Details

Time bar (total: 1.5s)

analyze54.0ms

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
25%74.9%0.1%4
37.5%62.4%0.1%5
56.2%43.7%0.1%6
65.6%34.3%0.1%7
76.5%23.4%0.1%8
82%18%0.1%9
87.8%12.1%0.1%10
90.7%9.2%0.1%11
93.8%6.1%0.1%12
95.3%4.6%0.1%13
96.8%3.1%0.1%14

sample21.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1125

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ x y) x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity add-log-exp
3×sum-log distribute-lft-out
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ flip3-+ add-cbrt-cube flip-+
Counts
1 → 15
Calls
1 calls:
5.0ms
(+ (+ x y) x)

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(+ (+ x y) x)

simplify54.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05128116

prune21.0ms

Filtered
11 candidates to 18 candidates (-63.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New17118
Fresh000
Picked011
Done000
Total17219

Merged error: 0.0b

Counts
19 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x (+ x y)))
0.0b
(+ x (+ x y))
0.0b
(+ x (+ x y))
0.2b
(* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
72×*-un-lft-identity
43×sqrt-prod
33×distribute-lft-out
26×add-sqr-sqrt
20×pow1
16×swap-sqr
14×sqrt-div add-log-exp
13×add-cube-cbrt
9×sqrt-pow1 flip3-+ pow1/2 flip-+
8×associate-*r* associate-*l*
6×add-exp-log sum-log add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative associate-+r+ associate-*r/ associate-*l/
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 116
Calls
4 calls:
5.0ms
(sqrt (+ x (+ x y)))
5.0ms
(+ x (+ x y))
5.0ms
(+ x (+ x y))
15.0ms
(* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))))

series20.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sqrt (+ x (+ x y)))
4.0ms
(+ x (+ x y))
4.0ms
(+ x (+ x y))
7.0ms
(* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))))

simplify35.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
050221024

prune91.0ms

Filtered
63 candidates to 128 candidates (-103.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1262128
Fresh000
Picked101
Done011
Total1273130

Merged error: 0.0b

Counts
130 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (+ x x) y))
0.0b
(sqrt (+ x (+ x y)))
0.0b
(+ x (+ x y))
0.2b
(* (sqrt (+ x (+ x y))) (sqrt (+ (+ x x) y)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
24×sqrt-prod
20×add-sqr-sqrt
16×sqrt-div
15×distribute-lft-out
10×pow1 add-cube-cbrt
9×flip3-+ flip-+ add-log-exp
8×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube
4×frac-times sqrt-pow1 pow1/2 unswap-sqr
3×pow-prod-down sum-log
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative associate-+r+ sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 91
Calls
4 calls:
7.0ms
(sqrt (+ (+ x x) y))
5.0ms
(sqrt (+ x (+ x y)))
5.0ms
(+ x (+ x y))
16.0ms
(* (sqrt (+ x (+ x y))) (sqrt (+ (+ x x) y)))

series26.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sqrt (+ (+ x x) y))
9.0ms
(sqrt (+ x (+ x y)))
4.0ms
(+ x (+ x y))
7.0ms
(* (sqrt (+ x (+ x y))) (sqrt (+ (+ x x) y)))

simplify35.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
049331030
149331030

prune96.0ms

Filtered
69 candidates to 103 candidates (-49.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh011
Picked011
Done011
Total1033106

Merged error: 0.0b

Counts
106 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (+ x y))
0.2b
(* (sqrt (+ x (+ x y))) (cbrt (pow (sqrt (+ x (+ x y))) 3)))
0.2b
(pow (sqrt (+ x (+ x y))) 3)
8.8b
(cbrt (pow (sqrt (+ x (+ x y))) 3))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
56×cbrt-prod
48×add-sqr-sqrt
46×sqrt-prod
28×unpow-prod-down cube-prod
25×associate-*r*
24×distribute-lft-out
22×add-cube-cbrt
16×sqrt-div
14×unswap-sqr
10×cube-div
9×flip3-+ flip-+ add-log-exp
8×pow1 cbrt-div associate-*l*
7×add-exp-log
6×add-cbrt-cube
5×sqr-pow
4×frac-times
3×cube-mult pow-unpow pow-pow unpow3 sum-log
2×associate-*r/ associate-*l/
1×+-commutative pow-to-exp associate-+r+ sqrt-pow1 pow1/2 pow1/3 pow-prod-down pow-exp prod-exp *-commutative sqrt-pow2 rem-cbrt-cube cbrt-unprod rem-cube-cbrt
Counts
4 → 152
Calls
4 calls:
6.0ms
(+ x (+ x y))
22.0ms
(* (sqrt (+ x (+ x y))) (cbrt (pow (sqrt (+ x (+ x y))) 3)))
7.0ms
(pow (sqrt (+ x (+ x y))) 3)
7.0ms
(cbrt (pow (sqrt (+ x (+ x y))) 3))

series33.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ x (+ x y))
7.0ms
(* (sqrt (+ x (+ x y))) (cbrt (pow (sqrt (+ x (+ x y))) 3)))
16.0ms
(pow (sqrt (+ x (+ x y))) 3)
6.0ms
(cbrt (pow (sqrt (+ x (+ x y))) 3))

simplify66.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049401694
149401694

prune123.0ms

Filtered
78 candidates to 164 candidates (-110.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1640164
Fresh000
Picked011
Done022
Total1643167

Merged error: 0.0b

Counts
167 → 3

regimes131.0ms

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
065
165

end0.0ms

sample503.0ms

Algorithm
intervals
Results
117.0ms8000×body80valid

Profiling

Loading profile data...