Details

sample842.0ms

Algorithm

intervals

Results

610.0ms	291×	body	10240	exit
69.0ms	176×	body	80	nan
62.0ms	71×	body	1280	valid
24.0ms	49×	body	640	valid
24.0ms	12×	body	160	valid
11.0ms	95×	body	80	valid
7.0ms	25×	body	320	valid
6.0ms	4×	body	2560	valid

simplify13.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

12.0ms

(fmod (cosh c) (log1p a))

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.4b

localize13.0ms

Local error

Found 2 expressions with local error:

37.8b	(fmod (cosh c) (log1p a))
0.0b	(cosh c)

rewrite4.0ms

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×	`cosh-def`

Counts

2 → 17

Calls

2 calls:

Slowest

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

series66.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

56.0ms	(cosh c)
9.0ms	(fmod (cosh c) (log1p a))

simplify234.0ms

Counts

6 → 23

Calls

6 calls:

Slowest

147.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))
36.0ms	(+ (* 1/2 (pow c 2)) (+ (* 1/24 (pow c 4)) 1))
21.0ms	(* 1/2 (+ (exp c) (exp (- c))))
17.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))

prune380.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 33.3b

localize32.0ms

Local error

Found 4 expressions with local error:

37.8b	(fmod (cosh c) (log1p a))
1.0b	(log (fmod (cosh c) (log1p a)))
0.7b	(exp (log (fmod (cosh c) (log1p a))))
0.0b	(cosh c)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 46

Calls

4 calls:

Slowest

5.0ms	(exp (log (fmod (cosh c) (log1p a))))
3.0ms	(cosh c)
2.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series126.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

73.0ms	(cosh c)
43.0ms	(log (fmod (cosh c) (log1p a)))
5.0ms	(exp (log (fmod (cosh c) (log1p a))))
5.0ms	(fmod (cosh c) (log1p a))

simplify930.0ms

Counts

24 → 58

Calls

24 calls:

Slowest

259.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))
169.0ms	(exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))
63.0ms	(+ (* 1/2 (pow c 2)) (+ (* 1/24 (pow c 4)) 1))
62.0ms	(exp (log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a))))))
53.0ms	(log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a)))))

prune860.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 33.1b

localize37.0ms

Local error

Found 4 expressions with local error:

37.8b	(fmod (cosh c) (log1p a))
1.0b	(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×	`pow-unpow` `add-cbrt-cube` `insert-posit16` `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 → 53

Calls

4 calls:

Slowest

5.0ms	(pow E (log (fmod (cosh c) (log1p a))))
3.0ms	(cosh c)
2.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series158.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

69.0ms	(pow E (log (fmod (cosh c) (log1p a))))
59.0ms	(cosh c)
25.0ms	(log (fmod (cosh c) (log1p a)))
5.0ms	(fmod (cosh c) (log1p a))

simplify1.1s

Counts

28 → 65

Calls

28 calls:

Slowest

204.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))
125.0ms	(pow E (log (cbrt (fmod (cosh c) (log1p a)))))
117.0ms	(pow E (log (sqrt (fmod (cosh c) (log1p a)))))
59.0ms	(+ (* 1/2 (pow c 2)) (+ (* 1/24 (pow c 4)) 1))
55.0ms	(pow (sqrt E) (log (fmod (cosh c) (log1p a))))

prune965.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 33.1b

localize34.0ms

Local error

Found 4 expressions with local error:

37.8b	(fmod (cosh c) (log1p a))
37.8b	(fmod (cosh c) (log1p a))
37.8b	(fmod (cosh c) (log1p a))
1.0b	(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×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
3×	`log-prod`
1×	`rem-log-exp` `log-pow`

Counts

4 → 37

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))

series39.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

30.0ms	(log (fmod (cosh c) (log1p a)))
4.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify216.0ms

Counts

16 → 49

Calls

16 calls:

Slowest

62.0ms	(log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a)))))
21.0ms	(log (fmod (cosh c) (log1p a)))
19.0ms	(log (sqrt (fmod (cosh c) (log1p a))))
16.0ms	(log (fmod (cosh c) (log1p a)))
11.0ms	(log (fmod (cosh c) (log1p a)))

prune639.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 33.1b

regimes1.2s

Accuracy

0% (0.3b remaining)

Error of 34.3b against oracle of 34.0b and baseline of 34.3b

bsearch4.0ms

end0.0ms

sample18.3s

Algorithm

intervals

Results

13.6s	7919×	body	10240	exit
1.8s	2315×	body	1280	valid
792.0ms	1618×	body	640	valid
693.0ms	5291×	body	80	nan
329.0ms	2755×	body	80	valid
251.0ms	738×	body	320	valid
250.0ms	159×	body	2560	valid
101.0ms	410×	body	160	valid
9.0ms	5×	body	5120	valid