Details

sample856.0ms

Algorithm

intervals

Results

679.0ms	316×	body	10240	exit
59.0ms	65×	body	1280	valid
32.0ms	56×	body	640	valid
21.0ms	195×	body	80	nan
10.0ms	5×	body	2560	valid
10.0ms	87×	body	80	valid
10.0ms	25×	body	320	valid
5.0ms	18×	body	160	valid

simplify51.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

50.0ms

(fmod (cosh c) (log1p a))

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.6b

localize23.0ms

Local error

Found 1 expressions with local error:

39.2b

(fmod (cosh c) (log1p a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 10

Calls

1 calls:

Slowest

1.0ms

(fmod (cosh c) (log1p a))

series9.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

9.0ms

(fmod (cosh c) (log1p a))

simplify294.0ms

Counts

13 → 13

Calls

13 calls:

Slowest

114.0ms	(* (* (fmod (cosh c) (log1p a)) (fmod (cosh c) (log1p a))) (fmod (cosh c) (log1p a)))
27.0ms	(* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a))))
26.0ms	(exp (fmod (cosh c) (log1p a)))
24.0ms	(sqrt (fmod (cosh c) (log1p a)))
15.0ms	(sqrt (fmod (cosh c) (log1p a)))

prune113.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 34.6b

localize16.0ms

Local error

Found 3 expressions with local error:

39.2b	(fmod (cosh c) (log1p a))
1.4b	(log (fmod (cosh c) (log1p a)))
0.6b	(exp (log (fmod (cosh c) (log1p a))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `log-prod` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`exp-prod` `add-exp-log`
3×	`expm1-log1p-u` `add-cbrt-cube` `exp-sum` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 43

Calls

3 calls:

Slowest

3.0ms	(exp (log (fmod (cosh c) (log1p a))))
2.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series31.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

26.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(exp (log (fmod (cosh c) (log1p a))))

simplify1.7s

Counts

56 → 52

Calls

56 calls:

Slowest

147.0ms	(exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))
95.0ms	(* (* (fmod (cosh c) (log1p a)) (fmod (cosh c) (log1p a))) (fmod (cosh c) (log1p a)))
94.0ms	(* (* (exp (log (fmod (cosh c) (log1p a)))) (exp (log (fmod (cosh c) (log1p a))))) (exp (log (fmod (cosh c) (log1p a)))))
58.0ms	(expm1 (exp (log (fmod (cosh c) (log1p a)))))
57.0ms	(* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (log (fmod (cosh c) (log1p a))))

prune689.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 34.4b

localize36.0ms

Local error

Found 3 expressions with local error:

39.2b	(fmod (cosh c) (log1p a))
1.4b	(log (fmod (cosh c) (log1p a)))
0.6b	(pow E (log (fmod (cosh c) (log1p a))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `log-prod`
5×	`add-exp-log`
4×	`pow-unpow`
3×	`expm1-log1p-u` `unpow-prod-up` `unpow-prod-down` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-exp` `log-pow`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `rem-log-exp` `sqr-pow`

Counts

3 → 50

Calls

3 calls:

Slowest

5.0ms	(pow E (log (fmod (cosh c) (log1p a))))
2.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series108.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

80.0ms	(pow E (log (fmod (cosh c) (log1p a))))
24.0ms	(log (fmod (cosh c) (log1p a)))
4.0ms	(fmod (cosh c) (log1p a))

simplify5.2s

Counts

68 → 59

Calls

68 calls:

Slowest

608.0ms	(* (* (pow E (log (fmod (cosh c) (log1p a)))) (pow E (log (fmod (cosh c) (log1p a))))) (pow E (log (fmod (cosh c) (log1p a)))))
445.0ms	(pow E (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))
350.0ms	(pow E (/ (log (fmod (cosh c) (log1p a))) 2))
312.0ms	(* (cbrt (pow E (log (fmod (cosh c) (log1p a))))) (cbrt (pow E (log (fmod (cosh c) (log1p a))))))
290.0ms	(pow E (log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a))))))

prune829.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 34.4b

localize54.0ms

Local error

Found 4 expressions with local error:

39.2b	(fmod (cosh c) (log1p a))
39.2b	(fmod (cosh c) (log1p a))
39.2b	(fmod (cosh c) (log1p a))
1.4b	(log (fmod (cosh c) (log1p a)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-prod`
1×	`rem-log-exp` `log-pow`

Counts

4 → 45

Calls

4 calls:

Slowest

2.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series46.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

32.0ms	(log (fmod (cosh c) (log1p a)))
5.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))

simplify1.5s

Counts

59 → 57

Calls

59 calls:

Slowest

110.0ms	(* (* (fmod (cosh c) (log1p a)) (fmod (cosh c) (log1p a))) (fmod (cosh c) (log1p a)))
89.0ms	(* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (log (fmod (cosh c) (log1p a))))
75.0ms	(* (* (fmod (cosh c) (log1p a)) (fmod (cosh c) (log1p a))) (fmod (cosh c) (log1p a)))
72.0ms	(* (* (fmod (cosh c) (log1p a)) (fmod (cosh c) (log1p a))) (fmod (cosh c) (log1p a)))
62.0ms	(* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a))))

prune1.1s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 34.4b

regimes489.0ms

Accuracy

0% (0.2b remaining)

Error of 34.1b against oracle of 33.9b and baseline of 34.1b

bsearch2.0ms

end0.0ms

sample15.0s

Algorithm

intervals

Results

10.7s	7625×	body	10240	exit
1.9s	2338×	body	1280	valid
914.0ms	1557×	body	640	valid
362.0ms	5189×	body	80	nan
283.0ms	2782×	body	80	valid
247.0ms	766×	body	320	valid
192.0ms	150×	body	2560	valid
70.0ms	400×	body	160	valid
13.0ms	7×	body	5120	valid