Details

Time bar (total: 1.7s)

analyze296.0ms

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

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms13×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 x) z))
0.0b
(* (- 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:
3.0ms
(+ x (* (- y x) z))
6.0ms
(* (- y x) z)

series13.0ms

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

simplify34.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05046303

prune40.0ms

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

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New38139
Fresh000
Picked011
Done000
Total38240

Merged error: 0.0b

Counts
40 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (- y x) (sqrt z)) (sqrt z)))
0.1b
(* (- y x) (sqrt z))
0.2b
(* (* (- y x) (sqrt z)) (sqrt z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×associate-*r*
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
8×add-cube-cbrt
7×sqrt-prod
6×associate-*l* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- unswap-sqr
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 60
Calls
3 calls:
3.0ms
(+ x (* (* (- y x) (sqrt z)) (sqrt z)))
7.0ms
(* (- y x) (sqrt z))
9.0ms
(* (* (- y x) (sqrt z)) (sqrt z))

series30.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ x (* (* (- y x) (sqrt z)) (sqrt z)))
11.0ms
(* (- y x) (sqrt z))
8.0ms
(* (* (- y x) (sqrt z)) (sqrt z))

simplify42.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04978571
14978571

prune65.0ms

Filtered
47 candidates to 69 candidates (-46.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New67269
Fresh000
Picked101
Done011
Total68371

Merged error: 0b

Counts
71 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.1b
(* (* (- y x) (sqrt (sqrt z))) (sqrt (sqrt z)))
0.1b
(* (- y x) (sqrt (sqrt z)))
0.2b
(* (* (* (- y x) (sqrt (sqrt z))) (sqrt (sqrt z))) (sqrt z))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
34×sqrt-prod
25×add-sqr-sqrt
24×associate-*r*
22×pow1
20×add-exp-log add-cbrt-cube
17×*-un-lft-identity
15×add-cube-cbrt
12×associate-*l/
10×pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
4×sqrt-pow1 add-log-exp
3×flip3-- *-commutative flip-- unswap-sqr
2×rem-sqrt-square pow1/2
1×distribute-lft-out-- difference-of-squares
Counts
4 → 101
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
11.0ms
(* (* (- y x) (sqrt (sqrt z))) (sqrt (sqrt z)))
8.0ms
(* (- y x) (sqrt (sqrt z)))
14.0ms
(* (* (* (- y x) (sqrt (sqrt z))) (sqrt (sqrt z))) (sqrt z))

series50.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (sqrt z))
9.0ms
(* (* (- y x) (sqrt (sqrt z))) (sqrt (sqrt z)))
16.0ms
(* (- y x) (sqrt (sqrt z)))
10.0ms
(* (* (* (- y x) (sqrt (sqrt z))) (sqrt (sqrt z))) (sqrt z))

simplify45.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04932854
14932854

prune90.0ms

Filtered
69 candidates to 113 candidates (-63.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh011
Picked011
Done011
Total1133116

Merged error: 0b

Counts
116 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (sqrt z)) (cbrt (sqrt z)))
0.3b
(cbrt (sqrt z))
0.3b
(cbrt (sqrt z))
0.3b
(cbrt (sqrt z))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
58×cbrt-prod
44×add-sqr-sqrt
29×sqrt-prod
22×add-cube-cbrt *-un-lft-identity
11×pow1 swap-sqr
9×pow1/3 associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
7.0ms
(* (cbrt (sqrt z)) (cbrt (sqrt z)))
2.0ms
(cbrt (sqrt z))
2.0ms
(cbrt (sqrt z))
2.0ms
(cbrt (sqrt z))

series62.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (cbrt (sqrt z)) (cbrt (sqrt z)))
15.0ms
(cbrt (sqrt z))
14.0ms
(cbrt (sqrt z))
15.0ms
(cbrt (sqrt z))

simplify70.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04864728
14864728

prune109.0ms

Filtered
70 candidates to 110 candidates (-57.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1100110
Fresh000
Picked011
Done022
Total1103113

Merged error: 0b

Counts
113 → 3

regimes193.0ms

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 (1.0ms)

IterNodesCost
0187
1187

end0.0ms

sample389.0ms

Algorithm
intervals
Results
190.0ms8000×body80valid
19.0ms580×body80invalid

Profiling

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