Details

Time bar (total: 5.2s)

sample69.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 47.04159%

Guaranteed chance to sample good point: 0%

Results
20.0ms256×body80valid
1.0ms14×body80nan

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04414
116514
282614
3386714
4500214

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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:
5.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
14.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
8.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series66.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
2.0ms
(* PI t)
38.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
22.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify108.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07721158
143501002
250031002

prune195.0ms

Filtered
72 candidates to 106 candidates (-47.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New997106
Fresh000
Picked101
Done000
Total1007107

Merged error: 0.1b

Counts
107 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
0.4b
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.5b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log associate-*r/ add-cbrt-cube
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity sqrt-div
9×flip3-- associate-*l* flip--
8×associate-/r/
7×pow-prod-down
6×associate-*r*
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 → 96
Calls
4 calls:
5.0ms
(* 5.0 (* v v))
16.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
8.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
7.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series80.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
40.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
19.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
17.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify105.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07971300
142701138
250011138

prune212.0ms

Filtered
77 candidates to 108 candidates (-40.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1044108
Fresh156
Picked011
Done000
Total10510115

Merged error: 0.1b

Counts
115 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
368×associate-*r/
228×cbrt-div sqrt-div
168×frac-times
142×flip3-- flip--
84×associate-*l/
80×associate-/r/
69×add-exp-log
47×add-cbrt-cube
41×prod-exp cbrt-unprod
36×pow1
22×pow-prod-down
12×add-sqr-sqrt
11×associate-*r*
10×add-cube-cbrt *-un-lft-identity
7×cbrt-undiv div-exp
5×associate-*l*
4×cbrt-prod add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-/l/
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv unswap-sqr
Counts
4 → 219
Calls
4 calls:
3.0ms
(* PI t)
16.0ms
(* (* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
30.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
11.0ms
(* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))

series111.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI t)
21.0ms
(* (* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
38.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
49.0ms
(* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))

simplify86.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
017547047
150016344

prune1.1s

Filtered
169 candidates to 231 candidates (-36.7%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New2265231
Fresh358
Picked101
Done011
Total23011241

Merged error: 0.0b

Counts
241 → 11

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI t)
0.2b
(/ (cbrt (- 1.0 (* 5.0 (* v v)))) (* PI t))
0.4b
(* (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (* PI t)) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (pow (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) 3)))
1.0b
(/ (cbrt (- 1.0 (* 5.0 (* v v)))) (pow (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) 3))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
264×times-frac
246×cbrt-prod
199×add-sqr-sqrt
161×add-cube-cbrt *-un-lft-identity
129×associate-*r*
95×unpow-prod-down cube-prod
58×add-exp-log
26×sqrt-prod
24×add-cbrt-cube
22×div-exp
21×associate-/r*
18×prod-exp
15×sqr-pow
14×unswap-sqr
13×cube-mult unpow3 associate-*l*
12×associate-/l*
10×cbrt-undiv cbrt-unprod
8×pow1 cbrt-div
5×associate-*r/
4×cube-div pow-to-exp flip3-- sqrt-div pow-exp associate-/r/ flip-- div-inv associate-/l/ add-log-exp
2×frac-2neg pow-prod-down clear-num *-commutative
1×frac-times associate-*l/
Counts
4 → 390
Calls
4 calls:
3.0ms
(* PI t)
6.0ms
(/ (cbrt (- 1.0 (* 5.0 (* v v)))) (* PI t))
46.0ms
(* (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (* PI t)) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (pow (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) 3)))
11.0ms
(/ (cbrt (- 1.0 (* 5.0 (* v v)))) (pow (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) 3))

series149.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI t)
37.0ms
(/ (cbrt (- 1.0 (* 5.0 (* v v)))) (* PI t))
77.0ms
(* (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (* PI t)) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (pow (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) 3)))
33.0ms
(/ (cbrt (- 1.0 (* 5.0 (* v v)))) (pow (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) 3))

simplify109.0ms

Algorithm
egg-herbie
Counts
402 → 402
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
017818339
150018089

prune1.3s

Filtered
200 candidates to 402 candidates (-101.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3984402
Fresh819
Picked101
Done011
Total4076413

Merged error: 0b

Counts
413 → 6

regimes289.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03225
13225

end0.0ms

sample805.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 47.04159%

Guaranteed chance to sample good point: 0%

Results
523.0ms8000×body80valid
28.0ms471×body80nan

Profiling

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