Details

Time bar (total: 2.3s)

analyze74.0ms

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
12.5%87.4%0.1%5
46.8%53.1%0.1%6
70.2%29.7%0.1%7
76.5%23.4%0.1%8
83.5%16.4%0.1%9
87%12.9%0.1%10
91.1%8.8%0.1%11
93.2%6.7%0.1%12
95.4%4.5%0.1%13
96.5%3.4%0.1%14

sample19.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
0528417

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.4b

Counts
2 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) (+ x (+ y 1.0)))
0.0b
(* (+ x y) (* (+ x y) (+ x (+ y 1.0))))
4.3b
(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
10.4b
(/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0)))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
88×frac-times
87×flip3-+ flip-+
52×associate-/r/
45×associate-*r/
39×associate-*r*
34×add-exp-log add-cbrt-cube
26×associate-*l/
21×*-un-lft-identity
16×add-sqr-sqrt
14×prod-exp cbrt-unprod
13×pow1
12×add-cube-cbrt
11×associate-*l*
6×cbrt-undiv times-frac div-exp
5×distribute-rgt-in distribute-lft-in pow-prod-down distribute-lft-out
4×add-log-exp
3×*-commutative associate-/l*
2×div-inv unswap-sqr
1×frac-2neg clear-num associate-/r*
Counts
4 → 184
Calls
4 calls:
12.0ms
(* (+ x y) (+ x (+ y 1.0)))
14.0ms
(* (+ x y) (* (+ x y) (+ x (+ y 1.0))))
22.0ms
(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
15.0ms
(/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0)))))

series45.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (+ x y) (+ x (+ y 1.0)))
8.0ms
(* (+ x y) (* (+ x y) (+ x (+ y 1.0))))
18.0ms
(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
13.0ms
(/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0)))))

simplify68.0ms

Algorithm
egg-herbie
Counts
196 → 196
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
050053888

prune273.0ms

Filtered
144 candidates to 196 candidates (-36.1%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New18610196
Fresh011
Picked101
Done000
Total18711198

Merged error: 1.3b

Counts
198 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ y x))
0.0b
(* (+ x y) (+ x (+ y 1.0)))
0.1b
(* (/ x (+ y x)) (/ y (* (+ x y) (+ x (+ y 1.0)))))
13.5b
(/ y (* (+ x y) (+ x (+ y 1.0))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
34×add-exp-log add-sqr-sqrt add-cbrt-cube
31×times-frac
27×add-cube-cbrt
22×associate-*l*
20×flip3-+ associate-*r* associate-/r/ flip-+
13×frac-times
11×distribute-lft-out
10×cbrt-undiv div-exp prod-exp cbrt-unprod
8×pow1
7×associate-*r/ associate-*l/
6×associate-/l*
5×associate-/r*
4×div-inv add-log-exp
3×unswap-sqr
2×frac-2neg pow-prod-down clear-num *-commutative
1×distribute-rgt-in distribute-lft-in
Counts
4 → 152
Calls
4 calls:
5.0ms
(/ x (+ y x))
9.0ms
(* (+ x y) (+ x (+ y 1.0)))
22.0ms
(* (/ x (+ y x)) (/ y (* (+ x y) (+ x (+ y 1.0)))))
9.0ms
(/ y (* (+ x y) (+ x (+ y 1.0))))

series38.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ x (+ y x))
6.0ms
(* (+ x y) (+ x (+ y 1.0)))
18.0ms
(* (/ x (+ y x)) (/ y (* (+ x y) (+ x (+ y 1.0)))))
10.0ms
(/ y (* (+ x y) (+ x (+ y 1.0))))

simplify52.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
050372281

prune180.0ms

Filtered
123 candidates to 164 candidates (-33.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1586164
Fresh9110
Picked101
Done000
Total1687175

Merged error: 0.0b

Counts
175 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ y x))
0.0b
(/ y (+ y x))
0.1b
(/ (/ y (+ y x)) (+ x (+ y 1.0)))
0.1b
(* (/ x (+ y x)) (/ (/ y (+ y x)) (+ x (+ y 1.0))))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
429×*-un-lft-identity
357×times-frac
177×add-sqr-sqrt
156×add-cube-cbrt
155×distribute-lft-out
96×associate-*r*
34×add-exp-log add-cbrt-cube
32×associate-/r/
24×associate-/l*
18×associate-*l*
16×flip3-+ flip-+ div-inv
14×cbrt-undiv div-exp
13×associate-/r*
6×pow1 prod-exp cbrt-unprod unswap-sqr
4×add-log-exp
3×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 340
Calls
4 calls:
5.0ms
(/ x (+ y x))
5.0ms
(/ y (+ y x))
12.0ms
(/ (/ y (+ y x)) (+ x (+ y 1.0)))
48.0ms
(* (/ x (+ y x)) (/ (/ y (+ y x)) (+ x (+ y 1.0))))

series39.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ x (+ y x))
5.0ms
(/ y (+ y x))
11.0ms
(/ (/ y (+ y x)) (+ x (+ y 1.0)))
18.0ms
(* (/ x (+ y x)) (/ (/ y (+ y x)) (+ x (+ y 1.0))))

simplify69.0ms

Algorithm
egg-herbie
Counts
352 → 352
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
051455703

prune296.0ms

Filtered
207 candidates to 352 candidates (-70.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3502352
Fresh156
Picked101
Done000
Total3527359

Merged error: 0.0b

Counts
359 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ y (+ x y))
0.0b
(* (/ x (+ x y)) (/ y (+ x y)))
0.1b
(/ (* (/ x (+ x y)) (/ y (+ x y))) (+ x (+ y 1.0)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity
57×times-frac
52×add-sqr-sqrt
40×add-cube-cbrt
38×add-exp-log add-cbrt-cube
20×distribute-lft-out
18×associate-*r* associate-*l*
15×cbrt-undiv div-exp
13×associate-/r*
10×associate-/r/
8×prod-exp cbrt-unprod
7×associate-/l*
6×pow1
5×flip3-+ flip-+ div-inv
4×add-log-exp unswap-sqr
3×frac-2neg clear-num associate-/l/
2×frac-times associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 162
Calls
4 calls:
5.0ms
(/ x (+ x y))
5.0ms
(/ y (+ x y))
18.0ms
(* (/ x (+ x y)) (/ y (+ x y)))
15.0ms
(/ (* (/ x (+ x y)) (/ y (+ x y))) (+ x (+ y 1.0)))

series38.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ x (+ x y))
5.0ms
(/ y (+ x y))
10.0ms
(* (/ x (+ x y)) (/ y (+ x y)))
18.0ms
(/ (* (/ x (+ x y)) (/ y (+ x y))) (+ x (+ y 1.0)))

simplify50.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
049912003
149912003

prune126.0ms

Filtered
117 candidates to 174 candidates (-48.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1731174
Fresh156
Picked011
Done000
Total1747181

Merged error: 0b

Counts
181 → 7

regimes92.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01417
11417

end0.0ms

analyze75.0ms

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
12.5%87.4%0.1%5
46.8%53.1%0.1%6
70.2%29.7%0.1%7
76.5%23.4%0.1%8
83.5%16.4%0.1%9
87%12.9%0.1%10
91.1%8.8%0.1%11
93.2%6.7%0.1%12
95.4%4.5%0.1%13
96.5%3.4%0.1%14

sample407.0ms

Algorithm
intervals
Results
283.0ms8000×body80valid

Profiling

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