Details

Time bar (total: 4.1s)

sample311.0ms

Algorithm
intervals
Results
26.0ms61×body1280valid
14.0ms54×body640valid
8.0ms146×body80valid
4.0ms23×body320valid
1.0ms12×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))
0.2b
(* 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:
6.0ms
(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
4.0ms
(/ 1.0 (sin B))
17.0ms
(/ 1.0 (tan B))
9.0ms
(* x (/ 1.0 (tan B)))

series297.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
21.0ms
(/ 1.0 (sin B))
35.0ms
(/ 1.0 (tan B))
122.0ms
(* x (/ 1.0 (tan B)))

simplify47.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0386627
11479584
25001584

prune266.0ms

Filtered
113 candidates to 88 candidates (77.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1058113
Fresh000
Picked101
Done000
Total1068114

Merged error: 0.0b

Counts
114 → 8

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))

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))

series249.0ms

Counts
3 → 9
Calls
3 calls:
123.0ms
(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
18.0ms
(/ 1.0 (sin B))
108.0ms
(/ (* x 1.0) (tan B))

simplify35.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0316461
11175428
25001428

prune147.0ms

Filtered
74 candidates to 55 candidates (74.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New74074
Fresh077
Picked011
Done000
Total74882

Merged error: 0.0b

Counts
82 → 8

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))

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

series264.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
18.0ms
(/ 1.0 (sin B))
40.0ms
(* x (cos B))
94.0ms
(/ (* x (cos B)) (sin B))

simplify42.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0333572
11375511
25001511

prune187.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New91293
Fresh156
Picked101
Done101
Total947101

Merged error: 0.0b

Counts
101 → 7

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))

series118.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* x (cos B))
78.0ms
(/ (- 1.0 (* 1.0 (* x (cos B)))) (sin B))

simplify93.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0228414
1798374
23430373
35001373

prune101.0ms

Filtered
54 candidates to 40 candidates (74.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New54054
Fresh066
Picked011
Done000
Total54761

Merged error: 0.0b

Counts
61 → 7

regimes61.0ms

Accuracy

0% (0.2b 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
0116
1116

end0.0ms

sample1.7s

Algorithm
intervals
Results
681.0ms1690×body1280valid
353.0ms1401×body640valid
283.0ms4956×body80valid
142.0ms742×body320valid
45.0ms366×body160valid