Details

Time bar (total: 4.2s)

analyze110.0ms

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%50%50%4
0%50%50%5
12.5%37.5%50%6
18.7%31.2%50%7
28.1%21.9%50%8
32.8%17.2%50%9
38.2%11.7%50%10
41%9%50%11
43.9%6%50%12
45.4%4.6%50%13
46.9%3.1%50%14

sample25.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
0.0ms1×body80nan

simplify30.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
0522228

prune11.0ms

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: 0.2b

Counts
2 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.3b
(* PI t)
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
18×associate-*r/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
7×associate-*l* pow-prod-down
4×cbrt-undiv frac-times div-exp add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 94
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
15.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
3.0ms
(* PI t)
9.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series69.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (* v v))
42.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
2.0ms
(* PI t)
21.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify63.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
050171908

prune205.0ms

Filtered
73 candidates to 106 candidates (-45.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1006106
Fresh101
Picked011
Done000
Total1017108

Merged error: 0.0b

Counts
108 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(/ (- 1.0 (* 5.0 (* v v))) (* (/ (* PI (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* 3.0 (* (pow v 4) 3.0))))))) (sqrt (+ 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
0.4b
(* PI (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* 3.0 (* (pow v 4) 3.0)))))))
0.5b
(* t (sqrt (* 2.0 (- (* 1.0 1.0) (* 3.0 (* (pow v 4) 3.0))))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log add-cbrt-cube
16×pow1
14×prod-exp cbrt-unprod
13×add-sqr-sqrt
12×associate-*r/
10×add-cube-cbrt *-un-lft-identity
9×associate-*l*
8×cbrt-undiv div-exp
7×pow-prod-down
6×associate-*r*
5×flip3-- associate-/r/ flip--
4×sqrt-div add-log-exp
3×times-frac *-commutative associate-/l*
2×frac-times associate-/l/ unswap-sqr
1×frac-2neg div-sub associate-*l/ clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 95
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
21.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (/ (* PI (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* 3.0 (* (pow v 4) 3.0))))))) (sqrt (+ 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
11.0ms
(* PI (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* 3.0 (* (pow v 4) 3.0)))))))
10.0ms
(* t (sqrt (* 2.0 (- (* 1.0 1.0) (* 3.0 (* (pow v 4) 3.0))))))

series92.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (* v v))
48.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (/ (* PI (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* 3.0 (* (pow v 4) 3.0))))))) (sqrt (+ 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
21.0ms
(* PI (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* 3.0 (* (pow v 4) 3.0)))))))
19.0ms
(* t (sqrt (* 2.0 (- (* 1.0 1.0) (* 3.0 (* (pow v 4) 3.0))))))

simplify44.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
058072647

prune274.0ms

Filtered
76 candidates to 107 candidates (-40.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1052107
Fresh145
Picked101
Done011
Total1077114

Merged error: 0.0b

Counts
114 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (cbrt (- 1.0 (* v (* v 5.0)))) (* PI t))
0.3b
(* PI t)
0.5b
(* (/ (cbrt (- 1.0 (* v (* v 5.0)))) (* PI t)) (/ (cbrt (- 1.0 (* v (* v 5.0)))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
1.0b
(/ (cbrt (- 1.0 (* v (* v 5.0)))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
62×times-frac
55×add-sqr-sqrt
45×add-cube-cbrt *-un-lft-identity
37×cbrt-prod
34×add-exp-log
33×associate-*r*
24×add-cbrt-cube
13×associate-*l* sqrt-prod
12×associate-/l*
10×cbrt-undiv div-exp prod-exp cbrt-unprod
8×pow1
5×associate-*r/ associate-/r*
4×cbrt-div flip3-- sqrt-div associate-/r/ flip-- div-inv associate-/l/ add-log-exp unswap-sqr
2×frac-2neg pow-prod-down clear-num *-commutative
1×frac-times associate-*l/
Counts
4 → 164
Calls
4 calls:
6.0ms
(/ (cbrt (- 1.0 (* v (* v 5.0)))) (* PI t))
3.0ms
(* PI t)
25.0ms
(* (/ (cbrt (- 1.0 (* v (* v 5.0)))) (* PI t)) (/ (cbrt (- 1.0 (* v (* v 5.0)))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
10.0ms
(/ (cbrt (- 1.0 (* v (* v 5.0)))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series153.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ (cbrt (- 1.0 (* v (* v 5.0)))) (* PI t))
2.0ms
(* PI t)
77.0ms
(* (/ (cbrt (- 1.0 (* v (* v 5.0)))) (* PI t)) (/ (cbrt (- 1.0 (* v (* v 5.0)))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
35.0ms
(/ (cbrt (- 1.0 (* v (* v 5.0)))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify59.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
049885086
149885086

prune821.0ms

Filtered
150 candidates to 176 candidates (-17.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1742176
Fresh235
Picked101
Done011
Total1776183

Merged error: 0b

Counts
183 → 6

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* v (* v 5.0))
0.3b
(* PI t)
0.5b
(/ (/ (cbrt (- 1.0 (* v (* v 5.0)))) (sqrt (* 2.0 (- 1.0 (* v (* v 3.0)))))) (* PI t))
1.0b
(/ (cbrt (- 1.0 (* v (* v 5.0)))) (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
102×times-frac
56×add-sqr-sqrt
54×add-cube-cbrt *-un-lft-identity
39×cbrt-prod
36×associate-/l*
25×add-exp-log
22×add-cbrt-cube
19×sqrt-prod
11×pow1
7×cbrt-undiv div-exp
6×sqrt-div associate-*r/ associate-*l* prod-exp associate-/r/ cbrt-unprod
5×associate-/r*
4×flip3-- associate-*r* pow-prod-down flip-- div-inv add-log-exp
3×associate-/l/
2×cbrt-div frac-2neg clear-num *-commutative
1×unswap-sqr
Counts
4 → 166
Calls
4 calls:
5.0ms
(* v (* v 5.0))
3.0ms
(* PI t)
15.0ms
(/ (/ (cbrt (- 1.0 (* v (* v 5.0)))) (sqrt (* 2.0 (- 1.0 (* v (* v 3.0)))))) (* PI t))
10.0ms
(/ (cbrt (- 1.0 (* v (* v 5.0)))) (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))

series122.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* v (* v 5.0))
2.0ms
(* PI t)
77.0ms
(/ (/ (cbrt (- 1.0 (* v (* v 5.0)))) (sqrt (* 2.0 (- 1.0 (* v (* v 3.0)))))) (* PI t))
40.0ms
(/ (cbrt (- 1.0 (* v (* v 5.0)))) (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))

simplify80.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049754793
149754793

prune785.0ms

Filtered
146 candidates to 178 candidates (-21.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1771178
Fresh134
Picked011
Done011
Total1786184

Merged error: 0b

Counts
184 → 6

regimes313.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010647
110647

end0.0ms

sample665.0ms

Algorithm
intervals
Results
530.0ms8000×body80valid
1.0ms12×body80nan

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