Details

Time bar (total: 4.3s)

analyze1.3s (29.3%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
18.8%18.7%81.1%0.1%0%0%0%8
28.1%28.1%71.8%0.1%0%0%0%9
42.2%42.1%57.7%0.1%0%0%0%10
48.2%46.8%50.3%0.1%2.7%0%0%11
56.2%53.8%41.9%0.1%4.1%0%0%12
Compiler

Compiled 13 to 10 computations (23.1% saved)

sample1.8s (41.2%)

Results
1.5s8256×body256valid
258.0ms820×body256infinite
Bogosity

preprocess181.0ms (4.2%)

Algorithm
2×egg-herbie
Rules
774×fma-def_binary64
513×fma-neg_binary64
147×associate-/l*_binary64
135×cancel-sign-sub-inv_binary64
96×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02152
13752
26352
310052
418244
531344
667044
7128244
8215244
9282544
10291844
11292444
12292444
033
133
Stop Event
1×unsound
1×saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
0
2
Call 2
Inputs
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
(-.f64 (/.f64 (*.f64 y x) 2) (/.f64 z 8))
(-.f64 (/.f64 (*.f64 z y) 2) (/.f64 x 8))
(-.f64 (/.f64 (*.f64 x z) 2) (/.f64 y 8))
Outputs
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
(-.f64 (/.f64 y (/.f64 2 x)) (/.f64 z 8))
(-.f64 (*.f64 (/.f64 x 2) y) (/.f64 z 8))
(-.f64 (*.f64 x (/.f64 y 2)) (/.f64 z 8))
(-.f64 (*.f64 y (/.f64 x 2)) (/.f64 z 8))
(fma.f64 x (/.f64 y 2) (*.f64 -1/8 z))
(fma.f64 x (/.f64 y 2) (*.f64 z -1/8))
(fma.f64 x (*.f64 1/2 y) (*.f64 z -1/8))
(fma.f64 x (*.f64 y 1/2) (*.f64 z -1/8))
(-.f64 (/.f64 (*.f64 y x) 2) (/.f64 z 8))
(-.f64 (/.f64 y (/.f64 2 x)) (/.f64 z 8))
(-.f64 (*.f64 (/.f64 x 2) y) (/.f64 z 8))
(-.f64 (*.f64 x (/.f64 y 2)) (/.f64 z 8))
(-.f64 (*.f64 y (/.f64 x 2)) (/.f64 z 8))
(fma.f64 x (/.f64 y 2) (*.f64 -1/8 z))
(fma.f64 x (/.f64 y 2) (*.f64 z -1/8))
(fma.f64 x (*.f64 1/2 y) (*.f64 z -1/8))
(fma.f64 x (*.f64 y 1/2) (*.f64 z -1/8))
(-.f64 (/.f64 (*.f64 z y) 2) (/.f64 x 8))
(-.f64 (/.f64 z (/.f64 2 y)) (/.f64 x 8))
(-.f64 (*.f64 (/.f64 y 2) z) (/.f64 x 8))
(-.f64 (*.f64 z (/.f64 y 2)) (/.f64 x 8))
(fma.f64 y (/.f64 z 2) (/.f64 x -8))
(fma.f64 y (/.f64 z 2) (*.f64 x -1/8))
(fma.f64 x -1/8 (*.f64 y (/.f64 z 2)))
(fma.f64 x -1/8 (*.f64 y (*.f64 1/2 z)))
(fma.f64 x -1/8 (*.f64 y (*.f64 z 1/2)))
(-.f64 (/.f64 (*.f64 x z) 2) (/.f64 y 8))
(-.f64 (/.f64 x (/.f64 2 z)) (/.f64 y 8))
(-.f64 (*.f64 (/.f64 x 2) z) (/.f64 y 8))
(fma.f64 (/.f64 x 2) z (/.f64 (neg.f64 y) 8))
(-.f64 (*.f64 x (/.f64 z 2)) (/.f64 y 8))
(fma.f64 z (/.f64 x 2) (*.f64 -1/8 y))
(fma.f64 x (/.f64 z 2) (*.f64 y -1/8))
(fma.f64 x (*.f64 1/2 z) (*.f64 y -1/8))
(fma.f64 x (*.f64 z 1/2) (*.f64 y -1/8))
Symmetry

(sort x y)

