Details

Time bar (total: 4.7s)

sample53.0ms

Algorithm
intervals
Results
18.0ms39×body1280valid
11.0ms39×body640valid
9.0ms147×body80valid
3.0ms16×body320valid
2.0ms15×body160valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0209
1439
2939
31749
42699
52889
62889

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.4b
(* (/ 8.0 3.0) (sin (* x 0.5)))
13.4b
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity associate-*l*
13×times-frac
12×prod-exp cbrt-unprod
10×pow1
7×cbrt-undiv div-exp
6×associate-*r*
5×associate-*l/
4×pow-prod-down
3×associate-/r* add-log-exp
2×*-commutative div-inv unswap-sqr
1×frac-2neg clear-num associate-/l/ associate-/l*
Counts
3 → 79
Calls
3 calls:
66.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
28.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
65.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series171.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
36.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
79.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify58.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0402818
12097614
25002599

prune212.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin (* 0.5 x)) (sin x))
0.2b
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
0.4b
(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-sqr-sqrt add-cbrt-cube
28×times-frac
26×add-cube-cbrt *-un-lft-identity
16×associate-*r*
14×associate-*l*
12×prod-exp cbrt-unprod
10×pow1
7×cbrt-undiv div-exp
4×pow-prod-down associate-*l/
3×associate-/r* div-inv associate-/l* add-log-exp
2×*-commutative unswap-sqr
1×frac-times frac-2neg associate-*r/ clear-num
Counts
3 → 98
Calls
3 calls:
13.0ms
(/ (sin (* 0.5 x)) (sin x))
62.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
28.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

series150.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ (sin (* 0.5 x)) (sin x))
72.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
38.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify64.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0463970
12477779
25001764

prune255.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin (* 0.5 x)) 3.0)
0.1b
(/ (sin (* 0.5 x)) (sin x))
0.2b
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
27×times-frac
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-*r*
10×prod-exp cbrt-unprod
8×pow1
7×cbrt-undiv div-exp
6×associate-/r* associate-/l*
3×associate-*r/ pow-prod-down div-inv add-log-exp
2×frac-2neg clear-num
1×frac-times associate-*l* associate-*l/ *-commutative
Counts
3 → 93
Calls
3 calls:
14.0ms
(/ (sin (* 0.5 x)) 3.0)
13.0ms
(/ (sin (* 0.5 x)) (sin x))
37.0ms
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

series150.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ (sin (* 0.5 x)) 3.0)
42.0ms
(/ (sin (* 0.5 x)) (sin x))
73.0ms
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

simplify60.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0426934
12116775
25001753

prune229.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 8.0 (* (/ 1 (sqrt 3.0)) (/ (sin (* 0.5 x)) (sqrt 3.0)))) (/ (sin (* 0.5 x)) (sin x)))
0.3b
(* (/ 1 (sqrt 3.0)) (/ (sin (* 0.5 x)) (sqrt 3.0)))
0.4b
(/ (sin (* 0.5 x)) (sqrt 3.0))
1.0b
(/ 1 (sqrt 3.0))

rewrite267.0ms

Algorithm
rewrite-expression-head
Rules
128×add-exp-log
113×add-sqr-sqrt
103×times-frac
76×add-cbrt-cube
73×*-un-lft-identity
67×add-cube-cbrt
62×prod-exp
53×sqrt-prod
37×div-exp
35×associate-*r*
34×cbrt-unprod
23×associate-*l*
20×cbrt-undiv
17×pow1
15×unswap-sqr
12×associate-/r*
10×associate-*r/
7×rec-exp 1-exp pow-prod-down
6×frac-times associate-*l/ associate-/l*
5×div-inv
4×add-log-exp
3×pow-flip
2×frac-2neg clear-num *-commutative
1×sqrt-pow1 pow1/2 inv-pow
Counts
4 → 231
Calls
4 calls:
192.0ms
(* (* 8.0 (* (/ 1 (sqrt 3.0)) (/ (sin (* 0.5 x)) (sqrt 3.0)))) (/ (sin (* 0.5 x)) (sin x)))
41.0ms
(* (/ 1 (sqrt 3.0)) (/ (sin (* 0.5 x)) (sqrt 3.0)))
13.0ms
(/ (sin (* 0.5 x)) (sqrt 3.0))
9.0ms
(/ 1 (sqrt 3.0))

series411.0ms

Counts
4 → 10
Calls
4 calls:
228.0ms
(* (* 8.0 (* (/ 1 (sqrt 3.0)) (/ (sin (* 0.5 x)) (sqrt 3.0)))) (/ (sin (* 0.5 x)) (sin x)))
108.0ms
(* (/ 1 (sqrt 3.0)) (/ (sin (* 0.5 x)) (sqrt 3.0)))
75.0ms
(/ (sin (* 0.5 x)) (sqrt 3.0))
0.0ms
(/ 1 (sqrt 3.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
241 → 241
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
09612656
150022132

prune428.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes58.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0149
1149

end0.0ms

sample1.7s

Algorithm
intervals
Results
717.0ms1502×body1280valid
367.0ms1246×body640valid
275.0ms4305×body80valid
129.0ms636×body320valid
43.0ms311×body160valid