Details

Time bar (total: 3.4s)

sample269.0ms

Algorithm
intervals
Results
209.0ms164×body80valid
22.0ms49×body1280valid
13.0ms46×body640valid
5.0ms27×body320valid
1.0ms9×body160valid

simplify16.0ms

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

localize14.0ms

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 → 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))
20.0ms
(/ 1.0 (tan B))
34.0ms
(* x (/ 1.0 (tan B)))

simplify46.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0386627
11479584
25001584

prune167.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1076113
Fresh000
Picked101
Done000
Total1086114

Merged error: 0.0b

Counts
114 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
0.1b
(/ (* x 1.0) (tan B))
0.1b
(/ 1.0 (sin B))

rewrite23.0ms

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:
12.0ms
(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
5.0ms
(/ (* x 1.0) (tan B))
4.0ms
(/ 1.0 (sin B))

series55.0ms

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

simplify34.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0316461
11175428
25002428

prune95.0ms

Filtered
55 candidates to 74 candidates (-34.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New73174
Fresh145
Picked011
Done000
Total74680

Merged error: 0.0b

Counts
80 → 6

localize12.0ms

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))

rewrite21.0ms

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))))
3.0ms
(/ 1.0 (sin B))
4.0ms
(* x (cos B))
5.0ms
(/ (* x (cos B)) (sin B))

series57.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
7.0ms
(/ 1.0 (sin B))
6.0ms
(* x (cos B))
18.0ms
(/ (* x (cos B)) (sin B))

simplify42.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0333572
11375511
25001511

prune107.0ms

Filtered
68 candidates to 93 candidates (-36.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New92193
Fresh134
Picked011
Done011
Total93699

Merged error: 0.0b

Counts
99 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (tan B) (* (sin B) x))
0.1b
(* (sin B) x)
0.2b
(* (sin B) (tan B))
10.9b
(/ (* 1.0 (- (tan B) (* (sin B) x))) (* (sin B) (tan B)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
12×add-sqr-sqrt
8×pow1 add-cube-cbrt *-un-lft-identity
6×associate-*r* associate-*l* prod-exp cbrt-unprod add-log-exp
4×cbrt-undiv associate-*r/ div-exp
2×tan-quot flip3-- pow-prod-down *-commutative flip-- associate-/l/ unswap-sqr
1×sub-neg frac-2neg times-frac diff-log clear-num associate-/r* associate-/r/ div-inv associate-/l*
Counts
4 → 73
Calls
4 calls:
4.0ms
(- (tan B) (* (sin B) x))
4.0ms
(* (sin B) x)
5.0ms
(* (sin B) (tan B))
10.0ms
(/ (* 1.0 (- (tan B) (* (sin B) x))) (* (sin B) (tan B)))

series79.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(- (tan B) (* (sin B) x))
7.0ms
(* (sin B) x)
10.0ms
(* (sin B) (tan B))
45.0ms
(/ (* 1.0 (- (tan B) (* (sin B) x))) (* (sin B) (tan B)))

simplify53.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0392624
11930516
25002515

prune75.0ms

Filtered
59 candidates to 85 candidates (-44.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New82385
Fresh123
Picked101
Done022
Total84791

Merged error: 0b

Counts
91 → 7

regimes109.0ms

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

sample2.0s

Algorithm
intervals
Results
723.0ms1630×body1280valid
404.0ms1458×body640valid
350.0ms5021×body80valid
143.0ms699×body320valid
50.0ms359×body160valid

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