Details

Time bar (total: 19.6s)

sample361.0ms

Algorithm
intervals
Results
128.0ms17×body160valid
117.0ms53×body1280valid
21.0ms38×body640valid
20.0ms147×body80valid
13.0ms28×body320valid

simplify85.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
01012
11812
23111
33911
45011
55211
done5211

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
0.1b
(/ 1.0 (sin B))
0.1b
(/ 1.0 (tan B))
0.3b
(* x (/ 1.0 (tan B)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
28×add-cube-cbrt *-un-lft-identity times-frac
14×associate-*r*
13×add-exp-log add-cbrt-cube
pow1 associate-/r* associate-/l* add-log-exp
cbrt-undiv div-exp associate-*l* div-inv
tan-quot frac-2neg associate-*r/ prod-exp clear-num associate-/r/ cbrt-unprod unswap-sqr
sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip--
Counts
4 → 101
Calls
4 calls:
48.0ms
(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
6.0ms
(/ 1.0 (sin B))
6.0ms
(/ 1.0 (tan B))
23.0ms
(* x (/ 1.0 (tan B)))

series462.0ms

Counts
4 → 12
Calls
4 calls:
229.0ms
(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
40.0ms
(/ 1.0 (sin B))
55.0ms
(/ 1.0 (tan B))
137.0ms
(* x (/ 1.0 (tan B)))

simplify2.6s

Counts
113 → 113
Iterations

Useful iterations: 2 (260.0ms)

IterNodesCost
01741141
13831074
2964996
32656996
done5000996

prune466.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
0.1b
(/ 1.0 (sin B))
0.1b
(/ (* x 1.0) (tan B))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt times-frac
10×add-exp-log add-cbrt-cube
associate-/r*
add-log-exp
associate-/l*
pow1 cbrt-undiv div-exp
frac-2neg clear-num div-inv difference-of-squares
tan-quot sub-neg flip3-- diff-log prod-exp associate-/r/ frac-sub flip-- cbrt-unprod distribute-lft-out--
Counts
3 → 65
Calls
3 calls:
48.0ms
(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
12.0ms
(/ 1.0 (sin B))
21.0ms
(/ (* x 1.0) (tan B))

series420.0ms

Counts
3 → 9
Calls
3 calls:
213.0ms
(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
25.0ms
(/ 1.0 (sin B))
182.0ms
(/ (* x 1.0) (tan B))

simplify2.5s

Counts
74 → 74
Iterations

Useful iterations: 2 (264.0ms)

IterNodesCost
0143847
1316799
2870739
33273739
done5001739

prune283.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1.0 (sin B)) (* (* 1.0 (/ x (sin B))) (cos B)))
0.1b
(/ 1.0 (sin B))
0.1b
(/ x (sin B))
0.2b
(* (* 1.0 (/ x (sin B))) (cos B))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
17×add-exp-log add-cbrt-cube
pow1
associate-/r* associate-/l* add-log-exp
prod-exp cbrt-unprod
cbrt-undiv associate-*r/ div-exp associate-*r* pow-prod-down associate-*l/
frac-2neg clear-num div-inv
sub-neg flip3-- diff-log associate-*l* *-commutative frac-sub flip-- sub-div
Counts
4 → 89
Calls
4 calls:
65.0ms
(- (/ 1.0 (sin B)) (* (* 1.0 (/ x (sin B))) (cos B)))
11.0ms
(/ 1.0 (sin B))
11.0ms
(/ x (sin B))
68.0ms
(* (* 1.0 (/ x (sin B))) (cos B))

series456.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(- (/ 1.0 (sin B)) (* (* 1.0 (/ x (sin B))) (cos B)))
32.0ms
(/ 1.0 (sin B))
83.0ms
(/ x (sin B))
158.0ms
(* (* 1.0 (/ x (sin B))) (cos B))

simplify1.6s

Counts
101 → 101
Iterations

Useful iterations: 2 (329.0ms)

IterNodesCost
01681176
13781109
21206996
done5000996

prune378.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1.0 (sin B)) (- (* (* 1.0 (/ x (sin B))) (cos B))))
0.1b
(/ 1.0 (sin B))
0.1b
(/ x (sin B))
0.2b
(* (* 1.0 (/ x (sin B))) (cos B))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
21×add-sqr-sqrt add-cube-cbrt
18×times-frac
17×add-exp-log add-cbrt-cube
pow1
add-log-exp
associate-/r* associate-/l*
prod-exp cbrt-unprod
cbrt-undiv div-exp associate-*r* pow-prod-down
frac-2neg associate-*r/ associate-*l/ clear-num sum-log div-inv
+-commutative neg-sub0 associate-+r- flip3-+ associate-*l* unsub-neg neg-log frac-add *-commutative flip-+ distribute-neg-frac distribute-lft-out
Counts
4 → 92
Calls
4 calls:
50.0ms
(+ (/ 1.0 (sin B)) (- (* (* 1.0 (/ x (sin B))) (cos B))))
11.0ms
(/ 1.0 (sin B))
12.0ms
(/ x (sin B))
73.0ms
(* (* 1.0 (/ x (sin B))) (cos B))

series438.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(+ (/ 1.0 (sin B)) (- (* (* 1.0 (/ x (sin B))) (cos B))))
45.0ms
(/ 1.0 (sin B))
72.0ms
(/ x (sin B))
146.0ms
(* (* 1.0 (/ x (sin B))) (cos B))

simplify2.0s

Counts
104 → 104
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01741206
14071137
214131004
done50011001

prune403.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes93.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify17.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01115
11815
22615
32815
done2815

end0.0ms

sample6.3s

Algorithm
intervals
Results
3.1s1654×body1280valid
1.5s1505×body640valid
766.0ms4888×body80valid
409.0ms702×body320valid
162.0ms344×body160valid