Details

Time bar (total: 41.4s)

sample1.6s

Algorithm
intervals
Results
877.0ms266×body10240exit
225.0ms82×body2560valid
156.0ms99×body1280valid
109.0ms570×body80nan
51.0ms17×body160valid
33.0ms35×body640valid
13.0ms21×body320valid
1.0ms1×body640nan
0.0ms1×body160nan
0.0ms2×body80valid

simplify175.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
174.0ms
(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.1b

localize49.0ms

Local error

Found 2 expressions with local error:

59.1b
(fmod (cosh a) (* a a))
3.6b
(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

rewrite8.0ms

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:
Slowest
3.0ms
(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
2.0ms
(fmod (cosh a) (* a a))

series19.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
14.0ms
(fmod (cosh a) (* a a))
4.0ms
(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

simplify202.0ms

Counts
6 → 23
Calls
6 calls:
Slowest
68.0ms
(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
56.0ms
(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
55.0ms
(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
7.0ms
(fmod (cosh a) (pow a 2))
7.0ms
(fmod (cosh a) (pow a 2))

prune334.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 58.7b

localize29.0ms

Local error

Found 3 expressions with local error:

59.1b
(fmod (cosh a) (* a a))
14.3b
(log (exp (fmod (cosh a) (* a a))))
3.6b
(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p 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:
Slowest
2.0ms
(log (exp (fmod (cosh a) (* a a))))
1.0ms
(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
0.0ms
(fmod (cosh a) (* a a))

series7.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
2.0ms
(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms
(fmod (cosh a) (* a a))
2.0ms
(log (exp (fmod (cosh a) (* a a))))

simplify379.0ms

Counts
16 → 42
Calls
16 calls:
Slowest
74.0ms
(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
49.0ms
(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
49.0ms
(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
41.0ms
(log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a))))))
40.0ms
(log (sqrt (exp (fmod (cosh a) (* a a)))))

prune606.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 58.7b

localize56.0ms

Local error

Found 4 expressions with local error:

59.1b
(fmod (cosh a) (* a a))
59.1b
(fmod (cosh a) (* a a))
12.8b
(log (exp (sqrt (fmod (cosh a) (* a a)))))
3.6b
(acos (pow (* (sqrt (fmod (cosh a) (* a a))) (log (exp (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity log-pow add-cube-cbrt
6×exp-prod
5×pow1
4×add-cbrt-cube add-exp-log insert-posit16 add-log-exp
3×log-prod sqrt-prod
1×acos-asin rem-log-exp
Counts
4 → 44
Calls
4 calls:
Slowest
6.0ms
(log (exp (sqrt (fmod (cosh a) (* a a)))))
3.0ms
(acos (pow (* (sqrt (fmod (cosh a) (* a a))) (log (exp (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))
0.0ms
(fmod (cosh a) (* a a))
0.0ms
(fmod (cosh a) (* a a))

series25.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
16.0ms
(log (exp (sqrt (fmod (cosh a) (* a a)))))
4.0ms
(fmod (cosh a) (* a a))
3.0ms
(fmod (cosh a) (* a a))
3.0ms
(acos (pow (* (sqrt (fmod (cosh a) (* a a))) (log (exp (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))

simplify626.0ms

Counts
22 → 56
Calls
22 calls:
Slowest
61.0ms
(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
61.0ms
(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
57.0ms
(log (* (cbrt (exp (sqrt (fmod (cosh a) (* a a))))) (cbrt (exp (sqrt (fmod (cosh a) (* a a)))))))
47.0ms
(sqrt (sqrt (fmod (cosh a) (* a a))))
43.0ms
(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))

prune764.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 58.7b

localize37.0ms

Local error

Found 4 expressions with local error:

59.1b
(fmod (cosh a) (* a a))
59.1b
(fmod (cosh a) (* a a))
59.1b
(fmod (cosh a) (* a a))
12.9b
(log (sqrt (exp (sqrt (fmod (cosh a) (* a a))))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
9×log-pow
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×sqrt-pow1
6×pow1 log-prod exp-prod sqrt-prod
5×add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp
1×pow1/2 rem-log-exp
Counts
4 → 48
Calls
4 calls:
Slowest
7.0ms
(log (sqrt (exp (sqrt (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))

series167.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
156.0ms
(log (sqrt (exp (sqrt (fmod (cosh a) (* a a))))))
4.0ms
(fmod (cosh a) (* a a))
3.0ms
(fmod (cosh a) (* a a))
3.0ms
(fmod (cosh a) (* a a))

simplify1.2s

Counts
26 → 60
Calls
26 calls:
Slowest
509.0ms
(log (* (cbrt (sqrt (exp (sqrt (fmod (cosh a) (* a a)))))) (cbrt (sqrt (exp (sqrt (fmod (cosh a) (* a a))))))))
57.0ms
(/ (cbrt (sqrt (fmod (cosh a) (* a a)))) 2)
54.0ms
(/ (sqrt (sqrt (fmod (cosh a) (* a a)))) 2)
54.0ms
(log (sqrt (sqrt (exp (sqrt (fmod (cosh a) (* a a)))))))
54.0ms
(/ (sqrt (cbrt (fmod (cosh a) (* a a)))) 2)

prune955.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 58.7b

regimes525.0ms

Accuracy

0% (0.2b remaining)

Error of 59.1b against oracle of 59.0b and baseline of 59.1b

bsearch4.0ms

end0.0ms

sample33.6s

Algorithm
intervals
Results
19.7s7807×body10240exit
6.6s3123×body2560valid
3.4s2457×body1280valid
2.0s16128×body80nan
897.0ms1273×body640valid
340.0ms700×body320valid
103.0ms311×body160valid
23.0ms136×body80valid
20.0ms6×body5120nan
15.0ms12×body2560nan
9.0ms11×body1280nan
4.0ms7×body640nan
3.0ms8×body320nan
1.0ms5×body160nan