Details

Time bar (total: 6.5s)

sample57.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
17.0ms263×body80nan

simplify79.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04414
116514
282614
3386714
4500214

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

localize16.0ms

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

rewrite39.0ms

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))
18.0ms
(/ (- 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))))))

series72.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* 5.0 (* 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))))))

simplify114.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07721158
143501002
250031002

prune208.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1006106
Fresh000
Picked101
Done000
Total1016107

Merged error: 0.1b

Counts
107 → 6

localize19.0ms

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

rewrite40.0ms

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))
15.0ms
(/ (- 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))))))

series87.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
44.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
21.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
19.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify110.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07971300
142701138
250011138

prune209.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1071108
Fresh055
Picked011
Done000
Total1077114

Merged error: 0.1b

Counts
114 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

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)))))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.3b
(* PI t)
0.4b
(* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))

rewrite93.0ms

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:
33.0ms
(/ (- 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))))
18.0ms
(* (* (* 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)))))))
4.0ms
(* PI t)
13.0ms
(* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))

series121.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ (- 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))))
22.0ms
(* (* (* 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)))))))
2.0ms
(* PI t)
52.0ms
(* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))

simplify92.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
017547047
150026344

prune1.3s

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2283231
Fresh235
Picked011
Done011
Total2308238

Merged error: 0.0b

Counts
238 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (cbrt (- 1.0 (* 5.0 (* v v)))) (* PI t))
0.3b
(* 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))

rewrite294.0ms

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:
6.0ms
(/ (cbrt (- 1.0 (* 5.0 (* v v)))) (* PI t))
3.0ms
(* 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)))
212.0ms
(/ (cbrt (- 1.0 (* 5.0 (* v v)))) (pow (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) 3))

series160.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ (cbrt (- 1.0 (* 5.0 (* v v)))) (* PI t))
2.0ms
(* PI t)
81.0ms
(* (/ (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)))
36.0ms
(/ (cbrt (- 1.0 (* 5.0 (* v v)))) (pow (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) 3))

simplify115.0ms

Algorithm
egg-herbie
Counts
402 → 402
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
017818339
150018089

prune1.5s

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3993402
Fresh415
Picked101
Done022
Total4046410

Merged error: 0b

Counts
410 → 6

regimes287.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02514
12514

end0.0ms

sample1.5s

Algorithm
intervals
Results
543.0ms8001×body80valid
511.0ms7904×body80nan

Profiling

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