Details

Time bar (total: 2.1s)

sample153.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 24.21875%

Guaranteed chance to sample good point: 96.923325%

Results
8.0ms256×body80valid
0.0ms3×body80invalid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0143
1203
2223
3223

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.6b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

4.3b
(* x (+ 1.0 (* y y)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
5.0ms
(* x (+ 1.0 (* y y)))

series10.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(* x (+ 1.0 (* y y)))

simplify78.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0144115
1712101
23303100
35003100

prune46.0ms

Filtered
17 candidates to 25 candidates (-47.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New19625
Fresh000
Picked011
Done000
Total19726

Merged error: 4.4b

Counts
26 → 7

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (sqrt (+ 1.0 (* y y))))
0.1b
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
4.3b
(sqrt (+ 1.0 (* y y)))
4.3b
(sqrt (+ 1.0 (* y y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-div
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 83
Calls
4 calls:
6.0ms
(* x (sqrt (+ 1.0 (* y y))))
10.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
2.0ms
(sqrt (+ 1.0 (* y y)))
2.0ms
(sqrt (+ 1.0 (* y y)))

series27.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* x (sqrt (+ 1.0 (* y y))))
10.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
3.0ms
(sqrt (+ 1.0 (* y y)))
4.0ms
(sqrt (+ 1.0 (* y y)))

simplify42.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0306681
11316604
25002594

prune151.0ms

Filtered
66 candidates to 95 candidates (-43.9%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New90595
Fresh235
Picked011
Done011
Total9210102

Merged error: 4.4b

Counts
102 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))
4.3b
(sqrt (+ 1.0 (* y y)))
4.3b
(sqrt (+ 1.0 (* y y)))
4.3b
(sqrt (+ 1.0 (* y y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
24×sqrt-div
18×sqrt-prod
13×add-sqr-sqrt
12×pow1
10×add-cube-cbrt *-un-lft-identity
9×add-exp-log flip3-+ associate-*r* add-cbrt-cube flip-+
8×associate-*r/
4×frac-times add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*l* *-commutative
Counts
4 → 77
Calls
4 calls:
13.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))
2.0ms
(sqrt (+ 1.0 (* y y)))
2.0ms
(sqrt (+ 1.0 (* y y)))
2.0ms
(sqrt (+ 1.0 (* y y)))

series43.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))
3.0ms
(sqrt (+ 1.0 (* y y)))
3.0ms
(sqrt (+ 1.0 (* y y)))
4.0ms
(sqrt (+ 1.0 (* y y)))

simplify42.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0349770
11403731
25001705

prune214.0ms

Filtered
70 candidates to 89 candidates (-27.1%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New89089
Fresh077
Picked011
Done022
Total891099

Merged error: 4.4b

Counts
99 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.8b
(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
4.4b
(cbrt (+ 1.0 (* y y)))
4.4b
(cbrt (+ 1.0 (* y y)))
4.4b
(cbrt (+ 1.0 (* y y)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt flip3-+ flip-+
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×frac-times add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 66
Calls
4 calls:
11.0ms
(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
2.0ms
(cbrt (+ 1.0 (* y y)))
2.0ms
(cbrt (+ 1.0 (* y y)))
2.0ms
(cbrt (+ 1.0 (* y y)))

series66.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
12.0ms
(cbrt (+ 1.0 (* y y)))
12.0ms
(cbrt (+ 1.0 (* y y)))
14.0ms
(cbrt (+ 1.0 (* y y)))

simplify116.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (107.0ms)

IterNodesCost
0341817
11135758
24170688
35002685

prune162.0ms

Filtered
63 candidates to 78 candidates (-23.8%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New78078
Fresh066
Picked011
Done033
Total781088

Merged error: 4.4b

Counts
88 → 10

regimes338.0ms

Accuracy

0% (0.2b remaining)

Error of 5.4b against oracle of 5.2b and baseline of 5.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118
1118

end0.0ms

sample490.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 24.21875%

Guaranteed chance to sample good point: 96.923325%

Results
182.0ms8000×body80valid
2.0ms81×body80invalid

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