Compiler

Compiled 15 to 12 computations (20% saved)

simplify36.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
209×fma-def_binary64
157×fma-neg_binary64
57×cancel-sign-sub-inv_binary64
42×distribute-rgt-neg-in_binary64
38×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01013
11513
22613
33913
46911
512211
623711
742711
867811
996811
10108311
11111311
12111611
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
Outputs
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
(-.f64 (/.f64 x (/.f64 2 y)) (/.f64 z 8))
(-.f64 (*.f64 (/.f64 x 2) y) (/.f64 z 8))
(-.f64 (*.f64 y (/.f64 x 2)) (/.f64 z 8))
(fma.f64 y (/.f64 x 2) (/.f64 (neg.f64 z) 8))
(fma.f64 y (/.f64 x 2) (*.f64 -1/8 z))
(fma.f64 y (/.f64 x 2) (*.f64 z -1/8))
(fma.f64 x (/.f64 y 2) (*.f64 z -1/8))
(fma.f64 x (*.f64 1/2 y) (*.f64 z -1/8))
(fma.f64 x (*.f64 y 1/2) (*.f64 z -1/8))

eval1.0ms (0%)

Compiler

Compiled 20 to 14 computations (30% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
▶0b
(fma.f64 x (*.f64 y 1/2) (*.f64 z -1/8))
Compiler

Compiled 23 to 17 computations (26.1% saved)

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
Compiler

Compiled 28 to 15 computations (46.4% saved)

series9.0ms (0.2%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
4.0ms
y
@0
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
1.0ms
x
@0
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
1.0ms
x
@inf
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
1.0ms
y
@inf
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
1.0ms
z
@0
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))

rewrite86.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
834×prod-diff_binary64
533×log-prod_binary64
293×pow2_binary64
279×fma-def_binary64
206×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01013
123111
2322011
Stop Event
1×node limit
Counts
1 → 185
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 y 1/2)) (*.f64 z -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 y 1/2)) (*.f64 (*.f64 z -1/8) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 y 1/2) (*.f64 z -1/8)) (fma.f64 -1/8 z (*.f64 z 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 y 1/2) (*.f64 z -1/8)) (fma.f64 (*.f64 z -1/8) 1 (*.f64 z 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 y 1/2) (*.f64 z -1/8)) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) 1/2)) (cbrt.f64 (*.f64 (*.f64 z z) 1/64)) (*.f64 z 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 y 1/2) (*.f64 z -1/8)) (+.f64 (*.f64 z -1/8) (*.f64 z 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 y 1/2) (*.f64 z -1/8)) (fma.f64 -1 (*.f64 z 1/8) (*.f64 z 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 y 1/2) (*.f64 z -1/8)) (fma.f64 (neg.f64 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(*.f64 z z) 1/64)) (*.f64 z 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (*.f64 y 1/2) (*.f64 z -1/8)) (+.f64 (*.f64 z -1/8) (*.f64 z 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z -1/8) (*.f64 x (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 z z) 1/64)) (neg.f64 (*.f64 (cbrt.f64 z) 1/2)) (*.f64 x (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (*.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 1/2))) 2) (*.f64 z -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (*.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 1/2))) 2) (*.f64 (*.f64 z -1/8) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 y 1/2))) (*.f64 z -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 y 1/2))) 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simplify20.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
8×fma-def_binary64
6×*-commutative_binary64
3×associate-*r*_binary64
3×associate-*l*_binary64
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011348
118348
228348
334348
Stop Event
1×saturated
Counts
221 → 190
Calls
Call 1
Inputs
(*.f64 -1/8 z)
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(*.f64 1/2 (*.f64 y x))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(*.f64 1/2 (*.f64 y x))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(*.f64 -1/8 z)
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(*.f64 1/2 (*.f64 y x))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(*.f64 1/2 (*.f64 y x))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(*.f64 1/2 (*.f64 y x))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(*.f64 -1/8 z)
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(*.f64 -1/8 z)
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
Outputs
(*.f64 -1/8 z)
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z))
(*.f64 1/2 (*.f64 y x))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z))
(*.f64 1/2 (*.f64 y x))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z))
(*.f64 -1/8 z)
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z))
(*.f64 1/2 (*.f64 y x))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z))
(*.f64 1/2 (*.f64 y x))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z))
(*.f64 1/2 (*.f64 y x))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z))
(*.f64 -1/8 z)
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z))
(*.f64 -1/8 z)
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z))

localize12.0ms (0.3%)

Compiler

Compiled 22 to 14 computations (36.4% saved)

eval76.0ms (1.8%)

Compiler

Compiled 4009 to 2497 computations (37.7% saved)

prune30.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1873190
Fresh000
Picked101
Done011
Total1884192
Error
0b
Counts
192 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
▶10.2b
(/.f64 (-.f64 (*.f64 x 8) (*.f64 (/.f64 2 y) z)) (*.f64 (/.f64 2 y) 8))
▶37.3b
(*.f64 1/2 (*.f64 y x))
▶25.2b
(*.f64 -1/8 z)
Compiler

