Details

Time bar (total: 11.9s)

sample159.0ms

Algorithm
intervals
Results
44.0ms52×body1280valid
43.0ms19×body320valid
24.0ms43×body640valid
18.0ms132×body80valid
6.0ms11×body160valid

simplify67.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11711
23011
33811
45411
56011
done6011

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (sin x) (* 32.03 pi))
0.4b
(/ (- (sin x) (* 32.03 pi)) (cos (+ x 1.0)))
2.0b
(cos (+ x 1.0))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
times-frac
add-cbrt-cube add-exp-log add-log-exp
pow1 associate-/r* associate-/l*
flip3-- flip-- associate-/l/
cbrt-undiv cos-sum clear-num sub-neg frac-2neg diff-log div-sub div-exp div-inv
Counts
3 → 50
Calls
3 calls:
16.0ms
(- (sin x) (* 32.03 pi))
53.0ms
(/ (- (sin x) (* 32.03 pi)) (cos (+ x 1.0)))
19.0ms
(cos (+ x 1.0))

series389.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(- (sin x) (* 32.03 pi))
274.0ms
(/ (- (sin x) (* 32.03 pi)) (cos (+ x 1.0)))
38.0ms
(cos (+ x 1.0))

simplify887.0ms

Counts
59 → 59
Iterations

Useful iterations: done (884.0ms)

IterNodesCost
0106858
1257830
2937766
done5000764

prune381.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.4b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sin x) (sin 1.0))
0.2b
(- (* (cos x) (cos 1.0)) (* (sin x) (sin 1.0)))
0.3b
(* (cos x) (cos 1.0))
0.4b
(/ (- (sin x) (* 32.03 pi)) (- (* (cos x) (cos 1.0)) (* (sin x) (sin 1.0))))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×*-un-lft-identity add-cube-cbrt
10×add-cbrt-cube add-exp-log
times-frac
pow1
associate-*r* associate-*l* add-log-exp
cos-mult sin-mult
associate-/r/
associate-/r* flip3-- flip-- associate-/l*
pow-prod-down prod-exp *-commutative frac-sub cbrt-unprod sub-div unswap-sqr associate-/l/
cbrt-undiv clear-num sub-neg frac-2neg diff-log div-sub div-exp div-inv
Counts
4 → 86
Calls
4 calls:
28.0ms
(* (sin x) (sin 1.0))
34.0ms
(- (* (cos x) (cos 1.0)) (* (sin x) (sin 1.0)))
21.0ms
(* (cos x) (cos 1.0))
84.0ms
(/ (- (sin x) (* 32.03 pi)) (- (* (cos x) (cos 1.0)) (* (sin x) (sin 1.0))))

series1.5s

Counts
4 → 12
Calls
4 calls:
210.0ms
(* (sin x) (sin 1.0))
346.0ms
(- (* (cos x) (cos 1.0)) (* (sin x) (sin 1.0)))
199.0ms
(* (cos x) (cos 1.0))
759.0ms
(/ (- (sin x) (* 32.03 pi)) (- (* (cos x) (cos 1.0)) (* (sin x) (sin 1.0))))

simplify1.8s

Counts
98 → 98
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01891739
14751687
220351572
done50021514

prune685.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

regimes675.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01623
12023
done2023

end0.0ms

sample5.0s

Algorithm
intervals
Results
2.0s1515×body1280valid
1.1s1306×body640valid
791.0ms4254×body80valid
437.0ms649×body320valid
168.0ms307×body160valid