Details

Time bar (total: 1.4s)

analyze39.0ms

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
18.7%81.2%0.1%5
65.6%34.3%0.1%6
76.5%23.4%0.1%7
82%18%0.1%8
87.8%12.1%0.1%9
90.7%9.2%0.1%10
93.8%6.1%0.1%11
95.3%4.6%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify175.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (173.0ms)

IterNodesCost
054817

prune13.0ms

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: 0.0b

Counts
2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 100.0 (+ x y))
0.1b
(* x (/ 100.0 (+ x y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
4×pow1 associate-/r* associate-/r/
3×associate-*l* associate-/l*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 70
Calls
2 calls:
5.0ms
(/ 100.0 (+ x y))
9.0ms
(* x (/ 100.0 (+ x y)))

series11.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 100.0 (+ x y))
6.0ms
(* x (/ 100.0 (+ x y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05102603

prune100.0ms

Filtered
51 candidates to 76 candidates (-49.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New72476
Fresh011
Picked011
Done000
Total72678

Merged error: 0.0b

Counts
78 → 6

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (* x 100.0) (+ x y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×add-exp-log add-cbrt-cube
4×times-frac associate-/r*
3×add-sqr-sqrt add-cube-cbrt
2×cbrt-undiv div-exp associate-/r/ distribute-lft-out
1×pow1 frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ div-inv associate-/l* add-log-exp
Counts
1 → 25
Calls
1 calls:
6.0ms
(/ (* x 100.0) (+ x y))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(/ (* x 100.0) (+ x y))

simplify47.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05400218

prune33.0ms

Filtered
16 candidates to 28 candidates (-75.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New27128
Fresh314
Picked011
Done011
Total30434

Merged error: 0b

Counts
34 → 4

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) 100.0)
0.2b
(/ x (/ (+ x y) 100.0))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
92×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
16×distribute-lft-out
9×add-exp-log add-cbrt-cube
7×associate-/l*
6×div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×flip3-+ associate-/r/ flip-+
Counts
2 → 115
Calls
2 calls:
5.0ms
(/ (+ x y) 100.0)
7.0ms
(/ x (/ (+ x y) 100.0))

series10.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (+ x y) 100.0)
6.0ms
(/ x (/ (+ x y) 100.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049941410
149941410

prune131.0ms

Filtered
85 candidates to 121 candidates (-42.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1210121
Fresh011
Picked011
Done022
Total1214125

Merged error: 0b

Counts
125 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 100.0 (- (* x x) (* y y)))
4.0b
(- (* x x) (* y y))
8.9b
(* (* x (/ 100.0 (- (* x x) (* y y)))) (- x y))
18.5b
(* x (/ 100.0 (- (* x x) (* y y))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
25×*-un-lft-identity times-frac
23×add-cube-cbrt associate-*r*
20×add-exp-log add-cbrt-cube
11×pow1
9×difference-of-squares
7×prod-exp cbrt-unprod
6×associate-*r/ add-log-exp
5×flip3-- flip--
4×associate-*l* pow-prod-down associate-/r* associate-/r/
3×cbrt-undiv sub-neg div-exp associate-/l*
2×frac-times *-commutative div-inv unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in diff-log associate-*l/ clear-num distribute-lft-out--
Counts
4 → 111
Calls
4 calls:
6.0ms
(/ 100.0 (- (* x x) (* y y)))
4.0ms
(- (* x x) (* y y))
12.0ms
(* (* x (/ 100.0 (- (* x x) (* y y)))) (- x y))
10.0ms
(* x (/ 100.0 (- (* x x) (* y y))))

series32.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ 100.0 (- (* x x) (* y y)))
6.0ms
(- (* x x) (* y y))
11.0ms
(* (* x (/ 100.0 (- (* x x) (* y y)))) (- x y))
9.0ms
(* x (/ 100.0 (- (* x x) (* y y))))

simplify38.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
055191403

prune133.0ms

Filtered
89 candidates to 123 candidates (-38.2%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1230123
Fresh000
Picked011
Done033
Total1234127

Merged error: 0b

Counts
127 → 4

regimes112.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0267
1267

end0.0ms

sample338.0ms

Algorithm
intervals
Results
202.0ms8000×body80valid

Profiling

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