Details

Time bar (total: 4.3s)

sample56.0ms

Algorithm
intervals
Results
24.0ms51×body1280valid
10.0ms35×body640valid
8.0ms135×body80valid
4.0ms20×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: 16.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.3b
(* (/ 8.0 3.0) (sin (* x 0.5)))
16.4b
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite33.0ms

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:
13.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
7.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
11.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series169.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
38.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
73.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify56.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0402818
12097614
25002599

prune206.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (sin x) (sin (* 0.5 x)))
0.2b
(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))
0.3b
(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
50×times-frac
38×add-sqr-sqrt
33×add-cube-cbrt *-un-lft-identity
31×add-exp-log add-cbrt-cube
16×associate-/r*
13×cbrt-undiv div-exp associate-*l*
6×prod-exp cbrt-unprod
5×pow1 div-inv
4×associate-/l*
3×associate-*r* add-log-exp
2×frac-2neg associate-*l/ clear-num unswap-sqr
1×pow-prod-down associate-/r/ *-commutative associate-/l/
Counts
3 → 110
Calls
3 calls:
4.0ms
(/ (sin x) (sin (* 0.5 x)))
12.0ms
(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))
7.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

series151.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (sin x) (sin (* 0.5 x)))
76.0ms
(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))
36.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify69.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05401166
12701980
25001956

prune303.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
24×add-sqr-sqrt
20×times-frac
19×add-cube-cbrt *-un-lft-identity
13×associate-*l*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
5×pow1
4×associate-/r* associate-/l*
3×associate-*r* div-inv add-log-exp
2×frac-2neg associate-*l/ clear-num unswap-sqr
1×pow-prod-down associate-/r/ *-commutative
Counts
3 → 85
Calls
3 calls:
7.0ms
(* (/ (sin x) (sin (* 0.5 x))) 3.0)
9.0ms
(/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))
5.0ms
(/ (sin x) (sin (* 0.5 x)))

series171.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* (/ (sin x) (sin (* 0.5 x))) 3.0)
73.0ms
(/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))
43.0ms
(/ (sin x) (sin (* 0.5 x)))

simplify56.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0423884
12206701
25001685

prune230.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
133×add-exp-log
97×add-cbrt-cube
87×times-frac
68×add-sqr-sqrt
60×add-cube-cbrt *-un-lft-identity
59×div-exp
47×prod-exp
44×associate-*l*
38×cbrt-undiv
32×cbrt-unprod
31×sqrt-prod
16×associate-/r*
11×pow1
9×1-exp
7×associate-*l/ associate-/l*
6×div-inv
4×associate-*r* pow-prod-down add-log-exp
3×associate-/l/ unswap-sqr
2×frac-times frac-2neg associate-*r/ clear-num *-commutative
1×associate-/r/
Counts
4 → 207
Calls
4 calls:
8.0ms
(* (/ (sqrt 8.0) 3.0) (sin (* x 0.5)))
16.0ms
(/ (* (/ (sqrt 8.0) 1) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5)))) (/ (sin x) (sin (* 0.5 x))))
13.0ms
(* (/ (sqrt 8.0) 1) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))))
4.0ms
(/ (sqrt 8.0) 3.0)

series402.0ms

Counts
4 → 10
Calls
4 calls:
91.0ms
(* (/ (sqrt 8.0) 3.0) (sin (* x 0.5)))
184.0ms
(/ (* (/ (sqrt 8.0) 1) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5)))) (/ (sin x) (sin (* 0.5 x))))
127.0ms
(* (/ (sqrt 8.0) 1) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))))
0.0ms
(/ (sqrt 8.0) 3.0)

simplify47.0ms

Algorithm
egg-herbie
Counts
217 → 217
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
09882477
150011910

prune480.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159
1179
2179

end0.0ms

sample1.7s

Algorithm
intervals
Results
742.0ms1562×body1280valid
386.0ms1250×body640valid
279.0ms4291×body80valid
123.0ms590×body320valid
43.0ms307×body160valid