Details

Time bar (total: 3.3s)

sample40.0ms

Algorithm
intervals
Results
15.0ms257×body80nan
11.0ms267×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1477
2737
3927
41057
51287
61617
72107
82447
92447

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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)))
0.3b
(/ y (* 3.0 (sqrt x)))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(* 3.0 (sqrt x))

rewrite21.0ms

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

series157.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
58.0ms
(/ y (* 3.0 (sqrt x)))
22.0ms
(/ 1.0 (* x 9.0))
39.0ms
(* 3.0 (sqrt x))

simplify49.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0425414
11696363
25001355

prune207.0ms

Filtered
90 candidates to 64 candidates (71.1%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New791190
Fresh000
Picked101
Done000
Total801191

Merged error: 0.0b

Counts
91 → 11

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

rewrite59.0ms

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:
30.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
5.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
4.0ms
(/ 1.0 (* x 9.0))
12.0ms
(/ (/ y 3.0) (sqrt x))

series162.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
37.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
16.0ms
(/ 1.0 (* x 9.0))
63.0ms
(/ (/ y 3.0) (sqrt x))

simplify74.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07711529
129431446
250011446

prune355.0ms

Filtered
184 candidates to 124 candidates (67.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1831184
Fresh2810
Picked011
Done000
Total18510195

Merged error: 0.0b

Counts
195 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ (/ 1.0 x) 9.0))
0.3b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 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 → 129
Calls
4 calls:
13.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
5.0ms
(/ y (* 3.0 (sqrt x)))
5.0ms
(* 3.0 (sqrt x))
6.0ms
(/ (/ 1.0 x) 9.0)

series153.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
61.0ms
(/ y (* 3.0 (sqrt x)))
44.0ms
(* 3.0 (sqrt x))
16.0ms
(/ (/ 1.0 x) 9.0)

simplify67.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0660806
12588746
25001746

prune307.0ms

Filtered
141 candidates to 107 candidates (75.9%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1392141
Fresh268
Picked011
Done011
Total14110151

Merged error: 0.0b

Counts
151 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ 1.0 (* x 9.0)))
0.3b
(/ y (sqrt x))
0.3b
(/ 1.0 (* x 9.0))
0.4b
(* (/ 1 3.0) (/ y (sqrt x)))

rewrite32.0ms

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))
4.0ms
(/ 1.0 (* x 9.0))
13.0ms
(* (/ 1 3.0) (/ y (sqrt x)))

series163.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
49.0ms
(/ y (sqrt x))
16.0ms
(/ 1.0 (* x 9.0))
65.0ms
(* (/ 1 3.0) (/ y (sqrt x)))

simplify74.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0637901
12885782
25001775

prune269.0ms

Filtered
154 candidates to 102 candidates (66.2%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1540154
Fresh077
Picked011
Done022
Total15410164

Merged error: 0.0b

Counts
164 → 10

regimes71.0ms

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

sample956.0ms

Algorithm
intervals
Results
340.0ms8522×body80valid
331.0ms8695×body80nan

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