Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C

Time bar (total: 5.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample640.0ms (12.7%)

Memory
22.5MiB live, 839.0MiB allocated
Samples
385.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 188.0ms
ival-sqrt: 80.0ms (42.5% of total)
ival-sub: 52.0ms (27.6% of total)
ival-fabs: 47.0ms (25% of total)
ival-true: 6.0ms (3.2% of total)
ival-assert: 3.0ms (1.6% of total)
Bogosity

explain58.0ms (1.1%)

Memory
-23.0MiB live, 130.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(fabs.f64 (-.f64 x y))
00-0-(-.f64 x y)
00-0-(sqrt.f64 (fabs.f64 (-.f64 x y)))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
26.0ms512×0valid
Compiler

Compiled 37 to 19 computations (48.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 3.0ms (31.8% of total)
ival-fabs: 3.0ms (31.8% of total)
ival-sqrt: 3.0ms (31.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess21.0ms (0.4%)

Memory
15.6MiB live, 54.0MiB allocated
Algorithm
1×egg-herbie
Rules
80×lower-fma.f64
80×lower-fma.f32
52×lower-*.f64
52×lower-*.f32
50×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01531
13527
27227
313727
418527
519727
619927
055
085
1125
2195
3275
4465
5935
61445
71655
81735
01735
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
Symmetry

(sort x y)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(sqrt.f64 (fabs.f64 (-.f64 x y)))
Compiler

Compiled 5 to 5 computations (0% saved)

simplify6.0ms (0.1%)

Memory
20.2MiB live, 20.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x y)
cost-diff0
(fabs.f64 (-.f64 x y))
cost-diff0
(sqrt.f64 (fabs.f64 (-.f64 x y)))
Rules
80×lower-fma.f64
80×lower-fma.f32
52×lower-*.f64
52×lower-*.f32
34×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0514
0814
11214
21914
32714
44614
59314
614414
716514
817314
017314
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y
Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(-.f64 x y)
x
y

localize16.0ms (0.3%)

Memory
-4.5MiB live, 34.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x y)
accuracy0
(fabs.f64 (-.f64 x y))
accuracy0.0078125
(sqrt.f64 (fabs.f64 (-.f64 x y)))
Samples
12.0ms256×0valid
Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sqrt: 4.0ms (61.2% of total)
ival-sub: 1.0ms (15.3% of total)
ival-fabs: 1.0ms (15.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-29.4MiB live, 8.4MiB allocated
Counts
3 → 72
Calls
Call 1
Inputs
#s(alt (sqrt.f64 (fabs.f64 (-.f64 x y))) (patch (sqrt.f64 (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())
#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt (sqrt (fabs (- x y))) (taylor 0 y) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 x y))) (patch (sqrt.f64 (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor 0 y) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 x y))) (patch (sqrt.f64 (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor 0 y) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 x y))) (patch (sqrt.f64 (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor 0 y) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 x y))) (patch (sqrt.f64 (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor inf y) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 x y))) (patch (sqrt.f64 (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor inf y) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 x y))) (patch (sqrt.f64 (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor inf y) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 x y))) (patch (sqrt.f64 (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor inf y) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 x y))) (patch (sqrt.f64 (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (+ x (* -1 y)))) (taylor -inf y) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 x y))) (patch (sqrt.f64 (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (+ x (* -1 y)))) (taylor -inf y) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 x y))) (patch (sqrt.f64 (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (+ x (* -1 y)))) (taylor -inf y) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 x y))) (patch (sqrt.f64 (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (+ x (* -1 y)))) (taylor -inf y) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 x y))) (patch (sqrt.f64 (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ x (* -1 y))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ x (* -1 y))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ x (* -1 y))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ x (* -1 y))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor 0 x) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 x y))) (patch (sqrt.f64 (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor 0 x) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 x y))) (patch (sqrt.f64 (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor 0 x) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 x y))) (patch (sqrt.f64 (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor 0 x) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 x y))) (patch (sqrt.f64 (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor inf x) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 x y))) (patch (sqrt.f64 (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor inf x) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 x y))) (patch (sqrt.f64 (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor inf x) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 x y))) (patch (sqrt.f64 (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor inf x) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 x y))) (patch (sqrt.f64 (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (neg (+ y (* -1 x))))) (taylor -inf x) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 x y))) (patch (sqrt.f64 (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (neg (+ y (* -1 x))))) (taylor -inf x) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 x y))) (patch (sqrt.f64 (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (neg (+ y (* -1 x))))) (taylor -inf x) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 x y))) (patch (sqrt.f64 (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (neg (+ y (* -1 x))))) (taylor -inf x) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 x y))) (patch (sqrt.f64 (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))
1.0ms
y
@inf
((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))
0.0ms
y
@0
((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))
0.0ms
y
@-inf
((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))
0.0ms
x
@inf
((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))

