Details

Time bar (total: 2.3s)

analyze128.0ms

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
49.9%49.9%0.1%5
74.9%25%0.1%6
74.9%25%0.1%7
74.9%25%0.1%8
81.1%18.7%0.1%9
81.1%18.7%0.1%10
81.1%15.6%3.3%11
84.3%10.9%4.8%12
84.3%10.9%4.8%13
84.3%8.6%7.2%14

sample19.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
0.0ms15×body80invalid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
03669
13669

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (/ (* x y) 2.0) (/ z 8.0))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
3×*-un-lft-identity add-log-exp
2×difference-of-squares
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- times-frac diff-log frac-sub add-cbrt-cube flip-- distribute-lft-out--
Counts
1 → 15
Calls
1 calls:
10.0ms
(- (/ (* x y) 2.0) (/ z 8.0))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(- (/ (* x y) 2.0) (/ z 8.0))

simplify37.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05081254

prune30.0ms

Filtered
15 candidates to 18 candidates (-20.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New17118
Fresh000
Picked011
Done000
Total17219

Merged error: 0.0b

Counts
19 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

2.7b
(- (* y (* y (* (/ x 2.0) (/ x 2.0)))) (* z (/ z (* 8.0 8.0))))
3.9b
(* y (* y (* (/ x 2.0) (/ x 2.0))))
9.2b
(* y (* (/ x 2.0) (/ x 2.0)))
27.5b
(/ (- (* y (* y (* (/ x 2.0) (/ x 2.0)))) (* z (/ z (* 8.0 8.0)))) (+ (* x (/ y 2.0)) (/ z 8.0)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log add-cbrt-cube
32×associate-*r/
24×prod-exp cbrt-unprod
18×pow1
15×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
9×cbrt-undiv times-frac div-exp pow-prod-down
6×associate-*l* frac-sub add-log-exp
5×associate-/l/
4×frac-times associate-*l/
3×associate-/r* associate-/r/ associate-/l*
2×flip3-- associate-*r* *-commutative flip--
1×sub-neg frac-2neg flip3-+ diff-log div-sub frac-add clear-num flip-+ div-inv unswap-sqr
Counts
4 → 108
Calls
4 calls:
12.0ms
(- (* y (* y (* (/ x 2.0) (/ x 2.0)))) (* z (/ z (* 8.0 8.0))))
11.0ms
(* y (* y (* (/ x 2.0) (/ x 2.0))))
11.0ms
(* y (* (/ x 2.0) (/ x 2.0)))
22.0ms
(/ (- (* y (* y (* (/ x 2.0) (/ x 2.0)))) (* z (/ z (* 8.0 8.0)))) (+ (* x (/ y 2.0)) (/ z 8.0)))

series54.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(- (* y (* y (* (/ x 2.0) (/ x 2.0)))) (* z (/ z (* 8.0 8.0))))
7.0ms
(* y (* y (* (/ x 2.0) (/ x 2.0))))
7.0ms
(* y (* (/ x 2.0) (/ x 2.0)))
21.0ms
(/ (- (* y (* y (* (/ x 2.0) (/ x 2.0)))) (* z (/ z (* 8.0 8.0)))) (+ (* x (/ y 2.0)) (/ z 8.0)))

simplify49.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
051682309

prune177.0ms

Filtered
75 candidates to 120 candidates (-60.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1182120
Fresh000
Picked011
Done011
Total1184122

Merged error: 0b

Counts
122 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ z (+ (* y (/ x 2.0)) (/ z 8.0))) (/ z (* 8.0 8.0)))
0.1b
(/ y (+ (* y (/ x 2.0)) (/ z 8.0)))
9.2b
(* y (* (/ x 2.0) (/ x 2.0)))
15.0b
(* (/ y (+ (* y (/ x 2.0)) (/ z 8.0))) (* y (* (/ x 2.0) (/ x 2.0))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
101×add-exp-log add-cbrt-cube
47×prod-exp cbrt-unprod
40×add-sqr-sqrt
35×associate-*l*
34×times-frac
29×add-cube-cbrt *-un-lft-identity
26×cbrt-undiv div-exp
20×pow1
19×associate-*r/
10×pow-prod-down
9×associate-*r* associate-/r/
7×frac-times
5×associate-*l/ unswap-sqr
4×div-inv add-log-exp
3×flip3-+ frac-add associate-/r* *-commutative flip-+ associate-/l*
1×frac-2neg clear-num
Counts
4 → 168
Calls
4 calls:
18.0ms
(* (/ z (+ (* y (/ x 2.0)) (/ z 8.0))) (/ z (* 8.0 8.0)))
8.0ms
(/ y (+ (* y (/ x 2.0)) (/ z 8.0)))
9.0ms
(* y (* (/ x 2.0) (/ x 2.0)))
19.0ms
(* (/ y (+ (* y (/ x 2.0)) (/ z 8.0))) (* y (* (/ x 2.0) (/ x 2.0))))

