Details

Time bar (total: 10.2s)

sample526.0ms

Algorithm
intervals
Results
314.0ms45×body640valid
101.0ms51×body1280valid
31.0ms157×body80valid
11.0ms21×body320valid
3.0ms7×body160valid

simplify10.0ms

Counts
1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
28×times-frac
27×add-cube-cbrt *-un-lft-identity
14×associate-*r*
12×add-exp-log add-cbrt-cube
6×associate-/r* associate-/l*
5×pow1
3×cbrt-undiv div-exp associate-*l* div-inv add-log-exp
2×tan-quot frac-2neg prod-exp clear-num associate-/r/ cbrt-unprod unswap-sqr
1×associate-*r/ pow-prod-down *-commutative
Counts
3 → 88
Calls
3 calls:
14.0ms
(/ 1.0 (tan B))
16.0ms
(/ 1.0 (sin B))
50.0ms
(* x (/ 1.0 (tan B)))

series327.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(/ 1.0 (tan B))
22.0ms
(/ 1.0 (sin B))
236.0ms
(* x (/ 1.0 (tan B)))

simplify64.0ms

Counts
97 → 97

prune384.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (* x 1.0) (tan B))
0.2b
(/ 1.0 (sin B))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
9×add-exp-log add-cbrt-cube
6×associate-/r*
4×associate-/l*
3×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num div-inv add-log-exp
1×tan-quot prod-exp associate-/r/ cbrt-unprod
Counts
2 → 49
Calls
2 calls:
18.0ms
(/ (* x 1.0) (tan B))
19.0ms
(/ 1.0 (sin B))

series177.0ms

Counts
2 → 6
Calls
2 calls:
155.0ms
(/ (* x 1.0) (tan B))
22.0ms
(/ 1.0 (sin B))

simplify77.0ms

Counts
55 → 55

prune274.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
12×add-exp-log times-frac add-cbrt-cube
6×associate-/r*
5×pow1
4×associate-/l*
3×cbrt-undiv div-exp associate-*r* associate-*l* add-log-exp
2×frac-2neg prod-exp clear-num cbrt-unprod div-inv
1×pow-prod-down *-commutative unswap-sqr
Counts
3 → 66
Calls
3 calls:
14.0ms
(* x (cos B))
19.0ms
(/ (* x (cos B)) (sin B))
12.0ms
(/ 1.0 (sin B))

series223.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(* x (cos B))
124.0ms
(/ (* x (cos B)) (sin B))
32.0ms
(/ 1.0 (sin B))

simplify93.0ms

Counts
75 → 75

prune321.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
28×times-frac
27×add-cube-cbrt *-un-lft-identity
13×associate-*r*
12×add-exp-log add-cbrt-cube
6×associate-/r* associate-/l*
5×pow1
3×cbrt-undiv div-exp associate-*l* div-inv add-log-exp
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×associate-*r/ pow-prod-down *-commutative
Counts
3 → 86
Calls
3 calls:
11.0ms
(/ 1.0 (sin B))
20.0ms
(/ (cos B) (sin B))
35.0ms
(* x (/ (cos B) (sin B)))

series231.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(/ 1.0 (sin B))
37.0ms
(/ (cos B) (sin B))
173.0ms
(* x (/ (cos B) (sin B)))

simplify76.0ms

Counts
95 → 95

prune298.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes104.0ms

Accuracy

-34.7% (0.2b remaining)

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

bsearch0.0ms

simplify248.0ms

end0.0ms

sample6.4s

Algorithm
intervals
Results
2.8s1733×body1280valid
1.0s4943×body80valid
991.0ms1427×body640valid
678.0ms347×body160valid
462.0ms755×body320valid