Details

Time bar (total: 2.2s)

analyze172.0ms (7.9%)

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
25%74.9%0.1%6
56.2%43.7%0.1%7
56.2%43.7%0.1%8
76.5%23.4%0.1%9
76.5%23.4%0.1%10
87.8%12.1%0.1%11
87.8%12.1%0.1%12
93.8%6.1%0.1%13
93.8%6.1%0.1%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample22.0ms (1%)

Algorithm
intervals
Results
9.0ms256×body128valid
Compiler

Compiled 25 to 17 computations (32% saved)

simplify11.0ms (0.5%)

Algorithm
egg-herbie
Rules
13×associate-/r*_binary64
*-commutative_binary64
associate-/l/_binary64
associate-*r*_binary64
associate-*l*_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11513
22813
33913
43713
53713

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
15.2b
Counts
2 → 1
Alt Table
StatusErrorProgram
15.2b
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

14.6b
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))

rewrite24.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
10×add-cbrt-cube_binary64
10×add-exp-log_binary64
*-un-lft-identity_binary64
associate-/l*_binary64
times-frac_binary64
Counts
1 → 27
Calls

1 calls:

6.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))
Compiler

Compiled 423 to 201 computations (52.5% saved)

series24.0ms (1.1%)

Error
0.0b
Counts
1 → 12
Calls

1 calls:

20.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))
Compiler

Compiled 205 to 171 computations (16.6% saved)

simplify56.0ms (2.6%)

Algorithm
egg-herbie
Rules
664×times-frac_binary64
522×associate-/r*_binary64
519×associate-*l*_binary64
500×distribute-rgt-in_binary64
465×distribute-lft-in_binary64
Counts
39 → 28
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
078619
1217506
2823506
33723505
45367505

prune12.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New25328
Fresh000
Picked101
Done000
Total26329
Error
0.0b
Counts
29 → 3
Alt Table
StatusErrorProgram
6.6b
(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y)))
6.7b
(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))
0.0b
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
Compiler

Compiled 275 to 149 computations (45.8% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite22.0ms (1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
11×*-un-lft-identity_binary64
times-frac_binary64
distribute-lft-out_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
Counts
1 → 17
Calls

1 calls:

9.0ms
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
Compiler

Compiled 242 to 188 computations (22.3% saved)

series19.0ms (0.9%)

Error
0.0b
Counts
1 → 12
Calls

1 calls:

18.0ms
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
Compiler

Compiled 205 to 171 computations (16.6% saved)

simplify91.0ms (4.2%)

Algorithm
egg-herbie
Rules
539×distribute-rgt-out_binary64
394×associate-/l/_binary64
389×div-sub_binary64
372×times-frac_binary64
298×distribute-rgt-in_binary64
Counts
29 → 12
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047364
1120331
2373328
31191328
42737328
53898328
64699328
75159328

prune5.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New12012
Fresh022
Picked011
Done000
Total12315
Error
0.0b
Counts
15 → 3
Alt Table
StatusErrorProgram
6.6b
(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y)))
6.7b
(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))
0.0b
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
Compiler

Compiled 149 to 105 computations (29.5% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (+.f64 x y) y)
0.0b
(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y)))
6.1b
(/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y))

rewrite141.0ms (6.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
227×times-frac_binary64
130×*-un-lft-identity_binary64
86×add-sqr-sqrt_binary64
86×add-cube-cbrt_binary64
61×add-exp-log_binary64
Counts
3 → 205
Calls

3 calls:

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

Compiled 3765 to 1675 computations (55.5% saved)

series57.0ms (2.6%)

Error
0.0b
Counts
3 → 39
Calls

3 calls:

21.0ms
(/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y))
17.0ms
(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y)))
13.0ms
(/.f64 (+.f64 x y) y)
Compiler

Compiled 905 to 723 computations (20.1% saved)

simplify179.0ms (8.2%)

Algorithm
egg-herbie
Rules
666×associate-/r*_binary64
638×associate-*l*_binary64
537×associate-*r*_binary64
166×associate-/r/_binary64
134×log-div_binary64
Counts
244 → 191
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02174586
14914134
216824004
344784004
449814004
549424004

prune191.0ms (8.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1901191
Fresh011
Picked011
Done011
Total1904194
Error
0b
Counts
194 → 4
Alt Table
StatusErrorProgram
7.7b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))) (cbrt.f64 (*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y)))) (cbrt.f64 (*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))))
6.6b
(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y)))
6.7b
(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))
0.0b
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
Compiler

Compiled 1539 to 610 computations (60.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (+.f64 x y) y)
6.2b
(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))

rewrite66.0ms (3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
40×*-un-lft-identity_binary64
38×add-sqr-sqrt_binary64
37×times-frac_binary64
26×add-cube-cbrt_binary64
16×associate-*r*_binary64
Counts
2 → 86
Calls

2 calls:

11.0ms
(/.f64 (+.f64 x y) y)
10.0ms
(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))
Compiler

Compiled 1350 to 519 computations (61.6% saved)

series36.0ms (1.6%)

Error
0b
Counts
2 → 24
Calls

2 calls:

18.0ms
(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))
14.0ms
(/.f64 (+.f64 x y) y)
Compiler

Compiled 415 to 321 computations (22.7% saved)

simplify171.0ms (7.8%)

Algorithm
egg-herbie
Rules
924×distribute-rgt-in_binary64
670×associate-*l/_binary64
489×associate-/l*_binary64
303×*-commutative_binary64
242×associate-/l/_binary64
Counts
110 → 50
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01391615
13781447
213441447
337421446
453071446

prune16.0ms (0.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New49150
Fresh101
Picked101
Done022
Total51354
Error
0b
Counts
54 → 3
Alt Table
StatusErrorProgram
6.6b
(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y)))
0.0b
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
7.2b
(*.f64 (/.f64 (sqrt.f64 1/2) 1) (*.f64 (/.f64 (+.f64 x y) y) (/.f64 (sqrt.f64 1/2) x)))
Compiler

Compiled 497 to 243 computations (51.1% saved)

regimes293.0ms (13.4%)

Accuracy

Total 0.0b remaining (77%)

Threshold costs 0.0b (77%)

Compiler

Compiled 4043 to 2672 computations (33.9% saved)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
1810
2810

end6.0ms (0.3%)

Remove

(sort x y)

Compiler

Compiled 27 to 21 computations (22.2% saved)

sample542.0ms (24.8%)

Algorithm
intervals
Results
299.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 62 to 46 computations (25.8% saved)

Profiling

Loading profile data...