Details

sample1.5s

Algorithm

intervals

Results

781.0ms	234×	body	10240	exit
272.0ms	101×	body	2560	valid
112.0ms	82×	body	1280	valid
51.0ms	537×	body	80	nan
45.0ms	21×	body	320	valid
34.0ms	43×	body	640	valid
3.0ms	8×	body	160	valid
1.0ms	1×	body	1280	nan
0.0ms	1×	body	80	valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3169
5	373
4	91
3	44
2	24
1	16
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize18.0ms

Local error

Found 2 expressions with local error:

1.9b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.4b	(fmod (cosh a) (* a a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 19

Calls

2 calls:

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

series25.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
17.0ms	(fmod (cosh a) (* a a))

simplify2.4s

Counts

25 → 25

Iterations

Iter	Nodes
done	5000
6	4025
5	808
4	303
3	174
2	103
1	55
0	33

prune192.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 60.7b

localize19.0ms

Local error

Found 3 expressions with local error:

1.9b	(acos (pow (log (exp (fmod (cosh a) (pow a 2)))) (log1p a)))
10.8b	(log (exp (fmod (cosh a) (pow a 2))))
60.4b	(fmod (cosh a) (pow a 2))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 36

Calls

3 calls:

1.0ms	(acos (pow (log (exp (fmod (cosh a) (pow a 2)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (pow a 2))))
0.0ms	(fmod (cosh a) (pow a 2))

series9.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(acos (pow (log (exp (fmod (cosh a) (pow a 2)))) (log1p a)))
3.0ms	(log (exp (fmod (cosh a) (pow a 2))))
3.0ms	(fmod (cosh a) (pow a 2))

simplify2.8s

Counts

45 → 45

Iterations

Iter	Nodes
done	5001
6	4880
5	966
4	360
3	193
2	119
1	82
0	55

prune258.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 60.7b

localize23.0ms

Local error

Found 4 expressions with local error:

2.3b	(log (sqrt (exp (fmod (cosh a) (pow a 2)))))
2.3b	(log (sqrt (exp (fmod (cosh a) (pow a 2)))))
60.4b	(fmod (cosh a) (pow a 2))
60.4b	(fmod (cosh a) (pow a 2))

rewrite22.0ms

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×	`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) (pow a 2)))))
12.0ms	(log (sqrt (exp (fmod (cosh a) (pow a 2)))))
0.0ms	(fmod (cosh a) (pow a 2))
0.0ms	(fmod (cosh a) (pow a 2))

series627.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(log (sqrt (exp (fmod (cosh a) (pow a 2)))))
457.0ms	(log (sqrt (exp (fmod (cosh a) (pow a 2)))))
4.0ms	(fmod (cosh a) (pow a 2))
5.0ms	(fmod (cosh a) (pow a 2))

simplify1.4s

Counts

74 → 74

Iterations

Iter	Nodes
done	5002
6	2102
5	656
4	286
3	166
2	102
1	69
0	48

prune577.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.7b

localize52.0ms

Local error

Found 4 expressions with local error:

1.9b	(acos (pow (+ (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (* (/ 1 2) (fmod (cosh a) (pow a 2)))) (log1p a)))
2.3b	(log (sqrt (exp (fmod (cosh a) (pow a 2)))))
60.4b	(fmod (cosh a) (pow a 2))
60.4b	(fmod (cosh a) (pow a 2))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

7.0ms	(acos (pow (+ (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (* (/ 1 2) (fmod (cosh a) (pow a 2)))) (log1p a)))
6.0ms	(log (sqrt (exp (fmod (cosh a) (pow a 2)))))
0.0ms	(fmod (cosh a) (pow a 2))
0.0ms	(fmod (cosh a) (pow a 2))

series218.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(acos (pow (+ (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (* (/ 1 2) (fmod (cosh a) (pow a 2)))) (log1p a)))
200.0ms	(log (sqrt (exp (fmod (cosh a) (pow a 2)))))
5.0ms	(fmod (cosh a) (pow a 2))
5.0ms	(fmod (cosh a) (pow a 2))

simplify1.0s

Counts

62 → 62

Iterations

Iter	Nodes
done	5001
5	1582
4	565
3	296
2	151
1	104
0	71

prune496.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 60.7b

regimes366.0ms

Accuracy

0% (0.5b remaining)

Error of 60.0b against oracle of 59.6b and baseline of 60.0b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
0	12

end0.0ms

sample34.6s

Algorithm

intervals

Results

19.8s	7938×	body	10240	exit
6.9s	3087×	body	2560	valid
3.5s	2524×	body	1280	valid
2.1s	15750×	body	80	nan
777.0ms	1226×	body	640	valid
308.0ms	674×	body	320	valid
106.0ms	355×	body	160	valid
43.0ms	8×	body	2560	nan
18.0ms	134×	body	80	valid
15.0ms	6×	body	5120	nan
8.0ms	8×	body	1280	nan
4.0ms	9×	body	640	nan
2.0ms	6×	body	320	nan
1.0ms	5×	body	160	nan