Details

Time bar (total: 2.0s)

analyze224.0ms

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
31.2%68.6%0.1%7
37.4%62.4%0.1%8
40.6%57.7%1.7%9
54.6%41.3%4%10
59.3%36.7%4%11
61.6%32.6%5.8%12
68.3%22.7%9%13
71%20%9%14

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
0.0ms22×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0165
1165

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

3.9b
(* x (/ y z))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
add-cube-cbrt *-un-lft-identity
add-exp-log add-cbrt-cube
pow1 associate-*l*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
6.0ms
(* x (/ y z))

series5.0ms

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

simplify34.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05166230

prune55.0ms

Filtered
23 candidates to 35 candidates (-52.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New28735
Fresh011
Picked011
Done000
Total28937

Merged error: 0.0b

Counts
37 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt z)
0.7b
(cbrt z)
0.7b
(cbrt z)
0.7b
(* x (* (cbrt y) (/ (cbrt y) (* (cbrt z) (cbrt z)))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
11×add-cbrt-cube
pow1 cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
add-log-exp
pow1/3 associate-*l* pow-prod-down
cbrt-undiv associate-*r/ div-exp
associate-*r* *-commutative
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
10.0ms
(* x (* (cbrt y) (/ (cbrt y) (* (cbrt z) (cbrt z)))))

series97.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt z)
23.0ms
(cbrt z)
24.0ms
(cbrt z)
26.0ms
(* x (* (cbrt y) (/ (cbrt y) (* (cbrt z) (cbrt z)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04963395
14963395

prune79.0ms

Filtered
46 candidates to 68 candidates (-47.8%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New67168
Fresh167
Picked011
Done011
Total68977

Merged error: 0.0b

Counts
77 → 9

localize7.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.4b
(* (* (cbrt x) (cbrt x)) (* y (/ (cbrt x) z)))
2.9b
(* y (/ (cbrt x) z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log
28×add-sqr-sqrt
23×associate-*r*
21×add-cbrt-cube
20×add-cube-cbrt *-un-lft-identity times-frac
18×pow1
16×cbrt-prod
15×prod-exp cbrt-unprod
pow-prod-down
associate-*l* add-log-exp
cbrt-undiv associate-*r/ div-exp unswap-sqr
pow1/3 *-commutative
div-inv
Counts
4 → 91
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
11.0ms
(* (* (cbrt x) (cbrt x)) (* y (/ (cbrt x) z)))
9.0ms
(* y (/ (cbrt x) z))

series77.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
25.0ms
(cbrt x)
8.0ms
(* (* (cbrt x) (cbrt x)) (* y (/ (cbrt x) z)))
21.0ms
(* y (/ (cbrt x) z))

simplify64.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04952628
14952628

prune84.0ms

Filtered
65 candidates to 103 candidates (-58.5%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1012103
Fresh336
Picked011
Done022
Total1048112

Merged error: 0.0b

Counts
112 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
1.3b
(* (* y (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (/ (cbrt (cbrt x)) z))
2.4b
(* (* (cbrt x) (cbrt x)) (* (* y (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (/ (cbrt (cbrt x)) z)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
90×add-exp-log
57×prod-exp cbrt-unprod
55×add-cbrt-cube
45×pow1 cbrt-prod
32×associate-*r*
30×pow-prod-down
27×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
cbrt-undiv div-exp
add-log-exp
associate-*r/
pow1/3 associate-*l* *-commutative
div-inv
Counts
4 → 131
Calls
4 calls:
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
15.0ms
(* (* y (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (/ (cbrt (cbrt x)) z))
20.0ms
(* (* (cbrt x) (cbrt x)) (* (* y (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (/ (cbrt (cbrt x)) z)))

series97.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(cbrt (cbrt x))
34.0ms
(cbrt (cbrt x))
22.0ms
(* (* y (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (/ (cbrt (cbrt x)) z))
9.0ms
(* (* (cbrt x) (cbrt x)) (* (* y (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (/ (cbrt (cbrt x)) z)))

simplify83.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
049061067
149061067

prune85.0ms

Filtered
69 candidates to 143 candidates (-107.2%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1430143
Fresh044
Picked011
Done033
Total1438151

Merged error: 0.0b

Counts
151 → 8

regimes225.0ms

Accuracy

0% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01419
11419

end0.0ms

analyze218.0ms

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
31.2%68.6%0.1%7
37.4%62.4%0.1%8
40.6%57.7%1.7%9
54.6%41.3%4%10
59.3%36.7%4%11
61.6%32.6%5.8%12
68.3%22.7%9%13
71%20%9%14

sample338.0ms

Algorithm
intervals
Results
168.0ms8000×body80valid
15.0ms774×body80invalid

Profiling

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