Details

Time bar (total: 6.1s)

analyze877.0ms

Algorithm
search

sample85.0ms

Algorithm
intervals
Results
38.0ms50×body1280valid
17.0ms39×body640valid
12.0ms133×body80valid
8.0ms24×body320valid
2.0ms10×body160valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 13.5b

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)))
0.3b
(* (/ 8.0 3.0) (sin (* x 0.5)))
13.4b
(/ (* (* (/ 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×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)))
6.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
11.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series20.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
3.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
11.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify59.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0402818
12097614
25002599

prune191.0ms

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

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New741488
Fresh000
Picked101
Done000
Total751489

Merged error: 0.1b

Counts
89 → 14

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)))
0.3b
(* (/ 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))
10.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
7.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

series21.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ (sin (* 0.5 x)) (sin x))
11.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
4.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify62.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0463970
12477779
25002764

prune208.0ms

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

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1025107
Fresh5813
Picked101
Done000
Total10813121

Merged error: 0b

Counts
121 → 13

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (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)))

rewrite20.0ms

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)) 3.0)
4.0ms
(/ (sin (* 0.5 x)) (sin x))
9.0ms
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

series21.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(/ (sin (* 0.5 x)) 3.0)
6.0ms
(/ (sin (* 0.5 x)) (sin x))
11.0ms
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

simplify57.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0426934
12116775
25001753

prune192.0ms

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

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1020102
Fresh01212
Picked011
Done000
Total10213115

Merged error: 0b

Counts
115 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))) (/ (sin (* 0.5 x)) (sin x)))
0.3b
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))))
0.4b
(* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))
1.0b
(/ 8.0 (cbrt 3.0))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
313×add-exp-log
178×prod-exp
122×add-cbrt-cube
81×div-exp
76×cbrt-unprod
50×add-sqr-sqrt times-frac
42×add-cube-cbrt *-un-lft-identity
39×cbrt-undiv
30×associate-*l*
22×cbrt-prod
20×pow1
18×rec-exp 1-exp
17×associate-*r*
13×associate-*l/
10×pow-prod-down
6×frac-times associate-/r*
4×associate-*r/ div-inv add-log-exp
3×*-commutative associate-/l* unswap-sqr
1×frac-2neg clear-num
Counts
4 → 228
Calls
4 calls:
24.0ms
(* (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))) (/ (sin (* 0.5 x)) (sin x)))
14.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))))
8.0ms
(* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))
4.0ms
(/ 8.0 (cbrt 3.0))

series43.0ms

Counts
4 → 10
Calls
4 calls:
20.0ms
(* (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))) (/ (sin (* 0.5 x)) (sin x)))
14.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))))
8.0ms
(* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))
0.0ms
(/ 8.0 (cbrt 3.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
238 → 238
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010373268
150012460

prune423.0ms

Filtered
129 candidates to 238 candidates (-84.5%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New2371238
Fresh11011
Picked011
Done011
Total23813251

Merged error: 0b

Counts
251 → 13

regimes70.0ms

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

analyze804.0ms

Algorithm
search

sample2.7s

Algorithm
intervals
Results
1.1s1557×body1280valid
631.0ms4266×body80valid
545.0ms1240×body640valid
199.0ms649×body320valid
63.0ms288×body160valid

Profiling

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