Details

Time bar (total: 1.6s)

sample16.0ms

Algorithm
intervals
Results
8.0ms345×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0143
1333
2733
31123
41293
51313
61313

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* x y))
0.0b
(* 2.0 (- (* x x) (* x y)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* add-cbrt-cube add-log-exp
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* prod-diff
2×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u distribute-lft-out--
1×fma-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 46
Calls
2 calls:
3.0ms
(- (* x x) (* x y))
11.0ms
(* 2.0 (- (* x x) (* x y)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(- (* x x) (* x y))
48.0ms
(* 2.0 (- (* x x) (* x y)))

simplify149.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0182265
1814234
24686230
35001230

prune92.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (* 2.0 x) (- x y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
18×prod-diff
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
15.0ms
(* (* 2.0 x) (- x y))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(* (* 2.0 x) (- x y))

simplify50.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0297433
11306284
25001272

prune45.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* x y))
0.1b
(* (* 2.0 (sqrt (- (* x x) (* x y)))) (sqrt (- (* x x) (* x y))))
9.1b
(sqrt (- (* x x) (* x y)))
9.1b
(sqrt (- (* x x) (* x y)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-div
12×sqrt-prod
11×pow1
10×add-sqr-sqrt
9×add-exp-log flip3-- add-cbrt-cube flip--
8×add-cube-cbrt *-un-lft-identity associate-*r/
7×associate-*r*
6×add-log-exp
4×expm1-log1p-u frac-times log1p-expm1-u distribute-lft-out--
3×pow-prod-down prod-exp cbrt-unprod
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/
1×sub-neg fma-neg diff-log associate-*l* prod-diff *-commutative
Counts
4 → 85
Calls
4 calls:
3.0ms
(- (* x x) (* x y))
27.0ms
(* (* 2.0 (sqrt (- (* x x) (* x y)))) (sqrt (- (* x x) (* x y))))
4.0ms
(sqrt (- (* x x) (* x y)))
4.0ms
(sqrt (- (* x x) (* x y)))

series203.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- (* x x) (* x y))
50.0ms
(* (* 2.0 (sqrt (- (* x x) (* x y)))) (sqrt (- (* x x) (* x y))))
57.0ms
(sqrt (- (* x x) (* x y)))
62.0ms
(sqrt (- (* x x) (* x y)))

simplify50.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0312762
11246654
25001642

prune209.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample418.0ms

Algorithm
intervals
Results
248.0ms11204×body80valid