Details

Time bar (total: 1.5s)

analyze25.0ms (1.7%)

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
74.9%25%0.1%5
74.9%25%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample745.0ms (50.4%)

Results
586.0ms8256×body128valid
Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify134.0ms (9%)

Algorithm
egg-herbie
Rules
878×div-sub_binary64
546×times-frac_binary64
500×sub-neg_binary64
408×fma-def_binary64
395×neg-sub0_binary64
Counts
1 → 2
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0813
11613
24013
38113
415313
524813
643511
7107711
8302911
9355811
10395911
11415811
12437711
13455211
14508311

prune3.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
4.7b
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
17.8b
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))
Compiler

Compiled 61 to 40 computations (34.4% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
4.7b
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))

series11.0ms (0.8%)

Counts
1 → 24
Calls

1 calls:

11.0ms
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))

rewrite3.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
times-frac_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
associate-/r*_binary64
Counts
1 → 29
Calls

1 calls:

2.0ms
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))

simplify53.0ms (3.6%)

Algorithm
egg-herbie
Rules
539×associate-/r/_binary64
418×fma-neg_binary64
375×cancel-sign-sub-inv_binary64
232×fma-def_binary64
195×times-frac_binary64
Counts
53 → 47
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0931094
12181030
2655982
32331968
44993968

prune32.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New44347
Fresh101
Picked011
Done000
Total45449
Error
0b
Counts
49 → 4
Alt Table
StatusErrorProgram
4.7b
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
33.4b
(*.f64 2 y)
4.8b
(/.f64 1 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x))
36.4b
(*.f64 2 (+.f64 y (/.f64 (*.f64 y y) x)))
Compiler

Compiled 828 to 486 computations (41.3% saved)

localize9.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x))
4.7b
(/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)

series20.0ms (1.4%)

Counts
2 → 48
Calls

2 calls:

11.0ms
(/.f64 1 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x))
9.0ms
(/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)

rewrite15.0ms (1%)

Algorithm
rewrite-expression-head
Rules
84×times-frac_binary64
52×*-un-lft-identity_binary64
52×add-sqr-sqrt_binary64
52×add-cube-cbrt_binary64
16×associate-/r*_binary64
Counts
2 → 107
Calls

2 calls:

6.0ms
(/.f64 1 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x))
2.0ms
(/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)

simplify132.0ms (8.9%)

Algorithm
egg-herbie
Rules
714×fma-neg_binary64
408×times-frac_binary64
399×cancel-sign-sub-inv_binary64
256×fma-def_binary64
247×associate-/l*_binary64
Counts
155 → 157
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01443160
13132887
29292794
331762787
447472787
549352787

prune87.0ms (5.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1561157
Fresh202
Picked011
Done011
Total1583161
Error
0b
Counts
161 → 3
Alt Table
StatusErrorProgram
4.7b
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
33.8b
(*.f64 2 (fma.f64 y (/.f64 y x) y))
4.8b
(/.f64 1 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x))
Compiler

Compiled 3149 to 1966 computations (37.6% saved)

localize7.0ms (0.5%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 y (/.f64 y x) y)

series8.0ms (0.5%)

Counts
1 → 24
Calls

1 calls:

7.0ms
(fma.f64 y (/.f64 y x) y)

rewrite1.0ms (0%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(fma.f64 y (/.f64 y x) y)

simplify84.0ms (5.7%)

Algorithm
egg-herbie
Rules
817×fma-def_binary64
453×distribute-rgt-in_binary64
432×distribute-lft-in_binary64
371×sqr-pow_binary64
327×distribute-rgt-out_binary64
Counts
34 → 17
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019295
127278
260278
3181278
4776278
53529278
63992278
74634278
85335278

prune7.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New17017
Fresh000
Picked011
Done022
Total17320
Error
0b
Counts
20 → 3
Alt Table
StatusErrorProgram
4.7b
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
33.8b
(*.f64 2 (fma.f64 y (/.f64 y x) y))
4.8b
(/.f64 1 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x))
Compiler

Compiled 222 to 95 computations (57.2% saved)

regimes39.0ms (2.6%)

Accuracy

Total 0.2b remaining (96.2%)

Threshold costs 0.2b (96.2%)

Counts
12 → 1
Compiler

Compiled 385 to 271 computations (29.6% saved)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11313
21213

end54.0ms (3.7%)

Compiler

Compiled 54 to 40 computations (25.9% saved)

Profiling

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