Details

Time bar (total: 1.5s)

sample20.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
193
293

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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))

series8.0ms

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

simplify47.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0169288
1510274
21421270
35001270

prune56.0ms

Filtered
48 candidates to 32 candidates (33.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New43548
Fresh000
Picked101
Done000
Total44549

Merged error: 0.0b

Counts
49 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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:
13.0ms
(/ 1 (/ (- x y) (+ x y)))
8.0ms
(/ (- x y) (+ x y))

series17.0ms

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

simplify57.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04861462
121981311
250011167

prune91.0ms

Filtered
180 candidates to 78 candidates (56.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1800180
Fresh044
Picked011
Done000
Total1805185

Merged error: 0.0b

Counts
185 → 5

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))
0.1b
(pow (/ (+ x y) (- x y)) 3)

rewrite37.0ms

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))
7.0ms
(/ (+ x y) (- x y))
9.0ms
(pow (/ (+ x y) (- x y)) 3)

series37.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
12.0ms
(/ (+ x y) (- x y))
13.0ms
(pow (/ (+ x y) (- x y)) 3)

simplify62.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04821409
121281316
250011298

prune117.0ms

Filtered
194 candidates to 86 candidates (55.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1940194
Fresh033
Picked011
Done011
Total1945199

Merged error: 0.0b

Counts
199 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
321×*-un-lft-identity
190×times-frac
183×add-sqr-sqrt
160×cbrt-prod
89×add-cube-cbrt
56×distribute-lft-out
51×swap-sqr
47×distribute-lft-out--
35×difference-of-squares
29×associate-*r* associate-*l*
15×associate-/r*
14×associate-/r/
12×add-exp-log associate-/l*
11×pow1
10×add-cbrt-cube
9×unswap-sqr
7×flip3-- flip-- div-inv
6×pow1/3 associate-/l/
4×cbrt-div add-log-exp
3×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 274
Calls
4 calls:
31.0ms
(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))
7.0ms
(/ (+ x y) (- x y))
7.0ms
(/ (+ x y) (- x y))
7.0ms
(/ (+ x y) (- x y))

series51.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))
8.0ms
(/ (+ x y) (- x y))
8.0ms
(/ (+ x y) (- x y))
8.0ms
(/ (+ x y) (- x y))

simplify74.0ms

Algorithm
egg-herbie
Counts
286 → 286
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
03562754
113122674
250012540

prune186.0ms

Filtered
286 candidates to 170 candidates (40.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2851286
Fresh022
Picked011
Done022
Total2856291

Merged error: 0b

Counts
291 → 6

regimes150.0ms

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
0104
1104

end0.0ms

sample386.0ms

Algorithm
intervals
Results
175.0ms8000×body80valid

Profiling

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