Details

Time bar (total: 5.4s)

sample406.0ms

Algorithm
intervals
Results
55.0ms61×body1280valid
15.0ms43×body640valid
12.0ms150×body80valid
4.0ms15×body320valid
2.0ms13×body160valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0187
1316
2396
3506
4536
5536

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

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))
0.3b
(* x (/ 1.0 (tan B)))

rewrite56.0ms

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:
21.0ms
(+ (- (* x (/ 1.0 (tan B)))) (/ 1.0 (sin B)))
5.0ms
(/ 1.0 (sin B))
5.0ms
(/ 1.0 (tan B))
19.0ms
(* x (/ 1.0 (tan B)))

series310.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(+ (- (* x (/ 1.0 (tan B)))) (/ 1.0 (sin B)))
22.0ms
(/ 1.0 (sin B))
37.0ms
(/ 1.0 (tan B))
129.0ms
(* x (/ 1.0 (tan B)))

simplify49.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0419664
11645609
25001604

prune312.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite68.0ms

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:
50.0ms
(+ (- (/ (* x 1.0) (tan B))) (/ 1.0 (sin B)))
6.0ms
(/ 1.0 (sin B))
10.0ms
(/ (* x 1.0) (tan B))

series255.0ms

Counts
3 → 9
Calls
3 calls:
121.0ms
(+ (- (/ (* x 1.0) (tan B))) (/ 1.0 (sin B)))
20.0ms
(/ 1.0 (sin B))
115.0ms
(/ (* x 1.0) (tan B))

simplify37.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0336465
11303419
25001414

prune199.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite60.0ms

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:
28.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
9.0ms
(/ 1 (sin B))
9.0ms
(* x (cos B))
12.0ms
(/ (* x (cos B)) (sin B))

series251.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
17.0ms
(/ 1 (sin B))
38.0ms
(* x (cos B))
100.0ms
(/ (* x (cos B)) (sin B))

simplify43.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0309612
11342540
25002535

prune222.0ms

Pruning

9 alts after pruning (8 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
(* (/ 1.0 (sin B)) (cos B))
0.3b
(* x (* (/ 1.0 (sin B)) (cos B)))

rewrite64.0ms

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:
5.0ms
(/ 1.0 (sin B))
5.0ms
(/ 1.0 (sin B))
20.0ms
(* (/ 1.0 (sin B)) (cos B))
30.0ms
(* x (* (/ 1.0 (sin B)) (cos B)))

series189.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ 1.0 (sin B))
22.0ms
(/ 1.0 (sin B))
37.0ms
(* (/ 1.0 (sin B)) (cos B))
110.0ms
(* x (* (/ 1.0 (sin B)) (cos B)))

simplify40.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0317683
11315591
25001591

prune283.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes74.0ms

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
0158
1158

end0.0ms

sample2.4s

Algorithm
intervals
Results
963.0ms1692×body1280valid
519.0ms1418×body640valid
376.0ms4969×body80valid
166.0ms690×body320valid
65.0ms369×body160valid