Details

Time bar (total: 1.7s)

analyze52.0ms

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

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms4×body80invalid

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (44.0ms)

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

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 (6 fresh and 1 done)

PrunedKeptTotal
New44549
Fresh011
Picked011
Done000
Total44751

Merged error: 0.0b

Counts
51 → 7

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
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:
9.0ms
(* (- 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))

simplify29.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
05144259

prune41.0ms

Filtered
13 candidates to 26 candidates (-100.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New25126
Fresh055
Picked011
Done011
Total25833

Merged error: 0b

Counts
33 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))) (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))))
0.5b
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
0.5b
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
0.5b
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
7.0ms
(* (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))) (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))))
10.0ms
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
8.0ms
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
8.0ms
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))

series99.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))) (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))))
21.0ms
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
21.0ms
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
21.0ms
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))

simplify58.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049671624
149671624

prune226.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh055
Picked011
Done022
Total84892

Merged error: 0b

Counts
92 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* 16.0 (/ 16.0 (* 116.0 116.0))))
0.3b
(* 3.0 (* y (- (* x x) (* 16.0 (/ 16.0 (* 116.0 116.0))))))
5.8b
(* y (- (* x x) (* 16.0 (/ 16.0 (* 116.0 116.0)))))
6.6b
(/ (* 3.0 (* y (- (* x x) (* 16.0 (/ 16.0 (* 116.0 116.0)))))) (+ x (/ 16.0 116.0)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
13×*-un-lft-identity
11×pow1 add-sqr-sqrt
10×associate-*r/
9×add-cube-cbrt
7×sub-neg prod-exp cbrt-unprod
6×associate-*l* add-log-exp
5×distribute-rgt-in distribute-lft-in
4×flip3-- times-frac associate-*r* pow-prod-down associate-/r* flip--
3×cbrt-undiv div-exp
2×associate-/r/ *-commutative associate-/l/ distribute-lft-out
1×frac-2neg flip3-+ diff-log clear-num flip-+ div-inv associate-/l* unswap-sqr
Counts
4 → 86
Calls
4 calls:
4.0ms
(- (* x x) (* 16.0 (/ 16.0 (* 116.0 116.0))))
8.0ms
(* 3.0 (* y (- (* x x) (* 16.0 (/ 16.0 (* 116.0 116.0))))))
7.0ms
(* y (- (* x x) (* 16.0 (/ 16.0 (* 116.0 116.0)))))
13.0ms
(/ (* 3.0 (* y (- (* x x) (* 16.0 (/ 16.0 (* 116.0 116.0)))))) (+ x (/ 16.0 116.0)))

series43.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(- (* x x) (* 16.0 (/ 16.0 (* 116.0 116.0))))
11.0ms
(* 3.0 (* y (- (* x x) (* 16.0 (/ 16.0 (* 116.0 116.0))))))
10.0ms
(* y (- (* x x) (* 16.0 (/ 16.0 (* 116.0 116.0)))))
18.0ms
(/ (* 3.0 (* y (- (* x x) (* 16.0 (/ 16.0 (* 116.0 116.0)))))) (+ x (/ 16.0 116.0)))

simplify30.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
052761603

prune119.0ms

Filtered
65 candidates to 98 candidates (-50.8%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New98098
Fresh044
Picked011
Done033
Total988106

Merged error: 0b

Counts
106 → 8

regimes271.0ms

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

sample352.0ms

Algorithm
intervals
Results
224.0ms8000×body80valid
2.0ms82×body80invalid

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