Details

Time bar (total: 6.6s)

sample105.0ms

Algorithm
intervals
Results
44.0ms63×body1280valid
23.0ms51×body640valid
15.0ms142×body80valid
8.0ms23×body320valid
2.0ms10×body160valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0187
1316
2396
3506
4536
5536

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

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 (tan B))
2.0ms
(/ 1.0 (sin B))
9.0ms
(* x (/ 1.0 (tan B)))

series74.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ (- (* x (/ 1.0 (tan B)))) (/ 1.0 (sin B)))
13.0ms
(/ 1.0 (tan B))
5.0ms
(/ 1.0 (sin B))
25.0ms
(* x (/ 1.0 (tan B)))

simplify48.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0419664
11645609
25001604

prune802.0ms

Pruning

9 alts after pruning (9 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
(/ (* x 1.0) (tan B))
0.2b
(/ 1.0 (sin B))

rewrite37.0ms

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:
29.0ms
(+ (- (/ (* x 1.0) (tan B))) (/ 1.0 (sin B)))
4.0ms
(/ (* x 1.0) (tan B))
2.0ms
(/ 1.0 (sin B))

series58.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ (- (/ (* x 1.0) (tan B))) (/ 1.0 (sin B)))
25.0ms
(/ (* x 1.0) (tan B))
5.0ms
(/ 1.0 (sin B))

simplify35.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0336465
11303419
25001414

prune505.0ms

Pruning

8 alts after pruning (8 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)))
0.2b
(/ (* x 1.0) (sin B))
0.2b
(/ 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))

series59.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (- (* (/ (* x 1.0) (sin B)) (cos B))) (/ 1.0 (sin B)))
11.0ms
(/ (* x 1.0) (sin B))
5.0ms
(/ 1.0 (sin B))
18.0ms
(* (/ (* x 1.0) (sin B)) (cos B))

simplify55.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0422714
11971620
25001614

prune703.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
21×add-sqr-sqrt add-cube-cbrt
18×times-frac
17×add-exp-log add-cbrt-cube
9×pow1
8×add-log-exp
6×associate-/r* associate-/l*
5×prod-exp cbrt-unprod
4×associate-*r/
3×cbrt-undiv div-exp associate-*l* pow-prod-down
2×frac-2neg clear-num sum-log div-inv
1×+-commutative neg-sub0 associate-+l- flip3-+ associate-*r* neg-log frac-add *-commutative flip-+ distribute-neg-frac distribute-lft-out
Counts
4 → 90
Calls
4 calls:
10.0ms
(+ (- (* x (* 1.0 (/ (cos B) (sin B))))) (/ 1.0 (sin B)))
2.0ms
(/ 1.0 (sin B))
5.0ms
(/ (cos B) (sin B))
11.0ms
(* x (* 1.0 (/ (cos B) (sin B))))

series52.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (- (* x (* 1.0 (/ (cos B) (sin B))))) (/ 1.0 (sin B)))
5.0ms
(/ 1.0 (sin B))
6.0ms
(/ (cos B) (sin B))
18.0ms
(* x (* 1.0 (/ (cos B) (sin B))))

simplify48.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0410735
11582648
25001642

prune697.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes177.0ms

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
0189
1229
2289
3289

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.3s1775×body1280valid
681.0ms1444×body640valid
520.0ms4766×body80valid
244.0ms748×body320valid
91.0ms367×body160valid