Details

Time bar (total: 4.2s)

sample60.0ms

Algorithm
intervals
Results
24.0ms51×body1280valid
13.0ms42×body640valid
9.0ms129×body80valid
4.0ms20×body320valid
2.0ms14×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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.3b

Counts
2 → 1

localize16.0ms

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)))
11.0b
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite31.0ms

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:
9.0ms
(* (* (/ 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))

series165.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
34.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
75.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify57.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0402818
12097614
25002599

prune213.0ms

Filtered
88 candidates to 62 candidates (70.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New771188
Fresh000
Picked101
Done000
Total781189

Merged error: 0.0b

Counts
89 → 11

localize15.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (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)))

rewrite30.0ms

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))
14.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
7.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

series151.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (sin (* 0.5 x)) (sin x))
80.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
35.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify69.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0463970
12477779
25002764

prune236.0ms

Filtered
107 candidates to 73 candidates (68.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1043107
Fresh4610
Picked011
Done000
Total10810118

Merged error: 0.0b

Counts
118 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 8.0 (/ (sin (* 0.5 x)) 3.0))
0.1b
(/ (sin (* 0.5 x)) 3.0)
0.2b
(/ (sin (* 0.5 x)) (sin x))
0.2b
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
37×times-frac
35×add-cube-cbrt *-un-lft-identity
34×add-exp-log add-cbrt-cube
26×associate-*r*
12×prod-exp cbrt-unprod
11×pow1
8×cbrt-undiv div-exp
6×associate-/r* associate-/l*
4×associate-*r/ associate-*l* pow-prod-down div-inv add-log-exp
2×frac-2neg clear-num *-commutative unswap-sqr
1×frac-times associate-*l/
Counts
4 → 125
Calls
4 calls:
10.0ms
(* 8.0 (/ (sin (* 0.5 x)) 3.0))
4.0ms
(/ (sin (* 0.5 x)) 3.0)
4.0ms
(/ (sin (* 0.5 x)) (sin x))
10.0ms
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

series186.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* 8.0 (/ (sin (* 0.5 x)) 3.0))
34.0ms
(/ (sin (* 0.5 x)) 3.0)
38.0ms
(/ (sin (* 0.5 x)) (sin x))
75.0ms
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

simplify70.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
04991152
12605968
25001946

prune270.0ms

Filtered
137 candidates to 99 candidates (72.3%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1370137
Fresh088
Picked011
Done011
Total13710147

Merged error: 0.0b

Counts
147 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin x)) (cbrt (sin x)))
0.7b
(cbrt (sin x))
0.7b
(cbrt (sin x))
0.7b
(cbrt (sin x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt (sin x)) (cbrt (sin x)))
2.0ms
(cbrt (sin x))
1.0ms
(cbrt (sin x))
2.0ms
(cbrt (sin x))

series403.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(* (cbrt (sin x)) (cbrt (sin x)))
96.0ms
(cbrt (sin x))
101.0ms
(cbrt (sin x))
97.0ms
(cbrt (sin x))

simplify94.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0154453
1551401
23082369
35002363

prune231.0ms

Filtered
85 candidates to 60 candidates (70.6%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh077
Picked101
Done022
Total851095

Merged error: 0b

Counts
95 → 10

regimes42.0ms

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
0149
1149

end0.0ms

sample1.7s

Algorithm
intervals
Results
738.0ms1511×body1280valid
380.0ms1245×body640valid
298.0ms4265×body80valid
140.0ms661×body320valid
48.0ms318×body160valid

Profiling

Loading profile data...