Details

Time bar (total: 1.6s)

analyze41.0ms (2.5%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
25%74.9%0.1%3
25%74.9%0.1%4
43.7%56.2%0.1%5
46.8%53.1%0.1%6
78%21.9%0.1%7
82.7%17.2%0.1%8
89%10.9%0.1%9
91.3%8.6%0.1%10
94.4%5.5%0.1%11
95.6%4.3%0.1%12
97.2%2.7%0.1%13
97.8%2.1%0.1%14

sample12.0ms (0.7%)

Algorithm
1×intervals
Results
5.0ms256×body80valid

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
087
187

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) (+ y 1.0))

rewrite9.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
31×*-un-lft-identity
16×times-frac
11×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
4×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-exp clear-num div-inv add-log-exp
Counts
1 → 40
Calls

1 calls:

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

series6.0ms (0.4%)

Counts
1 → 3
Calls

1 calls:

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

simplify50.0ms (3.1%)

Algorithm
1×egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05052477

prune66.0ms (4.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New40343
Fresh000
Picked011
Done000
Total40444

Merged error: 0b

Counts
44 → 4

localize8.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite19.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
37×*-un-lft-identity
27×add-sqr-sqrt
26×times-frac
20×add-cube-cbrt
18×associate-*r*
15×add-exp-log
9×add-cbrt-cube
8×distribute-lft-out
5×pow1
4×flip3-+ div-exp associate-*l* prod-exp associate-/r* 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 → 83
Calls

2 calls:

12.0ms
(* (+ x y) (/ 1 (+ y 1.0)))
5.0ms
(/ 1 (+ y 1.0))

series9.0ms (0.5%)

Counts
2 → 6
Calls

2 calls:

6.0ms
(* (+ x y) (/ 1 (+ y 1.0)))
2.0ms
(/ 1 (+ y 1.0))

simplify59.0ms (3.6%)

Algorithm
1×egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05297773

prune123.0ms (7.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New89089
Fresh022
Picked011
Done011
Total89493

Merged error: 0b

Counts
93 → 4

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

rewrite58.0ms (3.6%)

Algorithm
1×rewrite-expression-head
Rules
139×*-un-lft-identity
120×times-frac
116×add-sqr-sqrt
79×sqrt-prod
69×add-cube-cbrt
34×associate-*r*
32×add-exp-log distribute-lft-out
27×associate-*l*
20×add-cbrt-cube
15×unswap-sqr
14×associate-/r*
11×div-exp
10×sqrt-div
9×pow1
8×prod-exp associate-/r/
7×associate-/l*
6×cbrt-undiv flip3-+ flip-+
4×cbrt-unprod div-inv add-log-exp
3×rec-exp pow-flip 1-exp
2×frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
1×frac-times rem-sqrt-square associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 222
Calls

4 calls:

32.0ms
(* (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0))))
8.0ms
(/ (+ x y) (sqrt (+ y 1.0)))
6.0ms
(/ 1 (sqrt (+ y 1.0)))
3.0ms
(sqrt (+ y 1.0))

series25.0ms (1.5%)

Counts
4 → 12
Calls

4 calls:

11.0ms
(/ (+ x y) (sqrt (+ y 1.0)))
5.0ms
(* (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0))))
4.0ms
(/ 1 (sqrt (+ y 1.0)))
4.0ms
(sqrt (+ y 1.0))

simplify44.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
234 → 234
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
050043058

prune510.0ms (31.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2340234
Fresh011
Picked011
Done022
Total2344238

Merged error: 0b

Counts
238 → 4

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b
(- (+ 1 (/ x y)) (/ 1.0 y))

rewrite12.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity add-log-exp
2×diff-log frac-sub distribute-lft-out-- difference-of-squares
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- flip3-+ times-frac associate--l+ sum-log add-cbrt-cube flip-- flip-+ distribute-lft-out
Counts
1 → 19
Calls

1 calls:

11.0ms
(- (+ 1 (/ x y)) (/ 1.0 y))

series4.0ms (0.3%)

Counts
1 → 3
Calls

1 calls:

4.0ms
(- (+ 1 (/ x y)) (/ 1.0 y))

simplify57.0ms (3.5%)

Algorithm
1×egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05280320

prune34.0ms (2.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New22022
Fresh000
Picked011
Done033
Total22426

Merged error: 0b

Counts
26 → 4

regimes114.0ms (7.1%)

Accuracy

Total 0.0b remaining (64.7%)

Threshold costs 0.0b (64.7%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087
187

end0.0ms (0%)

sample324.0ms (20.1%)

Algorithm
1×intervals
Results
189.0ms8000×body80valid

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