Details

Time bar (total: 11.8s)

analyze1.9s (16.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
1.2%98.5%0.3%13
1.8%97.9%0.3%14
Compiler

Compiled 25 to 18 computations (28% saved)

sample159.0ms (1.3%)

Algorithm
intervals
Symmetry

(sort x y)

(sort z t)

(sort a b)

Results
16.0ms256×body128valid
9.0ms140×body128invalid
Compiler

Compiled 56 to 42 computations (25% saved)

simplify108.0ms (0.9%)

Algorithm
egg-herbie
Rules
1251×fma-neg_binary64
530×fma-def_binary64
258×cancel-sign-sub-inv_binary64
148×distribute-rgt-in_binary64
135×sub-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01823
13423
27722
315621
433219
567419
695919
7136519
8181519
9183519
10184519
11184619
12184619
13216219
14216619
15216619
16205519

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.0b
(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))
Compiler

Compiled 80 to 51 computations (36.3% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c))
0.0b
(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))

series52.0ms (0.4%)

Counts
2 → 144
Calls

2 calls:

34.0ms
(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))
18.0ms
(fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c))

rewrite2.0ms (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
2 → 20
Calls

2 calls:

0.0ms
(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))
0.0ms
(fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c))

simplify120.0ms (1%)

Algorithm
egg-herbie
Rules
474×distribute-lft-in_binary64
474×distribute-rgt-in_binary64
356×fma-def_binary64
351×associate-*l/_binary64
329×associate-*r/_binary64
Counts
164 → 51
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0543077
11002767
22052543
36152543
426992543
546872543
652852543

prune43.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New50151
Fresh000
Picked011
Done000
Total50252
Error
0b
Counts
52 → 2
Alt Table
StatusErrorProgram
1.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))) (cbrt.f64 (fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c))))) (cbrt.f64 (fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))))
0.0b
(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))
Compiler

Compiled 1004 to 489 computations (51.3% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))
0.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))) (cbrt.f64 (fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c))))) (cbrt.f64 (fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))))
0.5b
(*.f64 (cbrt.f64 (fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))) (cbrt.f64 (fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))))
0.5b
(cbrt.f64 (fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c))))

series2.8s (23.7%)

Counts
3 → 252
Calls

3 calls:

2.0s
(*.f64 (cbrt.f64 (fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))) (cbrt.f64 (fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))))
763.0ms
(cbrt.f64 (fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c))))
45.0ms
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))) (cbrt.f64 (fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c))))) (cbrt.f64 (fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))))

rewrite26.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
29×pow1_binary64
24×add-sqr-sqrt_binary64
23×cbrt-prod_binary64
16×pow1/3_binary64
14×*-un-lft-identity_binary64
Counts
3 → 93
Calls

3 calls:

7.0ms
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))) (cbrt.f64 (fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c))))) (cbrt.f64 (fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))))
4.0ms
(*.f64 (cbrt.f64 (fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))) (cbrt.f64 (fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))))
1.0ms
(cbrt.f64 (fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c))))

simplify643.0ms (5.4%)

Algorithm
egg-herbie
Rules
1076×fma-def_binary64
fma-udef_binary64
Counts
345 → 363
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0455166279
1562566279

prune3.5s (30%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New7430743
Fresh000
Picked011
Done011
Total7432745
Error
0b
Counts
745 → 2
Alt Table
StatusErrorProgram
1.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))) (cbrt.f64 (fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c))))) (cbrt.f64 (fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))))
0.0b
(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))
Compiler

Compiled 160687 to 109568 computations (31.8% saved)

regimes677.0ms (5.7%)

Accuracy

Total 0.0b remaining (2.1%)

Threshold costs 0.0b (2.1%)

Counts
33 → 1
Compiler

Compiled 15581 to 10168 computations (34.7% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01519
11619
21619

end48.0ms (0.4%)

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 147 to 98 computations (33.3% saved)

sample1.6s (13.7%)

Algorithm
intervals
Results
654.0ms8000×body128valid
285.0ms3986×body128invalid
Compiler

Compiled 128 to 84 computations (34.4% saved)

Profiling

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