Details

Time bar (total: 4.0s)

sample69.0ms

Algorithm
intervals
Results
27.0ms65×body1280valid
13.0ms146×body80valid
13.0ms43×body640valid
4.0ms20×body320valid
2.0ms12×body160valid

simplify10.0ms

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: 0.3b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

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))))
4.0ms
(/ 1.0 (tan B))
3.0ms
(/ 1.0 (sin B))
8.0ms
(* x (/ 1.0 (tan B)))

series282.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
33.0ms
(/ 1.0 (tan B))
21.0ms
(/ 1.0 (sin B))
110.0ms
(* x (/ 1.0 (tan B)))

simplify46.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0386627
11479584
25001584

prune265.0ms

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)))
0.2b
(/ 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))

series255.0ms

Counts
3 → 9
Calls
3 calls:
120.0ms
(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
27.0ms
(/ 1.0 (sin B))
108.0ms
(/ (* x 1.0) (tan B))

simplify36.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0316461
11175428
25002428

prune155.0ms

Filtered
74 candidates to 55 candidates (74.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New74074
Fresh099
Picked011
Done000
Total741084

Merged error: 0.0b

Counts
84 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
0.2b
(* x (cos B))
0.2b
(/ 1.0 (sin 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))))
4.0ms
(* x (cos B))
3.0ms
(/ 1.0 (sin B))
5.0ms
(/ (* x (cos B)) (sin B))

series260.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
34.0ms
(* x (cos B))
18.0ms
(/ 1.0 (sin B))
92.0ms
(/ (* x (cos B)) (sin B))

simplify42.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0333572
11375511
25001511

prune179.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New91293
Fresh358
Picked101
Done011
Total958103

Merged error: 0.0b

Counts
103 → 8

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
4×pow1
3×associate-*r* associate-*l* associate-/r* associate-/l*
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 → 48
Calls
2 calls:
4.0ms
(* x (cos B))
5.0ms
(/ (- 1.0 (* 1.0 (* x (cos B)))) (sin B))

series110.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* x (cos B))
76.0ms
(/ (- 1.0 (* 1.0 (* x (cos B)))) (sin B))

simplify91.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0228414
1798374
23416373
35001373

prune100.0ms

Filtered
54 candidates to 40 candidates (74.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New53154
Fresh066
Picked011
Done011
Total53962

Merged error: 0.0b

Counts
62 → 9

regimes62.0ms

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
790.0ms1804×body1280valid
407.0ms1476×body640valid
329.0ms4875×body80valid
130.0ms654×body320valid
45.0ms329×body160valid

Profiling

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