Details

Time bar (total: 1.4s)

analyze35.0ms

Algorithm
search

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
0.0msbody80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052
152

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (+ x y))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity sqrt-prod
add-sqr-sqrt
pow1 add-cube-cbrt sqrt-div
add-exp-log rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
1 → 16
Calls
1 calls:
3.0ms
(sqrt (+ x y))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(sqrt (+ x y))

simplify40.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
011587
134085
2130685
3500283

prune29.0ms

Filtered
14 candidates to 19 candidates (-35.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New17219
Fresh000
Picked011
Done000
Total17320

Merged error: 0b

Counts
20 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
69×cbrt-prod
44×add-sqr-sqrt
42×*-un-lft-identity
40×sqrt-prod
22×add-cube-cbrt
18×cbrt-div sqrt-div
14×swap-sqr
11×pow1
10×associate-*r* associate-*l*
flip3-+ pow1/3 flip-+ distribute-lft-out unswap-sqr
add-exp-log
frac-times add-cbrt-cube add-log-exp
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 120
Calls
4 calls:
3.0ms
(cbrt (sqrt (+ x y)))
3.0ms
(cbrt (sqrt (+ x y)))
3.0ms
(cbrt (sqrt (+ x y)))
12.0ms
(* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))

series94.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt (sqrt (+ x y)))
22.0ms
(cbrt (sqrt (+ x y)))
22.0ms
(cbrt (sqrt (+ x y)))
29.0ms
(* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))

simplify48.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03661250
111841182
250021065

prune104.0ms

Filtered
82 candidates to 132 candidates (-61.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1320132
Fresh011
Picked011
Done011
Total1323135

Merged error: 0b

Counts
135 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

2.6b
(+ (pow x 3) (pow y 3))
19.4b
(sqrt (+ (pow x 3) (pow y 3)))
19.5b
(/ (sqrt (+ (pow x 3) (pow y 3))) (sqrt (+ (* x x) (- (* y y) (* x y)))))
26.2b
(sqrt (+ (* x x) (- (* y y) (* x y))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
136×*-un-lft-identity
114×sqrt-prod
72×times-frac
48×add-sqr-sqrt
46×add-cube-cbrt
45×distribute-lft-out
36×unpow-prod-down cube-prod
12×associate-/l*
sum-cubes
sqrt-div
pow1 add-exp-log associate-/r* add-cbrt-cube add-log-exp
flip3-+ flip-+
rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/ associate-/l/
cbrt-undiv +-commutative sqrt-undiv frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 160
Calls
4 calls:
10.0ms
(+ (pow x 3) (pow y 3))
10.0ms
(sqrt (+ (pow x 3) (pow y 3)))
18.0ms
(/ (sqrt (+ (pow x 3) (pow y 3))) (sqrt (+ (* x x) (- (* y y) (* x y)))))
7.0ms
(sqrt (+ (* x x) (- (* y y) (* x y))))

series48.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(+ (pow x 3) (pow y 3))
12.0ms
(sqrt (+ (pow x 3) (pow y 3)))
18.0ms
(/ (sqrt (+ (pow x 3) (pow y 3))) (sqrt (+ (* x x) (- (* y y) (* x y)))))
9.0ms
(sqrt (+ (* x x) (- (* y y) (* x y))))

simplify63.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04172544
117202351
250022340

prune370.0ms

Filtered
89 candidates to 172 candidates (-93.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1720172
Fresh000
Picked011
Done022
Total1723175

Merged error: 0b

Counts
175 → 3

regimes145.0ms

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
052
152

end0.0ms

analyze36.0ms

Algorithm
search

sample273.0ms

Algorithm
intervals
Results
153.0ms8000×body80valid
4.0ms254×body80nan

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