Details

Time bar (total: 2.1s)

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

sample24.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify43.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
09509
19509

prune8.0ms

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 3 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.1b
(* (- x (/ 16.0 116.0)) 3.0)
0.2b
(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
7×associate-*l*
6×add-cube-cbrt associate-*r* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod difference-of-squares
3×flip3-- flip--
2×times-frac *-commutative distribute-lft-out--
1×sub-neg diff-log unswap-sqr
Counts
3 → 57
Calls
3 calls:
6.0ms
(- x (/ 16.0 116.0))
8.0ms
(* (- x (/ 16.0 116.0)) 3.0)
10.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series14.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(- x (/ 16.0 116.0))
4.0ms
(* (- x (/ 16.0 116.0)) 3.0)
8.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify45.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05099586

prune92.0ms

Filtered
45 candidates to 66 candidates (-46.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New61566
Fresh011
Picked011
Done000
Total61768

Merged error: 0.0b

Counts
68 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.3b
(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
7×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
6×associate-*l*
4×add-log-exp difference-of-squares
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×flip3-- times-frac associate-*l/ flip-- distribute-lft-out--
1×sub-neg diff-log associate-*r* *-commutative
Counts
2 → 37
Calls
2 calls:
6.0ms
(- x (/ 16.0 116.0))
9.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series8.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(- x (/ 16.0 116.0))
6.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify32.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05099401

prune57.0ms

Filtered
26 candidates to 43 candidates (-65.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New42143
Fresh145
Picked011
Done011
Total43750

Merged error: 0b

Counts
50 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (- x (/ 16.0 116.0)))
0.7b
(cbrt (- x (/ 16.0 116.0)))
0.7b
(cbrt (- x (/ 16.0 116.0)))
0.8b
(* (cbrt (- x (/ 16.0 116.0))) (cbrt (- x (/ 16.0 116.0))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
50×cbrt-prod
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
14×difference-of-squares
11×pow1 swap-sqr
9×flip3-- pow1/3 associate-*r* associate-*l* flip-- distribute-lft-out--
7×times-frac
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 107
Calls
4 calls:
8.0ms
(cbrt (- x (/ 16.0 116.0)))
6.0ms
(cbrt (- x (/ 16.0 116.0)))
6.0ms
(cbrt (- x (/ 16.0 116.0)))
17.0ms
(* (cbrt (- x (/ 16.0 116.0))) (cbrt (- x (/ 16.0 116.0))))

series32.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(cbrt (- x (/ 16.0 116.0)))
8.0ms
(cbrt (- x (/ 16.0 116.0)))
7.0ms
(cbrt (- x (/ 16.0 116.0)))
10.0ms
(* (cbrt (- x (/ 16.0 116.0))) (cbrt (- x (/ 16.0 116.0))))

simplify57.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050621716

prune295.0ms

Filtered
92 candidates to 119 candidates (-29.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1190119
Fresh044
Picked011
Done022
Total1197126

Merged error: 0b

Counts
126 → 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))))
7.3b
(/ (* (- x (/ 16.0 116.0)) (* 3.0 (* y (+ x (/ 16.0 116.0))))) (+ x (/ 16.0 116.0)))

rewrite65.0ms

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:
8.0ms
(* y (+ x (/ 16.0 116.0)))
19.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 (* y (+ x (/ 16.0 116.0)))))
10.0ms
(* 3.0 (* y (+ x (/ 16.0 116.0))))
24.0ms
(/ (* (- x (/ 16.0 116.0)) (* 3.0 (* y (+ x (/ 16.0 116.0))))) (+ x (/ 16.0 116.0)))

series24.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* y (+ x (/ 16.0 116.0)))
8.0ms
(* (- 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)))

simplify38.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
052841952

prune157.0ms

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

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1333136
Fresh303
Picked101
Done033
Total1376143

Merged error: 0b

Counts
143 → 6

regimes220.0ms

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
0289
1289

end0.0ms

sample724.0ms

Algorithm
intervals
Results
201.0ms8000×body80valid

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