Details

Time bar (total: 2.2s)

analyze278.0ms

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
0%99.9%0.1%6
31.2%68.6%0.1%7
40.6%59.3%0.1%8
43.7%56.2%0.1%9
56.6%43.3%0.1%10
61%37.3%1.7%11
62.1%34.8%3.1%12
68.6%25.6%5.8%13
70.6%22.1%7.4%14

sample16.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
1.0ms37×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0207
1207

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) z))
0.0b
(/ (- y x) z)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
20×add-sqr-sqrt
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×associate-/r*
2×pow1 div-sub associate-/l/
1×cbrt-undiv +-commutative associate-+r- flip3-- frac-2neg flip3-+ div-exp clear-num sum-log flip-- flip-+ div-inv distribute-lft-out
Counts
2 → 51
Calls
2 calls:
8.0ms
(+ x (/ (- y x) z))
5.0ms
(/ (- y x) z)

series14.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ x (/ (- y x) z))
9.0ms
(/ (- y x) z)

simplify42.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
06142520

prune59.0ms

Filtered
40 candidates to 57 candidates (-42.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New54357
Fresh000
Picked101
Done000
Total55358

Merged error: 0b

Counts
58 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (- (/ y z) (/ x z)))
0.0b
(- (/ y z) (/ x z))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-sqr-sqrt
10×times-frac
9×add-log-exp
5×distribute-lft-out--
4×add-cube-cbrt difference-of-squares
2×pow1 add-exp-log sub-neg diff-log sum-log add-cbrt-cube div-inv distribute-lft-out
1×+-commutative associate-+r- associate-+r+ flip3-- distribute-rgt-out-- flip3-+ frac-sub flip-- flip-+ sub-div
Counts
2 → 38
Calls
2 calls:
14.0ms
(+ x (- (/ y z) (/ x z)))
11.0ms
(- (/ y z) (/ x z))

series11.0ms

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

simplify32.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05017494

prune46.0ms

Filtered
34 candidates to 44 candidates (-29.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New44044
Fresh022
Picked011
Done000
Total44347

Merged error: 0b

Counts
47 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- y x) z)
0.2b
(* (sqrt (/ (- y x) z)) (sqrt (/ (- y x) z)))
2.4b
(sqrt (/ (- y x) z))
2.4b
(sqrt (/ (- y x) z))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
154×add-sqr-sqrt
140×sqrt-prod
138×*-un-lft-identity
125×times-frac
76×add-cube-cbrt
30×swap-sqr
28×distribute-lft-out--
22×associate-*r* associate-*l* difference-of-squares
21×pow1
10×sqrt-pow1 pow1/2
9×unswap-sqr
8×add-exp-log add-cbrt-cube
7×div-inv
6×sqrt-div
5×pow-prod-up associate-/l*
4×rem-sqrt-square add-log-exp
3×pow-prod-down associate-/r* pow-sqr
2×associate-/l/
1×cbrt-undiv pow2 frac-times flip3-- frac-2neg pow-plus sqrt-unprod div-sub associate-*r/ div-exp associate-*l/ prod-exp clear-num rem-square-sqrt *-commutative flip-- cbrt-unprod
Counts
4 → 211
Calls
4 calls:
5.0ms
(/ (- y x) z)
22.0ms
(* (sqrt (/ (- y x) z)) (sqrt (/ (- y x) z)))
4.0ms
(sqrt (/ (- y x) z))
5.0ms
(sqrt (/ (- y x) z))

series75.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ (- y x) z)
27.0ms
(* (sqrt (/ (- y x) z)) (sqrt (/ (- y x) z)))
20.0ms
(sqrt (/ (- y x) z))
21.0ms
(sqrt (/ (- y x) z))

simplify57.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
055282239

prune161.0ms

Filtered
142 candidates to 223 candidates (-57.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2230223
Fresh011
Picked011
Done011
Total2233226

Merged error: 0b

Counts
226 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- y x))
0.0b
(sqrt (- y x))
0.1b
(/ z (sqrt (- y x)))
0.3b
(/ (sqrt (- y x)) (/ z (sqrt (- y x))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
350×add-sqr-sqrt
348×*-un-lft-identity
320×sqrt-prod
220×add-cube-cbrt
64×distribute-lft-out-- difference-of-squares
38×associate-/r*
26×sqrt-div
21×associate-/r/
13×flip3-- flip--
11×add-exp-log add-cbrt-cube div-inv associate-/l*
6×pow1
4×cbrt-undiv div-exp add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
Counts
4 → 378
Calls
4 calls:
3.0ms
(sqrt (- y x))
3.0ms
(sqrt (- y x))
6.0ms
(/ z (sqrt (- y x)))
16.0ms
(/ (sqrt (- y x)) (/ z (sqrt (- y x))))

series45.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sqrt (- y x))
9.0ms
(sqrt (- y x))
22.0ms
(/ z (sqrt (- y x)))
6.0ms
(/ (sqrt (- y x)) (/ z (sqrt (- y x))))

simplify154.0ms

Algorithm
egg-herbie
Counts
390 → 390
Iterations

Useful iterations: 0 (112.0ms)

IterNodesCost
049536256
149536256

prune175.0ms

Filtered
168 candidates to 390 candidates (-132.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3900390
Fresh000
Picked011
Done022
Total3903393

Merged error: 0b

Counts
393 → 3

regimes129.0ms

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
089
189

end0.0ms

analyze274.0ms

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
0%99.9%0.1%6
31.2%68.6%0.1%7
40.6%59.3%0.1%8
43.7%56.2%0.1%9
56.6%43.3%0.1%10
61%37.3%1.7%11
62.1%34.8%3.1%12
68.6%25.6%5.8%13
70.6%22.1%7.4%14

sample429.0ms

Algorithm
intervals
Results
200.0ms8000×body80valid
33.0ms1360×body80invalid

Profiling

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