Details

sample1.1s

Algorithm

intervals

Results

903.0ms	291×	body	10240	exit
73.0ms	71×	body	1280	valid
32.0ms	49×	body	640	valid
20.0ms	176×	body	80	nan
13.0ms	95×	body	80	valid
10.0ms	25×	body	320	valid
5.0ms	4×	body	2560	valid
3.0ms	12×	body	160	valid

simplify62.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

61.0ms

(fmod (cosh c) (log1p a))

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.4b

localize49.0ms

Local error

Found 2 expressions with local error:

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

rewrite5.0ms

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

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

series85.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

75.0ms	(cosh c)
10.0ms	(fmod (cosh c) (log1p a))

simplify471.0ms

Counts

6 → 27

Calls

6 calls:

Slowest

202.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))
97.0ms	(+ (* 1/2 (pow c 2)) (+ (* 1/24 (pow c 4)) 1))
72.0ms	(fmod (cosh c) (log1p a))
45.0ms	(fmod (cosh c) (log1p a))
40.0ms	(* 1/2 (+ (exp c) (exp (- c))))

prune314.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 33.3b

localize21.0ms

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)

rewrite10.0ms

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

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

series90.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

63.0ms	(cosh c)
21.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(exp (log (fmod (cosh c) (log1p a))))
3.0ms	(fmod (cosh c) (log1p a))

simplify839.0ms

Counts

24 → 66

Calls

24 calls:

Slowest

218.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))
142.0ms	(exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))
77.0ms	(+ (* 1/2 (pow c 2)) (+ (* 1/24 (pow c 4)) 1))
64.0ms	(log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a)))))
49.0ms	(* 1/2 (+ (exp c) (exp (- c))))

prune1.1s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 33.1b

localize19.0ms

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)

rewrite6.0ms

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

3.0ms	(pow E (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))

series158.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

73.0ms	(pow E (log (fmod (cosh c) (log1p a))))
55.0ms	(cosh c)
26.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

simplify1.2s

Counts

28 → 73

Calls

28 calls:

Slowest

184.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))
134.0ms	(pow E (log (cbrt (fmod (cosh c) (log1p a)))))
115.0ms	(pow E (log (sqrt (fmod (cosh c) (log1p a)))))
78.0ms	(pow (sqrt E) (log (fmod (cosh c) (log1p a))))
69.0ms	(pow E (log (fmod (cosh c) (log1p a))))

prune1.7s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 33.1b

localize50.0ms

Local error

Found 4 expressions with local error:

38.0b	(fmod (expm1 (log1p (cosh c))) (log1p a))
20.1b	(log (fmod (expm1 (log1p (cosh c))) (log1p a)))
0.5b	(exp (log (fmod (expm1 (log1p (cosh c))) (log1p a))))
0.3b	(log1p (cosh c))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

Slowest

7.0ms	(exp (log (fmod (expm1 (log1p (cosh c))) (log1p a))))
3.0ms	(log (fmod (expm1 (log1p (cosh c))) (log1p a)))
1.0ms	(fmod (expm1 (log1p (cosh c))) (log1p a))
1.0ms	(log1p (cosh c))

series220.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

164.0ms	(log1p (cosh c))
45.0ms	(log (fmod (expm1 (log1p (cosh c))) (log1p a)))
6.0ms	(fmod (expm1 (log1p (cosh c))) (log1p a))
5.0ms	(exp (log (fmod (expm1 (log1p (cosh c))) (log1p a))))

simplify1.2s

Counts

25 → 67

Calls

25 calls:

Slowest

260.0ms	(log (+ (* 1/2 (exp (* -1 c))) (+ (* 1/2 (exp c)) 1)))
134.0ms	(- (+ (* 1/4 (pow c 2)) (log 2)) (* 1/96 (pow c 4)))
124.0ms	(exp (* (cbrt (log (fmod (expm1 (log1p (cosh c))) (log1p a)))) (cbrt (log (fmod (expm1 (log1p (cosh c))) (log1p a))))))
71.0ms	(log (+ (* 1/2 (exp c)) (+ 1 (* 1/2 (exp (- c))))))
53.0ms	(exp (log (sqrt (fmod (expm1 (log1p (cosh c))) (log1p a)))))

prune881.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 31.9b

regimes1.1s

Accuracy

0% (1.6b remaining)

Error of 34.3b against oracle of 32.7b and baseline of 34.3b

bsearch1.0ms

end0.0ms

sample17.6s

Algorithm

intervals

Results

13.1s	7919×	body	10240	exit
2.1s	2315×	body	1280	valid
759.0ms	1618×	body	640	valid
388.0ms	5291×	body	80	nan
254.0ms	159×	body	2560	valid
254.0ms	2755×	body	80	valid
245.0ms	738×	body	320	valid
82.0ms	410×	body	160	valid
9.0ms	5×	body	5120	valid