Details

Time bar (total: 1.4s)

sample24.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
4.0ms231×body80nan

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
4×*-un-lft-identity sqrt-prod
3×add-sqr-sqrt
2×pow1 add-cube-cbrt sqrt-div
1×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))

simplify39.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
011587
134085
2130685
3500283

prune28.0ms

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

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))
0.6b
(cbrt (sqrt (+ x y)))
0.6b
(cbrt (sqrt (+ x y)))
0.6b
(cbrt (sqrt (+ x y)))

rewrite26.0ms

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*
9×flip3-+ pow1/3 flip-+ distribute-lft-out unswap-sqr
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 120
Calls
4 calls:
12.0ms
(* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))
3.0ms
(cbrt (sqrt (+ x y)))
3.0ms
(cbrt (sqrt (+ x y)))
3.0ms
(cbrt (sqrt (+ x y)))

series90.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))
21.0ms
(cbrt (sqrt (+ x y)))
24.0ms
(cbrt (sqrt (+ x y)))
21.0ms
(cbrt (sqrt (+ x y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03661250
111771182
250021065

prune109.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (+ x y))
0.5b
(pow (sqrt (+ x y)) 3)
18.0b
(cbrt (pow (sqrt (+ x y)) 3))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
20×cbrt-prod sqrt-prod
15×add-sqr-sqrt
14×add-cube-cbrt unpow-prod-down cube-prod
6×pow1 sqrt-div
5×distribute-lft-out
4×add-exp-log cube-div add-cbrt-cube
3×pow-unpow pow-pow flip3-+ flip-+ add-log-exp
2×cube-mult cbrt-div sqrt-pow1 pow1/2 unpow3 sqr-pow
1×pow-to-exp rem-sqrt-square pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
3 → 83
Calls
3 calls:
3.0ms
(sqrt (+ x y))
5.0ms
(pow (sqrt (+ x y)) 3)
5.0ms
(cbrt (pow (sqrt (+ x y)) 3))

series30.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(sqrt (+ x y))
18.0ms
(pow (sqrt (+ x y)) 3)
6.0ms
(cbrt (pow (sqrt (+ x y)) 3))

simplify39.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0297431
11070406
25001395

prune73.0ms

Filtered
47 candidates to 92 candidates (-95.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New92092
Fresh000
Picked011
Done022
Total92395

Merged error: 0b

Counts
95 → 3

regimes149.0ms

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

sample739.0ms

Algorithm
intervals
Results
166.0ms8000×body80valid
154.0ms8040×body80nan

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