Details

Time bar (total: 2.4s)

analyze72.0ms

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

sample15.0ms

Algorithm
intervals
Results
8.0ms256×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: 11.2b

Counts
2 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) (+ x (+ y 1.0)))
0.1b
(* (+ x y) (* (+ x y) (+ x (+ y 1.0))))
6.7b
(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
8.2b
(/ 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:
9.0ms
(* (+ x y) (+ x (+ y 1.0)))
13.0ms
(* (+ x y) (* (+ x y) (+ x (+ y 1.0))))
24.0ms
(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
15.0ms
(/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0)))))

series49.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (+ x y) (+ x (+ y 1.0)))
12.0ms
(* (+ x y) (* (+ x y) (+ x (+ y 1.0))))
18.0ms
(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
14.0ms
(/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0)))))

simplify65.0ms

Algorithm
egg-herbie
Counts
196 → 196
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
050053888

prune271.0ms

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: 4.2b

Counts
198 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) (+ x (+ y 1.0)))
0.0b
(/ x (+ y x))
0.0b
(* (/ x (+ y x)) (/ y (* (+ x y) (+ x (+ y 1.0)))))
15.1b
(/ y (* (+ x y) (+ x (+ y 1.0))))

rewrite49.0ms

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:
9.0ms
(* (+ x y) (+ x (+ y 1.0)))
5.0ms
(/ x (+ y x))
19.0ms
(* (/ x (+ y x)) (/ y (* (+ x y) (+ x (+ y 1.0)))))
10.0ms
(/ y (* (+ x y) (+ x (+ y 1.0))))

series44.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (+ x y) (+ x (+ y 1.0)))
5.0ms
(/ x (+ y x))
22.0ms
(* (/ x (+ y x)) (/ y (* (+ x y) (+ x (+ y 1.0)))))
11.0ms
(/ y (* (+ x y) (+ x (+ y 1.0))))

simplify53.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050372281

prune184.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1595164
Fresh7310
Picked101
Done000
Total1678175

Merged error: 0.0b

Counts
175 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ y x))
0.0b
(/ x (+ y x))
0.0b
(* (/ x (+ y x)) (* (/ 1 (+ y x)) (/ y (+ y (+ x 1.0)))))
0.1b
(* (/ 1 (+ y x)) (/ y (+ y (+ x 1.0))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
105×add-exp-log
92×*-un-lft-identity
70×times-frac
64×add-sqr-sqrt
61×add-cbrt-cube
47×add-cube-cbrt
42×prod-exp
36×div-exp associate-*l*
23×distribute-lft-out
22×associate-*r* cbrt-unprod
19×cbrt-undiv
12×pow1
10×associate-/r/
8×associate-/r*
7×rec-exp 1-exp
6×frac-times associate-*r/ associate-/l* unswap-sqr
5×flip3-+ flip-+ div-inv
4×pow-prod-down associate-*l/ add-log-exp
2×frac-2neg clear-num *-commutative
1×pow-flip inv-pow
Counts
4 → 203
Calls
4 calls:
5.0ms
(/ 1 (+ y x))
5.0ms
(/ x (+ y x))
18.0ms
(* (/ x (+ y x)) (* (/ 1 (+ y x)) (/ y (+ y (+ x 1.0)))))
19.0ms
(* (/ 1 (+ y x)) (/ y (+ y (+ x 1.0))))

series39.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ 1 (+ y x))
5.0ms
(/ x (+ y x))
19.0ms
(* (/ x (+ y x)) (* (/ 1 (+ y x)) (/ y (+ y (+ x 1.0)))))
11.0ms
(* (/ 1 (+ y x)) (/ y (+ y (+ x 1.0))))

simplify41.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
051052625

prune191.0ms

Filtered
122 candidates to 215 candidates (-76.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New2105215
Fresh257
Picked101
Done000
Total21310223

Merged error: 0.0b

Counts
223 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ y x) y)
0.0b
(* (/ x (+ y x)) (/ 1 (* (/ (+ y x) y) (+ y (+ x 1.0)))))
0.1b
(* (/ (+ y x) y) (+ y (+ x 1.0)))
0.3b
(/ 1 (* (/ (+ y x) y) (+ y (+ x 1.0))))

rewrite234.0ms

Algorithm
rewrite-expression-head
Rules
106×add-exp-log
59×*-un-lft-identity
52×add-cbrt-cube
44×add-sqr-sqrt times-frac
40×prod-exp
39×div-exp
34×add-cube-cbrt associate-*l*
18×cbrt-undiv
17×associate-*r*
16×cbrt-unprod
13×distribute-lft-out
12×associate-/r/
11×pow1
9×rec-exp 1-exp
8×flip3-+ flip-+
7×frac-times associate-*r/ associate-/l*
5×div-inv
4×associate-*l/ associate-/r* add-log-exp unswap-sqr
3×pow-prod-down
2×pow-flip frac-2neg clear-num *-commutative associate-/l/
1×distribute-rgt-in distribute-lft-in un-div-inv inv-pow
Counts
4 → 186
Calls
4 calls:
5.0ms
(/ (+ y x) y)
199.0ms
(* (/ x (+ y x)) (/ 1 (* (/ (+ y x) y) (+ y (+ x 1.0)))))
12.0ms
(* (/ (+ y x) y) (+ y (+ x 1.0)))
12.0ms
(/ 1 (* (/ (+ y x) y) (+ y (+ x 1.0))))

series41.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ (+ y x) y)
18.0ms
(* (/ x (+ y x)) (/ 1 (* (/ (+ y x) y) (+ y (+ x 1.0)))))
7.0ms
(* (/ (+ y x) y) (+ y (+ x 1.0)))
11.0ms
(/ 1 (* (/ (+ y x) y) (+ y (+ x 1.0))))

simplify83.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049752669
149752669

prune154.0ms

Filtered
121 candidates to 198 candidates (-63.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1962198
Fresh279
Picked101
Done000
Total1999208

Merged error: 0b

Counts
208 → 9

regimes110.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01921
11921

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

sample388.0ms

Algorithm
intervals
Results
270.0ms8000×body80valid

Profiling

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