Details

Time bar (total: 1.3s)

analyze34.0ms

Algorithm
search

sample16.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052
152

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ x y))

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 (+ x y))

series5.0ms

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

simplify77.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0118153
1378144
21010144
33606144
45001144

prune38.0ms

Filtered
25 candidates to 36 candidates (-44.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New33336
Fresh000
Picked011
Done000
Total33437

Merged error: 0.0b

Counts
37 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ x y))
0.2b
(* x (/ 1 (+ x y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
27×add-sqr-sqrt
26×times-frac
20×add-cube-cbrt
18×associate-*r*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out
5×pow1
4×div-exp prod-exp associate-/r* associate-/r/
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 78
Calls
2 calls:
5.0ms
(/ 1 (+ x y))
10.0ms
(* x (/ 1 (+ x y)))

series10.0ms

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

simplify58.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0226344
1996294
23429256
35001256

prune57.0ms

Filtered
42 candidates to 84 candidates (-100.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh112
Picked011
Done011
Total84488

Merged error: 0.0b

Counts
88 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x y))
0.1b
(pow (/ x (+ x y)) 3)
14.5b
(cbrt (pow (/ x (+ x y)) 3))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity
60×times-frac
46×add-sqr-sqrt add-cube-cbrt
42×cbrt-prod
36×unpow-prod-down cube-prod
16×distribute-lft-out
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-+ flip-+ div-inv
4×pow1 associate-/r*
3×pow-unpow associate-/l* add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num rem-cbrt-cube
Counts
3 → 141
Calls
3 calls:
5.0ms
(/ x (+ x y))
7.0ms
(pow (/ x (+ x y)) 3)
8.0ms
(cbrt (pow (/ x (+ x y)) 3))

series25.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ x (+ x y))
14.0ms
(pow (/ x (+ x y)) 3)
6.0ms
(cbrt (pow (/ x (+ x y)) 3))

simplify53.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0387800
11768725
25002717

prune97.0ms

Filtered
69 candidates to 150 candidates (-117.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1500150
Fresh011
Picked011
Done022
Total1504154

Merged error: 0.0b

Counts
154 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (+ x y) 3)
0.2b
(* x (cbrt (/ 1 (pow (+ x y) 3))))
0.4b
(/ 1 (pow (+ x y) 3))
37.9b
(cbrt (/ 1 (pow (+ x y) 3)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
134×times-frac
132×*-un-lft-identity
106×add-sqr-sqrt
105×cbrt-prod
84×add-cube-cbrt
51×associate-*r*
46×unpow-prod-down cube-prod
22×distribute-lft-out
16×add-exp-log
14×associate-/r*
13×sqr-pow
11×cube-mult unpow3
10×unswap-sqr
8×cube-div add-cbrt-cube
7×pow1
6×div-exp associate-/r/
4×pow-to-exp flip3-+ pow-exp flip-+ add-log-exp
3×rec-exp pow-unpow 1-exp associate-*l* div-inv associate-/l*
2×cbrt-div
1×cbrt-undiv pow-flip pow-pow frac-2neg pow1/3 associate-*r/ pow-prod-down prod-exp clear-num *-commutative cbrt-unprod inv-pow rem-cube-cbrt
Counts
4 → 243
Calls
4 calls:
5.0ms
(pow (+ x y) 3)
18.0ms
(* x (cbrt (/ 1 (pow (+ x y) 3))))
10.0ms
(/ 1 (pow (+ x y) 3))
8.0ms
(cbrt (/ 1 (pow (+ x y) 3)))

series31.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(pow (+ x y) 3)
8.0ms
(* x (cbrt (/ 1 (pow (+ x y) 3))))
9.0ms
(/ 1 (pow (+ x y) 3))
7.0ms
(cbrt (/ 1 (pow (+ x y) 3)))

simplify72.0ms

Algorithm
egg-herbie
Counts
255 → 255
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04611641
120431257
250031228

prune187.0ms

Filtered
102 candidates to 255 candidates (-150.0%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2550255
Fresh000
Picked011
Done033
Total2554259

Merged error: 0.0b

Counts
259 → 4

regimes117.0ms

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
052
152

end0.0ms

analyze33.0ms

Algorithm
search

sample271.0ms

Algorithm
intervals
Results
154.0ms8000×body80valid

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