Details

Time bar (total: 2.2s)

analyze5.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14

sample19.0ms (0.9%)

Algorithm
1×intervals
Results
13.0ms256×body80valid

simplify247.0ms (11%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (245.0ms)

IterNodesCost
0236419
1236419

prune6.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize12.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite20.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
35×add-sqr-sqrt
25×associate-*l*
22×times-frac
18×add-cube-cbrt *-un-lft-identity
17×sqrt-prod
12×add-exp-log add-cbrt-cube
9×pow1
7×associate-*r* unswap-sqr
5×prod-exp cbrt-unprod
4×sqrt-div pow-prod-down
2×frac-times flip3-- associate-*r/ *-commutative flip-- add-log-exp
1×cbrt-undiv div-exp associate-*l/ div-inv
Counts
2 → 71
Calls

2 calls:

12.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms
(* 3.0 (* v v))

series18.0ms (0.8%)

Counts
2 → 6
Calls

2 calls:

14.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
3.0ms
(* 3.0 (* v v))

simplify44.0ms (2%)

Algorithm
1×egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
052161095

prune210.0ms (9.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New76177
Fresh000
Picked011
Done000
Total76278

Merged error: 0b

Counts
78 → 2

localize15.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

rewrite58.0ms (2.6%)

Algorithm
1×rewrite-expression-head
Rules
112×sqrt-div
65×pow1
51×frac-times
45×add-sqr-sqrt
32×associate-*l*
31×associate-*r/
28×sqrt-pow1
27×pow-prod-down
26×flip3-- flip--
25×add-cube-cbrt *-un-lft-identity
22×times-frac
21×add-exp-log sqrt-prod add-cbrt-cube
18×associate-*l/
12×associate-*r*
10×pow1/2 pow-prod-up
9×prod-exp cbrt-unprod unswap-sqr
6×pow-sqr
4×swap-sqr *-commutative add-log-exp
1×cbrt-undiv pow2 pow-plus sqrt-unprod div-exp rem-square-sqrt div-inv
Counts
4 → 174
Calls

4 calls:

22.0ms
(* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
15.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms
(* 3.0 (* v v))
6.0ms
(* 3.0 (* v v))

series32.0ms (1.4%)

Counts
4 → 12
Calls

4 calls:

15.0ms
(* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
10.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
3.0ms
(* 3.0 (* v v))
3.0ms
(* 3.0 (* v v))

simplify51.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
186 → 186
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
050363495

prune920.0ms (40.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1860186
Fresh000
Picked011
Done011
Total1862188

Merged error: 0b

Counts
188 → 2

regimes80.0ms (3.5%)

Accuracy

Total 0.0b remaining (36.6%)

Threshold costs 0.0b (36.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05319
15319

end0.0ms (0%)

sample510.0ms (22.7%)

Algorithm
1×intervals
Results
410.0ms8000×body80valid
0.0ms3×body80nan

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