Details

Time bar (total: 1.7s)

analyze24.0ms

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

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
167

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))

simplify41.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05062533

prune53.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New44448
Fresh000
Picked011
Done000
Total44549

Merged error: 0.0b

Counts
49 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x y) (- x y))
0.1b
(pow (/ (+ x y) (- x y)) 3)
0.1b
(cbrt (pow (/ (+ x y) (- x y)) 3))

rewrite35.0ms

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:
7.0ms
(/ (+ x y) (- x y))
9.0ms
(pow (/ (+ x y) (- x y)) 3)
10.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))

series31.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(/ (+ x y) (- x y))
12.0ms
(pow (/ (+ x y) (- x y)) 3)
11.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))

simplify42.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
050272497

prune134.0ms

Filtered
85 candidates to 194 candidates (-128.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1931194
Fresh033
Picked011
Done011
Total1936199

Merged error: 0b

Counts
199 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
306×*-un-lft-identity
238×cbrt-prod
190×times-frac
174×add-sqr-sqrt
86×add-cube-cbrt
53×distribute-lft-out
51×swap-sqr
44×distribute-lft-out--
32×difference-of-squares
29×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 → 244
Calls
4 calls:
30.0ms
(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))
6.0ms
(cbrt (/ (+ x y) (- x y)))
6.0ms
(cbrt (/ (+ x y) (- x y)))
6.0ms
(cbrt (/ (+ x y) (- x y)))

series106.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))
26.0ms
(cbrt (/ (+ x y) (- x y)))
30.0ms
(cbrt (/ (+ x y) (- x y)))
26.0ms
(cbrt (/ (+ x y) (- x y)))

simplify89.0ms

Algorithm
egg-herbie
Counts
256 → 256
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049374439
149374439

prune172.0ms

Filtered
149 candidates to 256 candidates (-71.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2560256
Fresh033
Picked011
Done022
Total2566262

Merged error: 0b

Counts
262 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x y))
0.6b
(pow (cbrt (- x y)) 6)
0.8b
(/ 1 (pow (cbrt (- x y)) 6))
28.7b
(cbrt (/ 1 (pow (cbrt (- x y)) 6)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
85×cbrt-prod
73×add-sqr-sqrt *-un-lft-identity
72×times-frac
64×unpow-prod-down
55×add-cube-cbrt
14×add-exp-log
12×associate-/r*
9×distribute-lft-out-- difference-of-squares
8×sqr-pow
6×div-exp add-cbrt-cube
5×pow1
4×pow-to-exp pow-exp add-log-exp
3×rec-exp pow-unpow cbrt-div pow1/3 1-exp associate-/l*
2×pow-pow div-inv
1×cbrt-undiv flip3-- pow-flip frac-2neg clear-num flip-- inv-pow
Counts
4 → 160
Calls
4 calls:
3.0ms
(cbrt (- x y))
5.0ms
(pow (cbrt (- x y)) 6)
7.0ms
(/ 1 (pow (cbrt (- x y)) 6))
7.0ms
(cbrt (/ 1 (pow (cbrt (- x y)) 6)))

series103.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt (- x y))
42.0ms
(pow (cbrt (- x y)) 6)
7.0ms
(/ 1 (pow (cbrt (- x y)) 6))
30.0ms
(cbrt (/ 1 (pow (cbrt (- x y)) 6)))

simplify67.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049191662
149191662

prune149.0ms

Filtered
68 candidates to 172 candidates (-152.9%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1720172
Fresh022
Picked011
Done033
Total1726178

Merged error: 0b

Counts
178 → 6

regimes131.0ms

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
067
167

end0.0ms

analyze25.0ms

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

sample296.0ms

Algorithm
intervals
Results
174.0ms8000×body80valid

Profiling

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