Details

Time bar (total: 2.1s)

analyze49.0ms (2.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
50%50%0.1%4
50%50%0.1%5
62.4%37.5%0.1%6
74.9%25%0.1%7
81.2%18.7%0.1%8
87.4%12.5%0.1%9
90.5%9.4%0.1%10
93.7%6.2%0.1%11
95.2%4.7%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14
Compiler

Compiled 12 to 10 computations (16.7% saved)

sample14.0ms (0.7%)

Algorithm
intervals
Results
8.0ms256×body80valid
Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify277.0ms (13.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (267.0ms)

IterNodesCost
0311316
1311316

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 22 to 18 computations (18.2% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 1 (/.f64 (*.f64 x y) 2))
0.0b
(/.f64 (*.f64 x y) 2)
7.9b
(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))

rewrite19.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity_binary64
15×times-frac_binary64
14×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
associate-/r*_binary64
add-log-exp_binary64 distribute-lft-out_binary64
associate-/l*_binary64
pow1_binary64 cbrt-undiv_binary64 div-exp_binary64
flip3-+_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 flip-+_binary64
cbrt-unprod_binary64 prod-exp_binary64 +-commutative_binary64 sum-log_binary64
Counts
3 → 66
Calls

3 calls:

7.0ms
(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))
5.0ms
(+.f64 1 (/.f64 (*.f64 x y) 2))
5.0ms
(/.f64 (*.f64 x y) 2)

series26.0ms (1.2%)

Counts
3 → 9
Calls

3 calls:

16.0ms
(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))
6.0ms
(+.f64 1 (/.f64 (*.f64 x y) 2))
4.0ms
(/.f64 (*.f64 x y) 2)

simplify104.0ms (5%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
049201187
149201187

prune58.0ms (2.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New72375
Fresh000
Picked101
Done000
Total73376

Merged error: 0b

Counts
76 → 3
Compiler

Compiled 1313 to 795 computations (39.5% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 1 (/.f64 (*.f64 y x) 2))
0.0b
(/.f64 (*.f64 y x) 2)
0.2b
(/.f64 1 (+.f64 1 (/.f64 (*.f64 y x) 2)))
7.7b
(*.f64 y (/.f64 1 (+.f64 1 (/.f64 (*.f64 y x) 2))))

rewrite32.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity_binary64
31×add-sqr-sqrt_binary64
29×times-frac_binary64
24×add-cube-cbrt_binary64
22×add-exp-log_binary64
18×associate-*r*_binary64
16×add-cbrt-cube_binary64
distribute-lft-out_binary64
associate-/r*_binary64 pow1_binary64
add-log-exp_binary64 div-exp_binary64
prod-exp_binary64
cbrt-undiv_binary64 associate-/r/_binary64 associate-/l*_binary64
flip3-+_binary64 cbrt-unprod_binary64 associate-*l*_binary64 unswap-sqr_binary64 div-inv_binary64 flip-+_binary64
1-exp_binary64 clear-num_binary64 frac-2neg_binary64 rec-exp_binary64
pow-prod-down_binary64 associate-*r/_binary64 inv-pow_binary64 un-div-inv_binary64 +-commutative_binary64 pow-flip_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 111
Calls

4 calls:

12.0ms
(*.f64 y (/.f64 1 (+.f64 1 (/.f64 (*.f64 y x) 2))))
7.0ms
(/.f64 1 (+.f64 1 (/.f64 (*.f64 y x) 2)))
5.0ms
(+.f64 1 (/.f64 (*.f64 y x) 2))
5.0ms
(/.f64 (*.f64 y x) 2)

series34.0ms (1.6%)

Counts
4 → 12
Calls

4 calls:

14.0ms
(*.f64 y (/.f64 1 (+.f64 1 (/.f64 (*.f64 y x) 2))))
11.0ms
(/.f64 1 (+.f64 1 (/.f64 (*.f64 y x) 2)))
6.0ms
(+.f64 1 (/.f64 (*.f64 y x) 2))
4.0ms
(/.f64 (*.f64 y x) 2)

simplify121.0ms (5.8%)

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (93.0ms)

IterNodesCost
049981914
149981914

prune87.0ms (4.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1230123
Fresh022
Picked011
Done000
Total1233126

