Details

Time bar (total: 2.1s)

analyze309.0ms

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
36.7%60.8%2.5%9
43.3%49.9%6.8%10
49.7%40.8%9.5%11
58.2%30.2%11.6%12
61.3%24.4%14.3%13
65%19.8%15.3%14

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
0.0ms20×body80invalid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1173
2313
3463
4533
5623
6803
71183
82353
94673
107503
1111363
1218183
1350023

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (- z x)))
0.0b
(* y (- z x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity
associate-*r*
pow1 add-exp-log distribute-rgt-in add-cube-cbrt sub-neg associate-+r+ distribute-lft-in add-cbrt-cube add-log-exp
associate-*l*
associate-*r/
+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 41
Calls
2 calls:
3.0ms
(+ x (* y (- z x)))
8.0ms
(* y (- z x))

series21.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ x (* y (- z x)))
14.0ms
(* y (- z x))

simplify86.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0172180
1731165
23520165
35001165

prune68.0ms

Filtered
29 candidates to 47 candidates (-62.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New43447
Fresh000
Picked011
Done000
Total43548

Merged error: 0b

Counts
48 → 5

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (+ (* y z) (* y (neg x))))
0.0b
(+ (* y z) (* y (neg x)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
*-un-lft-identity sum-log distribute-rgt-neg-out
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r- flip3-+ unsub-neg add-cbrt-cube flip-+ distribute-lft-out
associate-+r+
Counts
2 → 30
Calls
2 calls:
7.0ms
(+ x (+ (* y z) (* y (neg x))))
6.0ms
(+ (* y z) (* y (neg x)))

series14.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ x (+ (* y z) (* y (neg x))))
7.0ms
(+ (* y z) (* y (neg x)))

simplify105.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0181209
1786168
23584162
35001162

prune39.0ms

Filtered
24 candidates to 36 candidates (-50.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New36036
Fresh033
Picked011
Done011
Total36541

Merged error: 0b

Counts
41 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series131.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (cbrt y) (cbrt y))
37.0ms
(cbrt y)
37.0ms
(cbrt y)
26.0ms
(cbrt y)

simplify73.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune69.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh112
Picked101
Done022
Total86490

Merged error: 0b

Counts
90 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (sqrt y) (* (sqrt y) (- z x))))
0.1b
(* (sqrt y) (- z x))
0.2b
(* (sqrt y) (* (sqrt y) (- z x)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
18×distribute-rgt-in distribute-lft-in
14×add-sqr-sqrt
12×associate-*l*
10×pow1 add-exp-log sub-neg *-un-lft-identity add-cbrt-cube
add-cube-cbrt associate-+r+
sqrt-prod
associate-*r/ associate-*r*
add-log-exp
pow-prod-down prod-exp cbrt-unprod
flip3-- *-commutative flip-- unswap-sqr
+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 80
Calls
3 calls:
4.0ms
(+ x (* (sqrt y) (* (sqrt y) (- z x))))
7.0ms
(* (sqrt y) (- z x))
9.0ms
(* (sqrt y) (* (sqrt y) (- z x)))

series38.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(+ x (* (sqrt y) (* (sqrt y) (- z x))))
14.0ms
(* (sqrt y) (- z x))
11.0ms
(* (sqrt y) (* (sqrt y) (- z x)))

simplify44.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0359473
11563404
25001399

prune61.0ms

Filtered
55 candidates to 89 candidates (-61.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New89089
Fresh011
Picked011
Done022
Total89493

Merged error: 0b

Counts
93 → 4

regimes243.0ms

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
1185
2195
3195

end0.0ms

analyze239.0ms

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
36.7%60.8%2.5%9
43.3%49.9%6.8%10
49.7%40.8%9.5%11
58.2%30.2%11.6%12
61.3%24.4%14.3%13
65%19.8%15.3%14

sample394.0ms

Algorithm
intervals
Results
198.0ms8000×body80valid
14.0ms578×body80invalid

Profiling

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