Details

Time bar (total: 2.2s)

sample68.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results
6.0ms256×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0174
1284
2434
3564
4724
51334
62144
72654
82974
92974

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (- 2.0 (+ x y)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
40×add-sqr-sqrt
30×times-frac
19×distribute-lft-out--
14×add-cube-cbrt
13×difference-of-squares
6×associate-/r* distribute-lft-out
5×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 → 58
Calls
1 calls:
9.0ms
(/ (- x y) (- 2.0 (+ x y)))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify115.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0275489
1853468
24104466
35001466

prune67.0ms

Filtered
38 candidates to 61 candidates (-60.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New58361
Fresh000
Picked011
Done000
Total58462

Merged error: 0b

Counts
62 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- 2.0 (+ x y)))
0.1b
(* (- x y) (/ 1 (- 2.0 (+ x y))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
47×add-sqr-sqrt
38×times-frac
24×add-cube-cbrt associate-*r*
15×add-exp-log distribute-lft-out--
9×add-cbrt-cube
8×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×pow1 associate-*l*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod 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 → 98
Calls
2 calls:
7.0ms
(/ 1 (- 2.0 (+ x y)))
15.0ms
(* (- x y) (/ 1 (- 2.0 (+ x y))))

series13.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1 (- 2.0 (+ x y)))
8.0ms
(* (- x y) (/ 1 (- 2.0 (+ x y))))

simplify46.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0364644
11671563
25002513

prune87.0ms

Filtered
56 candidates to 104 candidates (-85.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1040104
Fresh022
Picked011
Done011
Total1044108

Merged error: 0b

Counts
108 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- 2.0 (+ x y)) (+ x y))
2.8b
(- (* x x) (* y y))
26.0b
(/ (- (* x x) (* y y)) (* (- 2.0 (+ x y)) (+ x y)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
11×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
8×frac-times flip3-- associate-/r/ flip--
7×add-cube-cbrt
6×flip3-+ associate-*l* flip-+
5×pow1 add-log-exp
4×times-frac associate-*r/ associate-*r* associate-*l/ associate-/l* difference-of-squares
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out distribute-lft-out--
1×distribute-rgt-in sub-neg frac-2neg distribute-lft-in diff-log div-sub pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
3 → 79
Calls
3 calls:
10.0ms
(* (- 2.0 (+ x y)) (+ x y))
3.0ms
(- (* x x) (* y y))
13.0ms
(/ (- (* x x) (* y y)) (* (- 2.0 (+ x y)) (+ x y)))

series27.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* (- 2.0 (+ x y)) (+ x y))
8.0ms
(- (* x x) (* y y))
13.0ms
(/ (- (* x x) (* y y)) (* (- 2.0 (+ x y)) (+ x y)))

simplify69.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0522740
12794658
25001658

prune120.0ms

Filtered
67 candidates to 88 candidates (-31.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New88088
Fresh011
Picked011
Done022
Total88492

Merged error: 0b

Counts
92 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 2.0 (+ x y)))
0.1b
(/ (sqrt (- x y)) (sqrt (- 2.0 (+ x y))))
0.1b
(/ (sqrt (- x y)) (sqrt (- 2.0 (+ x y))))
0.1b
(* (/ (sqrt (- x y)) (sqrt (- 2.0 (+ x y)))) (/ (sqrt (- x y)) (sqrt (- 2.0 (+ x y)))))

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
1098×*-un-lft-identity
1024×sqrt-prod
738×add-sqr-sqrt
736×times-frac
320×distribute-lft-out--
269×add-cube-cbrt
210×swap-sqr
131×difference-of-squares
107×distribute-lft-out
78×associate-*r* associate-*l*
25×unswap-sqr
20×add-exp-log add-cbrt-cube
18×sqrt-div associate-/r*
16×associate-/l*
12×pow1 associate-/r/
9×flip3-- flip--
6×cbrt-undiv sqrt-undiv div-exp div-inv
4×prod-exp cbrt-unprod associate-/l/ add-log-exp
2×frac-2neg clear-num
1×pow2 frac-times rem-sqrt-square sqrt-pow1 pow-plus pow1/2 sqrt-unprod associate-*r/ pow-prod-down associate-*l/ rem-square-sqrt pow-sqr *-commutative pow-prod-up
Counts
4 → 647
Calls
4 calls:
5.0ms
(sqrt (- 2.0 (+ x y)))
14.0ms
(/ (sqrt (- x y)) (sqrt (- 2.0 (+ x y))))
11.0ms
(/ (sqrt (- x y)) (sqrt (- 2.0 (+ x y))))
102.0ms
(* (/ (sqrt (- x y)) (sqrt (- 2.0 (+ x y)))) (/ (sqrt (- x y)) (sqrt (- 2.0 (+ x y)))))

series111.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(sqrt (- 2.0 (+ x y)))
50.0ms
(/ (sqrt (- x y)) (sqrt (- 2.0 (+ x y))))
46.0ms
(/ (sqrt (- x y)) (sqrt (- 2.0 (+ x y))))
8.0ms
(* (/ (sqrt (- x y)) (sqrt (- 2.0 (+ x y)))) (/ (sqrt (- x y)) (sqrt (- 2.0 (+ x y)))))

simplify122.0ms

Algorithm
egg-herbie
Counts
659 → 659
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
0118211589
150019967

prune543.0ms

Filtered
228 candidates to 659 candidates (-189.0%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New6590659
Fresh000
Picked011
Done033
Total6594663

Merged error: 0b

Counts
663 → 4

regimes108.0ms

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
084
184

end0.0ms

sample369.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results
198.0ms7999×body80valid
0.0ms1×body320valid

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