Details

Time bar (total: 4.7s)

sample327.0ms

Algorithm
intervals
Results
29.0ms64×body1280valid
14.0ms53×body640valid
10.0ms147×body80valid
4.0ms20×body320valid
2.0ms15×body160valid

simplify15.0ms

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: 0.3b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

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))))
4.0ms
(/ 1.0 (sin B))
20.0ms
(/ 1.0 (tan B))
11.0ms
(* x (/ 1.0 (tan B)))

series307.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
22.0ms
(/ 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

prune278.0ms

Filtered
113 candidates to 88 candidates (77.9%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New10211113
Fresh000
Picked101
Done000
Total10311114

Merged error: 0.0b

Counts
114 → 11

localize15.0ms

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

rewrite22.0ms

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:
11.0ms
(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
4.0ms
(/ 1.0 (sin B))
5.0ms
(/ (* x 1.0) (tan B))

series256.0ms

Counts
3 → 9
Calls
3 calls:
126.0ms
(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
18.0ms
(/ 1.0 (sin B))
110.0ms
(/ (* x 1.0) (tan B))

simplify38.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0316461
11175428
25001428

prune158.0ms

Filtered
74 candidates to 55 candidates (74.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New72274
Fresh3710
Picked101
Done000
Total76985

Merged error: 0.0b

Counts
85 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
0.1b
(/ 1.0 (sin B))
0.2b
(/ (tan B) (* x 1.0))
0.3b
(/ 1 (/ (tan B) (* x 1.0)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
54×times-frac
47×add-sqr-sqrt
39×*-un-lft-identity
32×add-exp-log
30×add-cube-cbrt
20×add-cbrt-cube
15×div-exp
11×associate-/r*
9×associate-/l*
8×cbrt-undiv div-inv
6×add-log-exp difference-of-squares
5×pow1
4×prod-exp
3×rec-exp frac-2neg 1-exp clear-num distribute-lft-out--
2×cbrt-unprod
1×tan-quot sub-neg flip3-- pow-flip diff-log associate-/r/ frac-sub flip-- associate-/l/ inv-pow
Counts
4 → 127
Calls
4 calls:
25.0ms
(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
4.0ms
(/ 1.0 (sin B))
5.0ms
(/ (tan B) (* x 1.0))
7.0ms
(/ 1 (/ (tan B) (* x 1.0)))

series285.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
18.0ms
(/ 1.0 (sin B))
50.0ms
(/ (tan B) (* x 1.0))
89.0ms
(/ 1 (/ (tan B) (* x 1.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0527996
12281867
25001858

prune236.0ms

Filtered
139 candidates to 87 candidates (62.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1381139
Fresh268
Picked011
Done000
Total1408148

Merged error: 0.0b

Counts
148 → 8

localize16.0ms

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))

rewrite22.0ms

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:
7.0ms
(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
4.0ms
(/ 1.0 (sin B))
4.0ms
(* x (cos B))
5.0ms
(/ (* x (cos B)) (sin B))

series273.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
18.0ms
(/ 1.0 (sin B))
36.0ms
(* x (cos B))
98.0ms
(/ (* x (cos B)) (sin B))

simplify43.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0333572
11375511
25001511

prune175.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh066
Picked011
Done011
Total938101

Merged error: 0.0b

Counts
101 → 8

regimes68.0ms

Accuracy

0% (0.2b 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
0147
1147

end0.0ms

sample1.9s

Algorithm
intervals
Results
764.0ms1743×body1280valid
412.0ms1457×body640valid
336.0ms4943×body80valid
138.0ms703×body320valid
52.0ms342×body160valid