Details

Time bar (total: 1.4s)

analyze52.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
50%50%0.1%6
59.3%37.5%3.2%7
70.2%23.4%6.3%8
74.1%17.2%8.7%9
79.2%11.3%9.5%10
81%8.2%10.8%11
83.4%5.6%11%12
84.2%4%11.8%13
85.4%2.8%11.8%14

sample18.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
01275
11275

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
(- (* x y) x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 11
Calls
1 calls:
4.0ms
(- (* x y) x)

series5.0ms

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

simplify48.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04977107
14977107

prune19.0ms

Filtered
10 candidates to 14 candidates (-40.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New12214
Fresh000
Picked011
Done000
Total12315

Merged error: 0.0b

Counts
15 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- (* x y) x))
0.5b
(cbrt (- (* x y) x))
0.5b
(cbrt (- (* x y) x))
0.5b
(* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-- pow1/3 flip--
add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls
4 calls:
4.0ms
(cbrt (- (* x y) x))
4.0ms
(cbrt (- (* x y) x))
4.0ms
(cbrt (- (* x y) x))
11.0ms
(* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))

series63.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(cbrt (- (* x y) x))
14.0ms
(cbrt (- (* x y) x))
16.0ms
(cbrt (- (* x y) x))
19.0ms
(* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))

simplify34.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
050241332

prune107.0ms

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

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh011
Picked011
Done011
Total984102

Merged error: 0.0b

Counts
102 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x y) x)
0.0b
(sqrt (- (* x y) x))
0.0b
(sqrt (- (* x y) x))
0.2b
(* (sqrt (- (* x y) x)) (sqrt (- (* x y) x)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
flip3-- flip--
swap-sqr
add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-up
frac-times unswap-sqr
pow-prod-down pow-sqr
rem-sqrt-square associate-*r/ associate-*l/
pow2 sub-neg pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
4.0ms
(- (* x y) x)
4.0ms
(sqrt (- (* x y) x))
4.0ms
(sqrt (- (* x y) x))
12.0ms
(* (sqrt (- (* x y) x)) (sqrt (- (* x y) x)))

series24.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (* x y) x)
7.0ms
(sqrt (- (* x y) x))
7.0ms
(sqrt (- (* x y) x))
5.0ms
(* (sqrt (- (* x y) x)) (sqrt (- (* x y) x)))

simplify47.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05710972

prune90.0ms

Filtered
65 candidates to 110 candidates (-69.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1091110
Fresh011
Picked011
Done022
Total1095114

Merged error: 0b

Counts
114 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (- (* x y) x)) (fabs (cbrt (- (* x y) x))))
0.2b
(* (* (sqrt (- (* x y) x)) (fabs (cbrt (- (* x y) x)))) (sqrt (cbrt (- (* x y) x))))
0.5b
(cbrt (- (* x y) x))
0.5b
(cbrt (- (* x y) x))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×sqrt-div
12×add-cube-cbrt *-un-lft-identity associate-*r*
11×pow1 add-exp-log add-cbrt-cube
10×cbrt-div associate-*l/ sqrt-prod
cbrt-prod flip3-- flip--
associate-*l*
frac-times pow-prod-down prod-exp cbrt-unprod add-log-exp
pow1/3 associate-*r/ *-commutative unswap-sqr
Counts
4 → 82
Calls
4 calls:
7.0ms
(* (sqrt (- (* x y) x)) (fabs (cbrt (- (* x y) x))))
13.0ms
(* (* (sqrt (- (* x y) x)) (fabs (cbrt (- (* x y) x)))) (sqrt (cbrt (- (* x y) x))))
4.0ms
(cbrt (- (* x y) x))
4.0ms
(cbrt (- (* x y) x))

series77.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (sqrt (- (* x y) x)) (fabs (cbrt (- (* x y) x))))
28.0ms
(* (* (sqrt (- (* x y) x)) (fabs (cbrt (- (* x y) x)))) (sqrt (cbrt (- (* x y) x))))
14.0ms
(cbrt (- (* x y) x))
16.0ms
(cbrt (- (* x y) x))

simplify44.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
051741817

prune108.0ms

Filtered
74 candidates to 94 candidates (-27.0%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New94094
Fresh011
Picked011
Done033
Total94599

Merged error: 0b

Counts
99 → 5

regimes139.0ms

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
0155
1155

end0.0ms

sample443.0ms

Algorithm
intervals
Results
114.0ms8000×body80valid

Profiling

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