Details

Time bar (total: 4.8s)

sample84.0ms

Algorithm
intervals
Results
35.0ms63×body1280valid
19.0ms56×body640valid
11.0ms141×body80valid
5.0ms21×body320valid
2.0ms12×body160valid

simplify9.0ms

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

rewrite30.0ms

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)))

series273.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(+ (- (* x (/ 1.0 (tan B)))) (/ 1.0 (sin B)))
34.0ms
(/ 1.0 (tan B))
18.0ms
(/ 1.0 (sin B))
108.0ms
(* x (/ 1.0 (tan B)))

simplify47.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0419664
11645609
25001604

prune307.0ms

Pruning

11 alts after pruning (11 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)))
0.2b
(/ 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))

series249.0ms

Counts
3 → 9
Calls
3 calls:
123.0ms
(+ (- (/ (* x 1.0) (tan B))) (/ 1.0 (sin B)))
21.0ms
(/ 1.0 (sin B))
106.0ms
(/ (* x 1.0) (tan B))

simplify35.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0336465
11303419
25001414

prune194.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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
(* (/ (* x 1.0) (sin B)) (cos B))
0.2b
(/ 1.0 (sin B))

rewrite28.0ms

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:
9.0ms
(+ (- (* (/ (* x 1.0) (sin B)) (cos B))) (/ 1.0 (sin B)))
3.0ms
(/ (* x 1.0) (sin B))
10.0ms
(* (/ (* x 1.0) (sin B)) (cos B))
2.0ms
(/ 1.0 (sin B))

series276.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(+ (- (* (/ (* x 1.0) (sin B)) (cos B))) (/ 1.0 (sin B)))
53.0ms
(/ (* x 1.0) (sin B))
103.0ms
(* (/ (* x 1.0) (sin B)) (cos B))
20.0ms
(/ 1.0 (sin B))

simplify58.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0422714
11971620
25002614

prune254.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
0.1b
(* x (cos B))
0.2b
(/ 1 (sin B))
0.2b
(/ (* x (cos B)) (sin B))

rewrite30.0ms

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:
15.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
6.0ms
(* x (cos B))
3.0ms
(/ 1 (sin B))
4.0ms
(/ (* x (cos B)) (sin B))

series231.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
35.0ms
(* x (cos B))
13.0ms
(/ 1 (sin B))
93.0ms
(/ (* x (cos B)) (sin B))

simplify44.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0309612
11342540
25002535

prune196.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes65.0ms

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

sample2.3s

Algorithm
intervals
Results
1.0s1731×body1280valid
523.0ms1488×body640valid
389.0ms4824×body80valid
164.0ms709×body320valid
59.0ms361×body160valid