Details

Time bar (total: 1.3s)

analyze68.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
37.5%50%12.6%6
43.7%40.6%15.7%7
56.2%23.4%20.4%8
57.8%21.1%21.2%9
64%12.5%23.5%10
64.8%10.7%24.5%11
67.9%6.4%25.7%12
68.3%5.4%26.3%13
69.9%3.3%26.9%14

sample13.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms2×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0387
1387

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (+ (* x x) (* x y)))
0.0b
(+ (* 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×associate-*l*
2×flip3-+ associate-*r/ flip-+ distribute-lft-out
1×+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 35
Calls
2 calls:
6.0ms
(* 2.0 (+ (* x x) (* x y)))
4.0ms
(+ (* x x) (* x y))

series11.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* 2.0 (+ (* x x) (* x y)))
5.0ms
(+ (* x x) (* x y))

simplify70.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04954335
14954335

prune50.0ms

Filtered
30 candidates to 41 candidates (-36.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New38341
Fresh101
Picked011
Done000
Total39443

Merged error: 0.0b

Counts
43 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
4×*-un-lft-identity associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ distribute-lft-out add-log-exp
Counts
1 → 23
Calls
1 calls:
6.0ms
(* (* x 2.0) (+ x y))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* (* x 2.0) (+ x y))

simplify61.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04971209
14971209

prune28.0ms

Filtered
15 candidates to 26 candidates (-73.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New24226
Fresh112
Picked101
Done011
Total26430

Merged error: 0b

Counts
30 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (* (+ x y) 2.0))
0.4b
(* (sqrt (* x (* (+ x y) 2.0))) (sqrt (* x (* (+ x y) 2.0))))
5.5b
(sqrt (* x (* (+ x y) 2.0)))
5.5b
(sqrt (* x (* (+ x y) 2.0)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
20×associate-*r/ associate-*l/
17×pow-prod-up
16×sqrt-div
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity flip3-+ flip-+
7×associate-*l*
6×sqrt-prod
5×associate-*r*
4×frac-times swap-sqr prod-exp cbrt-unprod add-log-exp
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 122
Calls
4 calls:
7.0ms
(* x (* (+ x y) 2.0))
18.0ms
(* (sqrt (* x (* (+ x y) 2.0))) (sqrt (* x (* (+ x y) 2.0))))
5.0ms
(sqrt (* x (* (+ x y) 2.0)))
6.0ms
(sqrt (* x (* (+ x y) 2.0)))

series47.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* x (* (+ x y) 2.0))
12.0ms
(* (sqrt (* x (* (+ x y) 2.0))) (sqrt (* x (* (+ x y) 2.0))))
15.0ms
(sqrt (* x (* (+ x y) 2.0)))
15.0ms
(sqrt (* x (* (+ x y) 2.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049531084
149531084

prune120.0ms

Filtered
66 candidates to 134 candidates (-103.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1340134
Fresh022
Picked011
Done011
Total1344138

Merged error: 0b

Counts
138 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* y y))
0.0b
(* 2.0 (- (* x x) (* y y)))
5.0b
(* x (* 2.0 (- (* x x) (* y y))))
16.6b
(/ (* x (* 2.0 (- (* x x) (* y y)))) (- x y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity
11×pow1
10×associate-*r/
9×add-cube-cbrt
7×sub-neg prod-exp cbrt-unprod
6×associate-*l* add-log-exp
5×distribute-rgt-in flip3-- distribute-lft-in times-frac associate-*r* associate-/r* flip--
4×pow-prod-down difference-of-squares
3×cbrt-undiv div-exp
2×associate-/r/ *-commutative associate-/l/ distribute-lft-out--
1×frac-2neg diff-log clear-num div-inv associate-/l* unswap-sqr
Counts
4 → 90
Calls
4 calls:
4.0ms
(- (* x x) (* y y))
6.0ms
(* 2.0 (- (* x x) (* y y)))
8.0ms
(* x (* 2.0 (- (* x x) (* y y))))
11.0ms
(/ (* x (* 2.0 (- (* x x) (* y y)))) (- x y))

series34.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (* x x) (* y y))
7.0ms
(* 2.0 (- (* x x) (* y y)))
9.0ms
(* x (* 2.0 (- (* x x) (* y y))))
12.0ms
(/ (* x (* 2.0 (- (* x x) (* y y)))) (- x y))

simplify28.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
050811243

prune83.0ms

Filtered
65 candidates to 102 candidates (-56.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1020102
Fresh011
Picked011
Done022
Total1024106

Merged error: 0b

Counts
106 → 4

regimes156.0ms

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 (1.0ms)

IterNodesCost
0109
1109

end0.0ms

sample341.0ms

Algorithm
intervals
Results
212.0ms8000×body80valid
4.0ms171×body80invalid

Profiling

Loading profile data...