
1.0ms	3×	body	160	nan