Details

Time bar (total: 2.5s)

analyze42.0ms

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

sample19.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify102.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (100.0ms)

IterNodesCost
0136714
1136714

prune7.0ms

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

localize9.0ms

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))

rewrite25.0ms

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:
11.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
4.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(/ 1.0 (* x 9.0))
5.0ms
(* 3.0 (sqrt x))

series25.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
11.0ms
(/ y (* 3.0 (sqrt x)))
2.0ms
(/ 1.0 (* x 9.0))
4.0ms
(* 3.0 (sqrt x))

simplify32.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
050261015

prune184.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New86995
Fresh000
Picked101
Done000
Total87996

Merged error: 0.0b

Counts
96 → 9

localize11.0ms

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))

series24.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
6.0ms
(/ 1.0 (* x 9.0))
9.0ms
(/ (/ y 3.0) (sqrt x))

simplify71.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049582314
149582314

prune429.0ms

Filtered
113 candidates to 165 candidates (-46.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1650165
Fresh088
Picked011
Done000
Total1659174

Merged error: 0.0b

Counts
174 → 9

localize10.0ms

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
(/ y (sqrt x))
0.3b
(/ 1.0 (* x 9.0))
0.4b
(* (/ 1 3.0) (/ y (sqrt x)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
60×times-frac
44×*-un-lft-identity
41×add-cube-cbrt
33×add-exp-log
24×sqrt-prod
23×add-cbrt-cube
22×associate-*r*
13×associate-*l*
11×div-exp
9×prod-exp add-log-exp unswap-sqr
7×cbrt-undiv associate-/r*
6×pow1 frac-sub associate-/l*
5×cbrt-unprod
4×flip3-- flip-- div-inv
3×frac-times diff-log associate-*r/ associate-*l/
2×sub-neg rec-exp frac-2neg 1-exp clear-num
1×associate--l- pow-prod-down associate--l+ *-commutative
Counts
4 → 148
Calls
4 calls:
8.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
4.0ms
(/ y (sqrt x))
4.0ms
(/ 1.0 (* x 9.0))
15.0ms
(* (/ 1 3.0) (/ y (sqrt x)))

series26.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
7.0ms
(/ y (sqrt x))
2.0ms
(/ 1.0 (* x 9.0))
8.0ms
(* (/ 1 3.0) (/ y (sqrt x)))

simplify41.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
051821775

prune249.0ms

Filtered
110 candidates to 160 candidates (-45.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1600160
Fresh077
Picked011
Done011
Total1609169

Merged error: 0.0b

Counts
169 → 9

localize12.0ms

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
(* 3.0 (sqrt x))
0.3b
(/ (/ 1.0 x) 9.0)

rewrite38.0ms

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))))
4.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))
6.0ms
(/ (/ 1.0 x) 9.0)

series23.0ms

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

simplify56.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049651644
149651644

prune244.0ms

Filtered
116 candidates to 144 candidates (-24.1%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1422144
Fresh246
Picked011
Done022
Total1449153

Merged error: 0b

Counts
153 → 9

regimes123.0ms

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
09714
19714

end0.0ms

sample569.0ms

Algorithm
intervals
Results
404.0ms8000×body80valid
8.0ms110×body80invalid

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