Details

Time bar (total: 1.8s)

sample16.0ms

Algorithm
intervals
Results
7.0ms363×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0133
1323
2663
3923
41003
51003

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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))
10.0ms
(* 2.0 (- (* x x) (* x y)))

series84.0ms

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

simplify129.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0161228
1741196
24248192
35001192

prune72.0ms

Filtered
44 candidates to 30 candidates (68.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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:
14.0ms
(* (* 2.0 x) (- x y))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* (* 2.0 x) (- x y))

simplify30.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0171137
1836114
25001114

prune35.0ms

Filtered
29 candidates to 15 candidates (51.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt 2.0) (sqrt (- (* x x) (* x y))))
0.3b
(* (sqrt 2.0) (sqrt (- (* x x) (* x y))))
8.0b
(sqrt (- (* x x) (* x y)))
8.0b
(sqrt (- (* x x) (* x y)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
30×sqrt-prod
14×pow1 add-cube-cbrt *-un-lft-identity associate-*r*
12×associate-*l*
8×add-exp-log sqrt-div add-cbrt-cube unswap-sqr
6×sqrt-pow1 pow1/2 pow-prod-down
4×flip3-- associate-*r/ flip-- distribute-lft-out-- add-log-exp
2×rem-sqrt-square sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
13.0ms
(* (sqrt 2.0) (sqrt (- (* x x) (* x y))))
13.0ms
(* (sqrt 2.0) (sqrt (- (* x x) (* x y))))
4.0ms
(sqrt (- (* x x) (* x y)))
4.0ms
(sqrt (- (* x x) (* x y)))

series382.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(* (sqrt 2.0) (sqrt (- (* x x) (* x y))))
130.0ms
(* (sqrt 2.0) (sqrt (- (* x x) (* x y))))
60.0ms
(sqrt (- (* x x) (* x y)))
59.0ms
(sqrt (- (* x x) (* x y)))

simplify152.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0249802
1983768
24662746
35002746

prune242.0ms

Filtered
110 candidates to 78 candidates (70.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes69.0ms

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

sample397.0ms

Algorithm
intervals
Results
227.0ms11052×body80valid