Details

Time bar (total: 5.1s)

sample82.0ms

Algorithm
intervals
Results
32.0ms55×body1280valid
18.0ms50×body640valid
11.0ms138×body80valid
7.0ms28×body320valid
2.0ms14×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0187
1316
2396
3506
4536
5536

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

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

rewrite31.0ms

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:
14.0ms
(+ (- (* x (/ 1.0 (tan B)))) (/ 1.0 (sin B)))
2.0ms
(/ 1.0 (sin B))
2.0ms
(/ 1.0 (tan B))
9.0ms
(* x (/ 1.0 (tan B)))

series283.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(+ (- (* x (/ 1.0 (tan B)))) (/ 1.0 (sin B)))
18.0ms
(/ 1.0 (sin B))
35.0ms
(/ 1.0 (tan B))
112.0ms
(* x (/ 1.0 (tan B)))

simplify47.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0419664
11645609
25001604

prune326.0ms

Filtered
115 candidates to 90 candidates (78.3%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
13×add-sqr-sqrt add-cube-cbrt
12×times-frac
10×add-exp-log add-cbrt-cube
7×add-log-exp
6×associate-/r*
4×associate-/l*
3×pow1 cbrt-undiv div-exp
2×frac-2neg clear-num sum-log div-inv distribute-lft-out
1×tan-quot +-commutative neg-sub0 associate-+l- distribute-rgt-neg-in flip3-+ neg-log frac-add prod-exp associate-/r/ cbrt-unprod flip-+ distribute-neg-frac
Counts
3 → 65
Calls
3 calls:
28.0ms
(+ (- (/ (* x 1.0) (tan B))) (/ 1.0 (sin B)))
2.0ms
(/ 1.0 (sin B))
4.0ms
(/ (* x 1.0) (tan B))

series250.0ms

Counts
3 → 9
Calls
3 calls:
116.0ms
(+ (- (/ (* x 1.0) (tan B))) (/ 1.0 (sin B)))
19.0ms
(/ 1.0 (sin B))
115.0ms
(/ (* x 1.0) (tan B))

simplify36.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0336465
11303419
25001414

prune216.0ms

Filtered
74 candidates to 56 candidates (75.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
19×add-sqr-sqrt *-un-lft-identity
17×add-cube-cbrt
15×times-frac
8×add-log-exp
7×associate-*l*
6×pow1 associate-/r*
5×cbrt-undiv div-exp prod-exp cbrt-unprod
4×associate-/l*
3×associate-*r* div-inv
2×frac-2neg associate-*l/ clear-num sum-log
1×+-commutative neg-sub0 associate-+l- flip3-+ pow-prod-down neg-log frac-add *-commutative flip-+ distribute-neg-frac distribute-lft-out unswap-sqr
Counts
4 → 90
Calls
4 calls:
10.0ms
(+ (- (* (/ (* x 1.0) (sin B)) (cos B))) (/ 1.0 (sin B)))
3.0ms
(/ (* x 1.0) (sin B))
2.0ms
(/ 1.0 (sin B))
11.0ms
(* (/ (* x 1.0) (sin B)) (cos B))

series297.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(+ (- (* (/ (* x 1.0) (sin B)) (cos B))) (/ 1.0 (sin B)))
55.0ms
(/ (* x 1.0) (sin B))
24.0ms
(/ 1.0 (sin B))
107.0ms
(* (/ (* x 1.0) (sin B)) (cos B))

simplify56.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0422714
11971620
25001614

prune270.0ms

Filtered
102 candidates to 73 candidates (71.6%)
Pruning

10 alts after pruning (10 fresh and 0 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
(* (/ 1.0 (sin B)) (cos B))
0.2b
(* x (* (/ 1.0 (sin B)) (cos B)))

rewrite32.0ms

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-*l*
11×pow1
7×prod-exp cbrt-unprod
6×associate-/r* associate-/l*
4×cbrt-undiv div-exp associate-*r* pow-prod-down add-log-exp
3×div-inv
2×frac-2neg associate-*l/ clear-num *-commutative unswap-sqr
1×associate-*r/
Counts
4 → 107
Calls
4 calls:
2.0ms
(/ 1.0 (sin B))
2.0ms
(/ 1.0 (sin B))
9.0ms
(* (/ 1.0 (sin B)) (cos B))
15.0ms
(* x (* (/ 1.0 (sin B)) (cos B)))

series184.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ 1.0 (sin B))
23.0ms
(/ 1.0 (sin B))
36.0ms
(* (/ 1.0 (sin B)) (cos B))
107.0ms
(* x (* (/ 1.0 (sin B)) (cos B)))

simplify41.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0317683
11315591
25001591

prune296.0ms

Filtered
119 candidates to 87 candidates (73.1%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes78.0ms

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
0179
1259
2279
3279

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.0s1702×body1280valid
528.0ms1452×body640valid
412.0ms4981×body80valid
184.0ms688×body320valid
68.0ms360×body160valid