Details

Time bar (total: 4.0s)

sample95.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 0%

Results
32.0ms47×body1280valid
19.0ms153×body80valid
13.0ms31×body640valid
5.0ms17×body320valid
2.0ms8×body160valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0209
1439
2939
31749
42699
52889
62889

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.7b

Counts
2 → 1

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)))
16.5b
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite30.0ms

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))

series29.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
4.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
18.0ms
(/ (* (* (/ 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 (49.0ms)

IterNodesCost
0402818
12097614
25002599

prune184.0ms

Filtered
62 candidates to 88 candidates (-41.9%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New771188
Fresh000
Picked101
Done000
Total781189

Merged error: 0.1b

Counts
89 → 11

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)))

rewrite28.0ms

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

series24.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(/ (sin (* 0.5 x)) (sin x))
13.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
4.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify65.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0463970
12477779
25002764

prune196.0ms

Filtered
74 candidates to 107 candidates (-44.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1052107
Fresh4610
Picked101
Done000
Total1108118

Merged error: 0b

Counts
118 → 8

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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:
4.0ms
(/ (sin (* 0.5 x)) (sin x))
4.0ms
(/ (sin (* 0.5 x)) 3.0)
11.0ms
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

series25.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ (sin (* 0.5 x)) (sin x))
4.0ms
(/ (sin (* 0.5 x)) 3.0)
13.0ms
(* (* 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 (50.0ms)

IterNodesCost
0426934
12116775
25001753

prune180.0ms

Filtered
73 candidates to 102 candidates (-39.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1011102
Fresh167
Picked011
Done000
Total1028110

Merged error: 0b

Counts
110 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (sin x)) (cbrt (sin x)))
0.6b
(cbrt (sin x))
0.6b
(cbrt (sin x))
0.6b
(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:
7.0ms
(* (cbrt (sin x)) (cbrt (sin x)))
1.0ms
(cbrt (sin x))
1.0ms
(cbrt (sin x))
2.0ms
(cbrt (sin x))

series94.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (cbrt (sin x)) (cbrt (sin x)))
21.0ms
(cbrt (sin x))
22.0ms
(cbrt (sin x))
21.0ms
(cbrt (sin x))

simplify121.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (114.0ms)

IterNodesCost
0161512
1596460
23671410
35002404

prune120.0ms

Filtered
60 candidates to 85 candidates (-41.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh066
Picked011
Done011
Total85893

Merged error: 0b

Counts
93 → 8

regimes116.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0149
1149

end0.0ms

sample2.5s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 0%

Results
1.0s1464×body1280valid
552.0ms1262×body640valid
419.0ms4310×body80valid
184.0ms644×body320valid
66.0ms320×body160valid

Profiling

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