Details

sample1.2s

Algorithm

intervals

Results

625.0ms	271×	body	10240	exit
225.0ms	91×	body	2560	valid
94.0ms	589×	body	80	nan
82.0ms	81×	body	1280	valid
53.0ms	21×	body	320	valid
23.0ms	44×	body	640	valid
4.0ms	15×	body	160	valid
4.0ms	1×	body	5120	nan
2.0ms	1×	body	2560	nan
1.0ms	4×	body	80	valid

simplify2.7s

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.6b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p a)
0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
2.2b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
58.2b	(fmod (cosh a) (* a a))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 49

Calls

4 calls:

1.0ms	(log1p a)
6.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series174.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(log1p a)
111.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
7.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
16.0ms	(fmod (cosh a) (* a a))

simplify634.0ms

Counts

61 → 61

Iterations

Iter	Nodes
done	5001
2	1268
1	311
0	120

prune427.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 58.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (log1p a))
2.2b	(acos (pow (fmod (cosh a) (* a a)) (log (exp (log1p a)))))
6.9b	(log (exp (log1p a)))
58.2b	(fmod (cosh a) (* a a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

3.0ms	(exp (log1p a))
1.0ms	(acos (pow (fmod (cosh a) (* a a)) (log (exp (log1p a)))))
4.0ms	(log (exp (log1p a)))
0.0ms	(fmod (cosh a) (* a a))

series478.0ms

Counts

4 → 12

Calls

4 calls:

427.0ms	(exp (log1p a))
7.0ms	(acos (pow (fmod (cosh a) (* a a)) (log (exp (log1p a)))))
39.0ms	(log (exp (log1p a)))
4.0ms	(fmod (cosh a) (* a a))

simplify1.2s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
3	1304
2	415
1	176
0	96

prune378.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 58.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p a)
2.2b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
9.3b	(log (exp (fmod (cosh a) (* a a))))
58.2b	(fmod (cosh a) (* a a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 47

Calls

4 calls:

1.0ms	(log1p a)
2.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
4.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series33.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(log1p a)
4.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
3.0ms	(log (exp (fmod (cosh a) (* a a))))
4.0ms	(fmod (cosh a) (* a a))

simplify709.0ms

Counts

59 → 59

Iterations

Iter	Nodes
done	5001
3	1106
2	339
1	158
0	88

prune348.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 58.0b

localize25.0ms

Local error

Found 4 expressions with local error:

2.2b	(acos (pow (fmod (cosh a) (* a a)) (+ (log (sqrt (exp (log1p a)))) (log (sqrt (exp (log1p a)))))))
6.7b	(log (sqrt (exp (log1p a))))
6.7b	(log (sqrt (exp (log1p a))))
58.2b	(fmod (cosh a) (* a a))

rewrite10.0ms

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`
1×	`acos-asin`

Counts

4 → 63

Calls

4 calls:

1.0ms	(acos (pow (fmod (cosh a) (* a a)) (+ (log (sqrt (exp (log1p a)))) (log (sqrt (exp (log1p a)))))))
3.0ms	(log (sqrt (exp (log1p a))))
5.0ms	(log (sqrt (exp (log1p a))))
0.0ms	(fmod (cosh a) (* a a))

series191.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(acos (pow (fmod (cosh a) (* a a)) (+ (log (sqrt (exp (log1p a)))) (log (sqrt (exp (log1p a)))))))
86.0ms	(log (sqrt (exp (log1p a))))
94.0ms	(log (sqrt (exp (log1p a))))
3.0ms	(fmod (cosh a) (* a a))

simplify3.8s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
4	4139
3	968
2	358
1	176
0	104

prune480.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 58.0b

regimes487.0ms

Accuracy

90.4% (0.1b remaining)

Error of 58.7b against oracle of 58.6b and baseline of 60.0b

bsearch4.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	20
0	20

end0.0ms

sample32.0s

Algorithm

intervals

Results

18.9s	7817×	body	10240	exit
6.5s	3208×	body	2560	valid
2.9s	2454×	body	1280	valid
1.5s	16140×	body	80	nan
882.0ms	1259×	body	640	valid
269.0ms	649×	body	320	valid
83.0ms	310×	body	160	valid
22.0ms	8×	body	5120	nan
17.0ms	120×	body	80	valid
11.0ms	10×	body	2560	nan
6.0ms	11×	body	1280	nan
5.0ms	11×	body	640	nan
2.0ms	7×	body	320	nan
1.0ms	7×	body	160	nan