Details

Time bar (total: 2.2s)

analyze132.0ms

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
0%99.9%0.1%4
0%99.9%0.1%5
18.7%81.1%0.1%6
40.6%59.3%0.1%7
45.2%54.6%0.1%8
65.5%34.3%0.1%9
78%21.8%0.1%10
80%19.5%0.5%11
81.7%17.7%0.5%12
87.9%11.3%0.8%13
88.3%10.1%1.6%14

sample17.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms3×body80invalid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
010027
110027

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt *-un-lft-identity
25×times-frac
13×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×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-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
7.0ms
(/ (- x y) (- z y))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(/ (- x y) (- z y))

simplify53.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04867651
14867651

prune50.0ms

Filtered
37 candidates to 55 candidates (-48.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New52355
Fresh000
Picked011
Done000
Total52456

Merged error: 0b

Counts
56 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
4.5b
(cbrt (/ (- x y) (- z y)))
4.5b
(cbrt (/ (- x y) (- z y)))
4.5b
(cbrt (/ (- x y) (- z y)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
333×*-un-lft-identity
277×cbrt-prod
273×add-sqr-sqrt
229×times-frac
106×distribute-lft-out--
93×add-cube-cbrt
78×difference-of-squares
58×swap-sqr
34×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
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 → 276
Calls
4 calls:
36.0ms
(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
7.0ms
(cbrt (/ (- x y) (- z y)))
7.0ms
(cbrt (/ (- x y) (- z y)))
7.0ms
(cbrt (/ (- x y) (- z y)))

series266.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
61.0ms
(cbrt (/ (- x y) (- z y)))
59.0ms
(cbrt (/ (- x y) (- z y)))
66.0ms
(cbrt (/ (- x y) (- z y)))

simplify101.0ms

Algorithm
egg-herbie
Counts
288 → 288
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
052375454

prune209.0ms

Filtered
176 candidates to 288 candidates (-63.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2880288
Fresh022
Picked011
Done011
Total2884292

Merged error: 0b

Counts
292 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 60
Calls
4 calls:
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- z y))
3.0ms
(cbrt (- z y))
3.0ms
(cbrt (- z y))

series107.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- x y))
26.0ms
(cbrt (- z y))
26.0ms
(cbrt (- z y))
29.0ms
(cbrt (- z y))

simplify43.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05128580

prune74.0ms

Filtered
56 candidates to 72 candidates (-28.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh011
Picked011
Done022
Total72476

Merged error: 0b

Counts
76 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x y) (- z y))
0.2b
(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
4.3b
(sqrt (/ (- x y) (- z y)))
4.3b
(sqrt (/ (- x y) (- z y)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
338×*-un-lft-identity
288×add-sqr-sqrt
248×sqrt-prod
231×times-frac
108×distribute-lft-out--
94×add-cube-cbrt
80×difference-of-squares
60×swap-sqr
34×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×associate-/r* pow-prod-up associate-/l*
4×rem-sqrt-square add-log-exp
3×pow-prod-down pow-sqr
2×associate-/l/
1×cbrt-undiv pow2 frac-times frac-2neg pow-plus sqrt-unprod div-sub associate-*r/ div-exp associate-*l/ prod-exp clear-num rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 303
Calls
4 calls:
8.0ms
(/ (- x y) (- z y))
39.0ms
(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
8.0ms
(sqrt (/ (- x y) (- z y)))
8.0ms
(sqrt (/ (- x y) (- z y)))

series118.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(/ (- x y) (- z y))
10.0ms
(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
45.0ms
(sqrt (/ (- x y) (- z y)))
51.0ms
(sqrt (/ (- x y) (- z y)))

simplify87.0ms

Algorithm
egg-herbie
Counts
315 → 315
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049784238
149784238

prune189.0ms

Filtered
179 candidates to 315 candidates (-76.0%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New3150315
Fresh000
Picked011
Done033
Total3154319

Merged error: 0b

Counts
319 → 4

regimes183.0ms

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
0187
1187

end0.0ms

sample338.0ms

Algorithm
intervals
Results
182.0ms8000×body80valid
5.0ms220×body80invalid

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