Details

Time bar (total: 42.5s)

sample1.6s

Algorithm
intervals
Results
934.0ms248×body10240exit
310.0ms102×body2560valid
116.0ms71×body1280valid
84.0ms509×body80nan
44.0ms44×body640valid
36.0ms20×body320valid
4.0ms10×body160valid
3.0ms9×body80valid
1.0ms1×body640nan
0.0ms1×body320nan
0.0ms1×body160nan

simplify100.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
99.0ms
(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.4b

localize40.0ms

Local error

Found 3 expressions with local error:

58.6b
(fmod (cosh a) (* a a))
2.3b
(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
0.0b
(cosh a)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
3×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 cosh-def
Counts
3 → 32
Calls
3 calls:
Slowest
3.0ms
(cosh a)
3.0ms
(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
2.0ms
(fmod (cosh a) (* a a))

series121.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
102.0ms
(cosh a)
14.0ms
(fmod (cosh a) (* a a))
5.0ms
(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

simplify520.0ms

Counts
9 → 41
Calls
9 calls:
Slowest
222.0ms
(* 1/2 (+ (exp (* -1 a)) (exp a)))
71.0ms
(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
57.0ms
(+ (* 1/2 (pow a 2)) (+ (* 1/24 (pow a 4)) 1))
55.0ms
(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
52.0ms
(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))

prune500.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 58.1b

localize49.0ms

Local error

Found 4 expressions with local error:

58.6b
(fmod (cosh a) (* a a))
11.5b
(log (exp (fmod (cosh a) (* a a))))
2.3b
(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
0.0b
(cosh a)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×pow1
4×expm1-log1p-u add-cbrt-cube add-exp-log log-pow insert-posit16 log1p-expm1-u add-log-exp
3×log-prod exp-prod
1×acos-asin cosh-def rem-log-exp
Counts
4 → 50
Calls
4 calls:
Slowest
2.0ms
(log (exp (fmod (cosh a) (* a a))))
1.0ms
(cosh a)
1.0ms
(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
0.0ms
(fmod (cosh a) (* a a))

series76.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
70.0ms
(cosh a)
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))))

simplify778.0ms

Counts
19 → 62
Calls
19 calls:
Slowest
242.0ms
(* 1/2 (+ (exp (* -1 a)) (exp a)))
75.0ms
(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
65.0ms
(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
65.0ms
(log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a))))))
57.0ms
(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))

prune810.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 58.0b

localize29.0ms

Local error

Found 4 expressions with local error:

58.6b
(fmod (cosh a) (* a a))
58.6b
(fmod (cosh a) (* a a))
10.6b
(log (exp (sqrt (fmod (cosh a) (* a a)))))
2.3b
(acos (pow (* (sqrt (fmod (cosh a) (* a a))) (log (exp (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))

rewrite7.0ms

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)))))
2.0ms
(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))

series20.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
13.0ms
(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)))
2.0ms
(fmod (cosh a) (* a a))
2.0ms
(fmod (cosh a) (* a a))

simplify531.0ms

Counts
22 → 64
Calls
22 calls:
Slowest
53.0ms
(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
51.0ms
(log (sqrt (exp (sqrt (fmod (cosh a) (* a a))))))
47.0ms
(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
42.0ms
(log (* (cbrt (exp (sqrt (fmod (cosh a) (* a a))))) (cbrt (exp (sqrt (fmod (cosh a) (* a a)))))))
41.0ms
(cbrt (sqrt (fmod (cosh a) (* a a))))

prune956.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 58.0b

localize41.0ms

Local error

Found 4 expressions with local error:

58.6b
(fmod (cosh a) (* a a))
58.6b
(fmod (cosh a) (* a a))
58.6b
(fmod (cosh a) (* a a))
10.7b
(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))))))
0.0ms
(fmod (cosh a) (* a a))
0.0ms
(fmod (cosh a) (* a a))
0.0ms
(fmod (cosh a) (* a a))

series194.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
183.0ms
(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))

simplify744.0ms

Counts
26 → 68
Calls
26 calls:
Slowest
74.0ms
(log (* (cbrt (sqrt (exp (sqrt (fmod (cosh a) (* a a)))))) (cbrt (sqrt (exp (sqrt (fmod (cosh a) (* a a))))))))
65.0ms
(log (sqrt (* (cbrt (exp (sqrt (fmod (cosh a) (* a a))))) (cbrt (exp (sqrt (fmod (cosh a) (* a a))))))))
64.0ms
(log (sqrt (sqrt (exp (sqrt (fmod (cosh a) (* a a)))))))
62.0ms
(log (sqrt (sqrt (exp (sqrt (fmod (cosh a) (* a a)))))))
53.0ms
(/ (sqrt (fmod (cosh a) (* a a))) 2)

prune979.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 58.0b

regimes485.0ms

Accuracy

0% (0.2b remaining)

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

bsearch4.0ms

end0.0ms

sample33.9s

Algorithm
intervals
Results
19.9s7881×body10240exit
6.7s3183×body2560valid
3.5s2550×body1280valid
1.9s16084×body80nan
873.0ms1217×body640valid
309.0ms593×body320valid
131.0ms323×body160valid
23.0ms134×body80valid
12.0ms9×body2560nan
10.0ms4×body5120nan
8.0ms10×body1280nan
5.0ms9×body640nan
4.0ms9×body320nan
2.0ms8×body160nan