Details

sample1.4s

Algorithm

intervals

Results

817.0ms	278×	body	10240	exit
241.0ms	92×	body	2560	valid
99.0ms	89×	body	1280	valid
94.0ms	584×	body	80	nan
26.0ms	40×	body	640	valid
9.0ms	19×	body	320	valid
4.0ms	13×	body	160	valid
1.0ms	3×	body	80	valid

simplify11.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	10
1	18	10
2	45	10
3	162	10
done	5000	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.1b

localize14.0ms

Local error

Found 2 expressions with local error:

3.1b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.9b	(fmod (cosh a) (* a a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin`

Counts

2 → 19

Calls

2 calls:

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

series16.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
10.0ms	(fmod (cosh a) (* a a))

simplify15.6s

Counts

25 → 25

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	33	277
1	50	277
2	109	245
3	1028	245
done	5001	245

prune131.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.7b

localize31.0ms

Local error

Found 3 expressions with local error:

3.1b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.3b	(log (exp (fmod (cosh a) (* a a))))
59.9b	(fmod (cosh a) (* a a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 36

Calls

3 calls:

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

series15.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify3.5s

Counts

45 → 45

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	57	521
1	87	453
2	197	409
done	5000	409

prune223.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.7b

localize34.0ms

Local error

Found 4 expressions with local error:

3.8b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
3.8b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod` `log-pow`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`pow1` `sqrt-pow1`
6×	`add-exp-log` `exp-prod` `sqrt-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow1/2` `rem-log-exp`

Counts

4 → 62

Calls

4 calls:

7.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
7.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series390.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
196.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
4.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))

simplify2.7s

Counts

74 → 74

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	53	850
1	79	786
2	166	726
done	5000	726

prune472.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.7b

localize30.0ms

Local error

Found 4 expressions with local error:

3.8b	(log (sqrt (sqrt (exp (fmod (cosh a) (* a a))))))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`sqrt-pow1`
9×	`log-prod` `sqrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `log-pow`
7×	`pow1`
5×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`exp-prod`
2×	`pow1/2`
1×	`rem-log-exp`

Counts

4 → 54

Calls

4 calls:

9.0ms	(log (sqrt (sqrt (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))

series352.0ms

Counts

4 → 12

Calls

4 calls:

338.0ms	(log (sqrt (sqrt (exp (fmod (cosh a) (* a a))))))
5.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))

simplify3.1s

Counts

66 → 66

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	64	736
1	92	690
2	179	634
done	5001	634

prune455.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 59.7b

regimes352.0ms

Accuracy

0% (0.4b remaining)

Error of 60.3b against oracle of 59.9b and baseline of 60.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
done	9	12

end0.0ms

sample31.2s

Algorithm

intervals

Results

18.3s	7861×	body	10240	exit
6.8s	3177×	body	2560	valid
2.3s	2510×	body	1280	valid
1.8s	15864×	body	80	nan
710.0ms	1286×	body	640	valid
238.0ms	609×	body	320	valid
79.0ms	309×	body	160	valid
16.0ms	109×	body	80	valid
15.0ms	7×	body	5120	nan
11.0ms	10×	body	2560	nan
4.0ms	6×	body	1280	nan
4.0ms	10×	body	320	nan
3.0ms	7×	body	640	nan
2.0ms	10×	body	160	nan