Details

Time bar (total: 1.8s)

sample109.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 43.75%

Guaranteed chance to sample good point: 96.896701%

Results
6.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163

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 x) (* y y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
3.0ms
(+ (* x x) (* y y))

series5.0ms

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

simplify41.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010177
146566
2124066
3500166

prune21.0ms

Filtered
11 candidates to 14 candidates (-27.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New12214
Fresh000
Picked011
Done000
Total12315

Merged error: 0.0b

Counts
15 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
5.6b
(cbrt (+ (* x x) (* y y)))
5.6b
(cbrt (+ (* x x) (* y y)))
5.6b
(cbrt (+ (* x x) (* y y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
11.0ms
(* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
3.0ms
(cbrt (+ (* x x) (* y y)))
3.0ms
(cbrt (+ (* x x) (* y y)))
3.0ms
(cbrt (+ (* x x) (* y y)))

series89.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
23.0ms
(cbrt (+ (* x x) (* y y)))
21.0ms
(cbrt (+ (* x x) (* y y)))
22.0ms
(cbrt (+ (* x x) (* y y)))

simplify119.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
02641051
1906986
23837912
35002878

prune128.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh011
Picked011
Done011
Total984102

Merged error: 0.0b

Counts
102 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

5.6b
(cbrt (+ (* x x) (* y y)))
5.6b
(cbrt (+ (* x x) (* y y)))
5.6b
(cbrt (+ (* x x) (* y y)))
5.6b
(cbrt (+ (* x x) (* y y)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 52
Calls
4 calls:
3.0ms
(cbrt (+ (* x x) (* y y)))
3.0ms
(cbrt (+ (* x x) (* y y)))
3.0ms
(cbrt (+ (* x x) (* y y)))
3.0ms
(cbrt (+ (* x x) (* y y)))

series85.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt (+ (* x x) (* y y)))
22.0ms
(cbrt (+ (* x x) (* y y)))
21.0ms
(cbrt (+ (* x x) (* y y)))
21.0ms
(cbrt (+ (* x x) (* y y)))

simplify43.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
0151560
1426524
21226500
35002468

prune81.0ms

Filtered
56 candidates to 64 candidates (-14.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh011
Picked011
Done022
Total64468

Merged error: 0.0b

Counts
68 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* y y))
0.1b
(* (neg (pow y 3)) y)
0.9b
(+ (* (neg (pow y 3)) y) (pow x 4))
31.0b
(/ (+ (* (neg (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
28×associate-*l*
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
12×distribute-lft-neg-in distribute-rgt-neg-in times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1 unpow-prod-down cube-prod
5×difference-of-squares
4×associate-/r*
3×associate-*r* associate-/l*
2×cube-mult flip3-- flip3-+ unpow3 associate-/r/ flip-- flip-+ associate-/l/ sqr-pow
1×cbrt-undiv +-commutative distribute-lft-neg-out neg-mul-1 sub-neg frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 103
Calls
4 calls:
3.0ms
(- (* x x) (* y y))
7.0ms
(* (neg (pow y 3)) y)
6.0ms
(+ (* (neg (pow y 3)) y) (pow x 4))
13.0ms
(/ (+ (* (neg (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))

series31.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- (* x x) (* y y))
4.0ms
(* (neg (pow y 3)) y)
8.0ms
(+ (* (neg (pow y 3)) y) (pow x 4))
13.0ms
(/ (+ (* (neg (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))

simplify81.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0391841
12274726
25002717

prune166.0ms

Filtered
88 candidates to 115 candidates (-30.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1150115
Fresh000
Picked011
Done033
Total1154119

Merged error: 0.0b

Counts
119 → 4

regimes194.0ms

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
063
163

end0.0ms

sample471.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 43.75%

Guaranteed chance to sample good point: 96.896701%

Results
189.0ms8000×body80valid
0.0ms1×body80invalid

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