Details

Time bar (total: 4.0s)

sample59.0ms

Algorithm
intervals
Results
24.0ms51×body1280valid
12.0ms42×body640valid
9.0ms129×body80valid
4.0ms20×body320valid
2.0ms14×body160valid

simplify17.0ms

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

localize15.0ms

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))

rewrite28.0ms

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×expm1-log1p-u associate-/r* log1p-expm1-u add-log-exp
2×*-commutative div-inv unswap-sqr
1×frac-2neg clear-num associate-/l/ associate-/l*
Counts
3 → 85
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)))
10.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series169.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
36.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
77.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify57.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0412862
12127656
25001637

prune229.0ms

Filtered
94 candidates to 68 candidates (72.3%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New831194
Fresh000
Picked101
Done000
Total841195

Merged error: 0.0b

Counts
95 → 11

localize14.0ms

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)))

rewrite25.0ms

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×expm1-log1p-u associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp
2×*-commutative unswap-sqr
1×frac-times frac-2neg associate-*r/ clear-num
Counts
3 → 104
Calls
3 calls:
4.0ms
(/ (sin (* 0.5 x)) (sin x))
11.0ms
(* (* (/ 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:
41.0ms
(/ (sin (* 0.5 x)) (sin x))
75.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
35.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify70.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
04741006
12505814
25001799

prune266.0ms

Filtered
113 candidates to 79 candidates (69.9%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1112113
Fresh1910
Picked011
Done000
Total11212124

Merged error: 0.0b

Counts
124 → 12

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)))

rewrite29.0ms

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×expm1-log1p-u associate-*r/ associate-*l* pow-prod-down log1p-expm1-u div-inv add-log-exp
2×frac-2neg clear-num *-commutative unswap-sqr
1×frac-times associate-*l/
Counts
4 → 133
Calls
4 calls:
7.0ms
(* 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)))

series189.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* 8.0 (/ (sin (* 0.5 x)) 3.0))
35.0ms
(/ (sin (* 0.5 x)) 3.0)
40.0ms
(/ (sin (* 0.5 x)) (sin x))
74.0ms
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

simplify71.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05131196
126431010
25001988

prune304.0ms

Filtered
145 candidates to 107 candidates (73.8%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1441145
Fresh1910
Picked101
Done011
Total14611157

Merged error: 0.0b

Counts
157 → 11

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (* 8.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 3.0)
0.3b
(pow (sin (* 0.5 x)) 2)
11.0b
(/ (pow (sin (* 0.5 x)) 2) (sin x))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
27×times-frac
25×add-exp-log
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×unpow-prod-down
14×add-cbrt-cube
11×div-exp
9×associate-/l*
6×associate-/r*
5×cbrt-undiv unpow2 sqr-pow
4×pow1 prod-exp
3×expm1-log1p-u pow-to-exp pow-unpow pow-exp log1p-expm1-u add-log-exp
2×frac-2neg clear-num cbrt-unprod div-inv
1×pow-pow associate-*r/ associate-/l/
Counts
3 → 99
Calls
3 calls:
9.0ms
(/ (* 8.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 3.0)
3.0ms
(pow (sin (* 0.5 x)) 2)
6.0ms
(/ (pow (sin (* 0.5 x)) 2) (sin x))

series174.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(/ (* 8.0 (/ (pow (sin (* 0.5 x)) 2) (sin x))) 3.0)
35.0ms
(pow (sin (* 0.5 x)) 2)
62.0ms
(/ (pow (sin (* 0.5 x)) 2) (sin x))

simplify57.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0404889
11664773
25001770

prune235.0ms

Filtered
108 candidates to 71 candidates (65.7%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1071108
Fresh189
Picked011
Done011
Total10811119

Merged error: 0.0b

Counts
119 → 11

regimes92.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159
1179
2179

end0.0ms

sample1.7s

Algorithm
intervals
Results
723.0ms1511×body1280valid
371.0ms1245×body640valid
296.0ms4265×body80valid
142.0ms661×body320valid
46.0ms318×body160valid

Profiling

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