Details

Time bar (total: 2.2s)

analyze41.0ms

Algorithm
search

sample24.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
0.0ms4×body80invalid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1477
2737
3927
41057
51287
61617
72107
82447
92447

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

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)))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))
0.4b
(/ 1.0 (* x 9.0))

rewrite19.0ms

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 → 78
Calls
4 calls:
4.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
5.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))
4.0ms
(/ 1.0 (* x 9.0))

series17.0ms

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

simplify46.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0439410
11919371
25002368

prune143.0ms

Filtered
65 candidates to 90 candidates (-38.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New81990
Fresh000
Picked101
Done000
Total82991

Merged error: 0.0b

Counts
91 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.0b
(- 1.0 (/ 1.0 (* x 9.0)))
0.3b
(/ (/ y 3.0) (sqrt x))
0.4b
(/ 1.0 (* x 9.0))

rewrite53.0ms

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 associate--l+ clear-num frac-sub
1×associate--l- prod-exp cbrt-unprod associate-/l/
Counts
4 → 172
Calls
4 calls:
29.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
4.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
7.0ms
(/ (/ y 3.0) (sqrt x))
6.0ms
(/ 1.0 (* x 9.0))

series24.0ms

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

simplify68.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
07751529
130131455
250021455

prune227.0ms

Filtered
124 candidates to 184 candidates (-48.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1822184
Fresh178
Picked101
Done000
Total1849193

Merged error: 0.0b

Counts
193 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
148×times-frac
101×add-sqr-sqrt
87×*-un-lft-identity
80×add-cube-cbrt
44×sqrt-prod
13×associate-/l*
10×add-log-exp
8×add-exp-log add-cbrt-cube div-inv
7×difference-of-squares
6×associate-/r*
4×diff-log distribute-lft-out--
3×pow1 cbrt-undiv sub-neg flip3-- div-exp flip--
2×associate--l+ frac-sub
1×associate--l- frac-2neg clear-num associate-/l/
Counts
3 → 152
Calls
3 calls:
34.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
6.0ms
(- 1.0 (/ 0.1111111111111111 x))
7.0ms
(/ (/ y 3.0) (sqrt x))

series19.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
3.0ms
(- 1.0 (/ 0.1111111111111111 x))
8.0ms
(/ (/ y 3.0) (sqrt x))

simplify63.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
07021400
125851333
250011333

prune390.0ms

Filtered
107 candidates to 161 candidates (-50.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1592161
Fresh268
Picked101
Done000
Total1628170

Merged error: 0.0b

Counts
170 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ 1.0 (* x 9.0)))
0.2b
(/ y (sqrt x))
0.4b
(* (/ 1 3.0) (/ y (sqrt x)))
0.4b
(/ 1.0 (* x 9.0))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt
60×times-frac
46×*-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 unswap-sqr
7×cbrt-undiv associate-/r*
6×pow1 associate-/l* add-log-exp
5×cbrt-unprod
4×div-inv
2×rec-exp frac-2neg 1-exp clear-num
1×frac-times sub-neg flip3-- diff-log associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 142
Calls
4 calls:
5.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
4.0ms
(/ y (sqrt x))
13.0ms
(* (/ 1 3.0) (/ y (sqrt x)))
4.0ms
(/ 1.0 (* x 9.0))

series21.0ms

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

simplify74.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0654888
12972784
25001777

prune156.0ms

Filtered
103 candidates to 154 candidates (-49.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1531154
Fresh167
Picked011
Done000
Total1548162

Merged error: 0.0b

Counts
162 → 8

regimes112.0ms

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 (0.0ms)

IterNodesCost
0137
1137

end0.0ms

analyze42.0ms

Algorithm
search

sample532.0ms

Algorithm
intervals
Results
391.0ms8000×body80valid
5.0ms99×body80invalid

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