Details

Time bar (total: 1.6s)

analyze65.0ms

Algorithm
search

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163

prune4.0ms

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:
4.0ms
(+ (* x x) (* y y))

series6.0ms

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

simplify40.0ms

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

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
8.3b
(cbrt (+ (* x x) (* y y)))
8.3b
(cbrt (+ (* x x) (* y y)))
8.3b
(cbrt (+ (* x x) (* y y)))

rewrite22.0ms

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:
10.0ms
(* (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)))

series86.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
21.0ms
(cbrt (+ (* x x) (* y y)))
20.0ms
(cbrt (+ (* x x) (* y y)))
23.0ms
(cbrt (+ (* x x) (* y y)))

simplify113.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
02641051
1906986
23837912
35002878

prune98.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New98199
Fresh011
Picked101
Done011
Total993102

Merged error: 0b

Counts
102 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (pow (pow (sqrt (cbrt (+ (* x x) (* y y)))) 4) 1) (cbrt (+ (* x x) (* y y))))
0.9b
(pow (sqrt (cbrt (+ (* x x) (* y y)))) 4)
8.3b
(cbrt (+ (* x x) (* y y)))
8.3b
(cbrt (+ (* x x) (* y y)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
47×unpow-prod-down
41×add-sqr-sqrt
24×cbrt-prod
17×add-cube-cbrt *-un-lft-identity associate-*l*
16×sqrt-prod
14×unswap-sqr
13×add-exp-log
7×pow1 sqr-pow
6×cbrt-div associate-*r*
5×pow-exp prod-exp add-cbrt-cube
4×pow-pow add-log-exp
3×pow-to-exp pow-unpow flip3-+ pow1/3 flip-+
2×sqrt-pow1 associate-*r/
1×pow1/2 pow-prod-down *-commutative sqrt-pow2 cbrt-unprod
Counts
4 → 107
Calls
4 calls:
17.0ms
(* (pow (pow (sqrt (cbrt (+ (* x x) (* y y)))) 4) 1) (cbrt (+ (* x x) (* y y))))
6.0ms
(pow (sqrt (cbrt (+ (* x x) (* y y)))) 4)
3.0ms
(cbrt (+ (* x x) (* y y)))
3.0ms
(cbrt (+ (* x x) (* y y)))

series83.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (pow (pow (sqrt (cbrt (+ (* x x) (* y y)))) 4) 1) (cbrt (+ (* x x) (* y y))))
32.0ms
(pow (sqrt (cbrt (+ (* x x) (* y y)))) 4)
21.0ms
(cbrt (+ (* x x) (* y y)))
21.0ms
(cbrt (+ (* x x) (* y y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04271436
117641189
250011021

prune159.0ms

Filtered
88 candidates to 119 candidates (-35.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1190119
Fresh011
Picked011
Done011
Total1193122

Merged error: 0b

Counts
122 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (pow x 2) (pow y 2))
0.2b
(pow (+ (pow x 2) (pow y 2)) 3)
36.3b
(cbrt (pow (+ (pow x 2) (pow y 2)) 3))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
20×unpow-prod-down
16×cbrt-prod
10×cube-prod distribute-lft-out
9×add-sqr-sqrt add-cube-cbrt
5×add-log-exp
4×pow1 add-exp-log cube-div add-cbrt-cube
3×pow-unpow flip3-+ flip-+
2×cube-mult cbrt-div unpow3 sqr-pow
1×+-commutative pow-to-exp pow-pow pow1/3 pow-exp sum-log rem-cbrt-cube rem-cube-cbrt
Counts
3 → 69
Calls
3 calls:
7.0ms
(+ (pow x 2) (pow y 2))
8.0ms
(pow (+ (pow x 2) (pow y 2)) 3)
10.0ms
(cbrt (pow (+ (pow x 2) (pow y 2)) 3))

series25.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (pow x 2) (pow y 2))
13.0ms
(pow (+ (pow x 2) (pow y 2)) 3)
6.0ms
(cbrt (pow (+ (pow x 2) (pow y 2)) 3))

simplify41.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0223451
11200423
25001415

prune95.0ms

Filtered
40 candidates to 78 candidates (-95.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New78078
Fresh000
Picked011
Done022
Total78381

Merged error: 0b

Counts
81 → 3

regimes183.0ms

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

analyze56.0ms

Algorithm
search

sample297.0ms

Algorithm
intervals
Results
183.0ms8000×body80valid
0.0ms2×body80invalid

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