Details

Time bar (total: 3.9s)

sample271.0ms

Algorithm
intervals
Results
190.0ms16×body160valid
29.0ms65×body1280valid
14.0ms49×body640valid
9.0ms128×body80valid
6.0ms27×body320valid

simplify266.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (7.0ms)

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: 0.3b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
0.2b
(/ 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))
3.0ms
(/ 1.0 (tan B))
10.0ms
(* x (/ 1.0 (tan B)))

series84.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
12.0ms
(/ 1.0 (sin B))
11.0ms
(/ 1.0 (tan B))
34.0ms
(* x (/ 1.0 (tan B)))

simplify47.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0386627
11479584
25001584

prune182.0ms

Filtered
113 candidates to 88 candidates (22.1%)
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))

rewrite19.0ms

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:
9.0ms
(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
3.0ms
(/ 1.0 (sin B))
5.0ms
(/ (* x 1.0) (tan B))

series55.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
4.0ms
(/ 1.0 (sin B))
22.0ms
(/ (* x 1.0) (tan B))

simplify36.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0316461
11175428
25002428

prune103.0ms

Filtered
74 candidates to 55 candidates (25.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New74074
Fresh099
Picked011
Done000
Total741084

Merged error: 0.0b

Counts
84 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

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

series51.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
6.0ms
(* x (cos B))
4.0ms
(/ 1.0 (sin B))
17.0ms
(/ (* x (cos B)) (sin B))

simplify45.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0333572
11375511
25001511

prune116.0ms

Filtered
93 candidates to 68 candidates (26.9%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New92193
Fresh088
Picked011
Done011
Total9211103

Merged error: 0.0b

Counts
103 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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))
3.0ms
(/ 1.0 (sin B))
6.0ms
(* (/ 1.0 (sin B)) (cos B))
7.0ms
(* x (* (/ 1.0 (sin B)) (cos B)))

series35.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ 1.0 (sin B))
5.0ms
(/ 1.0 (sin B))
7.0ms
(* (/ 1.0 (sin B)) (cos B))
19.0ms
(* x (* (/ 1.0 (sin B)) (cos B)))

simplify43.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0317683
11315591
25001591

prune117.0ms

Filtered
119 candidates to 87 candidates (26.9%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1190119
Fresh088
Picked011
Done022
Total11911130

Merged error: 0.0b

Counts
130 → 11

regimes134.0ms

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 (1.0ms)

IterNodesCost
0106
1106

end0.0ms

sample2.2s

Algorithm
intervals
Results
933.0ms2137×body1280valid
473.0ms1708×body640valid
240.0ms3576×body80valid
175.0ms880×body320valid
68.0ms464×body160valid

Profiling

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