Details

Time bar (total: 5.7s)

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

sample46.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
12.0ms171×body80invalid

simplify456.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
0507129

prune14.0ms

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: 6.8b

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))))
0.5b
(/ 2.0 (* r r))
4.7b
(* r (* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))))
9.1b
(* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))

rewrite65.0ms

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:
10.0ms
(* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))
4.0ms
(/ 2.0 (* r r))
29.0ms
(* r (* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))))
16.0ms
(* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))

series69.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))
3.0ms
(/ 2.0 (* r r))
21.0ms
(* r (* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))))
31.0ms
(* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))

simplify75.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
049771669
149771669

prune173.0ms

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

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New10011111
Fresh011
Picked101
Done000
Total10112113

Merged error: 5.4b

Counts
113 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))
0.5b
(/ 2.0 (* r r))
4.7b
(* r (* (* r 0.125) (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))
9.0b
(* (* r 0.125) (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
59×pow1 prod-exp cbrt-unprod
40×pow-prod-down
9×associate-*r/
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×cbrt-undiv div-exp associate-*l*
4×add-log-exp
3×times-frac associate-*r* *-commutative associate-/l*
1×frac-2neg clear-num associate-/r* div-inv
Counts
4 → 113
Calls
4 calls:
10.0ms
(* 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))))))
16.0ms
(* (* r 0.125) (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))

series59.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))
3.0ms
(/ 2.0 (* r r))
24.0ms
(* r (* (* r 0.125) (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))
23.0ms
(* (* r 0.125) (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))

simplify68.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049941939
149941939

prune140.0ms

Filtered
56 candidates to 125 candidates (-123.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1241125
Fresh2911
Picked101
Done000
Total12710137

Merged error: 2.1b

Counts
137 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 3.0 (- (/ 2.0 (* r r)) (+ (* r (* (* r (* 0.125 w)) (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))) 4.5)))
0.2b
(* (* r (* 0.125 w)) (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))
0.5b
(/ 2.0 (* r r))
4.7b
(* r (* (* r (* 0.125 w)) (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
59×prod-exp cbrt-unprod
54×pow1
37×pow-prod-down
13×add-log-exp
12×*-un-lft-identity
8×cbrt-undiv div-exp
7×add-sqr-sqrt add-cube-cbrt
5×associate-*r/
4×associate-*l* sum-log
3×times-frac associate-/l*
2×diff-log associate-*r* *-commutative distribute-lft-out
1×+-commutative associate-+r- sub-neg associate-+r+ frac-2neg flip3-+ clear-num associate-/r* flip-+ div-inv distribute-lft-out--
Counts
4 → 113
Calls
4 calls:
19.0ms
(+ 3.0 (- (/ 2.0 (* r r)) (+ (* r (* (* r (* 0.125 w)) (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))) 4.5)))
14.0ms
(* (* r (* 0.125 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)))))

series83.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ 3.0 (- (/ 2.0 (* r r)) (+ (* r (* (* r (* 0.125 w)) (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))) 4.5)))
23.0ms
(* (* r (* 0.125 w)) (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))
3.0ms
(/ 2.0 (* r r))
25.0ms
(* r (* (* r (* 0.125 w)) (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))

simplify39.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
051132335

prune158.0ms

Filtered
59 candidates to 125 candidates (-111.9%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1214125
Fresh189
Picked011
Done000
Total12213135

Merged error: 0.0b

Counts
135 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 3.0 (- (/ 2.0 (* r r)) (+ (* (* r (* r (* 0.125 w))) (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))) 4.5)))
0.2b
(* r (* r (* 0.125 w)))
0.5b
(/ 2.0 (* r r))
3.9b
(* (* r (* r (* 0.125 w))) (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
72×add-exp-log add-cbrt-cube
45×pow1 prod-exp cbrt-unprod
30×pow-prod-down
13×add-log-exp
12×*-un-lft-identity
7×add-sqr-sqrt add-cube-cbrt
6×cbrt-undiv div-exp
4×associate-*l* sum-log
3×times-frac associate-/l*
2×diff-log associate-*r/ associate-*r* *-commutative distribute-lft-out
1×+-commutative associate-+r- sub-neg associate-+r+ frac-2neg flip3-+ clear-num associate-/r* flip-+ div-inv distribute-lft-out--
Counts
4 → 102
Calls
4 calls:
19.0ms
(+ 3.0 (- (/ 2.0 (* r r)) (+ (* (* r (* r (* 0.125 w))) (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))) 4.5)))
6.0ms
(* r (* r (* 0.125 w)))
4.0ms
(/ 2.0 (* r r))
15.0ms
(* (* r (* r (* 0.125 w))) (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))

series62.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ 3.0 (- (/ 2.0 (* r r)) (+ (* (* r (* r (* 0.125 w))) (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))) 4.5)))
4.0ms
(* r (* r (* 0.125 w)))
3.0ms
(/ 2.0 (* r r))
23.0ms
(* (* r (* r (* 0.125 w))) (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))

simplify70.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049811901
149811901

prune97.0ms

Filtered
52 candidates to 114 candidates (-119.2%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1131114
Fresh01111
Picked011
Done011
Total11314127

Merged error: 0.0b

Counts
127 → 14

regimes628.0ms

Accuracy

91.5% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 2.4b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04364
14364

end0.0ms

analyze899.0ms

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
556.0ms8000×body80valid
332.0ms4689×body80invalid

Profiling

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