Details

Time bar (total: 4.4s)

analyze912.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
12.5%87.4%0.1%6
18.7%81.2%0.1%7
25%73.4%1.7%8
28.1%68.7%3.2%9
31.2%62.8%6%10
32.8%60.1%7.1%11
34.3%56.7%9%12
35.1%55.2%9.7%13
35.9%53.4%10.7%14

sample63.0ms

Algorithm
intervals
Results
24.0ms54×body1280valid
12.0ms44×body640valid
10.0ms128×body80valid
3.0ms16×body320valid
2.0ms14×body160valid
0.0ms5×body80invalid

simplify443.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
038211
138211

prune11.0ms

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

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

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:
3.0ms
(/ 1.0 (sin B))
3.0ms
(/ 1.0 (tan B))
9.0ms
(* x (/ 1.0 (tan B)))

series56.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(/ 1.0 (sin B))
11.0ms
(/ 1.0 (tan B))
33.0ms
(* x (/ 1.0 (tan B)))

simplify58.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05107738

prune164.0ms

Filtered
75 candidates to 97 candidates (-29.3%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New861197
Fresh000
Picked101
Done000
Total871198

Merged error: 0.0b

Counts
98 → 11

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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

series28.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1.0 (sin B))
23.0ms
(/ (* x 1.0) (tan B))

simplify51.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05630416

prune91.0ms

Filtered
41 candidates to 55 candidates (-34.1%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New54155
Fresh1910
Picked011
Done000
Total551166

Merged error: 0.0b

Counts
66 → 11

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

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:
3.0ms
(/ x (sin B))
3.0ms
(/ 1.0 (sin B))
7.0ms
(* (cos B) (/ x (sin B)))

series33.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ x (sin B))
4.0ms
(/ 1.0 (sin B))
15.0ms
(* (cos B) (/ x (sin B)))

simplify54.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05239748

prune120.0ms

Filtered
71 candidates to 95 candidates (-33.8%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New94195
Fresh099
Picked011
Done011
Total9412106

Merged error: 0.0b

Counts
106 → 12

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
31×add-exp-log
29×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×add-cbrt-cube
15×div-exp
11×associate-/r*
9×associate-/l*
8×cbrt-undiv
7×div-inv
4×pow1 prod-exp
3×rec-exp frac-2neg 1-exp clear-num add-log-exp
2×cbrt-unprod
1×tan-quot pow-flip associate-/r/ associate-/l/ inv-pow
Counts
3 → 105
Calls
3 calls:
3.0ms
(/ 1.0 (sin B))
5.0ms
(/ (tan B) (* x 1.0))
6.0ms
(/ 1 (/ (tan B) (* x 1.0)))

series37.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1.0 (sin B))
13.0ms
(/ (tan B) (* x 1.0))
19.0ms
(/ 1 (/ (tan B) (* x 1.0)))

simplify61.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
050241004

prune107.0ms

Filtered
73 candidates to 114 candidates (-56.2%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1122114
Fresh189
Picked101
Done022
Total11412126

Merged error: 0.0b

Counts
126 → 12

regimes146.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04311
14311

end0.0ms

sample1.8s

Algorithm
intervals
Results
778.0ms1778×body1280valid
386.0ms1384×body640valid
272.0ms3797×body80valid
131.0ms678×body320valid
56.0ms363×body160valid
11.0ms166×body80invalid

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