Details

Time bar (total: 2.6s)

analyze247.0ms

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
31.2%68.6%0.1%8
39%57.7%3.3%9
47.6%46%6.4%10
58.1%35.5%6.4%11
62.2%29.1%8.7%12
66.2%22.7%11.1%13
71.3%17.6%11.1%14

sample18.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
0.0ms19×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
097
197

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.6b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

2.5b
(* x (- 1.0 (* y z)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×distribute-rgt-in flip3-- distribute-lft-in pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
5.0ms
(* x (- 1.0 (* y z)))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(* x (- 1.0 (* y z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04979214
14979214

prune57.0ms

Filtered
17 candidates to 25 candidates (-47.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New17825
Fresh000
Picked011
Done000
Total17926

Merged error: 2.5b

Counts
26 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
2.6b
(cbrt (- 1.0 (* y z)))
2.6b
(cbrt (- 1.0 (* y z)))
2.6b
(cbrt (- 1.0 (* y z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt flip3-- flip--
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×frac-times add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 66
Calls
4 calls:
10.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))

series142.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
38.0ms
(cbrt (- 1.0 (* y z)))
37.0ms
(cbrt (- 1.0 (* y z)))
39.0ms
(cbrt (- 1.0 (* y z)))

simplify30.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
051561127

prune190.0ms

Filtered
68 candidates to 78 candidates (-14.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New75378
Fresh257
Picked101
Done011
Total78987

Merged error: 2.5b

Counts
87 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

2.6b
(cbrt (- 1.0 (* y z)))
2.6b
(cbrt (- 1.0 (* y z)))
2.6b
(cbrt (- 1.0 (* y z)))
2.6b
(cbrt (- 1.0 (* y z)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
Counts
4 → 52
Calls
4 calls:
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))

series146.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(cbrt (- 1.0 (* y z)))
36.0ms
(cbrt (- 1.0 (* y z)))
38.0ms
(cbrt (- 1.0 (* y z)))
36.0ms
(cbrt (- 1.0 (* y z)))

simplify26.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
05256860

prune227.0ms

Filtered
60 candidates to 64 candidates (-6.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New64064
Fresh077
Picked011
Done011
Total64973

Merged error: 2.5b

Counts
73 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

2.6b
(cbrt (- 1.0 (* y z)))
2.6b
(cbrt (- 1.0 (* y z)))
2.6b
(cbrt (- 1.0 (* y z)))
2.6b
(cbrt (- 1.0 (* y z)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
Counts
4 → 52
Calls
4 calls:
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))

series145.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(cbrt (- 1.0 (* y z)))
35.0ms
(cbrt (- 1.0 (* y z)))
37.0ms
(cbrt (- 1.0 (* y z)))
35.0ms
(cbrt (- 1.0 (* y z)))

simplify24.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
05256860

prune218.0ms

Filtered
60 candidates to 64 candidates (-6.7%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh066
Picked011
Done022
Total64973

Merged error: 2.5b

Counts
73 → 9

regimes406.0ms

Accuracy

0% (0.1b remaining)

Error of 3.1b against oracle of 2.9b and baseline of 3.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097
197

end0.0ms

analyze237.0ms

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
31.2%68.6%0.1%8
39%57.7%3.3%9
47.6%46%6.4%10
58.1%35.5%6.4%11
62.2%29.1%8.7%12
66.2%22.7%11.1%13
71.3%17.6%11.1%14

sample364.0ms

Algorithm
intervals
Results
190.0ms8000×body80valid
16.0ms568×body80invalid

Profiling

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