Details

Time bar (total: 39.0s)

sample970.0ms

Algorithm
intervals
Results
422.0ms236×body10240exit
155.0ms93×body2560valid
74.0ms92×body1280valid
21.0ms479×body80nan
17.0ms41×body640valid
6.0ms21×body320valid
1.0msbody160valid
1.0msbody2560nan
0.0msbody80valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0710
11610
22410
34410
48510
519910
652310
7189310
done500010

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.4b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(pow (fmod (cosh a) (* a a)) (log1p a))
1.4b
(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.2b
(fmod (cosh a) (* a a))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log
unpow-prod-down pow-unpow add-cbrt-cube add-log-exp
acos-asin pow-to-exp pow-pow pow-exp sqr-pow
Counts
3 → 32
Calls
3 calls:
2.0ms
(pow (fmod (cosh a) (* a a)) (log1p a))
1.0ms
(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms
(fmod (cosh a) (* a a))

series127.0ms

Counts
3 → 9
Calls
3 calls:
115.0ms
(pow (fmod (cosh a) (* a a)) (log1p a))
3.0ms
(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
8.0ms
(fmod (cosh a) (* a a))

simplify3.5s

Counts
41 → 41
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
051507
192492
2197450
3458450
41268450
54770450
done5000450

prune131.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 60.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
1.4b
(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.3b
(log (exp (fmod (cosh a) (* a a))))
59.2b
(fmod (cosh a) (* a a))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
log-pow
pow1 unpow-prod-down
exp-prod
add-exp-log
add-cbrt-cube add-log-exp
pow-unpow log-prod
acos-asin pow-to-exp pow-pow rem-log-exp pow-exp sqr-pow
Counts
4 → 51
Calls
4 calls:
2.0ms
(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
0.0ms
(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
1.0ms
(log (exp (fmod (cosh a) (* a a))))
0.0ms
(fmod (cosh a) (* a a))

series117.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
3.0ms
(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))

simplify3.5s

Counts
63 → 63
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
078857
1137729
2247682
3505668
41353668
54950668
done5000668

prune200.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (fmod (cosh a) (* a a)) (log1p a))
0.4b
(asin (pow (fmod (cosh a) (* a a)) (log1p a)))
0.8b
(- (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))))
59.2b
(fmod (cosh a) (* a a))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
*-un-lft-identity
add-cube-cbrt add-log-exp
pow1 add-exp-log
add-cbrt-cube
unpow-prod-down pow-unpow
asin-acos difference-of-squares
pow-to-exp sub-neg flip3-- pow-pow times-frac diff-log pow-exp flip-- distribute-lft-out-- associate--r- sqr-pow
Counts
4 → 48
Calls
4 calls:
1.0ms
(pow (fmod (cosh a) (* a a)) (log1p a))
0.0ms
(asin (pow (fmod (cosh a) (* a a)) (log1p a)))
11.0ms
(- (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))))
0.0ms
(fmod (cosh a) (* a a))

series146.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(pow (fmod (cosh a) (* a a)) (log1p a))
3.0ms
(asin (pow (fmod (cosh a) (* a a)) (log1p a)))
30.0ms
(- (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))))
2.0ms
(fmod (cosh a) (* a a))

simplify1.6s

Counts
60 → 60
Iterations

Useful iterations: 3 (126.0ms)

IterNodesCost
084929
1168876
2350826
3726822
41843822
done5000822

prune211.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 59.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(asin (pow (fmod (cosh a) (* a a)) (log1p a)))
8.8b
(- (/ PI 2) (* (sqrt (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (sqrt (asin (pow (fmod (cosh a) (* a a)) (log1p a))))))
59.2b
(fmod (cosh a) (* a a))
59.2b
(fmod (cosh a) (* a a))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
add-log-exp
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
difference-of-squares
sub-neg asin-acos flip3-- times-frac diff-log flip--
Counts
4 → 36
Calls
4 calls:
0.0ms
(asin (pow (fmod (cosh a) (* a a)) (log1p a)))
13.0ms
(- (/ PI 2) (* (sqrt (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (sqrt (asin (pow (fmod (cosh a) (* a a)) (log1p a))))))
0.0ms
(fmod (cosh a) (* a a))
0.0ms
(fmod (cosh a) (* a a))

series37.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(asin (pow (fmod (cosh a) (* a a)) (log1p a)))
30.0ms
(- (/ PI 2) (* (sqrt (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (sqrt (asin (pow (fmod (cosh a) (* a a)) (log1p a))))))
2.0ms
(fmod (cosh a) (* a a))
2.0ms
(fmod (cosh a) (* a a))

simplify2.2s

Counts
48 → 48
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
064990
1135698
2269646
3539634
41212634
53466634
done5001634

prune196.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 59.4b

regimes106.0ms

Accuracy

0% (0.0b remaining)

Error of 59.3b against oracle of 59.3b and baseline of 59.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01327
done1327

end0.0ms

sample22.9s

Algorithm
intervals
Results
14.0s7943×body10240exit
5.1s3137×body2560valid
1.9s2523×body1280valid
719.0ms15913×body80nan
497.0ms1236×body640valid
185.0ms653×body320valid
68.0ms334×body160valid
13.0msbody5120nan
12.0ms117×body80valid
9.0msbody2560nan
3.0msbody640nan
3.0msbody1280nan
1.0msbody320nan
0.0msbody160nan