series49.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* (/ z (+ (* y (/ x 2.0)) (/ z 8.0))) (/ z (* 8.0 8.0)))
11.0ms
(/ y (+ (* y (/ x 2.0)) (/ z 8.0)))
7.0ms
(* y (* (/ x 2.0) (/ x 2.0)))
15.0ms
(* (/ y (+ (* y (/ x 2.0)) (/ z 8.0))) (* y (* (/ x 2.0) (/ x 2.0))))

simplify71.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049892982
149892982

prune275.0ms

Filtered
112 candidates to 180 candidates (-60.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1800180
Fresh011
Picked011
Done022
Total1804184

Merged error: 0b

Counts
184 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.9b
(- (* y (* (sqrt y) (* (/ x 2.0) (* (/ x 2.0) (sqrt y))))) (* z (/ z (* 8.0 8.0))))
1.6b
(* (sqrt y) (* (/ x 2.0) (* (/ x 2.0) (sqrt y))))
1.7b
(* y (* (sqrt y) (* (/ x 2.0) (* (/ x 2.0) (sqrt y)))))
14.1b
(/ (- (* y (* (sqrt y) (* (/ x 2.0) (* (/ x 2.0) (sqrt y))))) (* z (/ z (* 8.0 8.0)))) (+ (* x (/ y 2.0)) (/ z 8.0)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log add-cbrt-cube
42×prod-exp cbrt-unprod
32×associate-*r/
27×pow1
16×pow-prod-down
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×associate-*l/
11×cbrt-undiv div-exp
9×times-frac associate-*l*
6×frac-sub add-log-exp
5×associate-/l/
4×frac-times
3×associate-/r* sqrt-prod associate-/r/ associate-/l*
2×flip3-- associate-*r* *-commutative flip--
1×sub-neg frac-2neg flip3-+ diff-log div-sub frac-add clear-num flip-+ div-inv
Counts
4 → 120
Calls
4 calls:
14.0ms
(- (* y (* (sqrt y) (* (/ x 2.0) (* (/ x 2.0) (sqrt y))))) (* z (/ z (* 8.0 8.0))))
15.0ms
(* (sqrt y) (* (/ x 2.0) (* (/ x 2.0) (sqrt y))))
15.0ms
(* y (* (sqrt y) (* (/ x 2.0) (* (/ x 2.0) (sqrt y)))))
24.0ms
(/ (- (* y (* (sqrt y) (* (/ x 2.0) (* (/ x 2.0) (sqrt y))))) (* z (/ z (* 8.0 8.0)))) (+ (* x (/ y 2.0)) (/ z 8.0)))

series76.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(- (* y (* (sqrt y) (* (/ x 2.0) (* (/ x 2.0) (sqrt y))))) (* z (/ z (* 8.0 8.0))))
9.0ms
(* (sqrt y) (* (/ x 2.0) (* (/ x 2.0) (sqrt y))))
10.0ms
(* y (* (sqrt y) (* (/ x 2.0) (* (/ x 2.0) (sqrt y)))))
30.0ms
(/ (- (* y (* (sqrt y) (* (/ x 2.0) (* (/ x 2.0) (sqrt y))))) (* z (/ z (* 8.0 8.0)))) (+ (* x (/ y 2.0)) (/ z 8.0)))

simplify67.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049972565
149972565

prune171.0ms

Filtered
84 candidates to 132 candidates (-57.1%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1320132
Fresh000
Picked011
Done033
Total1324136

Merged error: 0b

Counts
136 → 4

regimes371.0ms

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 (1.0ms)

IterNodesCost
0279
1279

end0.0ms

sample450.0ms

Algorithm
intervals
Results
254.0ms8000×body80valid
16.0ms527×body80invalid

Profiling

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