Details

Time bar (total: 1.4s)

analyze57.0ms (4.1%)

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
25%74.9%0.1%5
25%56.2%18.8%6
25%40.6%34.4%7
31.2%31.2%37.6%8
39%21.1%39.9%9
42.9%16%41.1%10
47.2%10.7%42%11
49.4%8.1%42.5%12
51.6%5.4%43%13
52.7%4.1%43.2%14

sample14.0ms (1%)

Algorithm
1×intervals
Results
8.0ms256×body80valid
0.0ms2×body80invalid

simplify4.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0697
1697

prune4.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
19×*-un-lft-identity
8×pow1
7×add-sqr-sqrt
6×flip3-+ swap-sqr flip-+ distribute-lft-out
5×add-cube-cbrt
4×frac-times associate-*r* associate-*l*
3×add-exp-log add-cbrt-cube
2×associate-*r/ associate-*l/
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 40
Calls

1 calls:

8.0ms
(* (+ x y) (+ x y))

series4.0ms (0.3%)

Counts
1 → 3
Calls

1 calls:

4.0ms
(* (+ x y) (+ x y))

simplify26.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
05592356

prune61.0ms (4.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New40343
Fresh000
Picked011
Done000
Total40444

Merged error: 0.0b

Counts
44 → 4

localize5.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite20.0ms (1.5%)

Algorithm
1×rewrite-expression-head
Rules
12×associate-*r/
11×add-sqr-sqrt *-un-lft-identity
8×associate-*r*
7×pow1 add-exp-log add-cube-cbrt flip3-+ add-cbrt-cube flip-+
6×associate-*l*
5×add-log-exp
4×distribute-rgt-in distribute-lft-in frac-add
2×associate-+l+ associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
1×+-commutative distribute-rgt-out sum-log
Counts
3 → 66
Calls

3 calls:

7.0ms
(+ (* x (+ x y)) (* y (+ x y)))
6.0ms
(* x (+ x y))
5.0ms
(* y (+ x y))

series15.0ms (1.1%)

Counts
3 → 9
Calls

3 calls:

6.0ms
(+ (* x (+ x y)) (* y (+ x y)))
4.0ms
(* y (+ x y))
4.0ms
(* x (+ x y))

simplify46.0ms (3.4%)

Algorithm
1×egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04841616
14841616

prune86.0ms (6.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New74175
Fresh112
Picked011
Done011
Total75479

Merged error: 0b

Counts
79 → 4

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite19.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
9×*-un-lft-identity
6×add-sqr-sqrt
5×associate-*r*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*l* distribute-lft-out
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 37
Calls

2 calls:

10.0ms
(+ (* x (+ x (+ y y))) (* y y))
9.0ms
(* x (+ x (+ y y)))

series13.0ms (1%)

Counts
2 → 6
Calls

2 calls:

8.0ms
(+ (* x (+ x (+ y y))) (* y y))
6.0ms
(* x (+ x (+ y y)))

simplify38.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05160383

prune46.0ms (3.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New43043
Fresh011
Picked011
Done022
Total43447

Merged error: 0b

Counts
47 → 4

localize7.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b
(* (pow (cbrt (+ x y)) 5) (cbrt (+ x y)))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
1.0b
(pow (cbrt (+ x y)) 5)

rewrite25.0ms (1.8%)

Algorithm
1×rewrite-expression-head
Rules
28×add-sqr-sqrt
26×cbrt-prod
24×*-un-lft-identity
18×unpow-prod-down
14×add-cube-cbrt
11×associate-*l*
10×add-exp-log
8×unswap-sqr
7×associate-*r*
6×pow1 cbrt-div
5×add-cbrt-cube distribute-lft-out
4×add-log-exp sqr-pow
3×pow-unpow flip3-+ pow1/3 prod-exp flip-+
2×pow-to-exp pow-pow associate-*r/ pow-exp
1×pow-plus *-commutative pow-prod-up cbrt-unprod
Counts
4 → 92
Calls

4 calls:

11.0ms
(* (pow (cbrt (+ x y)) 5) (cbrt (+ x y)))
6.0ms
(pow (cbrt (+ x y)) 5)
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))

series145.0ms (10.6%)

Counts
4 → 12
Calls

4 calls:

79.0ms
(pow (cbrt (+ x y)) 5)
30.0ms
(cbrt (+ x y))
30.0ms
(cbrt (+ x y))
6.0ms
(* (pow (cbrt (+ x y)) 5) (cbrt (+ x y)))

simplify60.0ms (4.4%)

Algorithm
1×egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05065923

prune145.0ms (10.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1040104
Fresh000
Picked011
Done033
Total1044108

Merged error: 0b

Counts
108 → 4

regimes257.0ms (18.8%)

Accuracy

Total 0.0b remaining (74.6%)

Threshold costs 0.0b (74.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11011

end0.0ms (0%)

sample252.0ms (18.4%)

Algorithm
1×intervals
Results
130.0ms8000×body80valid
2.0ms98×body80invalid

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