Details

Time bar (total: 6.8s)

sample46.0ms

Algorithm
intervals
Results
15.0ms260×body80nan
15.0ms256×body80valid

simplify75.0ms

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: 0.6b

Counts
2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* PI t)
0.4b
(* (* 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))))

rewrite34.0ms

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

series815.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
25.0ms
(* PI t)
190.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
575.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify111.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07721158
143501002
250011002

prune303.0ms

Filtered
106 candidates to 72 candidates (67.9%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New9511106
Fresh000
Picked101
Done000
Total9611107

Merged error: 0.3b

Counts
107 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

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

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

series954.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
195.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
147.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
588.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

simplify107.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07971300
142701138
250031138

prune296.0ms

Filtered
108 candidates to 77 candidates (71.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1053108
Fresh3710
Picked101
Done000
Total10910119

Merged error: 0.3b

Counts
119 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log add-cbrt-cube
20×pow1 prod-exp cbrt-unprod
18×associate-*r/
16×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×pow-prod-down
9×associate-*l*
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
5×cbrt-undiv div-exp
4×frac-times sqrt-prod add-log-exp
3×times-frac *-commutative associate-/l* unswap-sqr
2×associate-*l/ associate-/l/
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 102
Calls
4 calls:
5.0ms
(* 5.0 (* v v))
10.0ms
(* PI (* (* t (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))
5.0ms
(* t (sqrt 2.0))
16.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* (* t (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

series850.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
192.0ms
(* PI (* (* t (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))
46.0ms
(* t (sqrt 2.0))
588.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* (* t (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify116.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
08431334
146651148
250011146

prune444.0ms

Filtered
114 candidates to 72 candidates (63.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1140114
Fresh099
Picked011
Done000
Total11410124

Merged error: 0.3b

Counts
124 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* PI t)
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.5b
(/ 1 (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
50×add-exp-log
30×add-cbrt-cube
26×pow1
25×prod-exp
18×associate-*r/
13×add-sqr-sqrt pow-prod-down cbrt-unprod
10×add-cube-cbrt *-un-lft-identity
8×sqrt-div div-exp associate-*r* associate-/r/
7×flip3-- associate-*l* flip--
4×cbrt-undiv frac-times rec-exp pow-flip 1-exp add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ unswap-sqr
1×frac-2neg clear-num associate-/r* sqrt-prod div-inv inv-pow
Counts
4 → 104
Calls
4 calls:
5.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
9.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
14.0ms
(/ 1 (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

series654.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* 5.0 (* v v))
19.0ms
(* PI t)
189.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
422.0ms
(/ 1 (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify97.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
06581021
13512899
25001893

prune227.0ms

Filtered
116 candidates to 66 candidates (56.9%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1133116
Fresh268
Picked011
Done011
Total11511126

Merged error: 0.3b

Counts
126 → 11

regimes224.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02615
12615

end0.0ms

sample1.2s

Algorithm
intervals
Results
480.0ms8002×body80valid
476.0ms8115×body80nan

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