Details

Time bar (total: 48.6s)

sample1.5s

Algorithm
intervals
Results
826.0ms255×body10240exit
276.0ms102×body2560valid
150.0ms87×body1280valid
65.0ms38×body640valid
65.0ms457×body80nan
11.0ms17×body320valid
5.0ms9×body160valid
1.0ms3×body80valid
1.0ms1×body160nan

simplify157.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
156.0ms
(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.6b

localize26.0ms

Local error

Found 2 expressions with local error:

59.6b
(fmod (cosh a) (* a a))
1.8b
(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

rewrite6.0ms

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
2.0ms
(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms
(fmod (cosh a) (* a a))

series17.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
13.0ms
(fmod (cosh a) (* a a))
3.0ms
(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

simplify2.8s

Counts
24 → 23
Calls
24 calls:
Slowest
350.0ms
(* (* (acos (pow (fmod (cosh a) (* a a)) (log1p a))) (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (acos (pow (fmod (cosh a) (* a a)) (log1p a))))
326.0ms
(log (acos (pow (fmod (cosh a) (* a a)) (log1p a))))
295.0ms
(sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a))))
268.0ms
(sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a))))
246.0ms
(exp (acos (pow (fmod (cosh a) (* a a)) (log1p a))))

prune269.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 59.3b

localize41.0ms

Local error

Found 3 expressions with local error:

59.6b
(fmod (cosh a) (* a a))
10.7b
(log (exp (fmod (cosh a) (* a a))))
1.8b
(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))

rewrite7.0ms

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

series6.0ms

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))))

simplify4.1s

Counts
45 → 42
Calls
45 calls:
Slowest
328.0ms
(asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
316.0ms
(real->posit16 (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))
312.0ms
(log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))
306.0ms
(sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))
301.0ms
(exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))

prune476.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.3b

localize45.0ms

Local error

Found 4 expressions with local error:

59.6b
(fmod (cosh a) (* a a))
59.6b
(fmod (cosh a) (* a a))
59.6b
(fmod (cosh a) (* a a))
10.7b
(log (exp (fmod (cosh a) (* a a))))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×pow1
4×add-cbrt-cube add-exp-log log-pow insert-posit16 add-log-exp
3×log-prod exp-prod
1×rem-log-exp
Counts
4 → 40
Calls
4 calls:
Slowest
2.0ms
(log (exp (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))

series12.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
3.0ms
(log (exp (fmod (cosh a) (* a a))))
3.0ms
(fmod (cosh a) (* a a))
3.0ms
(fmod (cosh a) (* a a))
2.0ms
(fmod (cosh a) (* a a))

simplify1.7s

Counts
54 → 52
Calls
54 calls:
Slowest
173.0ms
(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))
104.0ms
(* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a)))
90.0ms
(* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a)))
69.0ms
(* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a)))
64.0ms
(* (* (log (exp (fmod (cosh a) (* a a)))) (log (exp (fmod (cosh a) (* a a))))) (log (exp (fmod (cosh a) (* a a)))))

prune896.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 59.3b

localize92.0ms

Local error

Found 4 expressions with local error:

59.6b
(fmod (cosh a) (* a a))
59.6b
(fmod (cosh a) (* a a))
59.6b
(fmod (cosh a) (* a a))
59.6b
(fmod (cosh a) (* a a))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 add-log-exp
Counts
4 → 32
Calls
4 calls:
Slowest
0.0ms
(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))

series13.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
3.0ms
(fmod (cosh a) (* a a))
3.0ms
(fmod (cosh a) (* a a))
3.0ms
(fmod (cosh a) (* a a))
3.0ms
(fmod (cosh a) (* a a))

simplify1.0s

Counts
44 → 44
Calls
44 calls:
Slowest
71.0ms
(* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a)))
70.0ms
(* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a)))
67.0ms
(* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a)))
56.0ms
(* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a)))
49.0ms
(* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))

prune787.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 59.3b

regimes298.0ms

Accuracy

0% (0.4b remaining)

Error of 59.7b against oracle of 59.3b and baseline of 59.7b

bsearch2.0ms

end0.0ms

sample34.3s

Algorithm
intervals
Results
19.1s7947×body10240exit
7.4s3191×body2560valid
3.6s2538×body1280valid
2.4s15858×body80nan
918.0ms1269×body640valid
338.0ms606×body320valid
124.0ms295×body160valid
28.0ms10×body5120nan
21.0ms6×body640nan
17.0ms101×body80valid
14.0ms11×body2560nan
10.0ms10×body1280nan
2.0ms5×body320nan
2.0ms7×body160nan