Details

Time bar (total: 1.1s)

analyze59.0ms

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
25%74.9%0.1%5
40.6%59.3%0.1%6
53.1%45.3%1.7%7
64%31.2%4.8%8
70.2%21.9%7.9%9
75.7%15.2%9.1%10
78.8%10.5%10.6%11
81.6%7.5%10.9%12
83.1%5.2%11.7%13
84.5%3.7%11.8%14

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
0.0msbody80invalid

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1203
2283
3363
4543
51013
61503
71673
82423
94683
1015473
1150013

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x y) x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
4.0ms
(+ (* x y) x)

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(+ (* x y) x)

simplify73.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 3 (20.0ms)

IterNodesCost
07457
121850
265850
3187549
4500149

prune16.0ms

Filtered
10 candidates to 14 candidates (-40.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New13114
Fresh000
Picked011
Done000
Total13215

Merged error: 0.0b

Counts
15 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x y) x)
0.1b
(* y (* x y))
2.4b
(* x (- (* y (* x y)) x))
29.1b
(/ (* x (- (* y (* x y)) x)) (- (* x y) x))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
11×pow1 add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
associate-*l* add-log-exp
prod-exp cbrt-unprod
flip3-- associate-*r/ associate-*r* pow-prod-down flip--
sub-neg times-frac associate-/r*
cbrt-undiv distribute-rgt-in distribute-lft-in div-exp associate-/r/ *-commutative associate-/l/
frac-2neg diff-log clear-num div-inv associate-/l* unswap-sqr
Counts
4 → 79
Calls
4 calls:
3.0ms
(- (* x y) x)
5.0ms
(* y (* x y))
8.0ms
(* x (- (* y (* x y)) x))
13.0ms
(/ (* x (- (* y (* x y)) x)) (- (* x y) x))

series40.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(- (* x y) x)
4.0ms
(* y (* x y))
13.0ms
(* x (- (* y (* x y)) x))
19.0ms
(/ (* x (- (* y (* x y)) x)) (- (* x y) x))

simplify55.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0322546
11686468
25003459

prune76.0ms

Filtered
60 candidates to 91 candidates (-51.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New89291
Fresh000
Picked101
Done011
Total90393

Merged error: 0b

Counts
93 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x y) x)
0.0b
(* x (/ (- (* y (* x y)) x) (- (* x y) x)))
0.1b
(* y (* x y))
6.9b
(/ (- (* y (* x y)) x) (- (* x y) x))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
19×times-frac
16×add-exp-log associate-*r* add-cbrt-cube
11×pow1
associate-*l* add-log-exp
prod-exp cbrt-unprod
flip3-- pow-prod-down associate-/r/ flip--
associate-/r* associate-/l*
cbrt-undiv div-exp *-commutative div-inv associate-/l/ unswap-sqr
sub-neg frac-2neg diff-log div-sub associate-*r/ clear-num
Counts
4 → 96
Calls
4 calls:
3.0ms
(- (* x y) x)
12.0ms
(* x (/ (- (* y (* x y)) x) (- (* x y) x)))
5.0ms
(* y (* x y))
10.0ms
(/ (- (* y (* x y)) x) (- (* x y) x))

series36.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- (* x y) x)
18.0ms
(* x (/ (- (* y (* x y)) x) (- (* x y) x)))
3.0ms
(* y (* x y))
8.0ms
(/ (- (* y (* x y)) x) (- (* x y) x))

simplify52.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0362814
11793726
25001716

prune85.0ms

Filtered
76 candidates to 108 candidates (-42.1%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1071108
Fresh101
Picked101
Done101
Total1101111

Merged error: 0b

Counts
111 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (+ y 1))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
associate-*r*
pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
associate-*r/
distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
5.0ms
(* x (+ y 1))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* x (+ y 1))

simplify44.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
012682
157072
2220172
3500172

prune23.0ms

Filtered
16 candidates to 26 candidates (-62.5%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New26026
Fresh000
Picked011
Done000
Total26127

Merged error: 0b

Counts
27 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113
1113

end0.0ms

analyze59.0ms

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
25%74.9%0.1%5
40.6%59.3%0.1%6
53.1%45.3%1.7%7
64%31.2%4.8%8
70.2%21.9%7.9%9
75.7%15.2%9.1%10
78.8%10.5%10.6%11
81.6%7.5%10.9%12
83.1%5.2%11.7%13
84.5%3.7%11.8%14

sample289.0ms

Algorithm
intervals
Results
167.0ms7996×body80valid
1.0ms63×body80invalid
0.0msbody640valid
0.0msbody1280valid
0.0msbody160valid

Profiling

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