Details

Time bar (total: 2.0s)

analyze261.0ms

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
31.2%68.6%0.1%9
43.3%49.9%6.8%10
49.7%40.8%9.5%11
55.7%34%10.3%12
61.3%24.4%14.3%13
65%19.8%15.3%14

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
1.0ms24×body80invalid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
087
187

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
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 → 33
Calls
2 calls:
6.0ms
(* (- y x) z)
3.0ms
(+ x (* (- y x) z))

series13.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* (- y x) z)
7.0ms
(+ x (* (- y x) z))

simplify41.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05685303

prune43.0ms

Filtered
27 candidates to 39 candidates (-44.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New37239
Fresh000
Picked011
Done000
Total37340

Merged error: 0.0b

Counts
40 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series89.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt z) (cbrt z))
23.0ms
(cbrt z)
21.0ms
(cbrt z)
21.0ms
(cbrt z)

simplify40.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05084341

prune62.0ms

Filtered
50 candidates to 85 candidates (-70.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh011
Picked011
Done011
Total85388

Merged error: 0.0b

Counts
88 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (sqrt (* (- y x) z)) (sqrt (* (- y x) z))))
0.2b
(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
2.3b
(sqrt (* (- y x) z))
2.3b
(sqrt (* (- y x) z))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
59×pow1
32×sqrt-pow1
22×pow-prod-down
18×associate-*l/
16×sqrt-div
12×pow1/2
10×add-sqr-sqrt pow-prod-up
8×add-cube-cbrt flip3-- *-un-lft-identity flip--
6×add-exp-log sqrt-prod pow-sqr add-cbrt-cube add-log-exp
4×frac-times swap-sqr associate-*r* associate-*l*
2×associate-*r/
1×+-commutative pow2 flip3-+ pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 94
Calls
4 calls:
2.0ms
(+ x (* (sqrt (* (- y x) z)) (sqrt (* (- y x) z))))
13.0ms
(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
4.0ms
(sqrt (* (- y x) z))
5.0ms
(sqrt (* (- y x) z))

series125.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+ x (* (sqrt (* (- y x) z)) (sqrt (* (- y x) z))))
17.0ms
(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
49.0ms
(sqrt (* (- y x) z))
47.0ms
(sqrt (* (- y x) z))

simplify43.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04973809
14973809

prune81.0ms

Filtered
64 candidates to 106 candidates (-65.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1051106
Fresh000
Picked011
Done022
Total1054109

Merged error: 0b

Counts
109 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (sqrt (* (- y x) z)))
2.3b
(sqrt (* (- y x) z))
2.3b
(sqrt (* (- y x) z))
2.3b
(sqrt (* (- y x) z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1
8×sqrt-div associate-*l/
6×sqrt-pow1
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-exp-log cbrt-prod flip3-- sqrt-prod add-cbrt-cube flip-- add-log-exp
3×pow1/2 pow-prod-down
2×cbrt-div
1×pow1/3
Counts
4 → 53
Calls
4 calls:
5.0ms
(cbrt (sqrt (* (- y x) z)))
4.0ms
(sqrt (* (- y x) z))
5.0ms
(sqrt (* (- y x) z))
5.0ms
(sqrt (* (- y x) z))

series177.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (sqrt (* (- y x) z)))
49.0ms
(sqrt (* (- y x) z))
47.0ms
(sqrt (* (- y x) z))
50.0ms
(sqrt (* (- y x) z))

simplify46.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04942617
14942617

prune89.0ms

Filtered
58 candidates to 65 candidates (-12.1%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New65065
Fresh000
Picked011
Done033
Total65469

Merged error: 0b

Counts
69 → 4

regimes183.0ms

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
087
187

end0.0ms

analyze272.0ms

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
31.2%68.6%0.1%9
43.3%49.9%6.8%10
49.7%40.8%9.5%11
55.7%34%10.3%12
61.3%24.4%14.3%13
65%19.8%15.3%14

sample350.0ms

Algorithm
intervals
Results
180.0ms8000×body80valid
12.0ms599×body80invalid

Profiling

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