Details

Time bar (total: 2.1s)

analyze161.0ms (7.8%)

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)

sample24.0ms (1.2%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 25 to 17 computations (32% saved)

simplify8.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11513
22813
33913
43713
53713

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
15.8b
Counts
2 → 1
Alt Table
StatusErrorProgram
15.8b
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

15.2b
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))

rewrite38.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
10×add-exp-log_binary64 add-cbrt-cube_binary64
*-un-lft-identity_binary64
times-frac_binary64 associate-/l*_binary64
prod-exp_binary64 div-exp_binary64 add-cube-cbrt_binary64 cbrt-undiv_binary64 cbrt-unprod_binary64 add-sqr-sqrt_binary64
distribute-lft-out_binary64 associate-/l/_binary64
Counts
1 → 27
Calls

1 calls:

8.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))
Compiler

Compiled 423 to 201 computations (52.5% saved)

series33.0ms (1.6%)

Error
0.0b
Counts
1 → 12
Calls

1 calls:

28.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))
Compiler

Compiled 205 to 171 computations (16.6% saved)

simplify52.0ms (2.5%)

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

prune14.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New26228
Fresh000
Picked101
Done000
Total27229
Error
0.0b
Counts
29 → 2
Alt Table
StatusErrorProgram
10.3b
(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y)))
0.0b
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
Compiler

Compiled 253 to 135 computations (46.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite26.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
11×*-un-lft-identity_binary64
times-frac_binary64
distribute-lft-out_binary64
add-log-exp_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
div-inv_binary64
Counts
1 → 17
Calls

1 calls:

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

Compiled 242 to 188 computations (22.3% saved)

series28.0ms (1.4%)

Error
0.0b
Counts
1 → 12
Calls

1 calls:

26.0ms
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
Compiler

Compiled 205 to 171 computations (16.6% saved)

simplify96.0ms (4.6%)

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 → 11
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047364
1120331
2373328
31191328
42737328
53898328
64699328
75159328

prune7.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New11011
Fresh011
Picked011
Done000
Total11213
Error
0.0b
Counts
13 → 2
Alt Table
StatusErrorProgram
10.3b
(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y)))
0.0b
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
Compiler

Compiled 118 to 84 computations (28.8% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y)))
0.0b
(/.f64 (+.f64 x y) y)
9.7b
(/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y))

rewrite179.0ms (8.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
227×times-frac_binary64
130×*-un-lft-identity_binary64
86×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
61×add-exp-log_binary64
40×associate-/r*_binary64
Counts
3 → 205
Calls

3 calls:

14.0ms
(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y)))
8.0ms
(/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y))
5.0ms
(/.f64 (+.f64 x y) y)
Compiler

Compiled 3765 to 1675 computations (55.5% saved)

series97.0ms (4.7%)

Error
0.0b
Counts
3 → 45
Calls

3 calls:

36.0ms
(/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y))
27.0ms
(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y)))
21.0ms
(/.f64 (+.f64 x y) y)
Compiler

Compiled 1066 to 851 computations (20.2% saved)

simplify175.0ms (8.4%)

Algorithm
egg-herbie
Rules
720×associate-/r*_binary64
661×associate-*l*_binary64
559×associate-*r*_binary64
166×associate-/r/_binary64
121×log-prod_binary64 associate-/l*_binary64
Counts
250 → 197
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02274790
15254320
218214190
346894190
449484190

prune60.0ms (2.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1961197
Fresh000
Picked011
Done011
Total1963199
Error
0b
Counts
199 → 3
Alt Table
StatusErrorProgram
6.5b
(/.f64 1 (*.f64 (/.f64 x (+.f64 x y)) (*.f64 2 y)))
10.3b
(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y)))
0.0b
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
Compiler

Compiled 1521 to 602 computations (60.4% saved)

localize10.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

rewrite102.0ms (4.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
61×add-exp-log_binary64
36×*-un-lft-identity_binary64
35×add-cbrt-cube_binary64
27×times-frac_binary64
24×prod-exp_binary64
Counts
3 → 113
Calls

3 calls:

11.0ms
(*.f64 (/.f64 x (+.f64 x y)) (*.f64 2 y))
10.0ms
(/.f64 1 (*.f64 (/.f64 x (+.f64 x y)) (*.f64 2 y)))
5.0ms
(/.f64 x (+.f64 x y))
Compiler

Compiled 1887 to 850 computations (55% saved)

series113.0ms (5.4%)

Error
0b
Counts
3 → 57
Calls

3 calls:

39.0ms
(*.f64 (/.f64 x (+.f64 x y)) (*.f64 2 y))
29.0ms
(/.f64 x (+.f64 x y))
29.0ms
(/.f64 1 (*.f64 (/.f64 x (+.f64 x y)) (*.f64 2 y)))
Compiler

Compiled 1452 to 1132 computations (22% saved)

simplify114.0ms (5.5%)

Algorithm
egg-herbie
Rules
599×associate-*l/_binary64
593×associate-/l*_binary64
525×associate-/r*_binary64
261×associate-/l/_binary64
247×associate-/r/_binary64
Counts
170 → 125
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01912898
14792444
215452371
348202371
449642371

prune46.0ms (2.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1250125
Fresh000
Picked011
Done022
Total1253128
Error
0b
Counts
128 → 3
Alt Table
StatusErrorProgram
6.5b
(/.f64 1 (*.f64 (/.f64 x (+.f64 x y)) (*.f64 2 y)))
10.3b
(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y)))
0.0b
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
Compiler

Compiled 1016 to 487 computations (52.1% saved)

regimes141.0ms (6.8%)

Accuracy

Total 0.0b remaining (65%)

Threshold costs 0.0b (65%)

Compiler

Compiled 1645 to 1043 computations (36.6% saved)

simplify3.0ms (0.1%)

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)

sample519.0ms (25%)

Algorithm
intervals
Results
236.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 58 to 42 computations (27.6% saved)

Profiling

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