Details

Time bar (total: 2.4s)

analyze389.0ms

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
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
40.6%56.9%2.5%9
46%49.5%4.4%10
50.3%44.9%4.8%11
60.3%30.5%9.2%12
62.9%25.7%11.4%13
65.2%23.2%11.7%14

sample28.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
2.0ms35×body80invalid

simplify107.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (44.0ms)

IterNodesCost
0226
1466
21116
32376
44056
55956
69196
726275
850015

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
2×associate-+r+
1×pow1 add-exp-log +-commutative distribute-rgt-in add-sqr-sqrt add-cube-cbrt *-un-lft-identity distribute-lft-in flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 13
Calls
1 calls:
3.0ms
(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

simplify61.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0118123
1429112
22049106
35001106

prune31.0ms

Filtered
13 candidates to 16 candidates (-23.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New15116
Fresh000
Picked011
Done000
Total15217

Merged error: 0b

Counts
17 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)
0.1b
(* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0))
3.4b
(- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)
22.0b
(/ (+ (pow 1.0 3) (pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)) (+ (* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)) (* 1.0 1.0)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
16×add-sqr-sqrt add-cube-cbrt
15×times-frac
14×add-exp-log add-cbrt-cube
12×pow1
10×associate-*r/
7×distribute-rgt-in distribute-lft-in
6×flip3-+ associate--l+ flip-+ add-log-exp
5×associate-/l*
4×frac-times flip3-- pow-prod-down prod-exp sum-cubes flip-- cbrt-unprod distribute-lft-out
3×sub-neg pow-unpow associate-*r* associate-/r*
2×cube-div pow-pow associate-*l/ pow-exp associate-/r/ associate-/l/ rem-cube-cbrt
1×cbrt-undiv cube-mult pow-to-exp unpow-prod-down frac-2neg diff-log unpow3 cube-prod div-exp associate-*l* clear-num *-commutative div-inv sqr-pow
Counts
4 → 111
Calls
4 calls:
11.0ms
(pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)
28.0ms
(* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0))
11.0ms
(- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)
38.0ms
(/ (+ (pow 1.0 3) (pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)) (+ (* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)) (* 1.0 1.0)))

series163.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)
22.0ms
(* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0))
9.0ms
(- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)
96.0ms
(/ (+ (pow 1.0 3) (pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)) (+ (* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)) (* 1.0 1.0)))

simplify141.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (116.0ms)

IterNodesCost
06752125
137401950
250021944

prune304.0ms

Filtered
85 candidates to 123 candidates (-44.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1230123
Fresh000
Picked011
Done011
Total1232125

Merged error: 0b

Counts
125 → 2

regimes123.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145
1145

end0.0ms

analyze343.0ms

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
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
40.6%56.9%2.5%9
46%49.5%4.4%10
50.3%44.9%4.8%11
60.3%30.5%9.2%12
62.9%25.7%11.4%13
65.2%23.2%11.7%14

sample597.0ms

Algorithm
intervals
Results
345.0ms8000×body80valid
43.0ms968×body80invalid

Profiling

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