Details

Time bar (total: 1.5s)

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
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
36.7%60.8%2.5%9
43.3%49.9%6.8%10
49.7%40.8%9.5%11
58.2%30.2%11.6%12
61.3%24.4%14.3%13
65%19.8%15.3%14

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms18×body80invalid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
03007
13007

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 (- z x)))
0.0b
(* y (- z x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r*
4×pow1 add-exp-log add-cube-cbrt sub-neg add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 37
Calls
2 calls:
3.0ms
(+ x (* y (- z x)))
8.0ms
(* y (- z x))

series21.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ x (* y (- z x)))
14.0ms
(* y (- z x))

simplify50.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04949327
14949327

prune49.0ms

Filtered
29 candidates to 43 candidates (-48.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New40343
Fresh000
Picked011
Done000
Total40444

Merged error: 0b

Counts
44 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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-+ unsub-neg distribute-rgt-neg-out add-cbrt-cube flip-+ distribute-lft-out
1×associate-+r- associate-+r+
Counts
2 → 28
Calls
2 calls:
5.0ms
(+ x (+ (* y z) (* y (neg x))))
4.0ms
(+ (* y z) (* y (neg x)))

series16.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(+ x (+ (* y z) (* y (neg x))))
7.0ms
(+ (* y z) (* y (neg x)))

simplify43.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05311286

prune33.0ms

Filtered
23 candidates to 34 candidates (-47.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New34034
Fresh022
Picked011
Done011
Total34438

Merged error: 0b

Counts
38 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (- z x))
0.2b
(* (sqrt (* y (- z x))) (sqrt (* y (- z x))))
3.9b
(sqrt (* y (- z x)))
3.9b
(sqrt (* y (- z x)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×add-sqr-sqrt sqrt-div
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-- associate-*r* flip--
8×add-exp-log add-cbrt-cube
7×associate-*l*
6×sqrt-prod pow-sqr
4×frac-times swap-sqr add-log-exp
2×sub-neg associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out-- difference-of-squares
Counts
4 → 107
Calls
4 calls:
6.0ms
(* y (- z x))
15.0ms
(* (sqrt (* y (- z x))) (sqrt (* y (- z x))))
5.0ms
(sqrt (* y (- z x)))
4.0ms
(sqrt (* y (- z x)))

series66.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* y (- z x))
28.0ms
(* (sqrt (* y (- z x))) (sqrt (* y (- z x))))
15.0ms
(sqrt (* y (- z x)))
16.0ms
(sqrt (* y (- z x)))

simplify32.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
04965893
14965893

prune83.0ms

Filtered
70 candidates to 119 candidates (-70.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1190119
Fresh011
Picked011
Done022
Total1194123

Merged error: 0b

Counts
123 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* y (+ (sqrt z) (sqrt x))) (- (sqrt z) (sqrt x))))
0.0b
(+ (sqrt z) (sqrt x))
0.1b
(* y (+ (sqrt z) (sqrt x)))
0.1b
(* (* y (+ (sqrt z) (sqrt x))) (- (sqrt z) (sqrt x)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
17×add-sqr-sqrt
14×associate-*r*
11×pow1 add-exp-log add-cbrt-cube
10×associate-*r/ sqrt-prod
8×add-log-exp
7×add-cube-cbrt
6×flip3-+ flip-+
4×frac-times sub-neg associate-*l* pow-prod-down prod-exp cbrt-unprod distribute-lft-out difference-of-squares
3×distribute-rgt-in flip3-- distribute-lft-in flip--
2×+-commutative associate-+r+ associate-*l/ sum-log *-commutative distribute-lft-out--
1×unswap-sqr
Counts
4 → 84
Calls
4 calls:
4.0ms
(+ x (* (* y (+ (sqrt z) (sqrt x))) (- (sqrt z) (sqrt x))))
5.0ms
(+ (sqrt z) (sqrt x))
10.0ms
(* y (+ (sqrt z) (sqrt x)))
14.0ms
(* (* y (+ (sqrt z) (sqrt x))) (- (sqrt z) (sqrt x)))

series54.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+ x (* (* y (+ (sqrt z) (sqrt x))) (- (sqrt z) (sqrt x))))
6.0ms
(+ (sqrt z) (sqrt x))
10.0ms
(* y (+ (sqrt z) (sqrt x)))
27.0ms
(* (* y (+ (sqrt z) (sqrt x))) (- (sqrt z) (sqrt x)))

simplify64.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049601015
149601015

prune77.0ms

Filtered
67 candidates to 96 candidates (-43.3%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New96096
Fresh000
Picked011
Done033
Total964100

Merged error: 0b

Counts
100 → 4

regimes182.0ms

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
0187
1187

end0.0ms

sample357.0ms

Algorithm
intervals
Results
181.0ms8000×body80valid
12.0ms542×body80invalid

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