Merged error: 0b

Counts
126 → 3
Compiler

Compiled 2349 to 1531 computations (34.8% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 1 (/.f64 x (/.f64 2 y)))
0.2b
(/.f64 x (/.f64 2 y))
7.9b
(/.f64 y (+.f64 1 (/.f64 x (/.f64 2 y))))

rewrite39.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
87×times-frac_binary64
64×*-un-lft-identity_binary64
54×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
17×associate-/r*_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l*_binary64 div-inv_binary64
add-log-exp_binary64 distribute-lft-out_binary64
cbrt-undiv_binary64 div-exp_binary64
pow1_binary64 associate-/r/_binary64
flip3-+_binary64 clear-num_binary64 frac-2neg_binary64 flip-+_binary64
+-commutative_binary64 sum-log_binary64
Counts
3 → 115
Calls

3 calls:

15.0ms
(/.f64 y (+.f64 1 (/.f64 x (/.f64 2 y))))
13.0ms
(+.f64 1 (/.f64 x (/.f64 2 y)))
6.0ms
(/.f64 x (/.f64 2 y))

series24.0ms (1.1%)

Counts
3 → 9
Calls

3 calls:

14.0ms
(/.f64 y (+.f64 1 (/.f64 x (/.f64 2 y))))
6.0ms
(+.f64 1 (/.f64 x (/.f64 2 y)))
4.0ms
(/.f64 x (/.f64 2 y))

simplify109.0ms (5.3%)

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
049262170
149262170

prune80.0ms (3.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1240124
Fresh011
Picked011
Done011
Total1243127

Merged error: 0b

Counts
127 → 3
Compiler

Compiled 2308 to 1442 computations (37.5% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 y (/.f64 x (sqrt.f64 2)))
0.3b
(/.f64 (*.f64 y (/.f64 x (sqrt.f64 2))) (sqrt.f64 2))
0.4b
(/.f64 x (sqrt.f64 2))
7.9b
(/.f64 y (+.f64 1 (/.f64 (*.f64 y (/.f64 x (sqrt.f64 2))) (sqrt.f64 2))))

rewrite35.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
56×times-frac_binary64
54×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
46×add-cube-cbrt_binary64
28×sqrt-prod_binary64
22×associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
16×associate-/r*_binary64
cbrt-undiv_binary64 associate-/l*_binary64 div-exp_binary64
pow1_binary64
add-log-exp_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 prod-exp_binary64 div-inv_binary64
associate-*l*_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64
associate-*r/_binary64 associate-/r/_binary64
pow-prod-down_binary64 flip3-+_binary64 associate-/l/_binary64 flip-+_binary64 *-commutative_binary64
Counts
4 → 144
Calls

4 calls:

9.0ms
(*.f64 y (/.f64 x (sqrt.f64 2)))
8.0ms
(/.f64 (*.f64 y (/.f64 x (sqrt.f64 2))) (sqrt.f64 2))
8.0ms
(/.f64 y (+.f64 1 (/.f64 (*.f64 y (/.f64 x (sqrt.f64 2))) (sqrt.f64 2))))
5.0ms
(/.f64 x (sqrt.f64 2))

series68.0ms (3.3%)

Counts
4 → 12
Calls

4 calls:

39.0ms
(/.f64 y (+.f64 1 (/.f64 (*.f64 y (/.f64 x (sqrt.f64 2))) (sqrt.f64 2))))
15.0ms
(/.f64 (*.f64 y (/.f64 x (sqrt.f64 2))) (sqrt.f64 2))
8.0ms
(*.f64 y (/.f64 x (sqrt.f64 2)))
6.0ms
(/.f64 x (sqrt.f64 2))

simplify100.0ms (4.8%)

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049352189
149352189

prune124.0ms (6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1560156
Fresh000
Picked011
Done022
Total1563159

Merged error: 0b

Counts
159 → 3
Compiler

Compiled 3052 to 2160 computations (29.2% saved)

regimes46.0ms (2.2%)

Compiler

Compiled 82 to 74 computations (9.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
06019
16019

end0.0ms (0%)

sample597.0ms (28.6%)

Algorithm
intervals
Results
259.0ms7995×body80valid
0.0msbody2560valid
0.0msbody1280valid
0.0msbody320valid
Compiler

Compiled 64 to 56 computations (12.5% saved)

Profiling

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