Details

Time bar (total: 4.2s)

sample61.0ms

Algorithm
intervals
Results
23.0ms50×body1280valid
16.0ms42×body640valid
8.0ms136×body80valid
4.0ms18×body320valid
1.0ms10×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: 16.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.4b
(* (/ 8.0 3.0) (sin (* x 0.5)))
16.0b
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite53.0ms

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:
20.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
10.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
20.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series175.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
43.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
79.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify55.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0402818
12097614
25002599

prune222.0ms

Filtered
88 candidates to 62 candidates (70.5%)
Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

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)))

rewrite43.0ms

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

series346.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (sin (* 0.5 x)) (sin x))
272.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
36.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify68.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0463970
12477779
25002764

prune260.0ms

Filtered
107 candidates to 73 candidates (68.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite27.0ms

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)
4.0ms
(/ (sin (* 0.5 x)) (sin x))
16.0ms
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

series153.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ (sin (* 0.5 x)) 3.0)
40.0ms
(/ (sin (* 0.5 x)) (sin x))
77.0ms
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

simplify56.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0426934
12116775
25001753

prune238.0ms

Filtered
102 candidates to 72 candidates (70.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
39×exp-prod
37×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
36×times-frac
28×log-pow
17×associate-*r*
15×add-exp-log add-cbrt-cube
11×pow1
9×log-prod
5×prod-exp cbrt-unprod add-log-exp
4×div-inv
3×distribute-rgt-in distribute-lft-in pow-prod-down associate-/r* associate-/l*
2×cbrt-undiv div-exp
1×frac-2neg associate-*r/ rem-log-exp associate-*l* associate-*l/ clear-num *-commutative rem-exp-log
Counts
4 → 114
Calls
4 calls:
4.0ms
(/ (sin (* 0.5 x)) (sin x))
6.0ms
(log (exp (/ (sin (* 0.5 x)) (sin x))))
5.0ms
(exp (/ (sin (* 0.5 x)) (sin x)))
28.0ms
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (log (exp (/ (sin (* 0.5 x)) (sin x)))))

series229.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ (sin (* 0.5 x)) (sin x))
37.0ms
(log (exp (/ (sin (* 0.5 x)) (sin x))))
74.0ms
(exp (/ (sin (* 0.5 x)) (sin x)))
77.0ms
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (log (exp (/ (sin (* 0.5 x)) (sin x)))))

simplify56.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04371183
119721024
250011000

prune333.0ms

Filtered
126 candidates to 94 candidates (74.6%)
Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes32.0ms

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

sample1.6s

Algorithm
intervals
Results
686.0ms1449×body1280valid
384.0ms1258×body640valid
261.0ms4348×body80valid
130.0ms595×body320valid
53.0ms350×body160valid