Details

Time bar (total: 1.5s)

analyze57.0ms (3.7%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
50%50%0.1%5
50%50%0.1%6
71.8%28.1%0.1%7
73.4%25%1.7%8
80.4%16.4%3.2%9
80.8%14%5.2%10
84.1%8.8%7.1%11
84.2%7.4%8.4%12
85.8%4.5%9.7%13
85.8%3.8%10.4%14

sample12.0ms (0.8%)

Algorithm
1×intervals
Results
6.0ms256×body80valid
0.0ms9×body80invalid

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0137
1137

prune5.0ms (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

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x y) (+ y y))

rewrite15.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
75×*-un-lft-identity
48×times-frac
39×add-sqr-sqrt add-cube-cbrt
28×distribute-lft-out
15×distribute-rgt-out
12×associate-/r*
5×distribute-lft1-in count-2 distribute-rgt1-in
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 80
Calls

1 calls:

11.0ms
(/ (+ x y) (+ y y))

series5.0ms (0.3%)

Counts
1 → 3
Calls

1 calls:

5.0ms
(/ (+ x y) (+ y y))

simplify53.0ms (3.4%)

Algorithm
1×egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05602942

prune90.0ms (5.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New80383
Fresh000
Picked011
Done000
Total80484

Merged error: 0b

Counts
84 → 4

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.2b
(* (/ 1 y) (/ (+ x y) 2))

rewrite18.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
33×add-sqr-sqrt
28×times-frac
24×*-un-lft-identity
23×add-exp-log
16×add-cube-cbrt associate-*r*
13×associate-*l* add-cbrt-cube
8×div-exp prod-exp
6×unswap-sqr
4×cbrt-undiv cbrt-unprod
3×pow1 distribute-lft-out
2×rec-exp 1-exp div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative add-log-exp
Counts
1 → 59
Calls

1 calls:

15.0ms
(* (/ 1 y) (/ (+ x y) 2))

series5.0ms (0.3%)

Counts
1 → 3
Calls

1 calls:

5.0ms
(* (/ 1 y) (/ (+ x y) 2))

simplify52.0ms (3.4%)

Algorithm
1×egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05157579

prune90.0ms (5.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New61162
Fresh112
Picked011
Done011
Total62466

Merged error: 0b

Counts
66 → 4

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))

rewrite23.0ms (1.5%)

Algorithm
1×rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls

4 calls:

12.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))

series130.0ms (8.4%)

Counts
4 → 12
Calls

4 calls:

39.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
32.0ms
(cbrt (+ x y))
30.0ms
(cbrt (+ x y))
29.0ms
(cbrt (+ x y))

simplify43.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04881941
14881941

prune127.0ms (8.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1070107
Fresh011
Picked011
Done022
Total1074111

Merged error: 0b

Counts
111 → 4

localize11.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.1b
(sqrt (/ 1 y))
0.1b
(sqrt (/ 1 y))
0.1b
(* (* 1/2 (+ y x)) (sqrt (/ 1 y)))
0.2b
(* (sqrt (/ 1 y)) (* (* 1/2 (+ y x)) (sqrt (/ 1 y))))

rewrite37.0ms (2.4%)

Algorithm
1×rewrite-expression-head
Rules
52×sqrt-prod
42×add-sqr-sqrt
40×times-frac
36×*-un-lft-identity
34×add-cube-cbrt
22×pow1
20×associate-*r/
18×add-exp-log add-cbrt-cube
17×sqrt-div associate-*r* associate-*l*
11×frac-times
9×pow-prod-down prod-exp cbrt-unprod
7×associate-*l/
6×rem-sqrt-square sqrt-pow1 flip3-+ flip-+
4×div-inv add-log-exp
2×pow-flip pow1/2 *-commutative inv-pow
Counts
4 → 137
Calls

4 calls:

15.0ms
(* (sqrt (/ 1 y)) (* (* 1/2 (+ y x)) (sqrt (/ 1 y))))
11.0ms
(* (* 1/2 (+ y x)) (sqrt (/ 1 y)))
3.0ms
(sqrt (/ 1 y))
3.0ms
(sqrt (/ 1 y))

series23.0ms (1.5%)

Counts
4 → 12
Calls

4 calls:

10.0ms
(* (* 1/2 (+ y x)) (sqrt (/ 1 y)))
8.0ms
(* (sqrt (/ 1 y)) (* (* 1/2 (+ y x)) (sqrt (/ 1 y))))
3.0ms
(sqrt (/ 1 y))
3.0ms
(sqrt (/ 1 y))

simplify52.0ms (3.4%)

Algorithm
1×egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
050141432

prune257.0ms (16.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1490149
Fresh000
Picked011
Done033
Total1494153

Merged error: 0b

Counts
153 → 4

regimes116.0ms (7.5%)

Accuracy

Total 0.0b remaining (83.5%)

Threshold costs 0.0b (83.5%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
167

end0.0ms (0%)

sample302.0ms (19.5%)

Algorithm
1×intervals
Results
172.0ms8000×body80valid
5.0ms223×body80invalid

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