Compiled 44 to 34 computations (22.7% saved)

localize4.0ms (0.1%)

Compiler

Compiled 8 to 6 computations (25% saved)

localize6.0ms (0.1%)

Compiler

Compiled 14 to 7 computations (50% saved)

localize20.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 x 8) (*.f64 (/.f64 2 y) z))
✓0.2b
(*.f64 (/.f64 2 y) z)
✓9.6b
(/.f64 (-.f64 (*.f64 x 8) (*.f64 (/.f64 2 y) z)) (*.f64 (/.f64 2 y) 8))
Compiler

Compiled 48 to 33 computations (31.3% saved)

series15.0ms (0.3%)

Counts
3 → 96
Calls

24 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(/.f64 (-.f64 (*.f64 x 8) (*.f64 (/.f64 2 y) z)) (*.f64 (/.f64 2 y) 8))
2.0ms
z
@-inf
(-.f64 (*.f64 x 8) (*.f64 (/.f64 2 y) z))
1.0ms
x
@0
(/.f64 (-.f64 (*.f64 x 8) (*.f64 (/.f64 2 y) z)) (*.f64 (/.f64 2 y) 8))
1.0ms
y
@0
(/.f64 (-.f64 (*.f64 x 8) (*.f64 (/.f64 2 y) z)) (*.f64 (/.f64 2 y) 8))
1.0ms
z
@0
(/.f64 (-.f64 (*.f64 x 8) (*.f64 (/.f64 2 y) z)) (*.f64 (/.f64 2 y) 8))

rewrite109.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
793×log-prod_binary64
433×fma-def_binary64
251×expm1-udef_binary64
251×log1p-udef_binary64
236×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01239
128135
2413235
Stop Event
1×node limit
Counts
3 → 263
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x 8) (*.f64 (/.f64 2 y) z)) (*.f64 (/.f64 2 y) 8))
(*.f64 (/.f64 2 y) z)
(-.f64 (*.f64 x 8) (*.f64 (/.f64 2 y) z))
Outputs
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2) (pow.f64 (*.f64 2 (/.f64 z y)) 2)) (/.f64 1 (fma.f64 x 8 (*.f64 2 (/.f64 z y)))) (*.f64 (fma.f64 z (/.f64 -2 y) (*.f64 2 (/.f64 z y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 x 8) 2) (pow.f64 (*.f64 2 (/.f64 z y)) 2)) (/.f64 1 (fma.f64 x 8 (*.f64 2 (/.f64 z y)))) (+.f64 (fma.f64 z (/.f64 -2 y) (*.f64 2 (/.f64 z y))) (fma.f64 z (/.f64 -2 y) (*.f64 2 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 y) z (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 z (/.f64 -2 y) (*.f64 2 (/.f64 z y)))) (cbrt.f64 (fma.f64 z (/.f64 -2 y) (*.f64 2 (/.f64 z y))))) (cbrt.f64 (fma.f64 z (/.f64 -2 y) (*.f64 2 (/.f64 z y)))) (fma.f64 x 8 (*.f64 z (/.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 z (/.f64 -2 y))) (cbrt.f64 (*.f64 z (/.f64 -2 y)))) (cbrt.f64 (*.f64 z (/.f64 -2 y))) (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 z (/.f64 -2 y) (*.f64 2 (/.f64 z y)))) (sqrt.f64 (fma.f64 z (/.f64 -2 y) (*.f64 2 (/.f64 z y)))) (fma.f64 x 8 (*.f64 z (/.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (/.f64 -2 y))) (sqrt.f64 (*.f64 z (/.f64 -2 y))) (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (/.f64 z y)))) (sqrt.f64 (*.f64 2 (/.f64 z y))) (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 2 (/.f64 z y)) (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x 8)) (sqrt.f64 (*.f64 2 (/.f64 z y)))) (-.f64 (sqrt.f64 (*.f64 x 8)) (sqrt.f64 (*.f64 2 (/.f64 z y)))) (fma.f64 z (/.f64 -2 y) (*.f64 2 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x 8)) (sqrt.f64 (*.f64 2 (/.f64 z y)))) (-.f64 (sqrt.f64 (*.f64 x 8)) (sqrt.f64 (*.f64 2 (/.f64 z y)))) (fma.f64 (*.f64 z (/.f64 -2 y)) 1 (*.f64 2 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x 8)) (sqrt.f64 (*.f64 2 (/.f64 z y)))) (-.f64 (sqrt.f64 (*.f64 x 8)) (sqrt.f64 (*.f64 2 (/.f64 z y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (/.f64 z y)))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 z y))) 2) (*.f64 2 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x 8)) (sqrt.f64 (*.f64 2 (/.f64 z y)))) (-.f64 (sqrt.f64 (*.f64 x 8)) (sqrt.f64 (*.f64 2 (/.f64 z y)))) (*.f64 (fma.f64 z (/.f64 -2 y) (*.f64 2 (/.f64 z y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x 8)) (sqrt.f64 (*.f64 2 (/.f64 z y)))) (-.f64 (sqrt.f64 (*.f64 x 8)) (sqrt.f64 (*.f64 2 (/.f64 z y)))) (+.f64 (fma.f64 z (/.f64 -2 y) (*.f64 2 (/.f64 z y))) (fma.f64 z (/.f64 -2 y) (*.f64 2 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 z y))) 2)) (cbrt.f64 (*.f64 2 (/.f64 z y))) (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -2 y) 1) z (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -2 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -2 y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 8 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 z (/.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 8 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 z (/.f64 -2 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 8 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 z (/.f64 -2 y) (fma.f64 z (/.f64 -2 y) (*.f64 2 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 8 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 2 (/.f64 z y)) (fma.f64 z (/.f64 -2 y) (*.f64 2 (/.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 8 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (/.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 8 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 z (/.f64 -2 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 8 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 z (/.f64 -2 y) (fma.f64 z (/.f64 -2 y) (*.f64 2 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 8 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 2 (/.f64 z y)) (fma.f64 z (/.f64 -2 y) (*.f64 2 (/.f64 z y))))))))))

