Details

Time bar (total: 1.8s)

analyze143.0ms (7.8%)

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
0%99.9%0.1%5
18.7%81.1%0.1%6
40.6%59.3%0.1%7
45.2%54.6%0.1%8
65.5%34.3%0.1%9
78%21.8%0.1%10
80%19.5%0.5%11
81.7%17.7%0.5%12
87.9%11.3%0.8%13
88.3%10.1%1.6%14

sample14.0ms (0.8%)

Algorithm
1×intervals
Results
6.0ms256×body80valid
0.0ms8×body80invalid

simplify49.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
010027
110027

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

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (- z y))

rewrite10.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
37×add-sqr-sqrt *-un-lft-identity
25×times-frac
13×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 52
Calls

1 calls:

7.0ms
(/ (- x y) (- z y))

series12.0ms (0.6%)

Counts
1 → 3
Calls

1 calls:

12.0ms
(/ (- x y) (- z y))

simplify53.0ms (2.9%)

Algorithm
1×egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04867651
14867651

prune72.0ms (3.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New51455
Fresh000
Picked101
Done000
Total52456

Merged error: 0b

Counts
56 → 4

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z y))
0.0b
(/ x (- z y))

rewrite13.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
30×times-frac
22×add-cube-cbrt
10×associate-/r*
8×distribute-lft-out-- difference-of-squares
6×add-exp-log add-cbrt-cube associate-/l*
4×associate-/r/
2×pow1 cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv add-log-exp
Counts
2 → 74
Calls

2 calls:

5.0ms
(/ x (- z y))
5.0ms
(/ y (- z y))

series12.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

7.0ms
(/ x (- z y))
5.0ms
(/ y (- z y))

simplify37.0ms (2%)

Algorithm
1×egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05334684

prune85.0ms (4.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New80080
Fresh033
Picked011
Done000
Total80484

Merged error: 0b

Counts
84 → 4

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- z y))
0.2b
(* (- x y) (/ 1 (- z y)))

rewrite23.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
45×add-sqr-sqrt
39×*-un-lft-identity
32×times-frac
22×add-cube-cbrt
21×associate-*r*
15×add-exp-log
9×add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*l* associate-/r*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 91
Calls

2 calls:

13.0ms
(* (- x y) (/ 1 (- z y)))
6.0ms
(/ 1 (- z y))

series13.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

9.0ms
(* (- x y) (/ 1 (- z y)))
4.0ms
(/ 1 (- z y))

simplify45.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05302808

prune112.0ms (6.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh022
Picked011
Done011
Total974101

Merged error: 0b

Counts
101 → 4

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(/ (- x y) (- z y))
0.2b
(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
1.6b
(sqrt (/ (- x y) (- z y)))
1.6b
(sqrt (/ (- x y) (- z y)))

rewrite83.0ms (4.5%)

Algorithm
1×rewrite-expression-head
Rules
338×*-un-lft-identity
288×add-sqr-sqrt
248×sqrt-prod
231×times-frac
108×distribute-lft-out--
94×add-cube-cbrt
80×difference-of-squares
60×swap-sqr
34×associate-*r* associate-*l*
21×pow1
14×associate-/r/
10×sqrt-pow1 pow1/2
9×unswap-sqr
8×add-exp-log flip3-- add-cbrt-cube flip--
7×div-inv
6×sqrt-div
5×associate-/r* pow-prod-up associate-/l*
4×rem-sqrt-square add-log-exp
3×pow-prod-down pow-sqr
2×associate-/l/
1×cbrt-undiv pow2 frac-times frac-2neg pow-plus sqrt-unprod div-sub associate-*r/ div-exp associate-*l/ prod-exp clear-num rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 303
Calls

4 calls:

36.0ms
(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
8.0ms
(sqrt (/ (- x y) (- z y)))
8.0ms
(sqrt (/ (- x y) (- z y)))
8.0ms
(/ (- x y) (- z y))

series109.0ms (6%)

Counts
4 → 12
Calls

4 calls:

46.0ms
(sqrt (/ (- x y) (- z y)))
43.0ms
(sqrt (/ (- x y) (- z y)))
10.0ms
(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
9.0ms
(/ (- x y) (- z y))

simplify87.0ms (4.7%)

Algorithm
1×egg-herbie
Counts
315 → 315
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049784238
149784238

prune306.0ms (16.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3150315
Fresh011
Picked011
Done022
Total3154319

Merged error: 0b

Counts
319 → 4

regimes176.0ms (9.6%)

Accuracy

Total 0.0b remaining (67.2%)

Threshold costs 0.0b (67.2%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02611
12611

end0.0ms (0%)

sample346.0ms (18.9%)

Algorithm
1×intervals
Results
183.0ms8000×body80valid
5.0ms222×body80invalid

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