Details

Time bar (total: 4.3s)

sample66.0ms

Algorithm
intervals
Results
30.0ms70×body1280valid
10.0ms38×body640valid
10.0ms148×body80valid
3.0ms16×body320valid
2.0ms15×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0187
1316
2396
3506
4536
5536

prune6.0ms

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

localize11.0ms

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)))

rewrite25.0ms

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

series292.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
19.0ms
(/ 1.0 (sin B))
35.0ms
(/ 1.0 (tan B))
118.0ms
(* x (/ 1.0 (tan B)))

simplify44.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0386627
11479584
25001584

prune255.0ms

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))

rewrite23.0ms

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:
13.0ms
(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
3.0ms
(/ 1.0 (sin B))
5.0ms
(/ (* x 1.0) (tan B))

series241.0ms

Counts
3 → 9
Calls
3 calls:
119.0ms
(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
18.0ms
(/ 1.0 (sin B))
104.0ms
(/ (* x 1.0) (tan B))

simplify35.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0316461
11175428
25001428

prune148.0ms

Filtered
74 candidates to 55 candidates (74.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New72274
Fresh369
Picked011
Done000
Total75984

Merged error: 0.0b

Counts
84 → 9

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))

series265.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(- (/ 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))

simplify43.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0333572
11375511
25001511

prune190.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New92193
Fresh077
Picked011
Done011
Total9210102

Merged error: 0.0b

Counts
102 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
0.1b
(/ 1.0 (sin B))
0.2b
(/ (tan B) (* x 1.0))
0.3b
(/ 1 (/ (tan B) (* x 1.0)))

rewrite42.0ms

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:
20.0ms
(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
4.0ms
(/ 1.0 (sin B))
5.0ms
(/ (tan B) (* x 1.0))
9.0ms
(/ 1 (/ (tan B) (* x 1.0)))

series279.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
18.0ms
(/ 1.0 (sin B))
53.0ms
(/ (tan B) (* x 1.0))
88.0ms
(/ 1 (/ (tan B) (* x 1.0)))

simplify57.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0527996
12281867
25001858

prune219.0ms

Filtered
139 candidates to 87 candidates (62.6%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1381139
Fresh167
Picked011
Done022
Total13910149

Merged error: 0.0b

Counts
149 → 10

regimes70.0ms

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

sample1.9s

Algorithm
intervals
Results
757.0ms1749×body1280valid
403.0ms1429×body640valid
335.0ms4899×body80valid
144.0ms723×body320valid
51.0ms364×body160valid

Profiling

Loading profile data...