Details

Time bar (total: 6.5s)

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
18.0ms256×body80valid
14.0ms166×body80invalid

simplify431.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
0507129

prune23.0ms

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: 10.8b

Counts
2 → 2

localize22.0ms

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))
7.8b
(* r (* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))))
12.3b
(* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))

rewrite52.0ms

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))
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))))))

series69.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))
3.0ms
(/ 2.0 (* r r))
21.0ms
(* r (* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))))
36.0ms
(* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))

simplify76.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
049771669
149771669

prune169.0ms

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

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New10110111
Fresh011
Picked101
Done000
Total10211113

Merged error: 9.1b

Counts
113 → 11

localize19.0ms

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)
7.8b
(* r (* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))))
12.3b
(* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))

rewrite53.0ms

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:
10.0ms
(* 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)))))))
14.0ms
(* 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)
21.0ms
(* r (* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))))
26.0ms
(* r (* 0.125 (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))))

simplify51.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049982239
149982239

prune227.0ms

Filtered
92 candidates to 160 candidates (-73.9%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1591160
Fresh01010
Picked011
Done000
Total15912171

Merged error: 9.1b

Counts
171 → 12

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt w)
0.6b
(cbrt w)
7.8b
(* r (* r (* 0.125 (* (* (cbrt w) (cbrt w)) (* w (* (/ (- 3.0 (* 2.0 v)) (- 1.0 v)) (cbrt w)))))))
12.3b
(* r (* 0.125 (* (* (cbrt w) (cbrt w)) (* w (* (/ (- 3.0 (* 2.0 v)) (- 1.0 v)) (cbrt w))))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
122×add-exp-log
98×add-cbrt-cube
93×prod-exp cbrt-unprod
90×pow1
69×pow-prod-down
9×associate-*r/
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod associate-*l*
4×cbrt-undiv div-exp add-log-exp
2×pow1/3 associate-*r* associate-*l/ *-commutative
Counts
4 → 107
Calls
4 calls:
1.0ms
(cbrt w)
2.0ms
(cbrt w)
27.0ms
(* r (* r (* 0.125 (* (* (cbrt w) (cbrt w)) (* w (* (/ (- 3.0 (* 2.0 v)) (- 1.0 v)) (cbrt w)))))))
24.0ms
(* r (* 0.125 (* (* (cbrt w) (cbrt w)) (* w (* (/ (- 3.0 (* 2.0 v)) (- 1.0 v)) (cbrt w))))))

series101.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt w)
23.0ms
(cbrt w)
25.0ms
(* r (* r (* 0.125 (* (* (cbrt w) (cbrt w)) (* w (* (/ (- 3.0 (* 2.0 v)) (- 1.0 v)) (cbrt w)))))))
28.0ms
(* r (* 0.125 (* (* (cbrt w) (cbrt w)) (* w (* (/ (- 3.0 (* 2.0 v)) (- 1.0 v)) (cbrt w))))))

simplify52.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
053631835

prune142.0ms

Filtered
54 candidates to 119 candidates (-120.4%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1172119
Fresh1910
Picked011
Done011
Total11813131

Merged error: 7.0b

Counts
131 → 13

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt r)
4.4b
(* (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))) (cbrt r))
5.4b
(* (* (cbrt r) (cbrt r)) (* r (* 0.125 (* (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))) (cbrt r)))))
10.4b
(* r (* 0.125 (* (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))) (cbrt r))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
122×add-exp-log
93×pow1
92×add-cbrt-cube
90×prod-exp cbrt-unprod
69×pow-prod-down
11×associate-*r/
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r*
6×cbrt-prod
5×associate-*l*
4×cbrt-undiv div-exp add-log-exp
3×associate-*l/ *-commutative
1×pow1/3
Counts
4 → 119
Calls
4 calls:
1.0ms
(cbrt r)
13.0ms
(* (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))) (cbrt r))
25.0ms
(* (* (cbrt r) (cbrt r)) (* r (* 0.125 (* (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))) (cbrt r)))))
17.0ms
(* r (* 0.125 (* (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))) (cbrt r))))

series126.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt r)
32.0ms
(* (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))) (cbrt r))
24.0ms
(* (* (cbrt r) (cbrt r)) (* r (* 0.125 (* (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))) (cbrt r)))))
48.0ms
(* r (* 0.125 (* (* w (* w (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))) (cbrt r))))

simplify41.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
052962726

prune131.0ms

Filtered
63 candidates to 131 candidates (-107.9%)
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New1283131
Fresh01010
Picked101
Done022
Total12915144

Merged error: 5.5b

Counts
144 → 15

regimes682.0ms

Accuracy

53.2% (1.3b remaining)

Error of 4.8b against oracle of 3.5b and baseline of 6.2b

bsearch574.0ms

Steps
ItersRangePoint
7
1.0486731854170139e-60
2.6212440816232963e-59
1.0599308933428764e-60
8
-3.2849134753647247e-65
-3.837842696777002e-68
-4.610439283106684e-68

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05976
15976

end0.0ms

analyze881.0ms

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
550.0ms8000×body80valid
342.0ms4952×body80invalid

Profiling

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