Details

Time bar (total: 1.5s)

analyze55.0ms

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
0.0ms6×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0199
1199

prune9.0ms

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:

0.0b
(* (- x (/ 16.0 116.0)) 3.0)
0.4b
(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
7×*-un-lft-identity associate-*l*
6×associate-*r* associate-*l/
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
2 → 43
Calls
2 calls:
11.0ms
(* (- 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)
6.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify51.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04988444
14988444

prune73.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New44549
Fresh011
Picked011
Done000
Total44751

Merged error: 0b

Counts
51 → 7

localize6.0ms

Local error

Found 1 expressions with local error:

0.6b
(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×pow1 add-exp-log associate-*l* add-cbrt-cube
4×*-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt associate-*l/ difference-of-squares
1×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))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify35.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05065259

prune40.0ms

Filtered
14 candidates to 26 candidates (-85.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New24226
Fresh235
Picked011
Done011
Total26733

Merged error: 0b

Counts
33 → 7

localize10.0ms

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)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×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)

series92.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt y) (cbrt y))
22.0ms
(cbrt y)
24.0ms
(cbrt y)
22.0ms
(cbrt y)

simplify41.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05084341

prune80.0ms

Filtered
50 candidates to 85 candidates (-70.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done022
Total85792

Merged error: 0b

Counts
92 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(* y (+ x (/ 16.0 116.0)))
0.3b
(* (- x (/ 16.0 116.0)) (* 3.0 (* y (+ x (/ 16.0 116.0)))))
0.3b
(* 3.0 (* y (+ x (/ 16.0 116.0))))
7.7b
(/ (* (- x (/ 16.0 116.0)) (* 3.0 (* y (+ x (/ 16.0 116.0))))) (+ x (/ 16.0 116.0)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log associate-*r/ add-cbrt-cube
20×pow1
18×*-un-lft-identity
17×distribute-rgt-in add-sqr-sqrt distribute-lft-in
16×prod-exp cbrt-unprod
12×associate-*l*
10×add-cube-cbrt pow-prod-down
9×flip3-+ flip-+
8×frac-times associate-/l/
6×flip3-- associate-*r* flip--
5×times-frac
4×cbrt-undiv div-exp associate-*l/ associate-/r* add-log-exp
3×*-commutative distribute-lft-out
2×associate-/r/ difference-of-squares
1×frac-2neg clear-num div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
4 → 124
Calls
4 calls:
10.0ms
(* y (+ x (/ 16.0 116.0)))
17.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 (* y (+ x (/ 16.0 116.0)))))
9.0ms
(* 3.0 (* y (+ x (/ 16.0 116.0))))
23.0ms
(/ (* (- x (/ 16.0 116.0)) (* 3.0 (* y (+ x (/ 16.0 116.0))))) (+ x (/ 16.0 116.0)))

series26.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* y (+ x (/ 16.0 116.0)))
9.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 (* y (+ x (/ 16.0 116.0)))))
6.0ms
(* 3.0 (* y (+ x (/ 16.0 116.0))))
6.0ms
(/ (* (- x (/ 16.0 116.0)) (* 3.0 (* y (+ x (/ 16.0 116.0))))) (+ x (/ 16.0 116.0)))

simplify39.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
053771953

prune156.0ms

Filtered
82 candidates to 136 candidates (-65.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1351136
Fresh213
Picked011
Done123
Total1385143

Merged error: 0b

Counts
143 → 5

regimes213.0ms

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 (0.0ms)

IterNodesCost
0119
1119

end0.0ms

analyze53.0ms

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

sample348.0ms

Algorithm
intervals
Results
228.0ms8000×body80valid
2.0ms90×body80invalid

Profiling

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