simplify41.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
14×fma-def_binary64
13×*-commutative_binary64
4×associate-/l*_binary64
3×associate-*r*_binary64
3×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019861
135861
255861
369861
472861
573861
Stop Event
1×saturated
Counts
359 → 275
Calls
Call 1
Inputs
(*.f64 -1/8 z)
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(*.f64 1/2 (*.f64 y x))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(*.f64 1/2 (*.f64 y x))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(*.f64 -1/8 z)
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(*.f64 1/2 (*.f64 y x))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(*.f64 1/2 (*.f64 y x))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(*.f64 1/2 (*.f64 y x))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(*.f64 -1/8 z)
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(*.f64 -1/8 z)
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(*.f64 2 (/.f64 z y))
(*.f64 2 (/.f64 z y))
(*.f64 2 (/.f64 z y))
(*.f64 2 (/.f64 z y))
(*.f64 2 (/.f64 z y))
(*.f64 2 (/.f64 z y))
(*.f64 2 (/.f64 z y))
(*.f64 2 (/.f64 z y))
(*.f64 2 (/.f64 z y))
(*.f64 2 (/.f64 z y))
(*.f64 2 (/.f64 z y))
(*.f64 2 (/.f64 z y))
(*.f64 2 (/.f64 z y))
(*.f64 2 (/.f64 z y))
(*.f64 2 (/.f64 z y))
(*.f64 2 (/.f64 z y))
(*.f64 2 (/.f64 z y))
(*.f64 2 (/.f64 z y))
(*.f64 2 (/.f64 z y))
(*.f64 2 (/.f64 z y))
(*.f64 2 (/.f64 z y))
(*.f64 2 (/.f64 z y))
(*.f64 2 (/.f64 z y))
(*.f64 2 (/.f64 z y))
(*.f64 -2 (/.f64 z y))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(*.f64 8 x)
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(*.f64 8 x)
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(*.f64 -2 (/.f64 z y))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(*.f64 8 x)
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(*.f64 8 x)
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(*.f64 8 x)
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(*.f64 -2 (/.f64 z y))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(*.f64 -2 (/.f64 z y))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
Outputs
(*.f64 -1/8 z)
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x))
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x))
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x))
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(*.f64 1/2 (*.f64 y x))
(*.f64 (*.f64 1/2 y) x)
(*.f64 x (*.f64 1/2 y))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x))
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x))
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x))
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(*.f64 1/2 (*.f64 y x))
(*.f64 (*.f64 1/2 y) x)
(*.f64 x (*.f64 1/2 y))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x))
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x))
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x))
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(*.f64 -1/8 z)
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x))
