Details

Time bar (total: 2.1s)

analyze257.0ms

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
6.2%93.6%0.1%6
15.6%84.3%0.1%7
31.2%68.6%0.1%8
39%56.2%4.8%9
50.7%43.7%5.6%10
60.3%33.7%6%11
64.6%26.5%8.9%12
70.5%20.3%9.2%13
74.6%16.1%9.4%14

sample27.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0199
1199

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ x 2.0) (* y x))
0.0b
(+ (+ (/ x 2.0) (* y x)) z)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×*-un-lft-identity sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ add-cbrt-cube flip-+
1×associate-+l+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
6.0ms
(+ (/ x 2.0) (* y x))
8.0ms
(+ (+ (/ x 2.0) (* y x)) z)

series14.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(+ (/ x 2.0) (* y x))
6.0ms
(+ (+ (/ x 2.0) (* y x)) z)

simplify26.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
05019336

prune34.0ms

Filtered
24 candidates to 31 candidates (-29.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New30131
Fresh000
Picked011
Done000
Total30232

Merged error: 0.0b

Counts
32 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ z (* x (+ y 0.5)))
0.0b
(* x (+ y 0.5))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
3.0ms
(+ z (* x (+ y 0.5)))
6.0ms
(* x (+ y 0.5))

series11.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ z (* x (+ y 0.5)))
5.0ms
(* x (+ y 0.5))

simplify47.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04967318
14967318

prune41.0ms

Filtered
28 candidates to 42 candidates (-50.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New41142
Fresh000
Picked101
Done011
Total42244

Merged error: 0.0b

Counts
44 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ z (/ (* x (- (* y y) (* 0.5 0.5))) (- y 0.5)))
4.0b
(* x (- (* y y) (* 0.5 0.5)))
8.0b
(/ (* x (- (* y y) (* 0.5 0.5))) (- y 0.5))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-/r* add-log-exp
4×associate-*r/ associate-*r*
3×flip3-- associate-*l* flip-- difference-of-squares
2×cbrt-undiv sub-neg div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out--
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 64
Calls
3 calls:
7.0ms
(+ z (/ (* x (- (* y y) (* 0.5 0.5))) (- y 0.5)))
6.0ms
(* x (- (* y y) (* 0.5 0.5)))
12.0ms
(/ (* x (- (* y y) (* 0.5 0.5))) (- y 0.5))

series43.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(+ z (/ (* x (- (* y y) (* 0.5 0.5))) (- y 0.5)))
10.0ms
(* x (- (* y y) (* 0.5 0.5)))
13.0ms
(/ (* x (- (* y y) (* 0.5 0.5))) (- y 0.5))

simplify45.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04975792
14975792

prune82.0ms

Filtered
54 candidates to 73 candidates (-35.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New72173
Fresh000
Picked011
Done011
Total72375

Merged error: 0b

Counts
75 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ z (/ x (/ (- y 0.5) (- (* y y) (* 0.5 0.5)))))
0.2b
(/ x (/ (- y 0.5) (- (* y y) (* 0.5 0.5))))
10.6b
(/ (- y 0.5) (- (* y y) (* 0.5 0.5)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
125×*-un-lft-identity
123×add-sqr-sqrt
81×add-cube-cbrt
47×difference-of-squares
30×associate-/r*
21×distribute-lft-out--
11×associate-/r/
10×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num associate-/l/
1×+-commutative flip3-+ div-sub sum-log flip-+ distribute-lft-out
Counts
3 → 180
Calls
3 calls:
26.0ms
(+ z (/ x (/ (- y 0.5) (- (* y y) (* 0.5 0.5)))))
11.0ms
(/ x (/ (- y 0.5) (- (* y y) (* 0.5 0.5))))
8.0ms
(/ (- y 0.5) (- (* y y) (* 0.5 0.5)))

series37.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(+ z (/ x (/ (- y 0.5) (- (* y y) (* 0.5 0.5)))))
13.0ms
(/ x (/ (- y 0.5) (- (* y y) (* 0.5 0.5))))
4.0ms
(/ (- y 0.5) (- (* y y) (* 0.5 0.5)))

simplify62.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
056073285

prune268.0ms

Filtered
148 candidates to 189 candidates (-27.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1890189
Fresh000
Picked011
Done022
Total1893192

Merged error: 0b

Counts
192 → 3

regimes218.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119
1119

end0.0ms

sample720.0ms

Algorithm
intervals
Results
203.0ms7999×body80valid
0.0ms1×body1280valid

Profiling

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