Details

Time bar (total: 1.6s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
193
293

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))

simplify45.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0169288
1510274
21421270
35001270

prune52.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New42648
Fresh000
Picked101
Done000
Total43649

Merged error: 0.0b

Counts
49 → 6

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))

series16.0ms

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

simplify54.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04861462
121981311
250011167

prune85.0ms

Filtered
76 candidates to 180 candidates (-136.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1791180
Fresh235
Picked101
Done000
Total1824186

Merged error: 0.0b

Counts
186 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (cbrt (pow (/ (- x y) (+ x y)) 3)))
0.0b
(/ (- x y) (+ x y))
0.0b
(cbrt (pow (/ (- x y) (+ x y)) 3))
0.0b
(pow (/ (- x y) (+ x y)) 3)

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
445×*-un-lft-identity
443×times-frac
313×add-sqr-sqrt
290×cbrt-prod
207×add-cube-cbrt
156×unpow-prod-down cube-prod
66×distribute-lft-out
65×associate-/r*
53×distribute-lft-out-- difference-of-squares
27×associate-/r/
14×div-inv
13×add-exp-log flip3-+ flip-+
10×add-cbrt-cube
8×associate-/l*
6×pow1 cube-mult unpow3 sqr-pow
4×div-exp add-log-exp
3×cbrt-undiv cube-div pow-unpow
2×cbrt-div pow-flip frac-2neg pow1/3 pow-exp clear-num associate-/l/ rem-cube-cbrt
1×pow-to-exp rec-exp flip3-- pow-pow 1-exp div-sub flip-- rem-cbrt-cube inv-pow
Counts
4 → 451
Calls
4 calls:
22.0ms
(/ 1 (cbrt (pow (/ (- x y) (+ x y)) 3)))
7.0ms
(/ (- x y) (+ x y))
10.0ms
(cbrt (pow (/ (- x y) (+ x y)) 3))
9.0ms
(pow (/ (- x y) (+ x y)) 3)

series52.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(/ 1 (cbrt (pow (/ (- x y) (+ x y)) 3)))
8.0ms
(/ (- x y) (+ x y))
17.0ms
(cbrt (pow (/ (- x y) (+ x y)) 3))
12.0ms
(pow (/ (- x y) (+ x y)) 3)

simplify109.0ms

Algorithm
egg-herbie
Counts
463 → 463
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
07274513
132213471
250013440

prune199.0ms

Filtered
144 candidates to 463 candidates (-221.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New4630463
Fresh033
Picked011
Done000
Total4634467

Merged error: 0.0b

Counts
467 → 4

localize8.0ms

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))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
9.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))

series129.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
30.0ms
(cbrt (+ x y))
29.0ms
(cbrt (+ x y))
32.0ms
(cbrt (+ x y))

simplify122.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (113.0ms)

IterNodesCost
0284746
1846709
23879634
35002621

prune92.0ms

Filtered
75 candidates to 107 candidates (-42.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1061107
Fresh022
Picked011
Done011
Total1065111

Merged error: 0b

Counts
111 → 5

regimes118.0ms

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
0136
1136

end0.0ms

sample363.0ms

Algorithm
intervals
Results
164.0ms8000×body80valid

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