Details

Time bar (total: 3.3s)

sample279.0ms

Algorithm
intervals
Results
8.0ms336×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
072
1152
2152

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
associate-*l*
pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
associate-*l/
flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
9.0ms
(* (+ x y) z)

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(* (+ x y) z)

simplify41.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010684
141172
2181172
3500372

prune48.0ms

Filtered
24 candidates to 16 candidates (66.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New22224
Fresh000
Picked011
Done000
Total22325

Merged error: 0.0b

Counts
25 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
associate-*r* associate-*l*
add-exp-log
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
11.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))

series537.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
126.0ms
(cbrt (+ x y))
121.0ms
(cbrt (+ x y))
129.0ms
(cbrt (+ x y))

simplify154.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (145.0ms)

IterNodesCost
0246671
1881634
24190584
35001580

prune212.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1061107
Fresh011
Picked011
Done011
Total1064110

Merged error: 0.0b

Counts
110 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
0.0b
(sqrt (+ x y))
0.1b
(* (sqrt (+ x y)) z)
0.2b
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×sqrt-div
17×add-sqr-sqrt sqrt-prod
14×associate-*l*
13×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*l/
flip3-+ flip-+
frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod distribute-lft-out add-log-exp
rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ *-commutative unswap-sqr
Counts
4 → 87
Calls
4 calls:
3.0ms
(sqrt (+ x y))
3.0ms
(sqrt (+ x y))
7.0ms
(* (sqrt (+ x y)) z)
12.0ms
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

series161.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(sqrt (+ x y))
36.0ms
(sqrt (+ x y))
52.0ms
(* (sqrt (+ x y)) z)
40.0ms
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

simplify95.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0315563
11044483
24230470
35001470

prune163.0ms

Filtered
99 candidates to 69 candidates (69.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh011
Picked011
Done112
Total994103

Merged error: 0b

Counts
103 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (+ x y)))
0.1b
(* (sqrt (+ x y)) z)
0.2b
(* (sqrt (sqrt (+ x y))) (* (sqrt (+ x y)) z))
0.2b
(* (sqrt (sqrt (+ x y))) (* (sqrt (sqrt (+ x y))) (* (sqrt (+ x y)) z)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
114×sqrt-div
39×sqrt-prod
36×associate-*l/
35×flip3-+ flip-+
32×frac-times
27×associate-*l*
23×*-un-lft-identity
22×pow1
21×add-sqr-sqrt
20×add-exp-log add-cbrt-cube
16×associate-*r/
15×add-cube-cbrt
10×pow-prod-down prod-exp cbrt-unprod
associate-*r*
sqrt-pow1 distribute-lft-out add-log-exp
*-commutative
rem-sqrt-square pow1/2 unswap-sqr
Counts
4 → 134
Calls
4 calls:
4.0ms
(sqrt (sqrt (+ x y)))
7.0ms
(* (sqrt (+ x y)) z)
13.0ms
(* (sqrt (sqrt (+ x y))) (* (sqrt (+ x y)) z))
20.0ms
(* (sqrt (sqrt (+ x y))) (* (sqrt (sqrt (+ x y))) (* (sqrt (+ x y)) z)))

series552.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(sqrt (sqrt (+ x y)))
54.0ms
(* (sqrt (+ x y)) z)
280.0ms
(* (sqrt (sqrt (+ x y))) (* (sqrt (+ x y)) z))
39.0ms
(* (sqrt (sqrt (+ x y))) (* (sqrt (sqrt (+ x y))) (* (sqrt (+ x y)) z)))

simplify69.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
06351531
122121284
250021227

prune303.0ms

Filtered
146 candidates to 99 candidates (67.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1460146
Fresh011
Picked011
Done022
Total1464150

Merged error: 0b

Counts
150 → 4

regimes112.0ms

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
072
172

end0.0ms

sample385.0ms

Algorithm
intervals
Results
193.0ms10078×body80valid

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