Details

Time bar (total: 1.4s)

analyze27.0ms

Algorithm
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
25%74.9%0.1%4
37.5%62.4%0.1%5
62.4%37.5%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
07817
17817

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
7.0ms
(/ (+ x y) (- x y))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (+ x y) (- x y))

simplify42.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04959532
14959532

prune40.0ms

Filtered
32 candidates to 48 candidates (-50.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New46248
Fresh000
Picked101
Done000
Total47249

Merged error: 0.0b

Counts
49 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 174
Calls
2 calls:
10.0ms
(/ 1 (/ (- x y) (+ x y)))
7.0ms
(/ (- x y) (+ x y))

series18.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ 1 (/ (- x y) (+ x y)))
10.0ms
(/ (- x y) (+ x y))

simplify62.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
061312391

prune107.0ms

Filtered
95 candidates to 180 candidates (-89.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1791180
Fresh011
Picked011
Done000
Total1793182

Merged error: 0.0b

Counts
182 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(cbrt (pow (/ (+ x y) (- x y)) 3))
0.0b
(/ (+ x y) (- x y))
0.0b
(pow (/ (+ x y) (- x y)) 3)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
100×times-frac
98×add-sqr-sqrt
58×cbrt-prod
56×add-cube-cbrt
52×unpow-prod-down cube-prod
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-- associate-/r* flip-- div-inv
4×pow1 associate-/l*
3×pow-unpow add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg flip3-+ pow1/3 clear-num rem-cbrt-cube flip-+
Counts
3 → 185
Calls
3 calls:
10.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
7.0ms
(/ (+ x y) (- x y))
9.0ms
(pow (/ (+ x y) (- x y)) 3)

series34.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
11.0ms
(/ (+ x y) (- x y))
12.0ms
(pow (/ (+ x y) (- x y)) 3)

simplify42.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
054922496

prune122.0ms

Filtered
87 candidates to 194 candidates (-123.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1940194
Fresh011
Picked011
Done011
Total1943197

Merged error: 0.0b

Counts
197 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x y)) (cbrt (- x y)))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
40×cbrt-prod
35×*-un-lft-identity
31×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×pow1/3
8×associate-*r* associate-*l*
6×add-exp-log flip3-- flip-- distribute-lft-out--
4×frac-times add-cbrt-cube add-log-exp difference-of-squares unswap-sqr
3×flip3-+ flip-+ distribute-lft-out
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
12.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))

series121.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
33.0ms
(cbrt (+ x y))
29.0ms
(cbrt (+ x y))
29.0ms
(cbrt (+ x y))

simplify58.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
048461003
148461003

prune163.0ms

Filtered
77 candidates to 110 candidates (-42.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1091110
Fresh000
Picked011
Done022
Total1094113

Merged error: 0b

Counts
113 → 4

regimes116.0ms

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 (1.0ms)

IterNodesCost
0189
1189

end0.0ms

sample273.0ms

Algorithm
intervals
Results
162.0ms8000×body80valid

Profiling

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