Details

Time bar (total: 5.5s)

analyze1.2s

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

sample72.0ms

Algorithm
intervals
Results
24.0ms52×body1280valid
14.0ms49×body640valid
10.0ms114×body80valid
6.0ms29×body320valid
3.0ms12×body160valid
0.0ms6×body80invalid

simplify34.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
038317
138317

prune20.0ms

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

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))
0.1b
(/ 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 → 100
Calls
4 calls:
7.0ms
(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
3.0ms
(/ 1.0 (sin B))
4.0ms
(/ 1.0 (tan B))
9.0ms
(* x (/ 1.0 (tan B)))

series151.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
10.0ms
(/ 1.0 (sin B))
23.0ms
(/ 1.0 (tan B))
63.0ms
(* x (/ 1.0 (tan B)))

simplify73.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
050601566

prune296.0ms

Filtered
87 candidates to 112 candidates (-28.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1048112
Fresh000
Picked101
Done000
Total1058113

Merged error: 0.0b

Counts
113 → 8

localize10.0ms

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

rewrite33.0ms

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 → 80
Calls
4 calls:
15.0ms
(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
5.0ms
(/ 1.0 (sin B))
4.0ms
(* x (cos B))
5.0ms
(/ (* x (cos B)) (sin B))

series83.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
5.0ms
(/ 1.0 (sin B))
7.0ms
(* x (cos B))
27.0ms
(/ (* x (cos B)) (sin B))

simplify112.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
050051356

prune215.0ms

Filtered
69 candidates to 92 candidates (-33.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New91192
Fresh167
Picked101
Done000
Total937100

Merged error: 0.0b

Counts
100 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
15×add-sqr-sqrt
13×add-cube-cbrt
12×times-frac
6×add-exp-log add-cbrt-cube
4×pow1 distribute-rgt-out-- associate-/l*
3×associate-*r* associate-*l* associate-/r*
2×associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv unswap-sqr
Counts
2 → 52
Calls
2 calls:
4.0ms
(* x (cos B))
5.0ms
(/ (- 1.0 (* (* x (cos B)) 1.0)) (sin B))

series27.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (cos B))
20.0ms
(/ (- 1.0 (* (* x (cos B)) 1.0)) (sin B))

simplify97.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
049941092
149941092

prune140.0ms

Filtered
46 candidates to 58 candidates (-26.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New56258
Fresh156
Picked011
Done000
Total57865

Merged error: 0.0b

Counts
65 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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-*l*
11×pow1
7×prod-exp cbrt-unprod
6×associate-/r* associate-/l*
4×cbrt-undiv div-exp associate-*r* pow-prod-down add-log-exp
3×div-inv
2×frac-2neg associate-*l/ clear-num *-commutative unswap-sqr
1×associate-*r/
Counts
4 → 107
Calls
4 calls:
3.0ms
(/ 1.0 (sin B))
4.0ms
(/ 1.0 (sin B))
9.0ms
(* (/ 1.0 (sin B)) (cos B))
7.0ms
(* x (* (/ 1.0 (sin B)) (cos B)))

series37.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ 1.0 (sin B))
5.0ms
(/ 1.0 (sin B))
8.0ms
(* (/ 1.0 (sin B)) (cos B))
20.0ms
(* x (* (/ 1.0 (sin B)) (cos B)))

simplify117.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
052551569

prune193.0ms

Filtered
85 candidates to 119 candidates (-40.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1190119
Fresh066
Picked011
Done011
Total1198127

Merged error: 0.0b

Counts
127 → 8

regimes192.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05417
15417

end0.0ms

sample2.3s

Algorithm
intervals
Results
867.0ms1697×body1280valid
532.0ms1451×body640valid
380.0ms3781×body80valid
219.0ms715×body320valid
75.0ms356×body160valid
17.0ms176×body80invalid
0.0ms1×body1280invalid

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