Details

Time bar (total: 41.7s)

sample1.3s

Algorithm
intervals
Results
722.0ms266×body10240exit
208.0ms82×body2560valid
125.0ms99×body1280valid
90.0ms570×body80nan
26.0ms35×body640valid
11.0ms21×body320valid
6.0ms17×body160valid
1.0ms1×body640nan
0.0ms2×body80valid
0.0ms1×body160nan

simplify130.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
129.0ms
(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.1b

localize33.0ms

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)))

rewrite12.0ms

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 insert-posit16 log1p-expm1-u add-log-exp
1×acos-asin
Counts
2 → 21
Calls
2 calls:
Slowest
9.0ms
(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms
(fmod (cosh a) (* a a))

series11.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
8.0ms
(fmod (cosh a) (* a a))
2.0ms
(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

simplify258.0ms

Counts
6 → 27
Calls
6 calls:
Slowest
86.0ms
(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
78.0ms
(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
54.0ms
(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
14.0ms
(fmod (cosh a) (pow a 2))
14.0ms
(fmod (cosh a) (pow a 2))

prune336.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 58.7b

localize25.0ms

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)))

rewrite5.0ms

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 insert-posit16 log1p-expm1-u add-log-exp
1×acos-asin rem-log-exp
Counts
3 → 39
Calls
3 calls:
Slowest
3.0ms
(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
3.0ms
(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))))

simplify405.0ms

Counts
16 → 48
Calls
16 calls:
Slowest
76.0ms
(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
61.0ms
(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
49.0ms
(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
40.0ms
(log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a))))))
35.0ms
(sqrt (fmod (cosh a) (* a a)))

prune666.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 58.7b

localize48.0ms

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)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity log-pow add-cube-cbrt
6×exp-prod
5×pow1
4×expm1-log1p-u add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×log-prod sqrt-prod
1×acos-asin rem-log-exp
Counts
4 → 52
Calls
4 calls:
Slowest
3.0ms
(log (exp (sqrt (fmod (cosh a) (* a a)))))
1.0ms
(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))

series29.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
19.0ms
(log (exp (sqrt (fmod (cosh a) (* a a)))))
5.0ms
(acos (pow (* (sqrt (fmod (cosh a) (* a a))) (log (exp (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))
2.0ms
(fmod (cosh a) (* a a))
2.0ms
(fmod (cosh a) (* a a))

simplify669.0ms

Counts
22 → 64
Calls
22 calls:
Slowest
78.0ms
(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
59.0ms
(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
54.0ms
(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
52.0ms
(cbrt (sqrt (fmod (cosh a) (* a a))))
47.0ms
(sqrt (cbrt (fmod (cosh a) (* a a))))

prune957.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 58.7b

localize82.0ms

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×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
1×pow1/2 rem-log-exp
Counts
4 → 56
Calls
4 calls:
Slowest
8.0ms
(log (sqrt (exp (sqrt (fmod (cosh a) (* a a))))))
1.0ms
(fmod (cosh a) (* a a))
0.0ms
(fmod (cosh a) (* a a))
0.0ms
(fmod (cosh a) (* a a))

series186.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
175.0ms
(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))

simplify816.0ms

Counts
26 → 68
Calls
26 calls:
Slowest
69.0ms
(log (* (cbrt (sqrt (exp (sqrt (fmod (cosh a) (* a a)))))) (cbrt (sqrt (exp (sqrt (fmod (cosh a) (* a a))))))))
60.0ms
(/ (sqrt (sqrt (fmod (cosh a) (* a a)))) 2)
53.0ms
(log (sqrt (exp (sqrt (fmod (cosh a) (pow a 2))))))
52.0ms
(log (sqrt (exp (sqrt (fmod (cosh a) (pow a 2))))))
51.0ms
(/ (sqrt (fmod (cosh a) (* a a))) 2)

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 58.7b

regimes517.0ms

Accuracy

0% (0.2b remaining)

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

bsearch4.0ms

end0.0ms

sample34.0s

Algorithm
intervals
Results
20.3s7807×body10240exit
6.9s3123×body2560valid
2.9s2457×body1280valid
1.9s16128×body80nan
1.0s1273×body640valid
342.0ms700×body320valid
128.0ms311×body160valid
24.0ms136×body80valid
18.0ms6×body5120nan
16.0ms12×body2560nan
10.0ms11×body1280nan
4.0ms7×body640nan
3.0ms8×body320nan
1.0ms5×body160nan