Details

sample663.0ms

Algorithm

intervals

Results

485.0ms	214×	body	10240	exit
56.0ms	74×	body	1280	valid
44.0ms	23×	body	320	valid
22.0ms	44×	body	640	valid
13.0ms	153×	body	80	nan
10.0ms	5×	body	2560	valid
10.0ms	95×	body	80	valid
3.0ms	15×	body	160	valid

simplify52.0ms

Calls

1 calls:

Slowest

52.0ms

(fmod (cosh c) (log1p a))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.1b

localize46.0ms

Local error

Found 2 expressions with local error:

37.6b	(fmod (cosh c) (log1p a))
0.0b	(cosh c)

rewrite7.0ms

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`

Calls

2 calls:

Slowest

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

series121.0ms

Calls

2 calls:

Slowest

102.0ms	(cosh c)
19.0ms	(fmod (cosh c) (log1p a))

simplify355.0ms

Calls

6 calls:

Slowest

106.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))
99.0ms	(+ (* 1/2 (pow c 2)) (+ (* 1/24 (pow c 4)) 1))
70.0ms	(* 1/2 (+ (exp c) (exp (- c))))
63.0ms	(fmod (cosh c) (log1p a))
9.0ms	(fmod (cosh c) (log1p a))

prune326.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 33.1b

localize20.0ms

Local error

Found 4 expressions with local error:

37.6b	(fmod (exp (log (cosh c))) (log1p a))
2.7b	(log (cosh c))
0.0b	(exp (log (cosh c)))
0.0b	(cosh c)

rewrite8.0ms

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×	`cosh-def` `exp-sum`
2×	`log-div` `log-pow`
1×	`exp-diff` `rem-log-exp` `rem-exp-log`

Calls

4 calls:

Slowest

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

series310.0ms

Calls

4 calls:

Slowest

199.0ms	(log (cosh c))
55.0ms	(cosh c)
52.0ms	(exp (log (cosh c)))
5.0ms	(fmod (exp (log (cosh c))) (log1p a))

simplify749.0ms

Calls

25 calls:

Slowest

109.0ms	(- (+ (* 1/2 (pow c 2)) (* 1/45 (pow c 6))) (* 1/12 (pow c 4)))
66.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))
63.0ms	(+ (* 1/2 (pow c 2)) (+ (* 1/24 (pow c 4)) 1))
63.0ms	(log (* 1/2 (+ (exp (* -1 c)) (exp c))))
54.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))

prune733.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 33.0b

localize5.0ms

Local error

Found 4 expressions with local error:

37.6b	(fmod (exp (log (cosh c))) (log1p a))
2.7b	(log (cosh c))
0.9b	(log (fmod (exp (log (cosh c))) (log1p a)))
0.6b	(exp (log (fmod (exp (log (cosh c))) (log1p a))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

2.0ms	(exp (log (fmod (exp (log (cosh c))) (log1p a))))
1.0ms	(log (cosh c))
1.0ms	(log (fmod (exp (log (cosh c))) (log1p a)))
0.0ms	(fmod (exp (log (cosh c))) (log1p a))

series229.0ms

Calls

4 calls:

Slowest

187.0ms	(log (cosh c))
30.0ms	(log (fmod (exp (log (cosh c))) (log1p a)))
7.0ms	(fmod (exp (log (cosh c))) (log1p a))
4.0ms	(exp (log (fmod (exp (log (cosh c))) (log1p a))))

simplify1.0s

Calls

29 calls:

Slowest

126.0ms	(- (+ (* 1/2 (pow c 2)) (* 1/45 (pow c 6))) (* 1/12 (pow c 4)))
104.0ms	(exp (* (cbrt (log (fmod (exp (log (cosh c))) (log1p a)))) (cbrt (log (fmod (exp (log (cosh c))) (log1p a))))))
96.0ms	(exp (sqrt (log (fmod (exp (log (cosh c))) (log1p a)))))
96.0ms	(log (* (cbrt (fmod (exp (log (cosh c))) (log1p a))) (cbrt (fmod (exp (log (cosh c))) (log1p a)))))
93.0ms	(exp (log (sqrt (fmod (exp (log (cosh c))) (log1p a)))))

prune933.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 32.8b

localize17.0ms

Local error

Found 4 expressions with local error:

37.6b	(fmod (exp (log (cosh c))) (log1p a))
37.6b	(fmod (exp (log (cosh c))) (log1p a))
37.6b	(fmod (exp (log (cosh c))) (log1p a))
2.7b	(log (cosh c))

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×	`log-div` `cosh-def` `rem-log-exp` `log-pow`

Calls

4 calls:

Slowest

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

series220.0ms

Calls

4 calls:

Slowest

207.0ms	(log (cosh c))
4.0ms	(fmod (exp (log (cosh c))) (log1p a))
4.0ms	(fmod (exp (log (cosh c))) (log1p a))
4.0ms	(fmod (exp (log (cosh c))) (log1p a))

simplify354.0ms

Calls

17 calls:

Slowest

101.0ms	(- (+ (* 1/2 (pow c 2)) (* 1/45 (pow c 6))) (* 1/12 (pow c 4)))
60.0ms	(log (* 1/2 (+ (exp (* -1 c)) (exp c))))
29.0ms	(log (* (cbrt (cosh c)) (cbrt (cosh c))))
29.0ms	(log (* 1/2 (+ (exp c) (exp (- c)))))
25.0ms	(log (+ (exp c) (exp (- c))))

prune945.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 32.8b

regimes711.0ms

Accuracy

0% (0.3b remaining)

Error of 34.8b against oracle of 34.5b and baseline of 34.8b

bsearch3.0ms

end0.0ms

sample17.1s

Algorithm

intervals

Results

12.6s	7712×	body	10240	exit
1.8s	2318×	body	1280	valid
790.0ms	5224×	body	80	nan
655.0ms	1565×	body	640	valid
297.0ms	855×	body	320	valid
289.0ms	2692×	body	80	valid
225.0ms	152×	body	2560	valid
80.0ms	408×	body	160	valid
21.0ms	10×	body	5120	valid