Details

sample571.0ms

Algorithm

intervals

Results

389.0ms	212×	body	10240	exit
91.0ms	70×	body	1280	valid
24.0ms	49×	body	640	valid
15.0ms	152×	body	80	nan
12.0ms	6×	body	2560	valid
10.0ms	95×	body	80	valid
10.0ms	27×	body	320	valid
2.0ms	9×	body	160	valid

simplify15.0ms

Calls

1 calls:

Slowest

14.0ms

(fmod (cosh c) (log1p a))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.0b

localize12.0ms

Local error

Found 2 expressions with local error:

37.5b	(fmod (cosh c) (log1p a))
0.0b	(cosh c)

rewrite4.0ms

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`

Calls

2 calls:

Slowest

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

series99.0ms

Calls

2 calls:

Slowest

90.0ms	(cosh c)
9.0ms	(fmod (cosh c) (log1p a))

simplify311.0ms

Calls

6 calls:

Slowest

183.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))
54.0ms	(+ (* 1/2 (pow c 2)) (+ (* 1/24 (pow c 4)) 1))
38.0ms	(* 1/2 (+ (exp c) (exp (- c))))
11.0ms	(fmod (cosh c) (log1p a))
11.0ms	(fmod (cosh c) (log1p a))

prune254.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 33.0b

localize35.0ms

Local error

Found 3 expressions with local error:

37.7b	(fmod (expm1 (log1p (cosh c))) (log1p a))
0.1b	(expm1 (log1p (cosh c)))
0.0b	(cosh c)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`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×	`expm1-log1p` `cosh-def` `expm1-udef`

Calls

3 calls:

Slowest

3.0ms	(cosh c)
1.0ms	(fmod (expm1 (log1p (cosh c))) (log1p a))
1.0ms	(expm1 (log1p (cosh c)))

series324.0ms

Calls

3 calls:

Slowest

239.0ms	(expm1 (log1p (cosh c)))
80.0ms	(cosh c)
5.0ms	(fmod (expm1 (log1p (cosh c))) (log1p a))

simplify783.0ms

Calls

9 calls:

Slowest

267.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))
264.0ms	(+ (* 1/2 (exp (* -1 c))) (* 1/2 (exp c)))
73.0ms	(+ (* 1/2 (pow c 2)) (+ (* 1/24 (pow c 4)) 1))
49.0ms	(+ (* 1/2 (pow c 2)) (+ (* 1/24 (pow c 4)) 1))
35.0ms	(fmod (expm1 (log1p (cosh c))) (log1p a))

prune578.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 33.0b

localize27.0ms

Local error

Found 4 expressions with local error:

37.7b	(fmod (expm1 (log1p (exp (log (cosh c))))) (log1p a))
1.6b	(log (cosh c))
0.1b	(expm1 (log1p (exp (log (cosh c)))))
0.1b	(exp (log (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-div` `cosh-def` `log-pow`
1×	`expm1-log1p` `exp-diff` `rem-log-exp` `expm1-udef` `rem-exp-log`

Calls

4 calls:

Slowest

3.0ms	(exp (log (cosh c)))
2.0ms	(log (cosh c))
0.0ms	(fmod (expm1 (log1p (exp (log (cosh c))))) (log1p a))
0.0ms	(expm1 (log1p (exp (log (cosh c)))))

series506.0ms

Calls

4 calls:

Slowest

227.0ms	(expm1 (log1p (exp (log (cosh c)))))
226.0ms	(log (cosh c))
50.0ms	(exp (log (cosh c)))
3.0ms	(fmod (expm1 (log1p (exp (log (cosh c))))) (log1p a))

simplify1.5s

Calls

26 calls:

Slowest

254.0ms	(- (+ (* 1/2 (pow c 2)) (* 1/45 (pow c 6))) (* 1/12 (pow c 4)))
212.0ms	(+ (* 1/2 (exp (* -1 c))) (* 1/2 (exp c)))
202.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))
190.0ms	(log (* 1/2 (+ (exp (* -1 c)) (exp c))))
130.0ms	(exp (* (cbrt (log (cosh c))) (cbrt (log (cosh c)))))

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 32.9b

localize46.0ms

Local error

Found 4 expressions with local error:

37.7b	(fmod (expm1 (log1p (exp (expm1 (log1p (log (cosh c))))))) (log1p a))
1.6b	(log (cosh c))
0.1b	(expm1 (log1p (exp (expm1 (log1p (log (cosh c)))))))
0.1b	(exp (expm1 (log1p (log (cosh c)))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

4.0ms	(log (cosh c))
3.0ms	(exp (expm1 (log1p (log (cosh c)))))
1.0ms	(fmod (expm1 (log1p (exp (expm1 (log1p (log (cosh c))))))) (log1p a))
0.0ms	(expm1 (log1p (exp (expm1 (log1p (log (cosh c)))))))

series1.2s

Calls

4 calls:

Slowest

526.0ms	(expm1 (log1p (exp (expm1 (log1p (log (cosh c)))))))
384.0ms	(exp (expm1 (log1p (log (cosh c)))))
258.0ms	(log (cosh c))
6.0ms	(fmod (expm1 (log1p (exp (expm1 (log1p (log (cosh c))))))) (log1p a))

simplify1.7s

Calls

23 calls:

Slowest

301.0ms	(- (+ (* 1/2 (pow c 2)) (* 1/45 (pow c 6))) (* 1/12 (pow c 4)))
205.0ms	(+ (* 1/2 (exp (* -1 c))) (* 1/2 (exp c)))
196.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))
196.0ms	(log (* 1/2 (+ (exp (* -1 c)) (exp c))))
120.0ms	(exp (* (cbrt (expm1 (log1p (log (cosh c))))) (cbrt (expm1 (log1p (log (cosh c)))))))

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 32.9b

regimes381.0ms

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

end0.0ms

sample16.5s

Algorithm

intervals

Results

11.8s	7660×	body	10240	exit
1.8s	2293×	body	1280	valid
1.0s	1608×	body	640	valid
672.0ms	5326×	body	80	nan
380.0ms	2787×	body	80	valid
203.0ms	143×	body	2560	valid
199.0ms	753×	body	320	valid
77.0ms	408×	body	160	valid
17.0ms	8×	body	5120	valid