Details

Time bar (total: 896.0ms)

sample34.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 50.061035%

Guaranteed chance to sample good point: 99.987778%

Results
13.0ms256×body80valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
218210
337010
471310
5106610
6120110
7130810
8130810

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.1b
(* 3.0 (* v v))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
25×associate-*l*
22×times-frac
20×add-cube-cbrt *-un-lft-identity sqrt-prod
13×add-exp-log add-cbrt-cube
11×pow1
associate-*r* unswap-sqr
sqrt-div
prod-exp cbrt-unprod
pow-prod-down
flip3-- flip-- add-log-exp
frac-times associate-*r/ *-commutative
cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp associate-*l/ div-inv
Counts
3 → 86
Calls
3 calls:
2.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
10.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
5.0ms
(* 3.0 (* v v))

series17.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
9.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
3.0ms
(* 3.0 (* v v))

simplify47.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0471805
11718768
25002764

prune152.0ms

Filtered
66 candidates to 95 candidates (-43.9%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New95095
Fresh000
Picked011
Done000
Total95196

Merged error: 0b

Counts
96 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01710
11710

end0.0ms

sample553.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 50.061035%

Guaranteed chance to sample good point: 99.987778%

Results
409.0ms8000×body80valid
0.0msbody80nan

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