Details

Time bar (total: 1.5s)

analyze49.0ms

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
25%74.9%0.1%5
50%50%0.1%6
62.4%31.2%6.3%7
71.8%21.9%6.3%8
76.5%14%9.5%9
80.4%10.1%9.5%10
82.3%6.6%11%11
84.1%4.9%11%12
85%3.2%11.8%13
85.8%2.4%11.8%14

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0msbody80invalid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
09509
19509

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (- x (/ 16.0 116.0)) 3.0)
0.2b
(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
pow1 add-exp-log add-cbrt-cube
*-un-lft-identity associate-*l*
associate-*r* associate-*l/
add-cube-cbrt
pow-prod-down prod-exp cbrt-unprod
flip3-- *-commutative flip-- add-log-exp difference-of-squares
times-frac distribute-lft-out-- unswap-sqr
Counts
2 → 43
Calls
2 calls:
9.0ms
(* (- x (/ 16.0 116.0)) 3.0)
10.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series9.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(* (- x (/ 16.0 116.0)) 3.0)
5.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify43.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04987444
14987444

prune74.0ms

Filtered
32 candidates to 49 candidates (-53.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New43649
Fresh011
Picked101
Done000
Total44751

Merged error: 0.0b

Counts
51 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x 3.0) 0.41379310344827586)
0.1b
(* y (- (* x 3.0) 0.41379310344827586))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
sub-neg associate-*r* associate-*l*
flip3-- associate-*r/ flip--
distribute-rgt-in distribute-lft-in diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
4.0ms
(- (* x 3.0) 0.41379310344827586)
8.0ms
(* y (- (* x 3.0) 0.41379310344827586))

series9.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(- (* x 3.0) 0.41379310344827586)
6.0ms
(* y (- (* x 3.0) 0.41379310344827586))

simplify47.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05072329

prune56.0ms

Filtered
26 candidates to 39 candidates (-50.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh516
Picked011
Done000
Total41546

Merged error: 0b

Counts
46 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b
(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log associate-*l* add-cbrt-cube
*-un-lft-identity
pow-prod-down prod-exp cbrt-unprod
add-cube-cbrt associate-*l/ difference-of-squares
flip3-- times-frac associate-*r* *-commutative flip-- distribute-lft-out-- add-log-exp
Counts
1 → 23
Calls
1 calls:
10.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify31.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05144259

prune35.0ms

Filtered
15 candidates to 26 candidates (-73.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New26026
Fresh033
Picked011
Done011
Total26531

Merged error: 0b

Counts
31 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- (* x 3.0) 0.41379310344827586))
0.2b
(* (cbrt (- (* x 3.0) 0.41379310344827586)) (cbrt (- (* x 3.0) 0.41379310344827586)))
0.3b
(* y (* (cbrt (- (* x 3.0) 0.41379310344827586)) (cbrt (- (* x 3.0) 0.41379310344827586))))
0.3b
(* (* y (* (cbrt (- (* x 3.0) 0.41379310344827586)) (cbrt (- (* x 3.0) 0.41379310344827586)))) (cbrt (- (* x 3.0) 0.41379310344827586)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-div
44×associate-*r/
40×flip3-- flip--
36×frac-times
25×pow1 add-sqr-sqrt
22×cbrt-prod
20×add-exp-log
18×associate-*l/
16×add-cube-cbrt *-un-lft-identity
13×associate-*r*
11×pow-prod-down add-cbrt-cube
10×associate-*l* prod-exp cbrt-unprod
pow1/3
swap-sqr
unswap-sqr
add-log-exp
*-commutative
pow-sqr pow-prod-up
pow2 pow-plus
Counts
4 → 138
Calls
4 calls:
3.0ms
(cbrt (- (* x 3.0) 0.41379310344827586))
11.0ms
(* (cbrt (- (* x 3.0) 0.41379310344827586)) (cbrt (- (* x 3.0) 0.41379310344827586)))
13.0ms
(* y (* (cbrt (- (* x 3.0) 0.41379310344827586)) (cbrt (- (* x 3.0) 0.41379310344827586))))
21.0ms
(* (* y (* (cbrt (- (* x 3.0) 0.41379310344827586)) (cbrt (- (* x 3.0) 0.41379310344827586)))) (cbrt (- (* x 3.0) 0.41379310344827586)))

series62.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(cbrt (- (* x 3.0) 0.41379310344827586))
12.0ms
(* (cbrt (- (* x 3.0) 0.41379310344827586)) (cbrt (- (* x 3.0) 0.41379310344827586)))
30.0ms
(* y (* (cbrt (- (* x 3.0) 0.41379310344827586)) (cbrt (- (* x 3.0) 0.41379310344827586))))
11.0ms
(* (* y (* (cbrt (- (* x 3.0) 0.41379310344827586)) (cbrt (- (* x 3.0) 0.41379310344827586)))) (cbrt (- (* x 3.0) 0.41379310344827586)))

simplify59.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
049743223
149743223

prune311.0ms

Filtered
100 candidates to 150 candidates (-50.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1500150
Fresh022
Picked011
Done022
Total1505155

Merged error: 0b

Counts
155 → 5

regimes122.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1197

end0.0ms

sample358.0ms

Algorithm
intervals
Results
225.0ms8000×body80valid
2.0ms85×body80invalid

Profiling

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