Details

Time bar (total: 2.3s)

analyze46.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%50%50%2
0%50%50%3
25%25%50%4
25%25%50%5
31.2%18.7%50%6
34.3%15.6%50%7
39%10.9%50%8
40.6%8.6%50.8%9
42.9%5.9%51.2%10
43.7%4.5%51.8%11
44.9%3%52.1%12
45.3%2.3%52.4%13
45.9%1.5%52.6%14

sample34.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
079914
179914

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(* 3.0 (sqrt x))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log *-un-lft-identity add-cbrt-cube
11×add-cube-cbrt
9×add-log-exp
6×pow1 times-frac associate-*r* associate-/l*
4×cbrt-undiv div-exp sqrt-prod
3×diff-log associate-*l* prod-exp cbrt-unprod distribute-lft-out--
2×sub-neg flip3-- frac-2neg clear-num associate-/r* frac-sub flip-- div-inv unswap-sqr
1×associate--l- pow-prod-down associate--l+ *-commutative difference-of-squares
Counts
4 → 83
Calls
4 calls:
10.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
5.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(/ 1.0 (* x 9.0))
7.0ms
(* 3.0 (sqrt x))

series23.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
8.0ms
(/ y (* 3.0 (sqrt x)))
2.0ms
(/ 1.0 (* x 9.0))
4.0ms
(* 3.0 (sqrt x))

simplify52.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04981999
14981999

prune160.0ms

Filtered
72 candidates to 95 candidates (-31.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New87895
Fresh000
Picked101
Done000
Total88896

Merged error: 0b

Counts
96 → 8

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(/ (/ y 3.0) (sqrt x))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
98×add-sqr-sqrt
87×*-un-lft-identity
82×add-cube-cbrt
44×sqrt-prod
16×associate-/l*
13×add-exp-log add-cbrt-cube
9×div-inv
8×add-log-exp
7×associate-/r*
5×cbrt-undiv div-exp difference-of-squares
3×pow1 diff-log distribute-lft-out--
2×sub-neg flip3-- frac-2neg clear-num frac-sub flip--
1×associate--l- prod-exp associate--l+ cbrt-unprod associate-/l/
Counts
3 → 156
Calls
3 calls:
30.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
4.0ms
(/ 1.0 (* x 9.0))
7.0ms
(/ (/ y 3.0) (sqrt x))

series22.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
2.0ms
(/ 1.0 (* x 9.0))
9.0ms
(/ (/ y 3.0) (sqrt x))

simplify64.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049672300
149672300

prune204.0ms

Filtered
114 candidates to 165 candidates (-44.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1650165
Fresh077
Picked011
Done000
Total1658173

Merged error: 0b

Counts
173 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(/ (/ 1.0 x) 9.0)
0.3b
(* 3.0 (sqrt x))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
57×add-sqr-sqrt
56×*-un-lft-identity
51×add-cube-cbrt
16×add-exp-log add-cbrt-cube associate-/l*
9×add-log-exp
6×pow1 associate-*r* div-inv
5×cbrt-undiv div-exp
4×associate-/r* sqrt-prod
3×diff-log associate-*l* distribute-lft-out--
2×sub-neg flip3-- frac-2neg prod-exp clear-num frac-sub flip-- cbrt-unprod unswap-sqr
1×associate--l- pow-prod-down associate--l+ *-commutative associate-/l/ difference-of-squares
Counts
4 → 132
Calls
4 calls:
19.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
5.0ms
(/ y (* 3.0 (sqrt x)))
6.0ms
(/ (/ 1.0 x) 9.0)
5.0ms
(* 3.0 (sqrt x))

series23.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
8.0ms
(/ y (* 3.0 (sqrt x)))
2.0ms
(/ (/ 1.0 x) 9.0)
4.0ms
(* 3.0 (sqrt x))

simplify75.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049701628
149701628

prune214.0ms

Filtered
114 candidates to 144 candidates (-26.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1440144
Fresh066
Picked011
Done011
Total1448152

Merged error: 0b

Counts
152 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ 1 (* (/ 3.0 y) (sqrt x))))
0.2b
(/ 1 (* (/ 3.0 y) (sqrt x)))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(* (/ 3.0 y) (sqrt x))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log
29×add-sqr-sqrt
25×*-un-lft-identity
23×add-cbrt-cube
17×add-cube-cbrt times-frac
13×associate-*l*
12×div-exp
9×pow1 prod-exp add-log-exp
7×cbrt-undiv
6×associate-*r* associate-/l* distribute-lft-out--
5×sqrt-prod cbrt-unprod div-inv
4×unswap-sqr
3×rec-exp diff-log 1-exp
2×sub-neg flip3-- pow-flip frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* frac-sub flip--
1×associate--l- associate--l+ associate-/r/ *-commutative inv-pow difference-of-squares
Counts
4 → 112
Calls
4 calls:
12.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ 1 (* (/ 3.0 y) (sqrt x))))
6.0ms
(/ 1 (* (/ 3.0 y) (sqrt x)))
4.0ms
(/ 1.0 (* x 9.0))
7.0ms
(* (/ 3.0 y) (sqrt x))

series28.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ 1 (* (/ 3.0 y) (sqrt x))))
9.0ms
(/ 1 (* (/ 3.0 y) (sqrt x)))
2.0ms
(/ 1.0 (* x 9.0))
9.0ms
(* (/ 3.0 y) (sqrt x))

simplify50.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049721293
149721293

prune131.0ms

Filtered
83 candidates to 124 candidates (-49.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1240124
Fresh055
Picked011
Done022
Total1248132

Merged error: 0b

Counts
132 → 8

regimes107.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05214
15214

end0.0ms

sample867.0ms

Algorithm
intervals
Results
317.0ms8000×body80valid

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