Details

Time bar (total: 9.4s)

sample117.0ms

Algorithm
intervals
Results
36.0ms48×body1280valid
21.0ms43×body640valid
21.0ms15×body320valid
17.0ms142×body80valid
2.0msbody160valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
199
2109
done109

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.7b

localize16.0ms

Local error

Found 3 expressions with local error:

0.7b
(- (sin (+ x 1.0)) (cos (+ x 1.0)))
1.1b
(sin (+ x 1.0))
1.1b
(cos (+ x 1.0))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity add-log-exp
pow1 add-cbrt-cube add-exp-log add-cube-cbrt
cos-sum sin-sum
sub-neg flip3-- diff-log associate--l+ flip-- distribute-lft-out-- associate--r- difference-of-squares
Counts
3 → 32
Calls
3 calls:
124.0ms
(- (sin (+ x 1.0)) (cos (+ x 1.0)))
18.0ms
(sin (+ x 1.0))
18.0ms
(cos (+ x 1.0))

series181.0ms

Counts
3 → 9
Calls
3 calls:
105.0ms
(- (sin (+ x 1.0)) (cos (+ x 1.0)))
36.0ms
(sin (+ x 1.0))
39.0ms
(cos (+ x 1.0))

simplify1.6s

Counts
41 → 41
Iterations

Useful iterations: done (1.6s)

IterNodesCost
068461
1139439
2340420
31158397
done5000396

prune282.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 23.8b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (- (sin (+ x 1.0)) (* (cos x) (cos 1.0))) (* (sin x) (sin 1.0)))
0.3b
(* (cos x) (cos 1.0))
0.7b
(- (sin (+ x 1.0)) (* (cos x) (cos 1.0)))
1.1b
(sin (+ x 1.0))

rewrite392.0ms

Algorithm
rewrite-expression-head
Rules
11×add-log-exp
add-sqr-sqrt
pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
associate-+l+ sin-sum associate-*r* associate-*l*
sum-log sub-neg flip3-- diff-log frac-add associate--l+ flip-- sin-mult
+-commutative flip3-+ pow-prod-down prod-exp cos-mult *-commutative associate-+l- cbrt-unprod flip-+ unswap-sqr
Counts
4 → 58
Calls
4 calls:
255.0ms
(+ (- (sin (+ x 1.0)) (* (cos x) (cos 1.0))) (* (sin x) (sin 1.0)))
22.0ms
(* (cos x) (cos 1.0))
81.0ms
(- (sin (+ x 1.0)) (* (cos x) (cos 1.0)))
31.0ms
(sin (+ x 1.0))

series887.0ms

Counts
4 → 12
Calls
4 calls:
404.0ms
(+ (- (sin (+ x 1.0)) (* (cos x) (cos 1.0))) (* (sin x) (sin 1.0)))
204.0ms
(* (cos x) (cos 1.0))
232.0ms
(- (sin (+ x 1.0)) (* (cos x) (cos 1.0)))
47.0ms
(sin (+ x 1.0))

simplify1.1s

Counts
70 → 70
Iterations

Useful iterations: 2 (314.0ms)

IterNodesCost
01331125
13331050
213191005
done50011005

prune440.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

regimes129.0ms

Accuracy

0% (0.6b remaining)

Error of 0.8b against oracle of 0.3b and baseline of 0.8b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01323
11923
done1923

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.7s1499×body1280valid
762.0ms1278×body640valid
697.0ms4279×body80valid
301.0ms623×body320valid
159.0ms321×body160valid