Details

Time bar (total: 1.6s)

analyze69.0ms (4.4%)

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
25%74.9%0.1%5
37.5%62.4%0.1%6
67.1%32.8%0.1%7
71%28.9%0.1%8
82.3%17.6%0.1%9
84.9%15%0.1%10
90.8%9.1%0.1%11
92.2%7.7%0.1%12
95.3%4.6%0.1%13
96%3.9%0.1%14

sample13.0ms (0.8%)

Algorithm
1×intervals
Results
6.0ms256×body80valid

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0187
1187

prune5.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.8b

Counts
2 → 1

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

7.4b
(/ (* x y) (+ y 1.0))

rewrite7.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
7×*-un-lft-identity
6×add-exp-log add-cbrt-cube
4×times-frac associate-/r*
3×add-sqr-sqrt add-cube-cbrt
2×cbrt-undiv div-exp associate-/r/ distribute-lft-out
1×pow1 frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ div-inv associate-/l* add-log-exp
Counts
1 → 25
Calls

1 calls:

6.0ms
(/ (* x y) (+ y 1.0))

series7.0ms (0.4%)

Counts
1 → 3
Calls

1 calls:

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

simplify58.0ms (3.7%)

Algorithm
1×egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05421248

prune45.0ms (2.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New25328
Fresh000
Picked011
Done000
Total25429

Merged error: 0b

Counts
29 → 4

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite18.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
4×pow1 associate-/r* associate-/r/
3×associate-*l* associate-/l*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 70
Calls

2 calls:

11.0ms
(* x (/ y (+ y 1.0)))
5.0ms
(/ y (+ y 1.0))

series9.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

6.0ms
(* x (/ y (+ y 1.0)))
2.0ms
(/ y (+ y 1.0))

simplify63.0ms (4%)

Algorithm
1×egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05485665

prune98.0ms (6.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh022
Picked011
Done011
Total76480

Merged error: 0b

Counts
80 → 4

localize7.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ y 1.0))
0.1b
(/ x (sqrt (+ y 1.0)))
0.1b
(/ y (sqrt (+ y 1.0)))
2.0b
(* (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))))

rewrite47.0ms (3%)

Algorithm
1×rewrite-expression-head
Rules
96×add-sqr-sqrt times-frac
95×*-un-lft-identity
66×sqrt-prod
65×add-cube-cbrt
27×associate-*r* associate-*l*
20×add-exp-log add-cbrt-cube
15×distribute-lft-out
14×associate-/r*
10×sqrt-div
9×unswap-sqr
8×associate-/r/
7×pow1
6×cbrt-undiv div-exp associate-/l*
5×flip3-+ flip-+
4×prod-exp cbrt-unprod div-inv add-log-exp
2×frac-2neg clear-num
1×frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 189
Calls

4 calls:

24.0ms
(* (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))))
6.0ms
(/ y (sqrt (+ y 1.0)))
6.0ms
(/ x (sqrt (+ y 1.0)))
3.0ms
(sqrt (+ y 1.0))

series32.0ms (2.1%)

Counts
4 → 12
Calls

4 calls:

11.0ms
(/ x (sqrt (+ y 1.0)))
10.0ms
(/ y (sqrt (+ y 1.0)))
7.0ms
(* (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))))
3.0ms
(sqrt (+ y 1.0))

simplify71.0ms (4.5%)

Algorithm
1×egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049782560
149782560

prune388.0ms (25%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2010201
Fresh011
Picked011
Done022
Total2014205

Merged error: 0b

Counts
205 → 4

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite19.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
20×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
11×times-frac
10×add-cube-cbrt
7×add-exp-log add-cbrt-cube
6×associate-*r*
4×pow1 sub-neg add-log-exp
2×distribute-rgt-in frac-times associate-+r+ flip3-- distribute-lft-in associate-*r/ prod-exp flip-- cbrt-unprod difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out--
Counts
2 → 54
Calls

2 calls:

13.0ms
(* (/ x y) (- (/ 1.0 y) 1.0))
4.0ms
(+ x (* (/ x y) (- (/ 1.0 y) 1.0)))

series17.0ms (1.1%)

Counts
2 → 6
Calls

2 calls:

8.0ms
(+ x (* (/ x y) (- (/ 1.0 y) 1.0)))
8.0ms
(* (/ x y) (- (/ 1.0 y) 1.0))

simplify55.0ms (3.5%)

Algorithm
1×egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04981733
14981733

prune78.0ms (5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New60060
Fresh000
Picked011
Done033
Total60464

Merged error: 0b

Counts
64 → 4

regimes111.0ms (7.1%)

Accuracy

Total 0.0b remaining (72.8%)

Threshold costs 0.0b (72.8%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087
187

end0.0ms (0%)

sample319.0ms (20.5%)

Algorithm
1×intervals
Results
188.0ms8000×body80valid

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