Details

sample877.0ms

Algorithm

intervals

Results

730.0ms	263×	body	10240	exit
54.0ms	71×	body	1280	valid
31.0ms	64×	body	640	valid
13.0ms	162×	body	80	nan
11.0ms	7×	body	2560	valid
8.0ms	27×	body	320	valid
7.0ms	72×	body	80	valid
3.0ms	15×	body	160	valid

simplify13.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

12.0ms

(fmod (cosh c) (log1p a))

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.7b

localize58.0ms

Local error

Found 2 expressions with local error:

42.6b	(fmod (cosh c) (log1p a))
0.0b	(cosh c)

rewrite8.0ms

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×	`cosh-def`

Counts

2 → 21

Calls

2 calls:

Slowest

4.0ms	(cosh c)
2.0ms	(fmod (cosh c) (log1p a))

series83.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

66.0ms	(cosh c)
17.0ms	(fmod (cosh c) (log1p a))

simplify382.0ms

Counts

6 → 27

Calls

6 calls:

Slowest

235.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))
71.0ms	(+ (* 1/2 (pow c 2)) (+ (* 1/24 (pow c 4)) 1))
34.0ms	(* 1/2 (+ (exp c) (exp (- c))))
20.0ms	(fmod (cosh c) (log1p a))
11.0ms	(fmod (cosh c) (log1p a))

prune307.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 37.6b

localize30.0ms

Local error

Found 4 expressions with local error:

42.6b	(fmod (cosh c) (log1p a))
1.8b	(log (fmod (cosh c) (log1p a)))
0.7b	(exp (log (fmod (cosh c) (log1p a))))
0.0b	(cosh c)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

Slowest

3.0ms	(exp (log (fmod (cosh c) (log1p a))))
1.0ms	(cosh c)
1.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series101.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

71.0ms	(cosh c)
23.0ms	(log (fmod (cosh c) (log1p a)))
4.0ms	(exp (log (fmod (cosh c) (log1p a))))
3.0ms	(fmod (cosh c) (log1p a))

simplify727.0ms

Counts

24 → 66

Calls

24 calls:

Slowest

200.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))
103.0ms	(exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))
57.0ms	(+ (* 1/2 (pow c 2)) (+ (* 1/24 (pow c 4)) 1))
55.0ms	(exp (sqrt (log (fmod (cosh c) (log1p a)))))
45.0ms	(log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a)))))

prune973.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 37.5b

localize34.0ms

Local error

Found 4 expressions with local error:

42.6b	(fmod (cosh c) (log1p a))
1.8b	(log (fmod (cosh c) (log1p a)))
0.9b	(pow E (log (fmod (cosh c) (log1p a))))
0.0b	(cosh c)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

Slowest

5.0ms	(pow E (log (fmod (cosh c) (log1p a))))
3.0ms	(cosh c)
3.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series165.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

68.0ms	(cosh c)
59.0ms	(pow E (log (fmod (cosh c) (log1p a))))
33.0ms	(log (fmod (cosh c) (log1p a)))
5.0ms	(fmod (cosh c) (log1p a))

simplify1.2s

Counts

28 → 73

Calls

28 calls:

Slowest

237.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))
134.0ms	(pow E (log (sqrt (fmod (cosh c) (log1p a)))))
128.0ms	(pow E (log (cbrt (fmod (cosh c) (log1p a)))))
88.0ms	(pow (* (cbrt E) (cbrt E)) (log (fmod (cosh c) (log1p a))))
78.0ms	(pow E (log (fmod (cosh c) (log1p a))))

prune1.1s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 37.5b

localize37.0ms

Local error

Found 4 expressions with local error:

42.6b	(fmod (cosh c) (log1p a))
42.6b	(fmod (cosh c) (log1p a))
42.6b	(fmod (cosh c) (log1p a))
1.8b	(log (fmod (cosh c) (log1p a)))

rewrite2.0ms

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

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

series27.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

19.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify261.0ms

Counts

16 → 57

Calls

16 calls:

Slowest

40.0ms	(log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a)))))
33.0ms	(log (sqrt (fmod (cosh c) (log1p a))))
27.0ms	(log (fmod (cosh c) (log1p a)))
24.0ms	(log (fmod (cosh c) (log1p a)))
22.0ms	(log (fmod (cosh c) (log1p a)))

prune840.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 37.4b

regimes819.0ms

Accuracy

0% (0.3b remaining)

Error of 33.9b against oracle of 33.6b and baseline of 33.9b

bsearch5.0ms

end0.0ms

sample16.3s

Algorithm

intervals

Results

12.0s	7637×	body	10240	exit
1.8s	2258×	body	1280	valid
716.0ms	5177×	body	80	nan
683.0ms	1553×	body	640	valid
266.0ms	2818×	body	80	valid
248.0ms	785×	body	320	valid
209.0ms	153×	body	2560	valid
116.0ms	429×	body	160	valid
10.0ms	4×	body	5120	valid