Details

Time bar (total: 1.4s)

sample16.0ms

Algorithm
intervals
Results
8.0ms374×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0133
1323
2663
3923
41003
51003

prune4.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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×sub-neg associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip-- distribute-lft-out--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 38
Calls
2 calls:
3.0ms
(- (* x x) (* x y))
6.0ms
(* 2.0 (- (* x x) (* x y)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- (* x x) (* x y))
53.0ms
(* 2.0 (- (* x x) (* x y)))

simplify124.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0161228
1741196
24248192
35001192

prune85.0ms

Filtered
44 candidates to 30 candidates (68.2%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
12.0ms
(* (* 2.0 x) (- x y))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(* (* 2.0 x) (- x y))

simplify31.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0171137
1836114
25001114

prune38.0ms

Filtered
29 candidates to 15 candidates (51.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* x y))
0.1b
(* (sqrt (- (* x x) (* x y))) (sqrt (- (* x x) (* x y))))
7.3b
(sqrt (- (* x x) (* x y)))
7.3b
(sqrt (- (* x x) (* x y)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
30×sqrt-prod
28×add-sqr-sqrt
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-- swap-sqr flip--
7×associate-*r* associate-*l* distribute-lft-out--
6×add-exp-log add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×pow2 sub-neg pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 105
Calls
4 calls:
3.0ms
(- (* x x) (* x y))
15.0ms
(* (sqrt (- (* x x) (* x y))) (sqrt (- (* x x) (* x y))))
3.0ms
(sqrt (- (* x x) (* x y)))
4.0ms
(sqrt (- (* x x) (* x y)))

series194.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (* x x) (* x y))
33.0ms
(* (sqrt (- (* x x) (* x y))) (sqrt (- (* x x) (* x y))))
63.0ms
(sqrt (- (* x x) (* x y)))
59.0ms
(sqrt (- (* x x) (* x y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0228755
11011678
25001658

prune215.0ms

Filtered
117 candidates to 73 candidates (62.4%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes36.0ms

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

sample415.0ms

Algorithm
intervals
Results
237.0ms11123×body80valid