Details

Time bar (total: 6.0s)

sample331.0ms

Algorithm
intervals
Results
41.0ms68×body1280valid
13.0ms163×body80valid
13.0ms36×body640valid
4.0ms18×body320valid
2.0ms12×body160valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0187
1316
2396
3506
4536
5536

prune8.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
30×*-un-lft-identity
28×add-cube-cbrt times-frac
14×associate-*r*
13×add-exp-log add-cbrt-cube
8×add-log-exp
6×pow1 associate-/r* associate-/l*
3×cbrt-undiv div-exp associate-*l* div-inv
2×tan-quot frac-2neg associate-*r/ prod-exp clear-num sum-log associate-/r/ cbrt-unprod unswap-sqr
1×+-commutative neg-sub0 associate-+l- flip3-+ pow-prod-down neg-log frac-add *-commutative flip-+ distribute-neg-frac distribute-lft-out
Counts
4 → 103
Calls
4 calls:
9.0ms
(+ (- (* x (/ 1.0 (tan B)))) (/ 1.0 (sin B)))
2.0ms
(/ 1.0 (sin B))
2.0ms
(/ 1.0 (tan B))
11.0ms
(* x (/ 1.0 (tan B)))

series294.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(+ (- (* x (/ 1.0 (tan B)))) (/ 1.0 (sin B)))
18.0ms
(/ 1.0 (sin B))
38.0ms
(/ 1.0 (tan B))
124.0ms
(* x (/ 1.0 (tan B)))

simplify49.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0419664
11645609
25001604

prune300.0ms

Filtered
115 candidates to 90 candidates (78.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
23×*-un-lft-identity
16×add-cube-cbrt
15×add-exp-log times-frac
13×add-cbrt-cube
7×pow1 div-inv
6×associate-/r* add-log-exp
4×div-exp associate-/l*
3×cbrt-undiv distribute-rgt-out-- associate-*r* associate-*l* difference-of-squares
2×frac-2neg prod-exp clear-num cbrt-unprod distribute-lft-out--
1×sub-neg rec-exp flip3-- pow-flip diff-log 1-exp pow-prod-down *-commutative frac-sub flip-- inv-pow sub-div unswap-sqr
Counts
4 → 92
Calls
4 calls:
15.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
2.0ms
(/ 1 (sin B))
3.0ms
(* x (cos B))
4.0ms
(/ (* x (cos B)) (sin B))

series239.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
13.0ms
(/ 1 (sin B))
40.0ms
(* x (cos B))
94.0ms
(/ (* x (cos B)) (sin B))

simplify41.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0309612
11342540
25002535

prune214.0ms

Filtered
104 candidates to 65 candidates (62.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1.0 (sin B))
0.1b
(/ 1.0 (sin B))
0.2b
(* (* x (/ 1.0 (sin B))) (cos B))
0.3b
(* x (/ 1.0 (sin B)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
29×add-cube-cbrt *-un-lft-identity
28×times-frac
22×add-exp-log add-cbrt-cube
16×associate-*r*
11×pow1
7×prod-exp cbrt-unprod
6×associate-/r* associate-/l*
4×cbrt-undiv div-exp associate-*l* pow-prod-down add-log-exp
3×div-inv
2×frac-2neg associate-*r/ clear-num *-commutative unswap-sqr
1×associate-*l/
Counts
4 → 107
Calls
4 calls:
2.0ms
(/ 1.0 (sin B))
2.0ms
(/ 1.0 (sin B))
16.0ms
(* (* x (/ 1.0 (sin B))) (cos B))
8.0ms
(* x (/ 1.0 (sin B)))

series196.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ 1.0 (sin B))
23.0ms
(/ 1.0 (sin B))
102.0ms
(* (* x (/ 1.0 (sin B))) (cos B))
54.0ms
(* x (/ 1.0 (sin B)))

simplify46.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0315645
11562560
25001560

prune281.0ms

Filtered
119 candidates to 84 candidates (70.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ 1.0 (tan B))) (cbrt (/ 1.0 (tan B))))
0.5b
(cbrt (/ 1.0 (tan B)))
0.5b
(cbrt (/ 1.0 (tan B)))
0.5b
(cbrt (/ 1.0 (tan B)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
110×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
17×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×tan-quot cbrt-div associate-/r/ div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 150
Calls
4 calls:
21.0ms
(* (cbrt (/ 1.0 (tan B))) (cbrt (/ 1.0 (tan B))))
2.0ms
(cbrt (/ 1.0 (tan B)))
2.0ms
(cbrt (/ 1.0 (tan B)))
2.0ms
(cbrt (/ 1.0 (tan B)))

series707.0ms

Counts
4 → 12
Calls
4 calls:
215.0ms
(* (cbrt (/ 1.0 (tan B))) (cbrt (/ 1.0 (tan B))))
166.0ms
(cbrt (/ 1.0 (tan B)))
163.0ms
(cbrt (/ 1.0 (tan B)))
163.0ms
(cbrt (/ 1.0 (tan B)))

simplify48.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03201480
111651424
250011354

prune556.0ms

Filtered
162 candidates to 128 candidates (79.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes58.0ms

Accuracy

0% (0.1b 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
0158
1158

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.1s1806×body1280valid
486.0ms1375×body640valid
415.0ms4947×body80valid
183.0ms713×body320valid
50.0ms294×body160valid