Details

Time bar (total: 4.2s)

sample52.0ms

Algorithm
intervals
Results
18.0ms38×body1280valid
9.0ms31×body640valid
9.0ms149×body80valid
5.0ms26×body320valid
2.0ms12×body160valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0209
1439
2939
31749
42699
52889
62889

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.3b
(* (/ 8.0 3.0) (sin (* x 0.5)))
14.0b
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite57.0ms

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:
25.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
10.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
19.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series184.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
39.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
84.0ms
(/ (* (* (/ 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 (49.0ms)

IterNodesCost
0402818
12097614
25002599

prune218.0ms

Filtered
88 candidates to 62 candidates (70.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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

rewrite39.0ms

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:
4.0ms
(/ (sin (* 0.5 x)) (sin x))
21.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
10.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

series166.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ (sin (* 0.5 x)) (sin x))
82.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
40.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify65.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0463970
12477779
25002764

prune269.0ms

Filtered
107 candidates to 74 candidates (69.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize13.0ms

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)))

rewrite26.0ms

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:
3.0ms
(/ (sin (* 0.5 x)) 3.0)
3.0ms
(/ (sin (* 0.5 x)) (sin x))
16.0ms
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

series159.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ (sin (* 0.5 x)) 3.0)
39.0ms
(/ (sin (* 0.5 x)) (sin x))
79.0ms
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

simplify58.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0426934
12116775
25001753

prune239.0ms

Filtered
102 candidates to 73 candidates (71.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (sin (* 0.5 x)) 3.0)
0.1b
(/ 1 (/ (sin x) (sin (* 0.5 x))))
0.2b
(/ (sin x) (sin (* 0.5 x)))
0.2b
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ 1 (/ (sin x) (sin (* 0.5 x)))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
159×times-frac
97×add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity
49×add-cbrt-cube
44×associate-*r*
37×div-exp
35×prod-exp
19×associate-/r*
17×cbrt-undiv
15×cbrt-unprod
11×div-inv
10×pow1
9×associate-/l*
8×rec-exp 1-exp
4×add-log-exp
3×frac-2neg associate-*r/ pow-prod-down clear-num
2×associate-/r/
1×frac-times pow-flip associate-*l* associate-*l/ un-div-inv *-commutative inv-pow
Counts
4 → 219
Calls
4 calls:
3.0ms
(/ (sin (* 0.5 x)) 3.0)
6.0ms
(/ 1 (/ (sin x) (sin (* 0.5 x))))
3.0ms
(/ (sin x) (sin (* 0.5 x)))
27.0ms
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ 1 (/ (sin x) (sin (* 0.5 x)))))

series205.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ (sin (* 0.5 x)) 3.0)
44.0ms
(/ 1 (/ (sin x) (sin (* 0.5 x))))
41.0ms
(/ (sin x) (sin (* 0.5 x)))
82.0ms
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ 1 (/ (sin x) (sin (* 0.5 x)))))

simplify44.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
09022417
150012080

prune490.0ms

Filtered
231 candidates to 147 candidates (63.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes34.0ms

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
720.0ms1495×body1280valid
414.0ms1321×body640valid
267.0ms4240×body80valid
134.0ms633×body320valid
59.0ms311×body160valid