Details

Time bar (total: 5.5s)

sample394.0ms

Algorithm
intervals
Results
37.0ms42×body640valid
29.0ms51×body1280valid
13.0ms153×body80valid
5.0ms22×body320valid
2.0ms15×body160valid

simplify13.0ms

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)))

rewrite63.0ms

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:
22.0ms
(+ (- (* x (/ 1.0 (tan B)))) (/ 1.0 (sin B)))
6.0ms
(/ 1.0 (sin B))
6.0ms
(/ 1.0 (tan B))
24.0ms
(* x (/ 1.0 (tan B)))

series304.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(+ (- (* x (/ 1.0 (tan B)))) (/ 1.0 (sin B)))
22.0ms
(/ 1.0 (sin B))
38.0ms
(/ 1.0 (tan B))
126.0ms
(* x (/ 1.0 (tan B)))

simplify50.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0419664
11645609
25001604

prune296.0ms

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))

rewrite73.0ms

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:
52.0ms
(+ (- (/ (* x 1.0) (tan B))) (/ 1.0 (sin B)))
6.0ms
(/ 1.0 (sin B))
13.0ms
(/ (* x 1.0) (tan B))

series252.0ms

Counts
3 → 9
Calls
3 calls:
119.0ms
(+ (- (/ (* x 1.0) (tan B))) (/ 1.0 (sin B)))
19.0ms
(/ 1.0 (sin B))
114.0ms
(/ (* x 1.0) (tan B))

simplify37.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0336465
11303419
25001414

prune182.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt *-un-lft-identity
16×add-cube-cbrt
13×add-exp-log add-cbrt-cube
12×times-frac
8×add-log-exp
6×pow1 associate-/r*
4×associate-/l*
3×cbrt-undiv div-exp associate-*r* associate-*l* div-inv
2×frac-2neg prod-exp clear-num sum-log cbrt-unprod distribute-lft-out
1×+-commutative neg-sub0 associate-+l- distribute-rgt-neg-in flip3-+ associate-*r/ pow-prod-down neg-log frac-add *-commutative flip-+ distribute-neg-frac unswap-sqr
Counts
4 → 82
Calls
4 calls:
16.0ms
(+ (- (* 1.0 (/ (* x (cos B)) (sin B)))) (/ 1.0 (sin B)))
6.0ms
(/ 1.0 (sin B))
9.0ms
(* x (cos B))
13.0ms
(/ (* x (cos B)) (sin B))

series268.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(+ (- (* 1.0 (/ (* x (cos B)) (sin B)))) (/ 1.0 (sin B)))
19.0ms
(/ 1.0 (sin B))
37.0ms
(* x (cos B))
101.0ms
(/ (* x (cos B)) (sin B))

simplify46.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0359603
11463536
25002530

prune233.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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))
0.2b
(/ (tan B) (* x 1.0))
0.3b
(/ 1 (/ (tan B) (* x 1.0)))

rewrite130.0ms

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:
95.0ms
(+ (- (/ 1 (/ (tan B) (* x 1.0)))) (/ 1.0 (sin B)))
6.0ms
(/ 1.0 (sin B))
10.0ms
(/ (tan B) (* x 1.0))
16.0ms
(/ 1 (/ (tan B) (* x 1.0)))

series298.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(+ (- (/ 1 (/ (tan B) (* x 1.0)))) (/ 1.0 (sin B)))
24.0ms
(/ 1.0 (sin B))
53.0ms
(/ (tan B) (* x 1.0))
91.0ms
(/ 1 (/ (tan B) (* x 1.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0531922
12284808
25002756

prune264.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes56.0ms

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

sample2.4s

Algorithm
intervals
Results
976.0ms1726×body1280valid
520.0ms1451×body640valid
400.0ms4890×body80valid
168.0ms712×body320valid
61.0ms377×body160valid