Details

Time bar (total: 1.5s)

analyze26.0ms

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

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (37.0ms)

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))

rewrite9.0ms

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))

series12.0ms

Counts
1 → 3
Calls
1 calls:
12.0ms
(/ (+ x y) (- x y))

simplify43.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04959532
14959532

prune47.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New44448
Fresh000
Picked101
Done000
Total45449

Merged error: 0.0b

Counts
49 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
61×add-sqr-sqrt
60×times-frac
52×exp-prod
35×add-cube-cbrt
27×log-pow
16×distribute-lft-out
13×distribute-lft-out-- difference-of-squares
6×associate-/r/
5×add-exp-log associate-/r* add-cbrt-cube
4×pow1 associate-/l* add-log-exp
3×log-prod flip3-- flip-- div-inv
2×associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp clear-num flip-+ rem-exp-log
Counts
3 → 117
Calls
3 calls:
8.0ms
(exp (/ (+ x y) (- x y)))
9.0ms
(log (exp (/ (+ x y) (- x y))))
7.0ms
(/ (+ x y) (- x y))

series27.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(exp (/ (+ x y) (- x y)))
8.0ms
(log (exp (/ (+ x y) (- x y))))
8.0ms
(/ (+ x y) (- x y))

simplify66.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049511164
149511164

prune111.0ms

Filtered
83 candidates to 126 candidates (-51.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1260126
Fresh033
Picked011
Done000
Total1264130

Merged error: 0.0b

Counts
130 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

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:
11.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
11.0ms
(pow (/ (+ x y) (- x y)) 3)
7.0ms
(/ (+ x y) (- x y))

series32.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
13.0ms
(pow (/ (+ x y) (- x y)) 3)
8.0ms
(/ (+ x y) (- x y))

simplify45.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
054922496

prune133.0ms

Filtered
86 candidates to 194 candidates (-125.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1931194
Fresh112
Picked011
Done011
Total1944198

Merged error: 0b

Counts
198 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (* (cbrt (pow (/ (+ x y) (- x y)) 2)) (cbrt (/ (+ x y) (- x y)))) 3)
0.0b
(/ (+ x y) (- x y))
0.0b
(/ (+ x y) (- x y))
0.0b
(cbrt (pow (/ (+ x y) (- x y)) 2))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
100×*-un-lft-identity
66×add-sqr-sqrt
60×times-frac
38×add-cube-cbrt
32×cbrt-prod
27×unpow-prod-down
17×distribute-lft-out
14×distribute-lft-out-- difference-of-squares
11×add-exp-log
10×associate-/r*
9×add-cbrt-cube
8×associate-/l*
7×pow1
6×associate-/r/
4×pow-pow associate-/l/ add-log-exp
3×pow-unpow flip3-- pow1/3 flip-- div-inv
2×cbrt-undiv frac-2neg flip3-+ div-exp pow-prod-down pow-exp clear-num flip-+ unpow2 rem-cube-cbrt sqr-pow
1×cube-div cube-mult pow-to-exp cbrt-div unpow3 cube-prod associate-*r/ pow3 prod-exp cbrt-unprod
Counts
4 → 154
Calls
4 calls:
20.0ms
(pow (* (cbrt (pow (/ (+ x y) (- x y)) 2)) (cbrt (/ (+ x y) (- x y)))) 3)
7.0ms
(/ (+ x y) (- x y))
7.0ms
(/ (+ x y) (- x y))
9.0ms
(cbrt (pow (/ (+ x y) (- x y)) 2))

series60.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(pow (* (cbrt (pow (/ (+ x y) (- x y)) 2)) (cbrt (/ (+ x y) (- x y)))) 3)
8.0ms
(/ (+ x y) (- x y))
8.0ms
(/ (+ x y) (- x y))
19.0ms
(cbrt (pow (/ (+ x y) (- x y)) 2))

simplify55.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
059601933

prune217.0ms

Filtered
108 candidates to 166 candidates (-53.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1660166
Fresh011
Picked011
Done022
Total1664170

Merged error: 0b

Counts
170 → 4

regimes112.0ms

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
0189
1189

end0.0ms

sample291.0ms

Algorithm
intervals
Results
166.0ms8000×body80valid

Profiling

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