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x))
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x))
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(*.f64 1/2 (*.f64 y x))
(*.f64 (*.f64 1/2 y) x)
(*.f64 x (*.f64 1/2 y))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x))
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x))
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x))
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(*.f64 1/2 (*.f64 y x))
(*.f64 (*.f64 1/2 y) x)
(*.f64 x (*.f64 1/2 y))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x))
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x))
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x))
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(*.f64 1/2 (*.f64 y x))
(*.f64 (*.f64 1/2 y) x)
(*.f64 x (*.f64 1/2 y))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x))
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x))
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x)))
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x))
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(*.f64 -1/8 z)
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x))
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x))
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x))
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(*.f64 -1/8 z)
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x))
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x))
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x))
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y)))
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x)))
(*.f64 2 (/.f64 z y))
(/.f64 (*.f64 2 z) y)
(/.f64 2 (/.f64 y z))
(*.f64 2 (/.f64 z y))
(/.f64 (*.f64 2 z) y)
(/.f64 2 (/.f64 y z))
(*.f64 2 (/.f64 z y))
(/.f64 (*.f64 2 z) y)
(/.f64 2 (/.f64 y z))
(*.f64 2 (/.f64 z y))
(/.f64 (*.f64 2 z) y)
(/.f64 2 (/.f64 y z))
(*.f64 2 (/.f64 z y))
(/.f64 (*.f64 2 z) y)
(/.f64 2 (/.f64 y z))
(*.f64 2 (/.f64 z y))
(/.f64 (*.f64 2 z) y)
(/.f64 2 (/.f64 y z))
(*.f64 2 (/.f64 z y))
(/.f64 (*.f64 2 z) y)
(/.f64 2 (/.f64 y z))
(*.f64 2 (/.f64 z y))
(/.f64 (*.f64 2 z) y)
(/.f64 2 (/.f64 y z))
(*.f64 2 (/.f64 z y))
(/.f64 (*.f64 2 z) y)
(/.f64 2 (/.f64 y z))
(*.f64 2 (/.f64 z y))
(/.f64 (*.f64 2 z) y)
(/.f64 2 (/.f64 y z))
(*.f64 2 (/.f64 z y))
(/.f64 (*.f64 2 z) y)
(/.f64 2 (/.f64 y z))
(*.f64 2 (/.f64 z y))
(/.f64 (*.f64 2 z) y)
(/.f64 2 (/.f64 y z))
(*.f64 2 (/.f64 z y))
(/.f64 (*.f64 2 z) y)
(/.f64 2 (/.f64 y z))
(*.f64 2 (/.f64 z y))
(/.f64 (*.f64 2 z) y)
(/.f64 2 (/.f64 y z))
(*.f64 2 (/.f64 z y))
(/.f64 (*.f64 2 z) y)
(/.f64 2 (/.f64 y z))
(*.f64 2 (/.f64 z y))
(/.f64 (*.f64 2 z) y)
(/.f64 2 (/.f64 y z))
(*.f64 2 (/.f64 z y))
(/.f64 (*.f64 2 z) y)
(/.f64 2 (/.f64 y z))
(*.f64 2 (/.f64 z y))
(/.f64 (*.f64 2 z) y)
(/.f64 2 (/.f64 y z))
(*.f64 2 (/.f64 z y))
(/.f64 (*.f64 2 z) y)
(/.f64 2 (/.f64 y z))
(*.f64 2 (/.f64 z y))
(/.f64 (*.f64 2 z) y)
(/.f64 2 (/.f64 y z))
(*.f64 2 (/.f64 z y))
(/.f64 (*.f64 2 z) y)
(/.f64 2 (/.f64 y z))
