Details

Time bar (total: 3.9s)

sample58.0ms

Algorithm
intervals
Results
23.0ms51×body1280valid
13.0ms40×body640valid
9.0ms137×body80valid
4.0ms20×body320valid
1.0ms8×body160valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0209
1439
2939
31749
42699
52889
62889

prune8.0ms

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: 17.1b

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)))
17.0b
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite29.0ms

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

series172.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
36.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
78.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify59.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0402818
12097614
25002599

prune215.0ms

Filtered
88 candidates to 62 candidates (70.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New761288
Fresh000
Picked101
Done000
Total771289

Merged error: 0.1b

Counts
89 → 12

localize13.0ms

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)))

rewrite26.0ms

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))
12.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
6.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

series157.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (sin (* 0.5 x)) (sin x))
78.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
41.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify66.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0463970
12477779
25002764

prune256.0ms

Filtered
107 candidates to 73 candidates (68.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1025107
Fresh8311
Picked011
Done000
Total1109119

Merged error: 0b

Counts
119 → 9

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
27×add-sqr-sqrt
25×times-frac
22×add-cube-cbrt *-un-lft-identity
13×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l*
6×associate-/r*
5×pow1
4×div-inv associate-/l*
3×add-log-exp
2×frac-2neg clear-num unswap-sqr
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 94
Calls
3 calls:
5.0ms
(/ (* 8.0 (sin (* x 0.5))) 3.0)
4.0ms
(/ (sin (* 0.5 x)) (sin x))
10.0ms
(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))

series156.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (* 8.0 (sin (* x 0.5))) 3.0)
42.0ms
(/ (sin (* 0.5 x)) (sin x))
78.0ms
(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))

simplify69.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0458994
12409812
25001788

prune234.0ms

Filtered
103 candidates to 74 candidates (71.8%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh077
Picked011
Done011
Total1039112

Merged error: 0b

Counts
112 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (sin x))
0.2b
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (sin (* 0.5 x)) (/ 1 (sin x))))
0.2b
(* (sin (* 0.5 x)) (/ 1 (sin x)))
0.4b
(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
82×add-exp-log
52×add-cbrt-cube
43×prod-exp
40×add-sqr-sqrt
30×times-frac
29×*-un-lft-identity
28×add-cube-cbrt
25×cbrt-unprod
21×pow1
17×associate-*r* associate-*l*
16×div-exp
10×pow-prod-down
9×cbrt-undiv
5×rec-exp 1-exp associate-*r/ associate-*l/ unswap-sqr
4×add-log-exp
3×associate-/r* un-div-inv *-commutative div-inv associate-/l*
2×frac-times
1×pow-flip frac-2neg clear-num inv-pow
Counts
4 → 142
Calls
4 calls:
4.0ms
(/ 1 (sin x))
12.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (sin (* 0.5 x)) (/ 1 (sin x))))
8.0ms
(* (sin (* 0.5 x)) (/ 1 (sin x)))
6.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

series177.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(/ 1 (sin x))
79.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (sin (* 0.5 x)) (/ 1 (sin x))))
46.0ms
(* (sin (* 0.5 x)) (/ 1 (sin x)))
39.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify75.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05761277
12684974
25002894

prune251.0ms

Filtered
154 candidates to 83 candidates (53.9%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1540154
Fresh066
Picked011
Done022
Total1549163

Merged error: 0b

Counts
163 → 9

regimes30.0ms

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
0159
1179
2179

end0.0ms

sample1.7s

Algorithm
intervals
Results
734.0ms1554×body1280valid
377.0ms1230×body640valid
287.0ms4313×body80valid
143.0ms625×body320valid
39.0ms278×body160valid

Profiling

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