Details

Time bar (total: 1.9s)

analyze43.0ms

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
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

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×*-un-lft-identity
11×add-cube-cbrt
6×pow1 times-frac associate-*r* associate-/l* add-log-exp
4×cbrt-undiv div-exp sqrt-prod
3×associate-*l* prod-exp cbrt-unprod
2×frac-2neg clear-num associate-/r* div-inv unswap-sqr
1×sub-neg flip3-- diff-log pow-prod-down *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 77
Calls
4 calls:
5.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
5.0ms
(* 3.0 (sqrt x))
5.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(/ 1.0 (* x 9.0))

series18.0ms

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

simplify47.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05025703

prune134.0ms

Filtered
64 candidates to 89 candidates (-39.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New82789
Fresh000
Picked101
Done000
Total83790

Merged error: 0.0b

Counts
90 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
101×add-sqr-sqrt
90×*-un-lft-identity
83×add-cube-cbrt
44×sqrt-prod
16×associate-/l*
14×add-exp-log add-cbrt-cube
11×add-log-exp
9×div-inv
7×associate-/r*
6×difference-of-squares
5×cbrt-undiv div-exp
4×pow1 diff-log distribute-lft-out--
3×sub-neg flip3-- flip--
2×frac-2neg clear-num frac-sub
1×associate--l- prod-exp associate--l+ cbrt-unprod associate-/l/
Counts
4 → 169
Calls
4 calls:
5.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
31.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
9.0ms
(/ (/ y 3.0) (sqrt x))
4.0ms
(/ 1.0 (* x 9.0))

series26.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
9.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
9.0ms
(/ (/ y 3.0) (sqrt x))
2.0ms
(/ 1.0 (* x 9.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049982470
149982470

prune216.0ms

Filtered
125 candidates to 181 candidates (-44.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1801181
Fresh156
Picked101
Done000
Total1826188

Merged error: 0.0b

Counts
188 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
64×add-sqr-sqrt
53×*-un-lft-identity
51×add-cube-cbrt
16×add-exp-log add-cbrt-cube associate-/l*
6×pow1 associate-*r* div-inv add-log-exp
5×cbrt-undiv div-exp
4×associate-/r* sqrt-prod
3×associate-*l* difference-of-squares
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×sub-neg flip3-- diff-log pow-prod-down *-commutative flip-- associate-/l/ distribute-lft-out--
Counts
4 → 128
Calls
4 calls:
13.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
5.0ms
(* 3.0 (sqrt x))
5.0ms
(/ y (* 3.0 (sqrt x)))
6.0ms
(/ (/ 1.0 x) 9.0)

series21.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
6.0ms
(* 3.0 (sqrt x))
9.0ms
(/ y (* 3.0 (sqrt x)))
2.0ms
(/ (/ 1.0 x) 9.0)

simplify53.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
050731374

prune211.0ms

Filtered
113 candidates to 140 candidates (-23.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1382140
Fresh145
Picked011
Done000
Total1397146

Merged error: 0b

Counts
146 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
0.3b
(/ (/ y 3.0) (sqrt x))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
147×times-frac
95×add-sqr-sqrt
84×*-un-lft-identity
79×add-cube-cbrt
44×sqrt-prod
13×associate-/l*
8×div-inv
7×add-exp-log add-cbrt-cube add-log-exp
6×associate-/r*
5×difference-of-squares
3×cbrt-undiv diff-log div-exp distribute-lft-out--
2×pow1 sub-neg flip3-- frac-sub flip--
1×associate--l- frac-2neg associate--l+ clear-num associate-/l/
Counts
2 → 135
Calls
2 calls:
34.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
7.0ms
(/ (/ y 3.0) (sqrt x))

series21.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
11.0ms
(/ (/ y 3.0) (sqrt x))

simplify60.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049682078
149682078

prune148.0ms

Filtered
97 candidates to 141 candidates (-45.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1410141
Fresh055
Picked011
Done011
Total1417148

Merged error: 0b

Counts
148 → 7

regimes102.0ms

Accuracy

0% (0.2b 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
05214
15214

end0.0ms

sample476.0ms

Algorithm
intervals
Results
340.0ms8000×body80valid
3.0ms79×body80invalid

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