Details

Time bar (total: 1.7s)

analyze34.0ms

Algorithm
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

Algorithm
intervals
Results
5.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
087
187

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm
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))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(/ (+ x y) (+ y 1.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05238477

prune51.0ms

Filtered
28 candidates to 43 candidates (-53.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New40343
Fresh000
Picked011
Done000
Total40444

Merged error: 0b

Counts
44 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm
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:
5.0ms
(/ 1 (+ y 1.0))
11.0ms
(* (+ x y) (/ 1 (+ y 1.0)))

series8.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(/ 1 (+ y 1.0))
6.0ms
(* (+ x y) (/ 1 (+ y 1.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04944773
14944773

prune84.0ms

Filtered
52 candidates to 89 candidates (-71.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New89089
Fresh022
Picked011
Done011
Total89493

Merged error: 0b

Counts
93 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm
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*
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×flip3-+ flip-+ div-inv
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip inv-pow
Counts
2 → 152
Calls
2 calls:
7.0ms
(/ (+ y 1.0) (+ x y))
10.0ms
(/ 1 (/ (+ y 1.0) (+ x y)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ (+ y 1.0) (+ x y))
6.0ms
(/ 1 (/ (+ y 1.0) (+ x y)))

simplify61.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
051952069

prune128.0ms

Filtered
84 candidates to 158 candidates (-88.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1580158
Fresh011
Picked011
Done022
Total1584162

Merged error: 0b

Counts
162 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x y) (+ y 1.0))
0.0b
(sqrt (/ (+ x y) (+ y 1.0)))
0.0b
(sqrt (/ (+ x y) (+ y 1.0)))
0.2b
(* (sqrt (/ (+ x y) (+ y 1.0))) (sqrt (/ (+ x y) (+ y 1.0))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
284×*-un-lft-identity
186×sqrt-prod
160×times-frac
114×add-sqr-sqrt
90×distribute-lft-out
80×add-cube-cbrt
47×swap-sqr
25×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×pow-prod-up
4×rem-sqrt-square associate-/r* associate-/l* add-log-exp
3×pow-prod-down pow-sqr
2×associate-/l/
1×cbrt-undiv pow2 frac-times frac-2neg pow-plus sqrt-unprod associate-*r/ div-exp associate-*l/ prod-exp clear-num rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 242
Calls
4 calls:
12.0ms
(/ (+ x y) (+ y 1.0))
8.0ms
(sqrt (/ (+ x y) (+ y 1.0)))
7.0ms
(sqrt (/ (+ x y) (+ y 1.0)))
26.0ms
(* (sqrt (/ (+ x y) (+ y 1.0))) (sqrt (/ (+ x y) (+ y 1.0))))

series48.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ (+ x y) (+ y 1.0))
13.0ms
(sqrt (/ (+ x y) (+ y 1.0)))
13.0ms
(sqrt (/ (+ x y) (+ y 1.0)))
16.0ms
(* (sqrt (/ (+ x y) (+ y 1.0))) (sqrt (/ (+ x y) (+ y 1.0))))

simplify78.0ms

Algorithm
egg-herbie
Counts
254 → 254
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049653220
149653220

prune257.0ms

Filtered
136 candidates to 254 candidates (-86.8%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2540254
Fresh000
Picked011
Done033
Total2544258

Merged error: 0b

Counts
258 → 4

regimes111.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087
187

end0.0ms

analyze36.0ms

Algorithm
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

sample486.0ms

Algorithm
intervals
Results
366.0ms8000×body80valid

Profiling

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