Details

Time bar (total: 5.9s)

analyze1.1s

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
0%99.9%0.1%7
0%99.9%0.1%8
0%96.7%3.3%9
16.4%74.9%8.7%10
17.6%71.8%10.7%11
26.3%59.5%14.2%12
30.7%45.7%23.5%13
31.7%43.5%24.7%14

sample48.0ms

Algorithm
intervals
Results
21.0ms256×body80valid
11.0ms151×body80invalid

simplify448.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
0507129

prune29.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.7b

Counts
2 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))
0.3b
(/ 2.0 (* r r))
5.5b
(* r (* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))))
9.3b
(* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
65×add-exp-log add-cbrt-cube
43×pow1
40×prod-exp cbrt-unprod
28×pow-prod-down
11×associate-*r/
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
5×cbrt-undiv div-exp
4×add-log-exp
3×times-frac associate-*r* *-commutative associate-/l*
1×frac-2neg clear-num associate-/r* div-inv
Counts
4 → 99
Calls
4 calls:
11.0ms
(* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))
4.0ms
(/ 2.0 (* r r))
16.0ms
(* r (* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))))
17.0ms
(* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))

series72.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))
3.0ms
(/ 2.0 (* r r))
22.0ms
(* r (* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))))
38.0ms
(* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))

simplify78.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049771669
149771669

prune167.0ms

Filtered
58 candidates to 111 candidates (-91.4%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1029111
Fresh011
Picked101
Done000
Total10310113

Merged error: 8.0b

Counts
113 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))
0.2b
(/ (/ 2.0 r) r)
5.5b
(* r (* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))))
9.3b
(* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
65×add-exp-log add-cbrt-cube
49×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
43×pow1
39×prod-exp cbrt-unprod
28×pow-prod-down
13×associate-/l*
11×associate-*r/
9×associate-*l*
6×cbrt-undiv div-exp
5×div-inv
4×add-log-exp
3×associate-*r* associate-/r* *-commutative
1×frac-2neg clear-num associate-/l/
Counts
4 → 148
Calls
4 calls:
11.0ms
(* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))
6.0ms
(/ (/ 2.0 r) r)
16.0ms
(* r (* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))))
15.0ms
(* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))

series59.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))
3.0ms
(/ (/ 2.0 r) r)
22.0ms
(* r (* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))))
25.0ms
(* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))

simplify53.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049982239
149982239

prune219.0ms

Filtered
91 candidates to 160 candidates (-75.8%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1591160
Fresh099
Picked011
Done000
Total15911170

Merged error: 8.0b

Counts
170 → 11

localize22.0ms

Local error

Found 4 expressions with local error:

9.3b
(* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))
9.3b
(* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))
10.7b
(sqrt (* r (* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))))
10.7b
(sqrt (* r (* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
74×pow1
50×pow-prod-down
44×add-exp-log add-cbrt-cube
28×prod-exp cbrt-unprod
18×associate-*r/
12×sqrt-pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
4×add-log-exp
2×cbrt-undiv pow1/2 sqrt-div div-exp associate-*r* sqrt-prod *-commutative
Counts
4 → 86
Calls
4 calls:
17.0ms
(* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))
15.0ms
(* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))
13.0ms
(sqrt (* r (* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))))
14.0ms
(sqrt (* r (* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))))

series107.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))
30.0ms
(* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))
25.0ms
(sqrt (* r (* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))))
26.0ms
(sqrt (* r (* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))))

simplify53.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049851696
149851696

prune193.0ms

Filtered
52 candidates to 98 candidates (-88.5%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New96298
Fresh099
Picked101
Done011
Total9712109

Merged error: 8.0b

Counts
109 → 12

localize26.0ms

Local error

Found 4 expressions with local error:

9.3b
(* (* r 0.125) (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))
9.3b
(* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))
10.7b
(sqrt (* r (* (* r 0.125) (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))))
10.7b
(sqrt (* r (* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
90×pow1
62×pow-prod-down
56×add-exp-log add-cbrt-cube
36×prod-exp cbrt-unprod
16×associate-*r/
14×sqrt-pow1
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×associate-*l* add-log-exp
3×cbrt-undiv div-exp
2×pow1/2 sqrt-div associate-*r* sqrt-prod *-commutative
Counts
4 → 94
Calls
4 calls:
16.0ms
(* (* r 0.125) (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))
15.0ms
(* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))
13.0ms
(sqrt (* r (* (* r 0.125) (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))))
14.0ms
(sqrt (* r (* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))))

series102.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (* r 0.125) (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))
27.0ms
(* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))
25.0ms
(sqrt (* r (* (* r 0.125) (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))))
25.0ms
(sqrt (* r (* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))))

simplify30.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
051801807

prune151.0ms

Filtered
52 candidates to 106 candidates (-103.8%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1051106
Fresh1910
Picked011
Done011
Total10612118

Merged error: 8.0b

Counts
118 → 12

regimes522.0ms

Accuracy

0% (1.5b remaining)

Error of 8.4b against oracle of 6.9b and baseline of 8.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03029
13029

end0.0ms

analyze921.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
0%99.9%0.1%7
0%99.9%0.1%8
0%96.7%3.3%9
16.4%74.9%8.7%10
17.6%71.8%10.7%11
26.3%59.5%14.2%12
30.7%45.7%23.5%13
31.7%43.5%24.7%14

sample1.2s

Algorithm
intervals
Results
575.0ms8000×body80valid
352.0ms4902×body80invalid

Profiling

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