Details

Time bar (total: 3.0s)

sample22.0ms

Algorithm
intervals
Results
10.0ms473×body80valid

simplify267.0ms

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 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))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
associate-+l+
Counts
3 → 38
Calls
3 calls:
8.0ms
(+ (* x x) (* y y))
30.0ms
(+ (+ (* x x) (* y y)) (* y y))
128.0ms
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series91.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ (* x x) (* y y))
31.0ms
(+ (+ (* x x) (* y y)) (* y y))
32.0ms
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify122.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (118.0ms)

IterNodesCost
0218352
11048312
24094291
35002280

prune99.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
flip3-+ flip-+
associate-*r/ frac-add sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ *-un-lft-identity add-cbrt-cube
distribute-rgt-in associate-+l+ distribute-lft-in
Counts
2 → 30
Calls
2 calls:
8.0ms
(+ (* x x) (* y y))
31.0ms
(+ (+ (* x x) (* y y)) (* y (+ y y)))

series59.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(+ (* x x) (* y y))
35.0ms
(+ (+ (* x x) (* y y)) (* y (+ y y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0276338
11408275
25001242

prune89.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* (* 3 y) y))
0.1b
(* (* 3 y) y)

rewrite28.0ms

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:
9.0ms
(+ (* x x) (* (* 3 y) y))
18.0ms
(* (* 3 y) y)

series61.0ms

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

simplify136.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (133.0ms)

IterNodesCost
0173161
1862143
24332138
35002137

prune60.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
11.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series711.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (cbrt y) (cbrt y))
169.0ms
(cbrt y)
171.0ms
(cbrt y)
174.0ms
(cbrt y)

simplify88.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune206.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes61.0ms

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

sample612.0ms

Algorithm
intervals
Results
305.0ms14426×body80valid