Details

Time bar (total: 9.3s)

sample94.0ms

Algorithm
intervals
Results
27.0ms63×body1280valid
14.0ms51×body640valid
13.0ms157×body80valid
3.0ms17×body320valid
2.0ms13×body160valid

simplify35.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
01012
11812
23011
34011
45111
55411
done5411

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1

localize18.0ms

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))
0.2b
(/ 1.0 (tan B))
0.3b
(* x (/ 1.0 (tan B)))

rewrite30.0ms

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
6×pow1 associate-/r* associate-/l* add-log-exp
3×cbrt-undiv div-exp associate-*l* div-inv
2×tan-quot frac-2neg associate-*r/ prod-exp clear-num associate-/r/ cbrt-unprod unswap-sqr
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip--
Counts
4 → 101
Calls
4 calls:
7.0ms
(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
4.0ms
(/ 1.0 (sin B))
4.0ms
(/ 1.0 (tan B))
10.0ms
(* x (/ 1.0 (tan B)))

series89.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
5.0ms
(/ 1.0 (sin B))
13.0ms
(/ 1.0 (tan B))
37.0ms
(* x (/ 1.0 (tan B)))

simplify1.4s

Counts
113 → 113
Iterations

Useful iterations: 2 (162.0ms)

IterNodesCost
01751141
13891074
2957996
32839996
done5001996

prune189.0ms

Filtered
88 candidates to 113 candidates (-28.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1058113
Fresh000
Picked101
Done000
Total1068114

Merged error: 0.0b

Counts
114 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube
12×times-frac
6×pow1 associate-/r* add-log-exp
4×associate-/l*
3×cbrt-undiv div-exp associate-*r* associate-*l* div-inv
2×frac-2neg associate-*r/ prod-exp clear-num cbrt-unprod
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip-- distribute-lft-out-- sub-div unswap-sqr
Counts
4 → 81
Calls
4 calls:
7.0ms
(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
4.0ms
(/ 1.0 (sin B))
5.0ms
(* x (cos B))
6.0ms
(/ (* x (cos B)) (sin B))

series60.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
5.0ms
(/ 1.0 (sin B))
7.0ms
(* x (cos B))
19.0ms
(/ (* x (cos B)) (sin B))

simplify2.3s

Counts
93 → 93
Iterations

Useful iterations: 2 (134.0ms)

IterNodesCost
01501006
1336964
2950863
34346863
done5001863

prune131.0ms

Filtered
68 candidates to 93 candidates (-36.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New90393
Fresh167
Picked101
Done000
Total929101

Merged error: 0.0b

Counts
101 → 9

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
4×pow1
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv unswap-sqr
Counts
2 → 48
Calls
2 calls:
6.0ms
(/ (- 1.0 (* 1.0 (* x (cos B)))) (sin B))
5.0ms
(* x (cos B))

series25.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ (- 1.0 (* 1.0 (* x (cos B)))) (sin B))
7.0ms
(* x (cos B))

simplify1.3s

Counts
54 → 54
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0103734
1228711
2592643
31852641
done5000640

prune89.0ms

Filtered
40 candidates to 54 candidates (-35.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New53154
Fresh178
Picked011
Done000
Total54963

Merged error: 0.0b

Counts
63 → 9

localize12.0ms

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))

rewrite26.0ms

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
9×pow1
6×associate-/r* associate-/l* add-log-exp
5×prod-exp cbrt-unprod
3×cbrt-undiv associate-*r/ div-exp associate-*r* pow-prod-down associate-*l/
2×frac-2neg clear-num div-inv
1×sub-neg flip3-- diff-log associate-*l* *-commutative frac-sub flip-- sub-div
Counts
4 → 89
Calls
4 calls:
7.0ms
(- (/ 1.0 (sin B)) (* (* 1.0 (/ x (sin B))) (cos B)))
4.0ms
(/ 1.0 (sin B))
4.0ms
(/ x (sin B))
8.0ms
(* (* 1.0 (/ x (sin B))) (cos B))

series67.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(- (/ 1.0 (sin B)) (* (* 1.0 (/ x (sin B))) (cos B)))
5.0ms
(/ 1.0 (sin B))
12.0ms
(/ x (sin B))
23.0ms
(* (* 1.0 (/ x (sin B))) (cos B))

simplify1.2s

Counts
101 → 101
Iterations

Useful iterations: 2 (218.0ms)

IterNodesCost
01691176
13851109
21240996
done5000996

prune103.0ms

Filtered
73 candidates to 101 candidates (-38.4%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1010101
Fresh077
Picked011
Done011
Total1019110

Merged error: 0.0b

Counts
110 → 9

regimes126.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11111
done1111

end0.0ms

sample2.0s

Algorithm
intervals
Results
754.0ms1755×body1280valid
398.0ms1441×body640valid
347.0ms4874×body80valid
146.0ms721×body320valid
52.0ms367×body160valid

Profiling

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