Details

Time bar (total: 4.9s)

analyze112.0ms (2.3%)

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

sample29.0ms (0.6%)

Algorithm
intervals
Results
17.0ms256×body80valid

simplify30.0ms (0.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
0522228

prune11.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 2

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.2b
(* PI t)
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.5b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

rewrite37.0ms (0.8%)

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
flip3-- sqrt-div associate-*r* associate-/r/ flip--
associate-*l* pow-prod-down
cbrt-undiv frac-times div-exp add-log-exp
times-frac *-commutative associate-/l*
associate-*l/ associate-/l/ unswap-sqr
frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 94
Calls

4 calls:

16.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
10.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
5.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)

series67.0ms (1.4%)

Counts
4 → 12
Calls

4 calls:

43.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
20.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
3.0ms
(* 5.0 (* v v))
2.0ms
(* PI t)

simplify65.0ms (1.3%)

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049811908
149811908

prune278.0ms (5.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New997106
Fresh101
Picked011
Done000
Total1008108

Merged error: 0.3b

Counts
108 → 8

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.4b
(* PI (* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0)))))))
0.4b
(* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))
0.5b
(/ 1 (* (/ (* PI (* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))) (- 1.0 (* 5.0 (* v v)))) (- 1.0 (* v v))))

rewrite41.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
36×add-cbrt-cube
28×prod-exp
19×pow1 div-exp
14×cbrt-unprod
13×add-sqr-sqrt
12×associate-*r/
10×add-cube-cbrt *-un-lft-identity
associate-*l*
cbrt-undiv pow-prod-down
associate-*r*
rec-exp 1-exp associate-/r/
flip3-- sqrt-div flip-- add-log-exp
times-frac *-commutative associate-/l*
frac-times pow-flip unswap-sqr
frac-2neg associate-*l/ clear-num associate-/r* sqrt-prod div-inv inv-pow
Counts
4 → 105
Calls

4 calls:

15.0ms
(/ 1 (* (/ (* PI (* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))) (- 1.0 (* 5.0 (* v v)))) (- 1.0 (* v v))))
9.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0)))))))
8.0ms
(* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))
5.0ms
(* 5.0 (* v v))

series104.0ms (2.1%)

Counts
4 → 12
Calls

4 calls:

64.0ms
(/ 1 (* (/ (* PI (* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))) (- 1.0 (* 5.0 (* v v)))) (- 1.0 (* v v))))
19.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0)))))))
18.0ms
(* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))
3.0ms
(* 5.0 (* v v))

simplify37.0ms (0.8%)

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
053642201

prune524.0ms (10.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1161117
Fresh246
Picked011
Done011
Total1187125

Merged error: 0.0b

Counts
125 → 7

localize26.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b
(* v (* v 5.0))
0.3b
(/ (cbrt 1) (* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0)))))))
0.4b
(* (/ (cbrt 1) PI) (/ (cbrt 1) (* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))))
0.4b
(* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))

rewrite45.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
37×add-exp-log
33×times-frac
28×*-un-lft-identity associate-*l* add-cbrt-cube
27×add-cube-cbrt
20×cbrt-prod
17×associate-*r*
13×pow1 associate-*r/ prod-exp cbrt-unprod
cbrt-undiv div-exp
sqrt-div associate-/l*
pow-prod-down unswap-sqr
associate-/r/ add-log-exp
flip3-- *-commutative flip-- div-inv
frac-times frac-2neg associate-*l/ clear-num associate-/r* sqrt-prod
Counts
4 → 130
Calls

4 calls:

19.0ms
(* (/ (cbrt 1) PI) (/ (cbrt 1) (* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))))
9.0ms
(/ (cbrt 1) (* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0)))))))
8.0ms
(* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))
5.0ms
(* v (* v 5.0))

series82.0ms (1.7%)

Counts
4 → 12
Calls

4 calls:

34.0ms
(* (/ (cbrt 1) PI) (/ (cbrt 1) (* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))))
26.0ms
(/ (cbrt 1) (* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0)))))))
19.0ms
(* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))
3.0ms
(* v (* v 5.0))

simplify37.0ms (0.8%)

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
050302397

prune562.0ms (11.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1384142
Fresh224
Picked011
Done112
Total1418149

Merged error: 0b

Counts
149 → 8

localize29.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b
(* v (* v 5.0))
0.4b
(* (/ (cbrt 1) PI) (/ (sqrt (cbrt 1)) t))
0.5b
(* (* (/ (cbrt 1) PI) (/ (sqrt (cbrt 1)) t)) (/ (sqrt (cbrt 1)) (sqrt (* 2.0 (- 1.0 (* v (* v 3.0)))))))
1.0b
(/ (sqrt (cbrt 1)) (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))

rewrite75.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
148×times-frac
146×add-sqr-sqrt
103×sqrt-prod
93×*-un-lft-identity
84×add-cube-cbrt
74×associate-*r*
64×add-exp-log
63×cbrt-prod
58×add-cbrt-cube
26×associate-*l*
25×prod-exp cbrt-unprod
20×unswap-sqr
18×cbrt-undiv div-exp
16×pow1
associate-/l*
associate-*r/
pow-prod-down
frac-times associate-*l/
sqrt-div associate-/r* associate-/r/ div-inv add-log-exp
*-commutative
flip3-- flip--
sqrt-undiv frac-2neg clear-num
Counts
4 → 255
Calls

4 calls:

23.0ms
(* (* (/ (cbrt 1) PI) (/ (sqrt (cbrt 1)) t)) (/ (sqrt (cbrt 1)) (sqrt (* 2.0 (- 1.0 (* v (* v 3.0)))))))
20.0ms
(* (/ (cbrt 1) PI) (/ (sqrt (cbrt 1)) t))
9.0ms
(/ (sqrt (cbrt 1)) (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))
5.0ms
(* v (* v 5.0))

series46.0ms (0.9%)

Counts
4 → 12
Calls

4 calls:

29.0ms
(* (* (/ (cbrt 1) PI) (/ (sqrt (cbrt 1)) t)) (/ (sqrt (cbrt 1)) (sqrt (* 2.0 (- 1.0 (* v (* v 3.0)))))))
11.0ms
(/ (sqrt (cbrt 1)) (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))
3.0ms
(* (/ (cbrt 1) PI) (/ (sqrt (cbrt 1)) t))
3.0ms
(* v (* v 5.0))

simplify104.0ms (2.1%)

Algorithm
egg-herbie
Counts
267 → 267
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
049684727
149684727

prune1.6s (32%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2661267
Fresh145
Picked011
Done022
Total2678275

Merged error: 0b

Counts
275 → 8

regimes276.0ms (5.6%)

Accuracy

Total 0.4b remaining (92.6%)

Threshold costs 0.4b (92.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010837
110837

end0.0ms (0%)

sample685.0ms (13.9%)

Algorithm
intervals
Results
536.0ms8000×body80valid
1.0ms18×body80nan

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