Details

Time bar (total: 3.4s)

sample259.0ms

Algorithm
intervals
Results
21.0ms47×body1280valid
12.0ms159×body80valid
12.0ms45×body640valid
5.0ms26×body320valid
2.0ms12×body160valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0187
1316
2396
3506
4536
5536

prune12.0ms

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

localize13.0ms

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)))

rewrite27.0ms

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))
10.0ms
(* x (/ 1.0 (tan B)))

series87.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
5.0ms
(/ 1.0 (sin B))
19.0ms
(/ 1.0 (tan B))
34.0ms
(* x (/ 1.0 (tan B)))

simplify46.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0386627
11479584
25001584

prune170.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1049113
Fresh000
Picked101
Done000
Total1059114

Merged error: 0.0b

Counts
114 → 9

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))

rewrite22.0ms

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)))
6.0ms
(/ 1.0 (sin B))
5.0ms
(/ (* x 1.0) (tan B))

series56.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
5.0ms
(/ 1.0 (sin B))
23.0ms
(/ (* x 1.0) (tan B))

simplify34.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0316461
11175428
25002428

prune101.0ms

Filtered
56 candidates to 74 candidates (-32.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New73174
Fresh178
Picked011
Done000
Total74983

Merged error: 0.0b

Counts
83 → 9

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)))

rewrite40.0ms

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:
22.0ms
(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
3.0ms
(/ 1.0 (sin B))
5.0ms
(/ (tan B) (* x 1.0))
7.0ms
(/ 1 (/ (tan B) (* x 1.0)))

series68.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
5.0ms
(/ 1.0 (sin B))
13.0ms
(/ (tan B) (* x 1.0))
20.0ms
(/ 1 (/ (tan B) (* x 1.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0527992
12281863
25001854

prune141.0ms

Filtered
87 candidates to 139 candidates (-59.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1381139
Fresh257
Picked101
Done011
Total1417148

Merged error: 0.0b

Counts
148 → 7

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)))

rewrite26.0ms

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))
9.0ms
(* (* x (/ 1.0 (sin B))) (cos B))
7.0ms
(* x (/ 1.0 (sin B)))

series40.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ 1.0 (sin B))
5.0ms
(/ 1.0 (sin B))
19.0ms
(* (* x (/ 1.0 (sin B))) (cos B))
11.0ms
(* x (/ 1.0 (sin B)))

simplify46.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0315645
11562560
25001560

prune113.0ms

Filtered
84 candidates to 119 candidates (-41.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1190119
Fresh055
Picked011
Done011
Total1197126

Merged error: 0.0b

Counts
126 → 7

regimes110.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106
1106

end0.0ms

sample1.9s

Algorithm
intervals
Results
734.0ms1705×body1280valid
392.0ms1432×body640valid
315.0ms4949×body80valid
127.0ms676×body320valid
51.0ms354×body160valid

Profiling

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