Details

Time bar (total: 5.2s)

sample329.0ms

Algorithm
intervals
Results
32.0ms57×body1280valid
20.0ms51×body640valid
12.0ms163×body80valid
4.0ms18×body320valid
2.0ms12×body160valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0187
1316
2396
3506
4536
5536

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

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)))

rewrite62.0ms

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)))
6.0ms
(/ 1.0 (sin B))
6.0ms
(/ 1.0 (tan B))
30.0ms
(* x (/ 1.0 (tan B)))

series270.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(+ (- (* x (/ 1.0 (tan B)))) (/ 1.0 (sin B)))
18.0ms
(/ 1.0 (sin B))
37.0ms
(/ 1.0 (tan B))
112.0ms
(* x (/ 1.0 (tan B)))

simplify49.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0419664
11645609
25001604

prune301.0ms

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
(/ 1.0 (sin B))
0.1b
(/ (* x 1.0) (tan B))

rewrite67.0ms

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)))
5.0ms
(/ 1.0 (sin B))
11.0ms
(/ (* x 1.0) (tan B))

series220.0ms

Counts
3 → 9
Calls
3 calls:
103.0ms
(+ (- (/ (* x 1.0) (tan B))) (/ 1.0 (sin B)))
17.0ms
(/ 1.0 (sin B))
99.0ms
(/ (* x 1.0) (tan B))

simplify41.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0336465
11303419
25001414

prune188.0ms

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

rewrite62.0ms

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:
17.0ms
(+ (- (* (/ (* x 1.0) (sin B)) (cos B))) (/ 1.0 (sin B)))
5.0ms
(/ 1.0 (sin B))
10.0ms
(/ (* x 1.0) (sin B))
27.0ms
(* (/ (* x 1.0) (sin B)) (cos B))

series259.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(+ (- (* (/ (* x 1.0) (sin B)) (cos B))) (/ 1.0 (sin B)))
17.0ms
(/ 1.0 (sin B))
54.0ms
(/ (* x 1.0) (sin B))
94.0ms
(* (/ (* x 1.0) (sin B)) (cos B))

simplify57.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0422714
11971620
25001614

prune247.0ms

Pruning

7 alts after pruning (6 fresh and 1 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))

rewrite59.0ms

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:
31.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
6.0ms
(/ 1 (sin B))
8.0ms
(* x (cos B))
12.0ms
(/ (* x (cos B)) (sin B))

series218.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
12.0ms
(/ 1 (sin B))
33.0ms
(* x (cos B))
88.0ms
(/ (* x (cos B)) (sin B))

simplify47.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0309612
11342540
25002535

prune195.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes52.0ms

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
0146
1146

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.0s1765×body1280valid
500.0ms1424×body640valid
392.0ms4911×body80valid
170.0ms693×body320valid
64.0ms357×body160valid