Details

Time bar (total: 2.4s)

analyze51.0ms (2.1%)

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
0%99.9%0.1%5
50%50%0.1%6
68.7%31.2%0.1%7
81.2%18.7%0.1%8
89%10.9%0.1%9
92.1%7.8%0.1%10
95.6%4.3%0.1%11
96.4%3.5%0.1%12
98%1.9%0.1%13
98.2%1.7%0.1%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample959.0ms (40.3%)

Results
759.0ms8256×body128valid
Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify135.0ms (5.7%)

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

prune4.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
16.5b
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))
6.9b
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
Compiler

Compiled 61 to 40 computations (34.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 1/2 (/.f64 x y) -1/2)
6.9b
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))

series44.0ms (1.8%)

Counts
2 → 48
Calls

2 calls:

32.0ms
(fma.f64 1/2 (/.f64 x y) -1/2)
12.0ms
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))

rewrite4.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64
10×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64
times-frac_binary64
add-cbrt-cube_binary64
Counts
2 → 39
Calls

2 calls:

2.0ms
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
0.0ms
(fma.f64 1/2 (/.f64 x y) -1/2)

simplify94.0ms (3.9%)

Algorithm
egg-herbie
Rules
427×fma-neg_binary64
381×cancel-sign-sub-inv_binary64
231×fma-def_binary64
198×associate-/l*_binary64
198×times-frac_binary64
Counts
87 → 62
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0981389
12261308
26791260
324111246
445771246
549931246
649411246

prune37.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New60262
Fresh011
Picked011
Done000
Total60464
Error
0.0b
Counts
64 → 4
Alt Table
StatusErrorProgram
6.9b
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
32.7b
(*.f64 2 (+.f64 y (/.f64 (*.f64 y y) x)))
16.5b
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))
7.0b
(/.f64 1 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x))
Compiler

Compiled 1012 to 592 computations (41.5% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 1/2 (/.f64 x y) -1/2)
0.2b
(/.f64 1 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x))
6.9b
(/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)

series21.0ms (0.9%)

Counts
2 → 48
Calls

2 calls:

12.0ms
(/.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)

rewrite35.0ms (1.5%)

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:

4.0ms
(/.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)

simplify131.0ms (5.5%)

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

prune96.0ms (4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1702172
Fresh202
Picked101
Done011
Total1733176
Error
0b
Counts
176 → 3
Alt Table
StatusErrorProgram
6.9b
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
7.0b
(/.f64 (/.f64 1 (fma.f64 1/2 (/.f64 x y) -1/2)) (/.f64 1 x))
31.2b
(*.f64 2 (fma.f64 y (/.f64 y x) y))
Compiler

Compiled 3367 to 2109 computations (37.4% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 1/2 (/.f64 x y) -1/2)
0.7b
(/.f64 1 (fma.f64 1/2 (/.f64 x y) -1/2))
6.2b
(/.f64 (/.f64 1 (fma.f64 1/2 (/.f64 x y) -1/2)) (/.f64 1 x))

series28.0ms (1.2%)

Counts
2 → 48
Calls

2 calls:

18.0ms
(/.f64 (/.f64 1 (fma.f64 1/2 (/.f64 x y) -1/2)) (/.f64 1 x))
11.0ms
(/.f64 1 (fma.f64 1/2 (/.f64 x y) -1/2))

rewrite52.0ms (2.2%)

Algorithm
rewrite-expression-head
Rules
430×times-frac_binary64
206×*-un-lft-identity_binary64
206×add-sqr-sqrt_binary64
206×add-cube-cbrt_binary64
46×add-exp-log_binary64
Counts
2 → 262
Calls

2 calls:

8.0ms
(/.f64 (/.f64 1 (fma.f64 1/2 (/.f64 x y) -1/2)) (/.f64 1 x))
2.0ms
(/.f64 1 (fma.f64 1/2 (/.f64 x y) -1/2))

simplify221.0ms (9.3%)

Algorithm
egg-herbie
Rules
744×times-frac_binary64
482×fma-def_binary64
404×associate-/l*_binary64
386×associate-/r*_binary64
271×associate-*l/_binary64
Counts
310 → 335
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02038609
15257698
215857461
345077444
449557444

prune219.0ms (9.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New3500350
Fresh011
Picked011
Done011
Total3503353
Error
0b
Counts
353 → 3
Alt Table
StatusErrorProgram
6.9b
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
7.0b
(/.f64 (/.f64 1 (fma.f64 1/2 (/.f64 x y) -1/2)) (/.f64 1 x))
31.2b
(*.f64 2 (fma.f64 y (/.f64 y x) y))
Compiler

Compiled 8945 to 6212 computations (30.6% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 y (/.f64 y x) y)

series10.0ms (0.4%)

Counts
1 → 24
Calls

1 calls:

10.0ms
(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 (3.5%)

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 (0.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New17017
Fresh000
Picked011
Done022
Total17320
Error
0b
Counts
20 → 3
Alt Table
StatusErrorProgram
6.9b
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
7.0b
(/.f64 (/.f64 1 (fma.f64 1/2 (/.f64 x y) -1/2)) (/.f64 1 x))
31.2b
(*.f64 2 (fma.f64 y (/.f64 y x) y))
Compiler

Compiled 224 to 97 computations (56.7% saved)

regimes73.0ms (3.1%)

Accuracy

Total 0.2b remaining (95.5%)

Threshold costs 0.2b (95.5%)

Counts
26 → 1
Compiler

Compiled 886 to 664 computations (25.1% saved)

simplify4.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11313
21213

end49.0ms (2.1%)

Compiler

Compiled 56 to 42 computations (25% saved)

Profiling

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