Details

Time bar (total: 1.4s)

analyze33.0ms

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
43.7%56.2%0.1%5
65.6%34.3%0.1%6
76.5%23.4%0.1%7
82%18%0.1%8
87.8%12.1%0.1%9
90.7%9.2%0.1%10
93.8%6.1%0.1%11
95.3%4.6%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
155

prune4.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ y x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
5.0ms
(/ x (+ y x))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(/ x (+ y x))

simplify45.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05000287

prune37.0ms

Filtered
26 candidates to 36 candidates (-38.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New33336
Fresh000
Picked011
Done000
Total33437

Merged error: 0b

Counts
37 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
8.1b
(cbrt (/ x (+ x y)))
8.1b
(cbrt (/ x (+ x y)))
8.1b
(cbrt (/ x (+ x y)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
150×cbrt-prod
128×*-un-lft-identity
102×times-frac
92×add-sqr-sqrt
68×add-cube-cbrt
27×swap-sqr distribute-lft-out
21×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 → 180
Calls
4 calls:
20.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
4.0ms
(cbrt (/ x (+ x y)))
4.0ms
(cbrt (/ x (+ x y)))
5.0ms
(cbrt (/ x (+ x y)))

series103.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
27.0ms
(cbrt (/ x (+ x y)))
23.0ms
(cbrt (/ x (+ x y)))
24.0ms
(cbrt (/ x (+ x y)))

simplify69.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
050382489

prune160.0ms

Filtered
128 candidates to 192 candidates (-50.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1920192
Fresh022
Picked011
Done011
Total1924196

Merged error: 0b

Counts
196 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) x)
0.6b
(/ 1 (/ (+ x y) x))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
92×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
16×distribute-lft-out
15×add-exp-log
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
2 → 121
Calls
2 calls:
5.0ms
(/ (+ x y) x)
7.0ms
(/ 1 (/ (+ x y) x))

series9.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (+ x y) x)
5.0ms
(/ 1 (/ (+ x y) x))

simplify71.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049281283
149281283

prune88.0ms

Filtered
72 candidates to 127 candidates (-76.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1261127
Fresh101
Picked011
Done112
Total1283131

Merged error: 0b

Counts
131 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1 (/ y x))
0.1b
(pow (+ 1 (/ y x)) 3)
0.6b
(/ 1 (cbrt (pow (+ 1 (/ y x)) 3)))
12.6b
(cbrt (pow (+ 1 (/ y x)) 3))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-prod *-un-lft-identity
51×times-frac
44×add-sqr-sqrt add-cube-cbrt
24×unpow-prod-down cube-prod
17×associate-/r*
13×distribute-lft-out
9×add-exp-log
6×pow1 cube-div cube-mult unpow3 add-cbrt-cube add-log-exp sqr-pow
4×cbrt-div flip3-+ flip-+
3×pow-unpow associate-/l*
2×pow-flip pow1/3 div-exp associate-/r/
1×cbrt-undiv +-commutative pow-to-exp rec-exp pow-pow frac-2neg 1-exp pow-exp clear-num sum-log rem-cbrt-cube div-inv inv-pow rem-cube-cbrt
Counts
4 → 154
Calls
4 calls:
5.0ms
(+ 1 (/ y x))
6.0ms
(pow (+ 1 (/ y x)) 3)
11.0ms
(/ 1 (cbrt (pow (+ 1 (/ y x)) 3)))
6.0ms
(cbrt (pow (+ 1 (/ y x)) 3))

series16.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ 1 (/ y x))
5.0ms
(pow (+ 1 (/ y x)) 3)
5.0ms
(/ 1 (cbrt (pow (+ 1 (/ y x)) 3)))
3.0ms
(cbrt (pow (+ 1 (/ y x)) 3))

simplify78.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049171748
149171748

prune120.0ms

Filtered
75 candidates to 166 candidates (-121.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1660166
Fresh000
Picked011
Done022
Total1663169

Merged error: 0b

Counts
169 → 3

regimes99.0ms

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
055
155

end0.0ms

analyze34.0ms

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
43.7%56.2%0.1%5
65.6%34.3%0.1%6
76.5%23.4%0.1%7
82%18%0.1%8
87.8%12.1%0.1%9
90.7%9.2%0.1%10
93.8%6.1%0.1%11
95.3%4.6%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14

sample271.0ms

Algorithm
intervals
Results
153.0ms8000×body80valid

Profiling

Loading profile data...