Details

Time bar (total: 1.4s)

analyze5.0ms

Algorithm
search

sample18.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify59.0ms

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: 0.0b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.0b
(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b
(* 3.0 (* v v))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
26×associate-*l*
23×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity times-frac
20×sqrt-prod
18×frac-times sqrt-div
17×pow1
15×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
9×associate-*l/
7×pow-prod-down unswap-sqr
4×add-log-exp
3×*-commutative
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 128
Calls
4 calls:
16.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
2.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
10.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms
(* 3.0 (* v v))

series31.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
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))

simplify91.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
08131605
136491515
250011515

prune460.0ms

Filtered
101 candidates to 140 candidates (-38.6%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1391140
Fresh000
Picked101
Done000
Total1401141

Merged error: 0b

Counts
141 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
0.2b
(* 3.0 (* v v))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
11×pow1
10×add-exp-log add-cbrt-cube
9×associate-*l*
8×add-cube-cbrt *-un-lft-identity sqrt-div
7×flip3-- sqrt-prod flip--
5×associate-*r*
4×frac-times pow-prod-down prod-exp cbrt-unprod
3×add-log-exp unswap-sqr
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ associate-*l/ *-commutative
1×rem-sqrt-square sqrt-pow1 pow1/2 difference-of-squares
Counts
3 → 69
Calls
3 calls:
2.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
7.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* 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 (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
3.0ms
(* 3.0 (* v v))

simplify48.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0429693
11675666
25001660

prune126.0ms

Filtered
55 candidates to 78 candidates (-41.8%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New78078
Fresh000
Picked011
Done000
Total78179

Merged error: 0b

Counts
79 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01710
11710

end0.0ms

analyze5.0ms

Algorithm
search

sample478.0ms

Algorithm
intervals
Results
389.0ms8000×body80valid
0.0ms2×body80nan

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