(*.f64 2 (/.f64 z y))
(/.f64 (*.f64 2 z) y)
(/.f64 2 (/.f64 y z))
(*.f64 2 (/.f64 z y))
(/.f64 (*.f64 2 z) y)
(/.f64 2 (/.f64 y z))
(*.f64 2 (/.f64 z y))
(/.f64 (*.f64 2 z) y)
(/.f64 2 (/.f64 y z))
(*.f64 -2 (/.f64 z y))
(/.f64 (*.f64 -2 z) y)
(/.f64 -2 (/.f64 y z))
(/.f64 (*.f64 z -2) y)
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(fma.f64 -2 (/.f64 z y) (*.f64 x 8))
(fma.f64 x 8 (/.f64 -2 (/.f64 y z)))
(fma.f64 x 8 (/.f64 (*.f64 z -2) y))
(fma.f64 z (/.f64 -2 y) (*.f64 x 8))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(fma.f64 -2 (/.f64 z y) (*.f64 x 8))
(fma.f64 x 8 (/.f64 -2 (/.f64 y z)))
(fma.f64 x 8 (/.f64 (*.f64 z -2) y))
(fma.f64 z (/.f64 -2 y) (*.f64 x 8))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(fma.f64 -2 (/.f64 z y) (*.f64 x 8))
(fma.f64 x 8 (/.f64 -2 (/.f64 y z)))
(fma.f64 x 8 (/.f64 (*.f64 z -2) y))
(fma.f64 z (/.f64 -2 y) (*.f64 x 8))
(*.f64 8 x)
(*.f64 x 8)
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(fma.f64 -2 (/.f64 z y) (*.f64 x 8))
(fma.f64 x 8 (/.f64 -2 (/.f64 y z)))
(fma.f64 x 8 (/.f64 (*.f64 z -2) y))
(fma.f64 z (/.f64 -2 y) (*.f64 x 8))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(fma.f64 -2 (/.f64 z y) (*.f64 x 8))
(fma.f64 x 8 (/.f64 -2 (/.f64 y z)))
(fma.f64 x 8 (/.f64 (*.f64 z -2) y))
(fma.f64 z (/.f64 -2 y) (*.f64 x 8))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(fma.f64 -2 (/.f64 z y) (*.f64 x 8))
(fma.f64 x 8 (/.f64 -2 (/.f64 y z)))
(fma.f64 x 8 (/.f64 (*.f64 z -2) y))
(fma.f64 z (/.f64 -2 y) (*.f64 x 8))
(*.f64 8 x)
(*.f64 x 8)
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(fma.f64 -2 (/.f64 z y) (*.f64 x 8))
(fma.f64 x 8 (/.f64 -2 (/.f64 y z)))
(fma.f64 x 8 (/.f64 (*.f64 z -2) y))
(fma.f64 z (/.f64 -2 y) (*.f64 x 8))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(fma.f64 -2 (/.f64 z y) (*.f64 x 8))
(fma.f64 x 8 (/.f64 -2 (/.f64 y z)))
(fma.f64 x 8 (/.f64 (*.f64 z -2) y))
(fma.f64 z (/.f64 -2 y) (*.f64 x 8))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(fma.f64 -2 (/.f64 z y) (*.f64 x 8))
(fma.f64 x 8 (/.f64 -2 (/.f64 y z)))
(fma.f64 x 8 (/.f64 (*.f64 z -2) y))
(fma.f64 z (/.f64 -2 y) (*.f64 x 8))
(*.f64 -2 (/.f64 z y))
(/.f64 (*.f64 -2 z) y)
(/.f64 -2 (/.f64 y z))
(/.f64 (*.f64 z -2) y)
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(fma.f64 -2 (/.f64 z y) (*.f64 x 8))
(fma.f64 x 8 (/.f64 -2 (/.f64 y z)))
(fma.f64 x 8 (/.f64 (*.f64 z -2) y))
(fma.f64 z (/.f64 -2 y) (*.f64 x 8))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(fma.f64 -2 (/.f64 z y) (*.f64 x 8))
(fma.f64 x 8 (/.f64 -2 (/.f64 y z)))
(fma.f64 x 8 (/.f64 (*.f64 z -2) y))
(fma.f64 z (/.f64 -2 y) (*.f64 x 8))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(fma.f64 -2 (/.f64 z y) (*.f64 x 8))
(fma.f64 x 8 (/.f64 -2 (/.f64 y z)))
(fma.f64 x 8 (/.f64 (*.f64 z -2) y))
(fma.f64 z (/.f64 -2 y) (*.f64 x 8))
(*.f64 8 x)
(*.f64 x 8)
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(fma.f64 -2 (/.f64 z y) (*.f64 x 8))
(fma.f64 x 8 (/.f64 -2 (/.f64 y z)))
(fma.f64 x 8 (/.f64 (*.f64 z -2) y))
