Details

Time bar (total: 2.4s)

sample28.0ms

Algorithm
intervals
Results
19.0ms437×body80valid

simplify277.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0137
1236
2354
3454
4544
5874
61564
72064
82194
93144
106444
1131974
1250014

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 3 (* y y)) (* x x))
0.2b
(* 3 (* y y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-log-exp
add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
6.0ms
(+ (* 3 (* y y)) (* x x))
6.0ms
(* 3 (* y y))

series60.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (* 3 (* y y)) (* x x))
24.0ms
(* 3 (* y y))

simplify77.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0164163
1658146
22429139
35003139

prune63.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 3 (* y y)) (* x x))
0.2b
(* 3 (* y y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-log-exp
add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
6.0ms
(+ (* 3 (* y y)) (* x x))
6.0ms
(* 3 (* y y))

series60.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (* 3 (* y y)) (* x x))
27.0ms
(* 3 (* y y))

simplify76.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0164163
1658146
22429139
35003139

prune66.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* 3 y) y) (* x x))
0.2b
(* (* 3 y) y)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
6.0ms
(+ (* (* 3 y) y) (* x x))
7.0ms
(* (* 3 y) y)

series61.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ (* (* 3 y) y) (* x x))
24.0ms
(* (* 3 y) y)

simplify125.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (122.0ms)

IterNodesCost
0173165
1854145
24082139
35001138

prune59.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
0.2b
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
0.2b
(* (cbrt 3) (* y y))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
17×add-cbrt-cube
add-sqr-sqrt associate-*l*
add-cube-cbrt *-un-lft-identity add-log-exp
cbrt-prod
associate-*r* *-commutative unswap-sqr
+-commutative flip3-+ sum-log flip-+
Counts
3 → 62
Calls
3 calls:
29.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
28.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
8.0ms
(* (cbrt 3) (* y y))

series212.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
87.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
45.0ms
(* (cbrt 3) (* y y))

simplify41.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0263553
11076421
25001366

prune114.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0154
1174
2174

end0.0ms

sample847.0ms

Algorithm
intervals
Results
628.0ms14324×body80valid