Details

Time bar (total: 1.7s)

analyze258.0ms

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%30.4%11.4%12
61.3%24.7%14%13
65%19.9%15.1%14

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms13×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0517
1517

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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:
5.0ms
(* y (+ z x))
3.0ms
(+ x (* y (+ z x)))

series12.0ms

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

simplify53.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04950318
14950318

prune50.0ms

Filtered
31 candidates to 42 candidates (-35.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New38442
Fresh000
Picked101
Done000
Total39443

Merged error: 0.0b

Counts
43 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+
Counts
2 → 24
Calls
2 calls:
5.0ms
(+ (+ x (* y z)) (* y x))
3.0ms
(+ x (* y z))

series14.0ms

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

simplify29.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
05063269

prune34.0ms

Filtered
22 candidates to 30 candidates (-36.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New30030
Fresh033
Picked011
Done000
Total30434

Merged error: 0.0b

Counts
34 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y (- (* z z) (* x x))) (- z x)))
2.0b
(- (* z z) (* x x))
7.8b
(* y (- (* z z) (* x x)))
20.5b
(/ (* y (- (* z z) (* x x))) (- z x))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×add-cube-cbrt add-log-exp
6×pow1
5×times-frac associate-/r*
4×flip3-- associate-*r/ associate-*r* flip-- difference-of-squares
3×sub-neg associate-*l*
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out--
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in flip3-+ diff-log pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
4 → 76
Calls
4 calls:
7.0ms
(+ x (/ (* y (- (* z z) (* x x))) (- z x)))
4.0ms
(- (* z z) (* x x))
8.0ms
(* y (- (* z z) (* x x)))
9.0ms
(/ (* y (- (* z z) (* x x))) (- z x))

series92.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ x (/ (* y (- (* z z) (* x x))) (- z x)))
9.0ms
(- (* z z) (* x x))
25.0ms
(* y (- (* z z) (* x x)))
31.0ms
(/ (* y (- (* z z) (* x x))) (- z x))

simplify40.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05370927

prune120.0ms

Filtered
62 candidates to 88 candidates (-41.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New88088
Fresh022
Picked011
Done011
Total88492

Merged error: 0.0b

Counts
92 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (+ x z))
0.2b
(* (sqrt (* y (+ x z))) (sqrt (* y (+ x z))))
2.7b
(sqrt (* y (+ x z)))
2.7b
(sqrt (* y (+ x z)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×sqrt-div
14×add-sqr-sqrt
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-+ flip-+
8×add-exp-log associate-*r* add-cbrt-cube
7×associate-*l*
6×sqrt-prod pow-sqr
4×frac-times swap-sqr add-log-exp
2×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
Counts
4 → 106
Calls
4 calls:
9.0ms
(* y (+ x z))
21.0ms
(* (sqrt (* y (+ x z))) (sqrt (* y (+ x z))))
7.0ms
(sqrt (* y (+ x z)))
7.0ms
(sqrt (* y (+ x z)))

series69.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* y (+ x z))
10.0ms
(* (sqrt (* y (+ x z))) (sqrt (* y (+ x z))))
26.0ms
(sqrt (* y (+ x z)))
23.0ms
(sqrt (* y (+ x z)))

simplify64.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04963888
14963888

prune140.0ms

Filtered
69 candidates to 118 candidates (-71.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1171118
Fresh101
Picked011
Done022
Total1184122

Merged error: 0.0b

Counts
122 → 4

regimes165.0ms

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

sample363.0ms

Algorithm
intervals
Results
182.0ms8000×body80valid
12.0ms565×body80invalid

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