Details

Time bar (total: 7.1s)

sample41.0ms

Algorithm
intervals
Results
13.0ms270×body80nan
13.0ms256×body80valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04414
116514
282614
3386714
4500214

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

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))))))

series790.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
557.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
23.0ms
(* PI t)
185.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify109.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07531153
142561002
250011002

prune305.0ms

Filtered
106 candidates to 72 candidates (67.9%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1006106
Fresh000
Picked101
Done000
Total1016107

Merged error: 0.1b

Counts
107 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI t)
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
6.9b
(/ (* 5.0 (* v v)) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
70×add-exp-log add-cbrt-cube
37×prod-exp cbrt-unprod
22×associate-*r/
16×pow1
12×cbrt-undiv div-exp
11×associate-*r*
10×add-sqr-sqrt sqrt-div
8×add-cube-cbrt flip3-- *-un-lft-identity associate-/r/ flip--
7×pow-prod-down
5×associate-*l*
4×frac-times add-log-exp
3×*-commutative
2×associate-*l/ sqrt-prod
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l* unswap-sqr
Counts
4 → 105
Calls
4 calls:
3.0ms
(* PI t)
9.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
8.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
17.0ms
(/ (* 5.0 (* v v)) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

series940.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* PI t)
184.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
185.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
551.0ms
(/ (* 5.0 (* v v)) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify38.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
08001506
150021207

prune358.0ms

Filtered
117 candidates to 71 candidates (60.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1170117
Fresh055
Picked011
Done000
Total1176123

Merged error: 0.1b

Counts
123 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 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 (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.5b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite41.0ms

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:
6.0ms
(* 3.0 (* 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))))
9.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
7.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series968.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 3.0 (* v v))
591.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
191.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
154.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify105.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07771295
141701138
250031138

prune326.0ms

Filtered
108 candidates to 76 candidates (70.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1053108
Fresh224
Picked011
Done011
Total1077114

Merged error: 0.1b

Counts
114 → 7

localize45.0ms

Local error

Found 4 expressions with local error:

4.2b
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
4.2b
(/ (* (pow v 4) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))
6.9b
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
6.9b
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
164×add-exp-log
78×prod-exp
74×add-cbrt-cube
48×div-exp
30×cbrt-unprod
20×cbrt-undiv
17×times-frac associate-/l*
14×pow-to-exp pow-exp
12×add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity
4×pow1 frac-2neg clear-num associate-/r* div-inv add-log-exp sqr-pow
2×unpow2
Counts
4 → 146
Calls
4 calls:
13.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
11.0ms
(/ (* (pow v 4) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))
12.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
11.0ms
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

series780.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
170.0ms
(/ (* (pow v 4) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))
218.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
164.0ms
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

simplify122.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07451463
144481240
250011240

prune618.0ms

Filtered
158 candidates to 71 candidates (44.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1580158
Fresh044
Picked011
Done022
Total1587165

Merged error: 0.1b

Counts
165 → 7

regimes200.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02625
12625

end0.0ms

sample1.1s

Algorithm
intervals
Results
407.0ms8000×body80valid
396.0ms8218×body80nan