Details

Time bar (total: 2.5s)

sample32.0ms

Algorithm
intervals
Results
21.0ms478×body80valid

simplify276.0ms

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

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
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
6.0ms
(+ (* 3 (* y y)) (* x x))
7.0ms
(* 3 (* y y))

series62.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (* 3 (* y y)) (* x x))
25.0ms
(* 3 (* y y))

simplify84.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0164163
1658146
22429139
35003139

prune69.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×+-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)

series62.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (* (* 3 y) y) (* x x))
25.0ms
(* (* 3 y) y)

simplify125.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0173161
1854144
24082139
35001139

prune66.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 3 (pow y 2)) (* x x))
0.2b
(* 3 (pow y 2))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*r*
7×add-exp-log
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
3×associate-*l* prod-exp
2×pow1 unpow2 sqr-pow
1×+-commutative pow-to-exp flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 38
Calls
2 calls:
3.0ms
(+ (* 3 (pow y 2)) (* x x))
6.0ms
(* 3 (pow y 2))

series59.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (* 3 (pow y 2)) (* x x))
26.0ms
(* 3 (pow y 2))

simplify144.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 3 (140.0ms)

IterNodesCost
0185201
1797170
23558168
35002167

prune91.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.0b
(+ (+ (* x x) (* y y)) (* y y))
0.1b
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
3×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
2×associate-+l+
Counts
3 → 38
Calls
3 calls:
3.0ms
(+ (* x x) (* y y))
14.0ms
(+ (+ (* x x) (* y y)) (* y y))
49.0ms
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series102.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+ (* x x) (* y y))
36.0ms
(+ (+ (* x x) (* y y)) (* y y))
36.0ms
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify130.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (125.0ms)

IterNodesCost
0218352
11048312
24094291
35002280

prune97.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes107.0ms

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
0104
1104

end0.0ms

sample856.0ms

Algorithm
intervals
Results
628.0ms14068×body80valid