Details

Time bar (total: 1.6s)

analyze270.0ms (16.6%)

Algorithm
1×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

sample18.0ms (1.1%)

Algorithm
1×intervals
Results
6.0ms256×body80valid
1.0ms33×body80invalid

simplify14.0ms (0.9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (12.0ms)

IterNodesCost
03567
13567

prune6.0ms (0.4%)

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 (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r- flip3-+ div-sub sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 13
Calls

1 calls:

9.0ms
(+ x (/ (- y x) z))

series7.0ms (0.4%)

Counts
1 → 3
Calls

1 calls:

7.0ms
(+ x (/ (- y x) z))

simplify42.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05022157

prune29.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New13316
Fresh000
Picked011
Done000
Total13417

Merged error: 0.0b

Counts
17 → 4

localize10.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

rewrite51.0ms (3.2%)

Algorithm
1×rewrite-expression-head
Rules
34×*-un-lft-identity sqrt-prod
28×add-sqr-sqrt
21×pow1
16×sqrt-div
14×add-cube-cbrt
11×swap-sqr
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 associate-+r- pow-plus sqrt-unprod div-sub prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 107
Calls

4 calls:

22.0ms
(* (sqrt (+ x (/ (- y x) z))) (sqrt (+ x (/ (- y x) z))))
9.0ms
(sqrt (+ x (/ (- y x) z)))
9.0ms
(+ x (/ (- y x) z))
9.0ms
(sqrt (+ x (/ (- y x) z)))

series96.0ms (5.9%)

Counts
4 → 12
Calls

4 calls:

44.0ms
(sqrt (+ x (/ (- y x) z)))
39.0ms
(sqrt (+ x (/ (- y x) z)))
7.0ms
(* (sqrt (+ x (/ (- y x) z))) (sqrt (+ x (/ (- y x) z))))
6.0ms
(+ x (/ (- y x) z))

simplify35.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
050151349

prune128.0ms (7.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1181119
Fresh202
Picked101
Done011
Total1212123

Merged error: 0.0b

Counts
123 → 2

localize13.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (- x y) z))
0.2b
(* (/ (- y x) z) (/ (- x y) z))
5.2b
(+ (* x x) (* (/ (- y x) z) (/ (- x y) z)))
30.3b
(/ (+ (* x x) (* (/ (- y x) z) (/ (- x y) z))) (+ x (/ (- x y) z)))

rewrite50.0ms (3.1%)

Algorithm
1×rewrite-expression-head
Rules
55×add-sqr-sqrt
53×*-un-lft-identity
46×times-frac
31×add-cube-cbrt
19×associate-*r* associate-*l*
18×add-exp-log add-cbrt-cube
8×add-log-exp
6×pow1 distribute-lft-out-- difference-of-squares
5×cbrt-undiv div-exp distribute-lft-out
4×flip3-+ prod-exp associate-/r* cbrt-unprod flip-+ unswap-sqr
3×div-inv associate-/l*
2×+-commutative sum-log associate-/r/ associate-/l/
1×frac-times associate-+r- frac-2neg div-sub associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 121
Calls

4 calls:

17.0ms
(* (/ (- y x) z) (/ (- x y) z))
14.0ms
(/ (+ (* x x) (* (/ (- y x) z) (/ (- x y) z))) (+ x (/ (- x y) z)))
8.0ms
(+ x (/ (- x y) z))
5.0ms
(+ (* x x) (* (/ (- y x) z) (/ (- x y) z)))

series86.0ms (5.3%)

Counts
4 → 12
Calls

4 calls:

46.0ms
(/ (+ (* x x) (* (/ (- y x) z) (/ (- x y) z))) (+ x (/ (- x y) z)))
23.0ms
(+ (* x x) (* (/ (- y x) z) (/ (- x y) z)))
11.0ms
(* (/ (- y x) z) (/ (- x y) z))
6.0ms
(+ x (/ (- x y) z))

simplify36.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
050212474

prune132.0ms (8.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1330133
Fresh000
Picked011
Done011
Total1332135

Merged error: 0.0b

Counts
135 → 2

regimes159.0ms (9.8%)

Accuracy

Total 0.0b remaining (4.2%)

Threshold costs 0.0b (4.2%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1177

end0.0ms (0%)

sample426.0ms (26.2%)

Algorithm
1×intervals
Results
194.0ms8000×body80valid
35.0ms1409×body80invalid

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