Details

Time bar (total: 4.3s)

sample315.0ms

Algorithm
intervals
Results
26.0ms56×body1280valid
13.0ms49×body640valid
10.0ms154×body80valid
4.0ms19×body320valid
2.0ms10×body160valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0187
1316
2396
3506
4536
5536

prune9.0ms

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: 0.2b

Counts
2 → 1

localize12.0ms

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

rewrite41.0ms

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:
7.0ms
(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
17.0ms
(/ 1.0 (sin B))
4.0ms
(/ 1.0 (tan B))
9.0ms
(* x (/ 1.0 (tan B)))

series303.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
23.0ms
(/ 1.0 (sin B))
36.0ms
(/ 1.0 (tan B))
124.0ms
(* x (/ 1.0 (tan B)))

simplify48.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0386627
11479584
25001584

prune267.0ms

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

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
0.1b
(/ 1.0 (sin B))
0.1b
(/ (* x 1.0) (tan 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:
10.0ms
(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
3.0ms
(/ 1.0 (sin B))
8.0ms
(/ (* x 1.0) (tan B))

series253.0ms

Counts
3 → 9
Calls
3 calls:
126.0ms
(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
19.0ms
(/ 1.0 (sin B))
109.0ms
(/ (* x 1.0) (tan B))

simplify38.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0316461
11175428
25001428

prune155.0ms

Filtered
74 candidates to 55 candidates (74.3%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New72274
Fresh189
Picked011
Done000
Total731184

Merged error: 0.0b

Counts
84 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
15×times-frac
7×associate-*l*
6×pow1 associate-/r* add-log-exp
5×cbrt-undiv div-exp prod-exp cbrt-unprod
4×associate-/l*
3×associate-*r* associate-*l/ div-inv
2×frac-2neg clear-num
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 89
Calls
4 calls:
7.0ms
(- (/ 1.0 (sin B)) (* (/ (* x 1.0) (sin B)) (cos B)))
3.0ms
(/ 1.0 (sin B))
5.0ms
(/ (* x 1.0) (sin B))
7.0ms
(* (/ (* x 1.0) (sin B)) (cos B))

series301.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(- (/ 1.0 (sin B)) (* (/ (* x 1.0) (sin B)) (cos B)))
19.0ms
(/ 1.0 (sin B))
54.0ms
(/ (* x 1.0) (sin B))
109.0ms
(* (/ (* x 1.0) (sin B)) (cos B))

simplify53.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0393673
11825595
25002595

prune202.0ms

Filtered
101 candidates to 73 candidates (72.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New992101
Fresh369
Picked011
Done101
Total1039112

Merged error: 0.0b

Counts
112 → 9

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×add-exp-log times-frac add-cbrt-cube
7×pow1
3×associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod associate-/l*
2×associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp associate-*l* clear-num *-commutative flip-- div-inv
Counts
2 → 48
Calls
2 calls:
5.0ms
(/ (- 1.0 (* (* x 1.0) (cos B))) (sin B))
6.0ms
(* (* x 1.0) (cos B))

series121.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(/ (- 1.0 (* (* x 1.0) (cos B))) (sin B))
45.0ms
(* (* x 1.0) (cos B))

simplify38.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0258439
11094388
25002388

prune101.0ms

Filtered
54 candidates to 40 candidates (74.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New54054
Fresh077
Picked011
Done011
Total54963

Merged error: 0.0b

Counts
63 → 9

regimes67.0ms

Accuracy

0% (0.2b 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 (0.0ms)

IterNodesCost
0116
1116

end0.0ms

sample1.8s

Algorithm
intervals
Results
751.0ms1746×body1280valid
394.0ms1419×body640valid
323.0ms4963×body80valid
139.0ms699×body320valid
45.0ms327×body160valid