Details

Time bar (total: 3.6s)

sample36.0ms

Algorithm
intervals
Results
10.0ms305×body80nan
10.0ms277×body80valid

simplify31.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1477
2737
3927
41057
51287
61617
72107
82447
92447

prune3.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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 associate--l+ clear-num associate-/r* frac-sub flip-- div-inv unswap-sqr
1×associate--l- pow-prod-down *-commutative difference-of-squares
Counts
4 → 85
Calls
4 calls:
11.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
5.0ms
(* 3.0 (sqrt x))
6.0ms
(/ y (* 3.0 (sqrt x)))
5.0ms
(/ 1.0 (* x 9.0))

series200.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
45.0ms
(* 3.0 (sqrt x))
75.0ms
(/ y (* 3.0 (sqrt x)))
21.0ms
(/ 1.0 (* x 9.0))

simplify68.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0516590
12039534
25001532

prune254.0ms

Filtered
97 candidates to 70 candidates (72.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New89897
Fresh000
Picked101
Done000
Total90898

Merged error: 0.0b

Counts
98 → 8

localize14.0ms

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))

rewrite56.0ms

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 associate--l+ clear-num frac-sub flip--
1×associate--l- prod-exp cbrt-unprod associate-/l/
Counts
3 → 158
Calls
3 calls:
34.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
5.0ms
(/ 1.0 (* x 9.0))
9.0ms
(/ (/ y 3.0) (sqrt x))

series151.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
19.0ms
(/ 1.0 (* x 9.0))
74.0ms
(/ (/ y 3.0) (sqrt x))

simplify87.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07601441
129241358
250011358

prune376.0ms

Filtered
167 candidates to 112 candidates (67.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1670167
Fresh077
Picked011
Done000
Total1678175

Merged error: 0.0b

Counts
175 → 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
(* 3.0 (sqrt x))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(/ (/ 1.0 x) 9.0)

rewrite49.0ms

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 associate--l+ clear-num frac-sub flip-- cbrt-unprod unswap-sqr
1×associate--l- pow-prod-down *-commutative associate-/l/ difference-of-squares
Counts
4 → 134
Calls
4 calls:
22.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
5.0ms
(* 3.0 (sqrt x))
5.0ms
(/ y (* 3.0 (sqrt x)))
7.0ms
(/ (/ 1.0 x) 9.0)

series192.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
49.0ms
(* 3.0 (sqrt x))
68.0ms
(/ y (* 3.0 (sqrt x)))
20.0ms
(/ (/ 1.0 x) 9.0)

simplify93.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
0741956
12914892
25001892

prune371.0ms

Filtered
146 candidates to 112 candidates (76.7%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1433146
Fresh156
Picked011
Done011
Total14410154

Merged error: 0.0b

Counts
154 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (sqrt x))
0.2b
(/ (* 3.0 (sqrt x)) y)
0.3b
(/ 1.0 (* x 9.0))
0.5b
(/ 1 (/ (* 3.0 (sqrt x)) y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
37×add-exp-log
31×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
25×add-cbrt-cube
16×div-exp
11×associate-/r*
9×cbrt-undiv
7×pow1 div-inv associate-/l*
6×associate-*r* prod-exp
4×sqrt-prod cbrt-unprod add-log-exp
3×rec-exp frac-2neg 1-exp associate-*l* clear-num
2×unswap-sqr
1×pow-flip pow-prod-down associate-/r/ *-commutative inv-pow
Counts
4 → 120
Calls
4 calls:
5.0ms
(* 3.0 (sqrt x))
6.0ms
(/ (* 3.0 (sqrt x)) y)
5.0ms
(/ 1.0 (* x 9.0))
8.0ms
(/ 1 (/ (* 3.0 (sqrt x)) y))

series215.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* 3.0 (sqrt x))
80.0ms
(/ (* 3.0 (sqrt x)) y)
19.0ms
(/ 1.0 (* x 9.0))
70.0ms
(/ 1 (/ (* 3.0 (sqrt x)) y))

simplify89.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
0608748
12921637
25001600

prune244.0ms

Filtered
132 candidates to 78 candidates (59.1%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1311132
Fresh257
Picked011
Done022
Total1339142

Merged error: 0.0b

Counts
142 → 9

regimes78.0ms

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 (0.0ms)

IterNodesCost
0137
1137

end0.0ms

sample890.0ms

Algorithm
intervals
Results
314.0ms8537×body80valid
291.0ms8649×body80nan