Details

Time bar (total: 4.3s)

sample340.0ms

Algorithm
intervals
Results
23.0ms51×body1280valid
12.0ms48×body640valid
9.0ms152×body80valid
3.0ms17×body320valid
2.0ms17×body160valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0187
1316
2396
3506
4536
5536

prune29.0ms

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

localize15.0ms

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

rewrite29.0ms

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))))
3.0ms
(/ 1.0 (sin B))
4.0ms
(/ 1.0 (tan B))
11.0ms
(* x (/ 1.0 (tan B)))

series290.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
19.0ms
(/ 1.0 (sin B))
36.0ms
(/ 1.0 (tan B))
118.0ms
(* x (/ 1.0 (tan B)))

simplify47.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0386627
11479584
25001584

prune254.0ms

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

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))
0.2b
(/ (* 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))))
4.0ms
(* x (cos B))
3.0ms
(/ 1.0 (sin B))
5.0ms
(/ (* x (cos B)) (sin B))

series255.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
37.0ms
(* x (cos B))
18.0ms
(/ 1.0 (sin B))
92.0ms
(/ (* x (cos B)) (sin B))

simplify44.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0333572
11375511
25001511

prune189.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New91293
Fresh167
Picked101
Done000
Total938101

Merged error: 0.0b

Counts
101 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 60
Calls
3 calls:
3.0ms
(- 1.0 (* 1.0 (* x (cos B))))
4.0ms
(* x (cos B))
5.0ms
(/ (- 1.0 (* 1.0 (* x (cos B)))) (sin B))

series204.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- 1.0 (* 1.0 (* x (cos B))))
34.0ms
(* x (cos B))
77.0ms
(/ (- 1.0 (* 1.0 (* x (cos B)))) (sin B))

simplify151.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0263516
1933466
24859464
35001464

prune137.0ms

Filtered
69 candidates to 50 candidates (72.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New68169
Fresh257
Picked011
Done000
Total70777

Merged error: 0.0b

Counts
77 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
23×*-un-lft-identity
22×add-cube-cbrt
20×times-frac
19×add-exp-log
16×associate-*r*
13×add-cbrt-cube
9×pow1
6×associate-*l* add-log-exp
5×prod-exp
4×div-exp unswap-sqr
3×flip3-- associate-/r* flip-- cbrt-unprod associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ clear-num un-div-inv inv-pow
Counts
4 → 101
Calls
4 calls:
3.0ms
(- 1.0 (* 1.0 (* x (cos B))))
9.0ms
(* (- 1.0 (* 1.0 (* x (cos B)))) (/ 1 (sin B)))
4.0ms
(* x (cos B))
4.0ms
(/ 1 (sin B))

series172.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- 1.0 (* 1.0 (* x (cos B))))
77.0ms
(* (- 1.0 (* 1.0 (* x (cos B)))) (/ 1 (sin B)))
35.0ms
(* x (cos B))
16.0ms
(/ 1 (sin B))

simplify52.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0364747
11573649
25001622

prune169.0ms

Filtered
113 candidates to 68 candidates (60.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1121113
Fresh235
Picked011
Done011
Total1146120

Merged error: 0.0b

Counts
120 → 6

regimes51.0ms

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
0116
1116

end0.0ms

sample1.8s

Algorithm
intervals
Results
744.0ms1756×body1280valid
372.0ms1413×body640valid
302.0ms4870×body80valid
130.0ms717×body320valid
46.0ms354×body160valid

Profiling

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