Details

Time bar (total: 5.1s)

sample77.0ms

Algorithm
intervals
Results
29.0ms51×body1280valid
18.0ms54×body640valid
12.0ms163×body80valid
4.0ms18×body320valid
2.0ms15×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0187
1316
2396
3506
4536
5536

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

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

rewrite51.0ms

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:
15.0ms
(+ (- (* x (/ 1.0 (tan B)))) (/ 1.0 (sin B)))
5.0ms
(/ 1.0 (sin B))
6.0ms
(/ 1.0 (tan B))
22.0ms
(* x (/ 1.0 (tan B)))

series283.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(+ (- (* x (/ 1.0 (tan B)))) (/ 1.0 (sin B)))
19.0ms
(/ 1.0 (sin B))
37.0ms
(/ 1.0 (tan B))
111.0ms
(* x (/ 1.0 (tan B)))

simplify48.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0419664
11645609
25001604

prune285.0ms

Pruning

7 alts after pruning (7 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))

rewrite65.0ms

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:
48.0ms
(+ (- (/ (* x 1.0) (tan B))) (/ 1.0 (sin B)))
5.0ms
(/ 1.0 (sin B))
10.0ms
(/ (* x 1.0) (tan B))

series250.0ms

Counts
3 → 9
Calls
3 calls:
120.0ms
(+ (- (/ (* x 1.0) (tan B))) (/ 1.0 (sin B)))
19.0ms
(/ 1.0 (sin B))
110.0ms
(/ (* x 1.0) (tan B))

simplify36.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0336465
11303419
25001414

prune172.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (/ 1 (/ (tan B) (* x 1.0)))) (/ 1.0 (sin B)))
0.1b
(/ 1.0 (sin B))
0.1b
(/ (tan B) (* x 1.0))
0.3b
(/ 1 (/ (tan B) (* x 1.0)))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
47×times-frac
39×*-un-lft-identity
32×add-exp-log
30×add-sqr-sqrt add-cube-cbrt
20×add-cbrt-cube
15×div-exp
11×associate-/r*
9×associate-/l*
8×cbrt-undiv div-inv add-log-exp
5×pow1
4×prod-exp distribute-lft-out
3×rec-exp distribute-rgt-neg-in frac-2neg 1-exp clear-num
2×sum-log cbrt-unprod
1×tan-quot +-commutative neg-sub0 associate-+l- pow-flip flip3-+ neg-log frac-add associate-/r/ flip-+ associate-/l/ distribute-neg-frac inv-pow
Counts
4 → 123
Calls
4 calls:
89.0ms
(+ (- (/ 1 (/ (tan B) (* x 1.0)))) (/ 1.0 (sin B)))
5.0ms
(/ 1.0 (sin B))
11.0ms
(/ (tan B) (* x 1.0))
15.0ms
(/ 1 (/ (tan B) (* x 1.0)))

series293.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(+ (- (/ 1 (/ (tan B) (* x 1.0)))) (/ 1.0 (sin B)))
19.0ms
(/ 1.0 (sin B))
58.0ms
(/ (tan B) (* x 1.0))
89.0ms
(/ 1 (/ (tan B) (* x 1.0)))

simplify55.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0531922
12284808
25002756

prune281.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt times-frac
10×add-exp-log add-cbrt-cube
6×associate-/r*
5×add-log-exp
4×associate-/l*
3×pow1 cbrt-undiv div-exp
2×frac-2neg clear-num div-inv difference-of-squares
1×tan-quot sub-neg flip3-- diff-log prod-exp associate-/r/ frac-sub flip-- cbrt-unprod distribute-lft-out--
Counts
3 → 65
Calls
3 calls:
34.0ms
(- (/ (* x 1.0) (tan B)) (/ 1.0 (sin B)))
5.0ms
(/ 1.0 (sin B))
10.0ms
(/ (* x 1.0) (tan B))

series252.0ms

Counts
3 → 9
Calls
3 calls:
122.0ms
(- (/ (* x 1.0) (tan B)) (/ 1.0 (sin B)))
19.0ms
(/ 1.0 (sin B))
111.0ms
(/ (* x 1.0) (tan B))

simplify34.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0317460
11164428
25001426

prune180.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes54.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137
1137

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.0s1734×body1280valid
496.0ms1381×body640valid
396.0ms5007×body80valid
175.0ms703×body320valid
60.0ms361×body160valid