Details

Time bar (total: 5.0s)

sample311.0ms

Algorithm
intervals
Results
26.0ms64×body1280valid
12.0ms38×body640valid
9.0ms154×body80valid
5.0ms26×body320valid
2.0ms12×body160valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0187
1316
2396
3506
4536
5536

prune12.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.3b

Counts
2 → 1

localize26.0ms

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)))

rewrite26.0ms

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:
6.0ms
(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
3.0ms
(/ 1.0 (sin B))
3.0ms
(/ 1.0 (tan B))
10.0ms
(* x (/ 1.0 (tan B)))

series298.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
23.0ms
(/ 1.0 (sin B))
34.0ms
(/ 1.0 (tan B))
121.0ms
(* x (/ 1.0 (tan B)))

simplify45.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0386627
11479584
25001584

prune424.0ms

Filtered
113 candidates to 88 candidates (77.9%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New10211113
Fresh000
Picked101
Done000
Total10311114

Merged error: 0.0b

Counts
114 → 11

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

rewrite20.0ms

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:
6.0ms
(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
3.0ms
(/ 1.0 (sin B))
4.0ms
(* x (cos B))
5.0ms
(/ (* x (cos B)) (sin B))

series262.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
18.0ms
(/ 1.0 (sin B))
39.0ms
(* x (cos B))
94.0ms
(/ (* x (cos B)) (sin B))

simplify41.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0333572
11375511
25001511

prune314.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New91293
Fresh2810
Picked101
Done000
Total9410104

Merged error: 0.0b

Counts
104 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 60
Calls
3 calls:
3.0ms
(- 1.0 (* 1.0 (* x (cos B))))
4.0ms
(* x (cos B))
5.0ms
(/ (- 1.0 (* 1.0 (* x (cos B)))) (sin B))

series161.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- 1.0 (* 1.0 (* x (cos B))))
39.0ms
(* x (cos B))
76.0ms
(/ (- 1.0 (* 1.0 (* x (cos B)))) (sin B))

simplify144.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0263516
1933466
24859464
35001464

prune240.0ms

Filtered
69 candidates to 50 candidates (72.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New69069
Fresh099
Picked011
Done000
Total691079

Merged error: 0.0b

Counts
79 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1.0 (sin B))
0.1b
(/ 1.0 (sin B))
0.2b
(* (* x (/ 1.0 (sin B))) (cos B))
0.4b
(* x (/ 1.0 (sin B)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
29×add-cube-cbrt *-un-lft-identity
28×times-frac
22×add-exp-log add-cbrt-cube
16×associate-*r*
11×pow1
7×prod-exp cbrt-unprod
6×associate-/r* associate-/l*
4×cbrt-undiv div-exp associate-*l* pow-prod-down add-log-exp
3×div-inv
2×frac-2neg associate-*r/ clear-num *-commutative unswap-sqr
1×associate-*l/
Counts
4 → 107
Calls
4 calls:
3.0ms
(/ 1.0 (sin B))
3.0ms
(/ 1.0 (sin B))
7.0ms
(* (* x (/ 1.0 (sin B))) (cos B))
6.0ms
(* x (/ 1.0 (sin B)))

series194.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ 1.0 (sin B))
18.0ms
(/ 1.0 (sin B))
105.0ms
(* (* x (/ 1.0 (sin B))) (cos B))
53.0ms
(* x (/ 1.0 (sin B)))

simplify47.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0315645
11562560
25001560

prune340.0ms

Filtered
119 candidates to 84 candidates (70.6%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1190119
Fresh088
Picked011
Done011
Total11910129

Merged error: 0.0b

Counts
129 → 10

regimes147.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116
1116

end0.0ms

sample1.8s

Algorithm
intervals
Results
702.0ms1698×body1280valid
375.0ms1436×body640valid
307.0ms4893×body80valid
134.0ms725×body320valid
47.0ms338×body160valid

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