Details

sample1.6s

Algorithm

intervals

Results

860.0ms	255×	body	10240	exit
276.0ms	102×	body	2560	valid
122.0ms	87×	body	1280	valid
66.0ms	457×	body	80	nan
34.0ms	38×	body	640	valid
11.0ms	17×	body	320	valid
5.0ms	9×	body	160	valid
1.0ms	3×	body	80	valid
0.0ms	1×	body	160	nan

simplify109.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

108.0ms

(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.6b

localize19.0ms

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)))

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

10.0ms	(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

9.0ms	(fmod (cosh a) (* a a))
3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

simplify3.5s

Counts

28 → 27

Calls

28 calls:

Slowest

367.0ms	(* (* (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))))
306.0ms	(log (acos (pow (fmod (cosh a) (* a a)) (log1p a))))
299.0ms	(cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a))))
291.0ms	(sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a))))
287.0ms	(* (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))

prune346.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 59.3b

localize23.0ms

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)))

rewrite16.0ms

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

13.0ms	(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))

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))))

simplify5.0s

Counts

51 → 48

Calls

51 calls:

Slowest

630.0ms	(asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
328.0ms	(real->posit16 (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))
311.0ms	(* (* (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))
304.0ms	(exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))
302.0ms	(cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))

prune786.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.3b

localize52.0ms

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))))

rewrite4.0ms

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×	`rem-log-exp`

Counts

4 → 48

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))

series8.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

2.0ms	(fmod (cosh a) (* a a))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify1.8s

Counts

62 → 60

Calls

62 calls:

Slowest

167.0ms	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))
107.0ms	(* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a)))
77.0ms	(* (* (log (exp (fmod (cosh a) (* a a)))) (log (exp (fmod (cosh a) (* a a))))) (log (exp (fmod (cosh a) (* a a)))))
75.0ms	(* (* (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)))

prune910.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 59.3b

localize75.0ms

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` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

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))

series7.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify1.2s

Counts

52 → 52

Calls

52 calls:

Slowest

72.0ms	(* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a)))
63.0ms	(* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a)))
62.0ms	(* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a)))
60.0ms	(* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a)))
45.0ms	(* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))

prune990.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 59.3b

regimes344.0ms

Accuracy

0% (0.4b remaining)

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

bsearch2.0ms

end0.0ms

sample32.0s

Algorithm

intervals

Results

18.5s	7947×	body	10240	exit
7.0s	3191×	body	2560	valid
2.7s	2538×	body	1280	valid
1.7s	15858×	body	80	nan
841.0ms	1269×	body	640	valid
587.0ms	606×	body	320	valid
91.0ms	295×	body	160	valid
25.0ms	10×	body	5120	nan
16.0ms	101×	body	80	valid
14.0ms	11×	body	2560	nan
8.0ms	10×	body	1280	nan
3.0ms	6×	body	640	nan
2.0ms	7×	body	160	nan
2.0ms	5×	body	320	nan