(fma.f64 z (/.f64 -2 y) (*.f64 x 8))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(fma.f64 -2 (/.f64 z y) (*.f64 x 8))
(fma.f64 x 8 (/.f64 -2 (/.f64 y z)))
(fma.f64 x 8 (/.f64 (*.f64 z -2) y))
(fma.f64 z (/.f64 -2 y) (*.f64 x 8))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(fma.f64 -2 (/.f64 z y) (*.f64 x 8))
(fma.f64 x 8 (/.f64 -2 (/.f64 y z)))
(fma.f64 x 8 (/.f64 (*.f64 z -2) y))
(fma.f64 z (/.f64 -2 y) (*.f64 x 8))
(*.f64 8 x)
(*.f64 x 8)
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(fma.f64 -2 (/.f64 z y) (*.f64 x 8))
(fma.f64 x 8 (/.f64 -2 (/.f64 y z)))
(fma.f64 x 8 (/.f64 (*.f64 z -2) y))
(fma.f64 z (/.f64 -2 y) (*.f64 x 8))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(fma.f64 -2 (/.f64 z y) (*.f64 x 8))
(fma.f64 x 8 (/.f64 -2 (/.f64 y z)))
(fma.f64 x 8 (/.f64 (*.f64 z -2) y))
(fma.f64 z (/.f64 -2 y) (*.f64 x 8))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(fma.f64 -2 (/.f64 z y) (*.f64 x 8))
(fma.f64 x 8 (/.f64 -2 (/.f64 y z)))
(fma.f64 x 8 (/.f64 (*.f64 z -2) y))
(fma.f64 z (/.f64 -2 y) (*.f64 x 8))
(*.f64 8 x)
(*.f64 x 8)
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(fma.f64 -2 (/.f64 z y) (*.f64 x 8))
(fma.f64 x 8 (/.f64 -2 (/.f64 y z)))
(fma.f64 x 8 (/.f64 (*.f64 z -2) y))
(fma.f64 z (/.f64 -2 y) (*.f64 x 8))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(fma.f64 -2 (/.f64 z y) (*.f64 x 8))
(fma.f64 x 8 (/.f64 -2 (/.f64 y z)))
(fma.f64 x 8 (/.f64 (*.f64 z -2) y))
(fma.f64 z (/.f64 -2 y) (*.f64 x 8))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(fma.f64 -2 (/.f64 z y) (*.f64 x 8))
(fma.f64 x 8 (/.f64 -2 (/.f64 y z)))
(fma.f64 x 8 (/.f64 (*.f64 z -2) y))
(fma.f64 z (/.f64 -2 y) (*.f64 x 8))
(*.f64 -2 (/.f64 z y))
(/.f64 (*.f64 -2 z) y)
(/.f64 -2 (/.f64 y z))
(/.f64 (*.f64 z -2) y)
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(fma.f64 -2 (/.f64 z y) (*.f64 x 8))
(fma.f64 x 8 (/.f64 -2 (/.f64 y z)))
(fma.f64 x 8 (/.f64 (*.f64 z -2) y))
(fma.f64 z (/.f64 -2 y) (*.f64 x 8))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(fma.f64 -2 (/.f64 z y) (*.f64 x 8))
(fma.f64 x 8 (/.f64 -2 (/.f64 y z)))
(fma.f64 x 8 (/.f64 (*.f64 z -2) y))
(fma.f64 z (/.f64 -2 y) (*.f64 x 8))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(fma.f64 -2 (/.f64 z y) (*.f64 x 8))
(fma.f64 x 8 (/.f64 -2 (/.f64 y z)))
(fma.f64 x 8 (/.f64 (*.f64 z -2) y))
(fma.f64 z (/.f64 -2 y) (*.f64 x 8))
(*.f64 -2 (/.f64 z y))
(/.f64 (*.f64 -2 z) y)
(/.f64 -2 (/.f64 y z))
(/.f64 (*.f64 z -2) y)
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(fma.f64 -2 (/.f64 z y) (*.f64 x 8))
(fma.f64 x 8 (/.f64 -2 (/.f64 y z)))
(fma.f64 x 8 (/.f64 (*.f64 z -2) y))
(fma.f64 z (/.f64 -2 y) (*.f64 x 8))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(fma.f64 -2 (/.f64 z y) (*.f64 x 8))
(fma.f64 x 8 (/.f64 -2 (/.f64 y z)))
(fma.f64 x 8 (/.f64 (*.f64 z -2) y))
(fma.f64 z (/.f64 -2 y) (*.f64 x 8))
(+.f64 (*.f64 -2 (/.f64 z y)) (*.f64 8 x))
(fma.f64 -2 (/.f64 z y) (*.f64 x 8))
(fma.f64 x 8 (/.f64 -2 (/.f64 y z)))
(fma.f64 x 8 (/.f64 (*.f64 z -2) y))
(fma.f64 z (/.f64 -2 y) (*.f64 x 8))

