Details

Time bar (total: 1.5s)

sample132.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 27.453613%

Guaranteed chance to sample good point: 97.72842%

Results
7.0ms256×body80valid
0.0ms5×body80invalid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0183
1363
2583
3603
4603

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* x (+ x y)) 2.0)
0.0b
(* x (+ x y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity associate-*r*
5×add-cube-cbrt
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
2×flip3-+ associate-*l/ *-commutative flip-+ add-log-exp
1×distribute-rgt-in distribute-lft-in distribute-lft-out unswap-sqr
Counts
2 → 43
Calls
2 calls:
7.0ms
(* (* x (+ x y)) 2.0)
6.0ms
(* x (+ x y))

series10.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* (* x (+ x y)) 2.0)
4.0ms
(* x (+ x y))

simplify36.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0201193
11117164
25002164

prune49.0ms

Filtered
30 candidates to 49 candidates (-63.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New46349
Fresh101
Picked101
Done000
Total48351

Merged error: 0b

Counts
51 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (* (+ x y) 2.0))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r/ associate-*l/
1×flip3-+ associate-*r* *-commutative flip-+ add-log-exp
Counts
1 → 20
Calls
1 calls:
7.0ms
(* x (* (+ x y) 2.0))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* x (* (+ x y) 2.0))

simplify82.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0148106
159187
2322087
3500287

prune27.0ms

Filtered
16 candidates to 23 candidates (-43.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New23023
Fresh022
Picked011
Done000
Total23326

Merged error: 0b

Counts
26 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (+ x y))
0.3b
(* (sqrt (* (* x (+ x y)) 2.0)) (sqrt (* (* x (+ x y)) 2.0)))
5.4b
(sqrt (* (* x (+ x y)) 2.0))
5.4b
(sqrt (* (* x (+ x y)) 2.0))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
145×pow1
78×pow-prod-down
66×sqrt-pow1
20×associate-*r/
18×associate-*l/
17×pow-prod-up
16×sqrt-div
14×add-sqr-sqrt pow1/2
12×*-un-lft-identity
11×pow-sqr
10×add-cube-cbrt
9×flip3-+ flip-+
8×add-exp-log associate-*r* add-cbrt-cube
7×associate-*l*
6×sqrt-prod
4×frac-times swap-sqr add-log-exp
2×prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out
Counts
4 → 125
Calls
4 calls:
6.0ms
(* x (+ x y))
17.0ms
(* (sqrt (* (* x (+ x y)) 2.0)) (sqrt (* (* x (+ x y)) 2.0)))
6.0ms
(sqrt (* (* x (+ x y)) 2.0))
6.0ms
(sqrt (* (* x (+ x y)) 2.0))

series49.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* x (+ x y))
12.0ms
(* (sqrt (* (* x (+ x y)) 2.0)) (sqrt (* (* x (+ x y)) 2.0)))
17.0ms
(sqrt (* (* x (+ x y)) 2.0))
15.0ms
(sqrt (* (* x (+ x y)) 2.0))

simplify63.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0305684
11576606
25001574

prune121.0ms

Filtered
69 candidates to 137 candidates (-98.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1370137
Fresh011
Picked011
Done011
Total1373140

Merged error: 0b

Counts
140 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (/ (* x (- (* x x) (* y y))) (- x y)) 2.0)
6.1b
(* x (- (* x x) (* y y)))
18.6b
(/ (* x (- (* x x) (* y y))) (- x y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
19×add-exp-log add-cbrt-cube
16×*-un-lft-identity
14×associate-*l*
10×add-cube-cbrt times-frac
7×pow1 associate-*r*
6×prod-exp cbrt-unprod
5×associate-/r*
4×cbrt-undiv flip3-- associate-*r/ div-exp associate-/r/ flip-- difference-of-squares
3×distribute-lft-out-- add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in pow-prod-down *-commutative div-inv associate-/l/ unswap-sqr
1×frac-2neg associate-*l/ clear-num associate-/l*
Counts
3 → 85
Calls
3 calls:
11.0ms
(* (/ (* x (- (* x x) (* y y))) (- x y)) 2.0)
6.0ms
(* x (- (* x x) (* y y)))
10.0ms
(/ (* x (- (* x x) (* y y))) (- x y))

series34.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(* (/ (* x (- (* x x) (* y y))) (- x y)) 2.0)
8.0ms
(* x (- (* x x) (* y y)))
14.0ms
(/ (* x (- (* x x) (* y y))) (- x y))

simplify63.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0400714
12178591
25003591

prune70.0ms

Filtered
61 candidates to 94 candidates (-54.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New94094
Fresh000
Picked011
Done022
Total94397

Merged error: 0b

Counts
97 → 3

regimes70.0ms

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
093
193

end0.0ms

sample529.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 27.453613%

Guaranteed chance to sample good point: 97.72842%

Results
223.0ms8000×body80valid
2.0ms80×body80invalid

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