Details

Time bar (total: 5.2s)

sample76.0ms

Algorithm
intervals
Results
32.0ms55×body1280valid
13.0ms38×body640valid
12.0ms152×body80valid
7.0ms27×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

Filtered
1 candidates to 1 candidates (100.0%)
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)))
0.1b
(/ 1.0 (tan B))
0.1b
(/ 1.0 (sin B))
0.3b
(* x (/ 1.0 (tan B)))

rewrite25.0ms

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:
112.0ms
(+ (- (* x (/ 1.0 (tan B)))) (/ 1.0 (sin B)))
36.0ms
(/ 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

prune313.0ms

Filtered
115 candidates to 90 candidates (78.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1.0 (sin B))
0.1b
(/ 1.0 (sin B))
0.2b
(* (* x (/ 1.0 (sin B))) (cos B))
0.3b
(* x (/ 1.0 (sin B)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
29×add-cube-cbrt *-un-lft-identity
28×times-frac
22×add-exp-log add-cbrt-cube
16×associate-*r*
11×pow1
7×prod-exp cbrt-unprod
6×associate-/r* associate-/l*
4×cbrt-undiv div-exp associate-*l* pow-prod-down add-log-exp
3×div-inv
2×frac-2neg associate-*r/ clear-num *-commutative unswap-sqr
1×associate-*l/
Counts
4 → 107
Calls
4 calls:
2.0ms
(/ 1.0 (sin B))
2.0ms
(/ 1.0 (sin B))
13.0ms
(* (* x (/ 1.0 (sin B))) (cos B))
8.0ms
(* x (/ 1.0 (sin B)))

series201.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ 1.0 (sin B))
23.0ms
(/ 1.0 (sin B))
102.0ms
(* (* x (/ 1.0 (sin B))) (cos B))
58.0ms
(* x (/ 1.0 (sin B)))

simplify46.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0315645
11562560
25001560

prune302.0ms

Filtered
119 candidates to 84 candidates (70.6%)
Pruning

9 alts after pruning (9 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
(/ (* x 1.0) (sin B))
0.1b
(/ 1.0 (sin B))
0.2b
(* (/ (* x 1.0) (sin B)) (cos B))

rewrite31.0ms

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))
2.0ms
(/ 1.0 (sin B))
13.0ms
(* (/ (* x 1.0) (sin B)) (cos B))

series283.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(+ (- (* (/ (* x 1.0) (sin B)) (cos B))) (/ 1.0 (sin B)))
58.0ms
(/ (* x 1.0) (sin B))
18.0ms
(/ 1.0 (sin B))
103.0ms
(* (/ (* x 1.0) (sin B)) (cos B))

simplify57.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0422714
11971620
25001614

prune266.0ms

Filtered
102 candidates to 74 candidates (72.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1.0 (sin B))
0.2b
(/ (sin B) (* x 1.0))
0.2b
(* (/ 1 (/ (sin B) (* x 1.0))) (cos B))
0.3b
(/ 1 (/ (sin B) (* x 1.0)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
77×times-frac
64×add-exp-log
52×add-sqr-sqrt
46×*-un-lft-identity
45×add-cube-cbrt
34×add-cbrt-cube
27×div-exp
26×associate-*l*
17×prod-exp
13×cbrt-undiv
11×associate-/r* div-inv
9×associate-/l*
7×pow1 cbrt-unprod
6×rec-exp 1-exp
4×add-log-exp
3×frac-2neg associate-*r* clear-num unswap-sqr
2×associate-/r/
1×pow-flip pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 160
Calls
4 calls:
2.0ms
(/ 1.0 (sin B))
7.0ms
(/ (sin B) (* x 1.0))
24.0ms
(* (/ 1 (/ (sin B) (* x 1.0))) (cos B))
7.0ms
(/ 1 (/ (sin B) (* x 1.0)))

series190.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ 1.0 (sin B))
38.0ms
(/ (sin B) (* x 1.0))
84.0ms
(* (/ 1 (/ (sin B) (* x 1.0))) (cos B))
48.0ms
(/ 1 (/ (sin B) (* x 1.0)))

simplify63.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05861140
12698963
25001905

prune366.0ms

Filtered
172 candidates to 107 candidates (62.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes79.0ms

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
02210
12610
22610

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.0s1686×body1280valid
524.0ms1496×body640valid
410.0ms4890×body80valid
187.0ms727×body320valid
66.0ms379×body160valid