Details

Time bar (total: 2.1s)

analyze124.0ms (6%)

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
12.5%87.4%0.1%5
31.2%68.7%0.1%6
46.8%53.1%0.1%7
60.9%39%0.1%8
67.9%31.2%0.9%9
74.5%22.2%3.2%10
77.9%17.2%5%11
81.1%11.8%7.1%12
82.7%9%8.3%13
84.3%6.1%9.7%14

sample16.0ms (0.8%)

Algorithm
1×intervals
Results
8.0ms256×body80valid
0.0ms11×body80invalid

simplify112.0ms (5.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (110.0ms)

IterNodesCost
0510811

prune5.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.6b

Counts
2 → 1

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
9.9b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite22.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
4×pow1 times-frac associate-*r/ associate-*r* associate-/r*
3×flip3-+ associate-*l* flip-+ distribute-lft-out
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 50
Calls

2 calls:

12.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))
9.0ms
(* x (+ (/ x y) 1.0))

series11.0ms (0.5%)

Counts
2 → 6
Calls

2 calls:

7.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))
4.0ms
(* x (+ (/ x y) 1.0))

simplify50.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04968591
14968591

prune97.0ms (4.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New51556
Fresh000
Picked101
Done000
Total52557

Merged error: 0.0b

Counts
57 → 5

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b
(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite30.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
155×*-un-lft-identity
146×times-frac
71×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
26×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
7×associate-/l*
6×flip3-+ flip-+ div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
2 → 146
Calls

2 calls:

13.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
10.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series15.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

8.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
7.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))

simplify61.0ms (2.9%)

Algorithm
1×egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049982646
149982646

prune243.0ms (11.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1493152
Fresh134
Picked011
Done000
Total1507157

Merged error: 0.0b

Counts
157 → 7

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(* (+ x 1.0) (/ 1 (+ 1.0 (/ x y))))
0.1b
(/ x (* (+ x 1.0) (/ 1 (+ 1.0 (/ x y)))))
0.1b
(/ 1 (+ 1.0 (/ x y)))

rewrite41.0ms (2%)

Algorithm
1×rewrite-expression-head
Rules
40×*-un-lft-identity
31×add-exp-log
30×add-sqr-sqrt
29×times-frac
23×add-cube-cbrt
19×add-cbrt-cube
18×associate-*r*
11×div-exp
10×associate-/r/
8×prod-exp distribute-lft-out
6×pow1 cbrt-undiv flip3-+ flip-+ associate-/l*
5×associate-/r*
4×frac-times associate-*l* associate-*l/ cbrt-unprod
3×rec-exp 1-exp div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ clear-num un-div-inv
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 114
Calls

3 calls:

17.0ms
(* (+ x 1.0) (/ 1 (+ 1.0 (/ x y))))
13.0ms
(/ x (* (+ x 1.0) (/ 1 (+ 1.0 (/ x y)))))
8.0ms
(/ 1 (+ 1.0 (/ x y)))

series20.0ms (1%)

Counts
3 → 9
Calls

3 calls:

8.0ms
(* (+ x 1.0) (/ 1 (+ 1.0 (/ x y))))
7.0ms
(/ x (* (+ x 1.0) (/ 1 (+ 1.0 (/ x y)))))
5.0ms
(/ 1 (+ 1.0 (/ x y)))

simplify67.0ms (3.2%)

Algorithm
1×egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049321294
149321294

prune179.0ms (8.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1230123
Fresh055
Picked011
Done011
Total1237130

Merged error: 0.0b

Counts
130 → 7

localize14.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ 1.0 (/ x y)))
0.2b
(cbrt (+ 1.0 (/ x y)))
0.2b
(cbrt (+ (/ x y) 1.0))
0.3b
(* (cbrt (+ 1.0 (/ x y))) (cbrt (+ 1.0 (/ x y))))

rewrite35.0ms (1.7%)

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:

15.0ms
(* (cbrt (+ 1.0 (/ x y))) (cbrt (+ 1.0 (/ x y))))
6.0ms
(cbrt (+ (/ x y) 1.0))
5.0ms
(cbrt (+ 1.0 (/ x y)))
5.0ms
(cbrt (+ 1.0 (/ x y)))

series143.0ms (6.9%)

Counts
4 → 12
Calls

4 calls:

41.0ms
(* (cbrt (+ 1.0 (/ x y))) (cbrt (+ 1.0 (/ x y))))
35.0ms
(cbrt (+ (/ x y) 1.0))
34.0ms
(cbrt (+ 1.0 (/ x y)))
32.0ms
(cbrt (+ 1.0 (/ x y)))

simplify42.0ms (2%)

Algorithm
1×egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
050661188

prune234.0ms (11.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1070107
Fresh044
Picked011
Done022
Total1077114

Merged error: 0.0b

Counts
114 → 7

regimes93.0ms (4.5%)

Accuracy

Total 0.1b remaining (78.3%)

Threshold costs 0.1b (78.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11011

end0.0ms (0%)

sample403.0ms (19.4%)

Algorithm
1×intervals
Results
263.0ms8000×body80valid
8.0ms263×body80invalid

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