Details

sample1.6s

Algorithm

intervals

Results

1.4s	263×	body	10240	exit
78.0ms	71×	body	1280	valid
46.0ms	64×	body	640	valid
18.0ms	162×	body	80	nan
16.0ms	7×	body	2560	valid
12.0ms	27×	body	320	valid
10.0ms	72×	body	80	valid
4.0ms	15×	body	160	valid

simplify12.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

12.0ms

(fmod (cosh c) (log1p a))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.7b

localize12.0ms

Local error

Found 2 expressions with local error:

42.6b	(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))

series82.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

55.0ms	(cosh c)
27.0ms	(fmod (cosh c) (log1p a))

simplify324.0ms

Counts

6 → 23

Calls

6 calls:

Slowest

211.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))
50.0ms	(+ (* 1/2 (pow c 2)) (+ (* 1/24 (pow c 4)) 1))
39.0ms	(* 1/2 (+ (exp c) (exp (- c))))
11.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))

prune248.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 37.6b

localize15.0ms

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×	`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

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))

series87.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

60.0ms	(cosh c)
22.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(exp (log (fmod (cosh c) (log1p a))))

simplify575.0ms

Counts

24 → 58

Calls

24 calls:

Slowest

140.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))
89.0ms	(exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))
40.0ms	(+ (* 1/2 (pow c 2)) (+ (* 1/24 (pow c 4)) 1))
35.0ms	(* 1/2 (+ (exp c) (exp (- c))))
33.0ms	(exp (log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a))))))

prune886.0ms

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

rewrite11.0ms

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

series176.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

77.0ms	(pow E (log (fmod (cosh c) (log1p a))))
55.0ms	(cosh c)
39.0ms	(log (fmod (cosh c) (log1p a)))
5.0ms	(fmod (cosh c) (log1p a))

simplify1.1s

Counts

28 → 65

Calls

28 calls:

Slowest

188.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))
140.0ms	(pow E (log (sqrt (fmod (cosh c) (log1p a)))))
113.0ms	(pow E (log (cbrt (fmod (cosh c) (log1p a)))))
73.0ms	(pow E (log (fmod (cosh c) (log1p a))))
67.0ms	(+ (* 1/2 (pow c 2)) (+ (* 1/24 (pow c 4)) 1))

prune1.0s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 37.5b

localize44.0ms

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)))

rewrite4.0ms

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

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))

series55.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

40.0ms	(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))

simplify147.0ms

Counts

16 → 49

Calls

16 calls:

Slowest

37.0ms	(log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a)))))
19.0ms	(log (sqrt (fmod (cosh c) (log1p a))))
11.0ms	(log (fmod (cosh c) (log1p a)))
11.0ms	(log (fmod (cosh c) (log1p a)))
11.0ms	(log (fmod (cosh c) (log1p a)))

prune739.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 37.4b

regimes717.0ms

Accuracy

0% (0.3b remaining)

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

bsearch3.0ms

end0.0ms

sample16.2s

Algorithm

intervals

Results

11.6s	7637×	body	10240	exit
2.1s	2258×	body	1280	valid
734.0ms	1553×	body	640	valid
521.0ms	2818×	body	80	valid
363.0ms	5177×	body	80	nan
241.0ms	785×	body	320	valid
211.0ms	153×	body	2560	valid
128.0ms	429×	body	160	valid
8.0ms	4×	body	5120	valid