Details

Time bar (total: 4.2s)

sample67.0ms

Algorithm
intervals
Results
25.0ms59×body1280valid
14.0ms160×body80valid
12.0ms45×body640valid
4.0ms20×body320valid
2.0ms13×body160valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0187
1316
2396
3506
4536
5536

prune5.0ms

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: 0.2b

Counts
2 → 1

localize10.0ms

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)))

rewrite23.0ms

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))
4.0ms
(/ 1.0 (tan B))
7.0ms
(* x (/ 1.0 (tan B)))

series284.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
18.0ms
(/ 1.0 (sin B))
36.0ms
(/ 1.0 (tan B))
110.0ms
(* x (/ 1.0 (tan B)))

simplify44.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0386627
11479584
25001584

prune263.0ms

Filtered
113 candidates to 88 candidates (77.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New10310113
Fresh000
Picked101
Done000
Total10410114

Merged error: 0.0b

Counts
114 → 10

localize10.0ms

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

rewrite20.0ms

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
6×associate-/r*
5×add-log-exp
4×associate-/l*
3×pow1 cbrt-undiv div-exp
2×frac-2neg clear-num div-inv difference-of-squares
1×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:
10.0ms
(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
3.0ms
(/ 1.0 (sin B))
5.0ms
(/ (* x 1.0) (tan B))

series245.0ms

Counts
3 → 9
Calls
3 calls:
120.0ms
(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
18.0ms
(/ 1.0 (sin B))
108.0ms
(/ (* x 1.0) (tan B))

simplify36.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0316461
11175428
25001428

prune164.0ms

Filtered
74 candidates to 56 candidates (75.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New73174
Fresh189
Picked011
Done000
Total741084

Merged error: 0.0b

Counts
84 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
0.1b
(/ (tan B) (* x 1.0))
0.1b
(/ 1.0 (sin B))
0.3b
(/ 1 (/ (tan B) (* x 1.0)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
54×times-frac
47×add-sqr-sqrt
39×*-un-lft-identity
32×add-exp-log
30×add-cube-cbrt
20×add-cbrt-cube
15×div-exp
11×associate-/r*
9×associate-/l*
8×cbrt-undiv div-inv
6×add-log-exp difference-of-squares
5×pow1
4×prod-exp
3×rec-exp frac-2neg 1-exp clear-num distribute-lft-out--
2×cbrt-unprod
1×tan-quot sub-neg flip3-- pow-flip diff-log associate-/r/ frac-sub flip-- associate-/l/ inv-pow
Counts
4 → 127
Calls
4 calls:
19.0ms
(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
5.0ms
(/ (tan B) (* x 1.0))
3.0ms
(/ 1.0 (sin B))
7.0ms
(/ 1 (/ (tan B) (* x 1.0)))

series275.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
52.0ms
(/ (tan B) (* x 1.0))
18.0ms
(/ 1.0 (sin B))
85.0ms
(/ 1 (/ (tan B) (* x 1.0)))

simplify61.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0527996
12281867
25001858

prune242.0ms

Filtered
139 candidates to 88 candidates (63.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1381139
Fresh358
Picked011
Done011
Total1418149

Merged error: 0.0b

Counts
149 → 8

localize10.0ms

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))
0.3b
(* x (/ 1.0 (sin B)))

rewrite24.0ms

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))
7.0ms
(* x (/ 1.0 (sin B)))

series196.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ 1.0 (sin B))
19.0ms
(/ 1.0 (sin B))
100.0ms
(* (* x (/ 1.0 (sin B))) (cos B))
56.0ms
(* x (/ 1.0 (sin B)))

simplify49.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0315645
11562560
25001560

prune217.0ms

Filtered
119 candidates to 84 candidates (70.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1190119
Fresh055
Picked011
Done022
Total1198127

Merged error: 0.0b

Counts
127 → 8

regimes59.0ms

Accuracy

0% (0.1b 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
0106
1106

end0.0ms

sample1.8s

Algorithm
intervals
Results
717.0ms1689×body1280valid
391.0ms1416×body640valid
332.0ms5014×body80valid
137.0ms677×body320valid
51.0ms373×body160valid