Details

Time bar (total: 3.0s)

analyze188.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 50.048816%

Guaranteed chance to sample good point: 96.899414%

sample24.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify74.0ms

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

localize18.0ms

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))))))

rewrite35.0ms

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))
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))))))

series70.0ms

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))))
2.0ms
(* PI t)
21.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify106.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07721158
143501002
250031002

prune204.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New979106
Fresh000
Picked101
Done000
Total989107

Merged error: 0.1b

Counts
107 → 9

localize15.0ms

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

rewrite42.0ms

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))
17.0ms
(/ (- 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))))))

series85.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
43.0ms
(/ (- 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))))))

simplify103.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07971300
142701138
250011138

prune214.0ms

Filtered
76 candidates to 108 candidates (-42.1%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1035108
Fresh358
Picked011
Done000
Total10611117

Merged error: 0.1b

Counts
117 → 11

localize15.0ms

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
16×pow1
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
8×associate-*r/ associate-*r*
7×associate-*l* pow-prod-down
4×sqrt-div add-log-exp
3×cbrt-undiv flip3-- times-frac div-exp *-commutative flip-- associate-/l*
2×associate-/r/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 86
Calls
4 calls:
5.0ms
(* 5.0 (* v v))
12.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
3.0ms
(* PI t)
8.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series63.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
35.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
2.0ms
(* PI t)
23.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify75.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0612872
13214756
25001756

prune170.0ms

Filtered
66 candidates to 98 candidates (-48.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New96298
Fresh369
Picked101
Done011
Total1009109

Merged error: 0.0b

Counts
109 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
46×times-frac
30×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
25×add-exp-log add-cbrt-cube
11×pow1
10×associate-/l*
8×sqrt-prod
7×cbrt-undiv div-exp div-inv
6×associate-*l* prod-exp cbrt-unprod
5×associate-/r*
4×associate-*r* pow-prod-down add-log-exp
3×div-sub associate-/l/
2×flip3-- frac-2neg sqrt-div associate-*r/ clear-num associate-/r/ *-commutative flip-- unswap-sqr
Counts
4 → 120
Calls
4 calls:
5.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
6.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
11.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series53.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
2.0ms
(* PI t)
10.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
37.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify81.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
07041489
133821354
250011354

prune236.0ms

Filtered
96 candidates to 132 candidates (-37.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1284132
Fresh707
Picked011
Done011
Total1356141

Merged error: 0b

Counts
141 → 6

regimes237.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02521
12521

end0.0ms

analyze186.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 50.048816%

Guaranteed chance to sample good point: 96.899414%

sample642.0ms

Algorithm
intervals
Results
508.0ms8000×body80valid
1.0ms9×body80nan

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