Details

Time bar (total: 1.5s)

analyze35.0ms (2.3%)

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
50%50%0.1%6
68.7%31.2%0.1%7
81.2%18.7%0.1%8
89%10.9%0.1%9
92.1%7.8%0.1%10
95.6%4.3%0.1%11
96.4%3.5%0.1%12
98%1.9%0.1%13
98.2%1.7%0.1%14

sample14.0ms (0.9%)

Algorithm
intervals
Results
7.0ms256×body80valid

simplify73.0ms (4.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
048899
148899

prune12.0ms (0.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
5.2b
(* x (* 2.0 (/ y (- x y))))

rewrite16.0ms (1%)

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt *-un-lft-identity
15×times-frac
13×add-exp-log add-cube-cbrt add-cbrt-cube
pow1
prod-exp associate-/r* cbrt-unprod
distribute-lft-out-- difference-of-squares
associate-*l* pow-prod-down associate-/l*
cbrt-undiv associate-*r/ div-exp associate-/r/ add-log-exp
flip3-- frac-2neg associate-*r* clear-num *-commutative flip-- div-inv
Counts
2 → 58
Calls

2 calls:

9.0ms
(* x (* 2.0 (/ y (- x y))))
5.0ms
(/ y (- x y))

series13.0ms (0.9%)

Counts
2 → 6
Calls

2 calls:

8.0ms
(* x (* 2.0 (/ y (- x y))))
5.0ms
(/ y (- x y))

simplify29.0ms (1.9%)

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
05332545

prune86.0ms (5.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New60464
Fresh011
Picked011
Done000
Total60666

Merged error: 0.0b

Counts
66 → 6

localize7.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- x y))
0.2b
(* y (/ 1 (- x y)))
5.2b
(* x (* 2.0 (* y (/ 1 (- x y)))))

rewrite31.0ms (2%)

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
39×*-un-lft-identity
38×add-exp-log
32×times-frac
24×add-cube-cbrt add-cbrt-cube
22×associate-*r*
19×prod-exp
15×pow1
11×cbrt-unprod
pow-prod-down distribute-lft-out-- difference-of-squares
associate-*r/ div-exp associate-*l*
associate-/r*
associate-/r/
cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
flip3-- un-div-inv *-commutative flip-- div-inv
pow-flip frac-2neg clear-num inv-pow
Counts
3 → 112
Calls

3 calls:

11.0ms
(* x (* 2.0 (* y (/ 1 (- x y)))))
10.0ms
(* y (/ 1 (- x y)))
5.0ms
(/ 1 (- x y))

series17.0ms (1.1%)

Counts
3 → 9
Calls

3 calls:

8.0ms
(* x (* 2.0 (* y (/ 1 (- x y)))))
5.0ms
(* y (/ 1 (- x y)))
4.0ms
(/ 1 (- x y))

simplify48.0ms (3.1%)

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
06376902

prune146.0ms (9.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh044
Picked011
Done011
Total1216127

Merged error: 0.0b

Counts
127 → 6

localize10.0ms (0.6%)

Local error

Found 4 expressions with local error:

5.2b
(* x (* 2.0 (* (* (cbrt (/ y (- x y))) (cbrt (/ y (- x y)))) (cbrt (/ y (- x y))))))
5.5b
(cbrt (/ y (- x y)))
5.5b
(cbrt (/ y (- x y)))
5.5b
(cbrt (/ y (- x y)))

rewrite46.0ms (3%)

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
50×add-sqr-sqrt *-un-lft-identity
45×times-frac
32×add-cube-cbrt
18×pow1 add-exp-log
17×associate-*r/
15×cbrt-div
14×add-cbrt-cube
10×pow-prod-down prod-exp cbrt-unprod
distribute-lft-out-- difference-of-squares
associate-/r/
frac-times associate-*l/
add-log-exp
flip3-- pow1/3 associate-*l* flip-- div-inv
associate-*r* *-commutative
Counts
4 → 121
Calls

4 calls:

27.0ms
(* x (* 2.0 (* (* (cbrt (/ y (- x y))) (cbrt (/ y (- x y)))) (cbrt (/ y (- x y))))))
5.0ms
(cbrt (/ y (- x y)))
5.0ms
(cbrt (/ y (- x y)))
5.0ms
(cbrt (/ y (- x y)))

series100.0ms (6.4%)

Counts
4 → 12
Calls

4 calls:

32.0ms
(cbrt (/ y (- x y)))
29.0ms
(cbrt (/ y (- x y)))
29.0ms
(cbrt (/ y (- x y)))
11.0ms
(* x (* 2.0 (* (* (cbrt (/ y (- x y))) (cbrt (/ y (- x y)))) (cbrt (/ y (- x y))))))

simplify58.0ms (3.8%)

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049491463
149491463

prune151.0ms (9.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1330133
Fresh033
Picked011
Done022
Total1336139

Merged error: 0.0b

Counts
139 → 6

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

11.4b
(/ (* (* x 2.0) y) (- x y))

rewrite9.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
times-frac associate-/r*
cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
associate-/r/ distribute-lft-out-- difference-of-squares
pow1 flip3-- frac-2neg clear-num flip-- div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls

1 calls:

8.0ms
(/ (* (* x 2.0) y) (- x y))

series9.0ms (0.6%)

Counts
1 → 3
Calls

1 calls:

9.0ms
(/ (* (* x 2.0) y) (- x y))

simplify58.0ms (3.7%)

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
06261313

prune54.0ms (3.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New29332
Fresh202
Picked011
Done123
Total32638

Merged error: 0b

Counts
38 → 6

regimes173.0ms (11.2%)

Accuracy

Total 1.4b remaining (99.1%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05076
15076

end0.0ms (0%)

sample342.0ms (22%)

Algorithm
intervals
Results
221.0ms8000×body80valid

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