eval189.0ms (4.4%)

Compiler

Compiled 6891 to 4726 computations (31.4% saved)

prune57.0ms (1.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2750275
Fresh000
Picked011
Done033
Total2754279
Error
0b
Counts
279 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
✓10.2b
(/.f64 (-.f64 (*.f64 x 8) (*.f64 (/.f64 2 y) z)) (*.f64 (/.f64 2 y) 8))
✓37.3b
(*.f64 1/2 (*.f64 y x))
✓25.2b
(*.f64 -1/8 z)
Compiler

Compiled 44 to 34 computations (22.7% saved)

regimes48.0ms (1.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 -1/8 z)
(*.f64 1/2 (*.f64 y x))
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
(/.f64 (-.f64 (*.f64 x 8) (*.f64 (/.f64 2 y) z)) (*.f64 (/.f64 2 y) 8))
(fma.f64 x (*.f64 y 1/2) (*.f64 z -1/8))
Outputs
(fma.f64 x (*.f64 y 1/2) (*.f64 z -1/8))
Calls

10 calls:

5.0ms
(/.f64 z 8)
5.0ms
z
5.0ms
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
5.0ms
(*.f64 x y)
5.0ms
x
Results
ErrorSegmentsBranch
0b1x
0b1y
0b1z
0b1(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
0b1(/.f64 (*.f64 x y) 2)
0b1(/.f64 (*.f64 x y) 2)
0b1(*.f64 x y)
0b1(*.f64 x y)
0b1(/.f64 z 8)
0b1(/.f64 z 8)
Compiler

Compiled 107 to 78 computations (27.1% saved)

regimes65.0ms (1.5%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 -1/8 z)
(*.f64 1/2 (*.f64 y x))
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
(/.f64 (-.f64 (*.f64 x 8) (*.f64 (/.f64 2 y) z)) (*.f64 (/.f64 2 y) 8))
Outputs
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
Calls

7 calls:

9.0ms
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
9.0ms
x
9.0ms
z
9.0ms
(/.f64 (*.f64 x y) 2)
9.0ms
y
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
0.0b1(/.f64 (*.f64 x y) 2)
0.0b1(*.f64 x y)
0.0b1(/.f64 z 8)
Compiler

Compiled 79 to 58 computations (26.6% saved)

regimes61.0ms (1.4%)

Accuracy

Total -49.2b remaining (-393.2%)

Threshold costs -49.2b (-393.2%)

Counts
2 → 5
Calls
Call 1
Inputs
(*.f64 -1/8 z)
(*.f64 1/2 (*.f64 y x))
Outputs
(*.f64 -1/8 z)
(*.f64 1/2 (*.f64 y x))
(*.f64 -1/8 z)
(*.f64 1/2 (*.f64 y x))
(*.f64 -1/8 z)
Calls

3 calls:

24.0ms
y
20.0ms
z
15.0ms
x
Results
ErrorSegmentsBranch
15.8b5x
17.0b7y
12.5b5z
Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch74.0ms (1.7%)

Algorithm
4×binary-search
Steps
TimeLeftRight
18.0ms
7.164541242902302e-42
3.451909955675431e-36
19.0ms
-1.8730379814302309e-124
-1.729137808388084e-135
19.0ms
-4.255119165785194e-88
-1.329668881206438e-89
19.0ms
-3.535104172867044e-23
-3.4479988544306924e-27
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
6×*-commutative_binary64
3×+-commutative_binary64
3×sub-neg_binary64
2×neg-sub0_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03178
13778
24478
34878
45178
55278
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(fma.f64 x (*.f64 y 1/2) (*.f64 z -1/8))
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
(if (<=.f64 z -6014668076276421/170141183460469231731687303715884105728) (*.f64 -1/8 z) (if (<=.f64 z -3812152311562957/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (*.f64 1/2 (*.f64 y x)) (if (<=.f64 z -2230512086187979/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904) (*.f64 -1/8 z) (if (<=.f64 z 351348080227121/49039857307708443467467104868809893875799651909875269632) (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)))))
(*.f64 -1/8 z)
Outputs
(fma.f64 x (*.f64 y 1/2) (*.f64 z -1/8))
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
(if (<=.f64 z -6014668076276421/170141183460469231731687303715884105728) (*.f64 -1/8 z) (if (<=.f64 z -3812152311562957/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (*.f64 1/2 (*.f64 y x)) (if (<=.f64 z -2230512086187979/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904) (*.f64 -1/8 z) (if (<=.f64 z 351348080227121/49039857307708443467467104868809893875799651909875269632) (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)))))
(if (<=.f64 z -6014668076276421/170141183460469231731687303715884105728) (*.f64 z -1/8) (if (<=.f64 z -3812152311562957/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (*.f64 1/2 (*.f64 x y)) (if (<=.f64 z -2230512086187979/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904) (*.f64 z -1/8) (if (<=.f64 z 351348080227121/49039857307708443467467104868809893875799651909875269632) (*.f64 1/2 (*.f64 x y)) (*.f64 z -1/8)))))
(*.f64 -1/8 z)
(*.f64 z -1/8)
Compiler

Compiled 67 to 48 computations (28.4% saved)

soundness70.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
209×fma-def_binary64
157×fma-neg_binary64
57×cancel-sign-sub-inv_binary64
42×distribute-rgt-neg-in_binary64
38×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01013
11513
22613
33913
46911
512211
623711
742711
867811
996811
10108311
11111311
12111611
Stop Event
1×saturated
Compiler

Compiled 230 to 176 computations (23.5% saved)

end40.0ms (0.9%)

Remove

(sort x y)

Compiler

Compiled 80 to 54 computations (32.5% saved)

Profiling

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