simplify138.0ms (2.7%)

Memory
6.1MiB live, 144.4MiB allocated
Algorithm
1×egg-herbie
Rules
2 658×lower-fma.f64
2 658×lower-fma.f32
2 540×lower-*.f64
2 540×lower-*.f32
1 962×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030279
179279
2186279
3541279
41596279
52435279
63316279
74901279
85409279
95785279
106306279
116970279
127705279
08082279
Stop Event
1×iter limit
1×node limit
Counts
72 → 69
Calls
Call 1
Inputs
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(sqrt (fabs (+ x (* -1 y))))
(sqrt (fabs (+ x (* -1 y))))
(sqrt (fabs (+ x (* -1 y))))
(sqrt (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(* -1 y)
(- x y)
(- x y)
(- x y)
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
Outputs
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(sqrt (fabs (+ x (* -1 y))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (+ x (* -1 y))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (+ x (* -1 y))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (+ x (* -1 y))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)

rewrite193.0ms (3.8%)

Memory
-17.5MiB live, 266.5MiB allocated
Rules
4 642×lower-/.f64
4 642×lower-/.f32
4 306×lower-fma.f64
4 306×lower-fma.f32
3 256×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
0812
12912
218112
3167512
0837812
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 322
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
Outputs
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(*.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (+.f64 y x)))))
(*.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (sqrt.f64 (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (pow.f64 (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fabs.f64 (-.f64 y x))))
(pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))) (neg.f64 (sqrt.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))) (sqrt.f64 (neg.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (sqrt.f64 (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
(/.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fabs.f64 (+.f64 y x))) (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(exp.f64 (fma.f64 (log.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/4 binary64) (*.f64 (log.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fabs.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 (neg.f64 y) y (*.f64 x x)))) (fabs.f64 (-.f64 y x)))
(*.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64))))) (fabs.f64 (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x))))
(*.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (*.f64 (+.f64 y x) y) (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64))))) (fabs.f64 (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x))))
(*.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (*.f64 (+.f64 y x) y) (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x)))) (fabs.f64 (-.f64 y x)))
(*.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (+.f64 y x)))))
(*.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(*.f64 (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 y x)))
(*.f64 (fabs.f64 (+.f64 y x)) (fabs.f64 (/.f64 (-.f64 x y) (neg.f64 (+.f64 y x)))))
(*.f64 (fabs.f64 (+.f64 y x)) (fabs.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(*.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (fabs.f64 (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))) (fabs.f64 (/.f64 (-.f64 x y) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(*.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))) (fabs.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(*.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1 binary64))
(pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))) (neg.f64 (neg.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 y x) (-.f64 y x)))) (fabs.f64 (+.f64 y x)))
(/.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (fabs.f64 (+.f64 #s(literal 0 binary64) (-.f64 x y))))
(/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) (fabs.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 x y))))))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 y x))) (fabs.f64 (fma.f64 y y (*.f64 x x))))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 y x))) (fabs.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))) (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))) (fabs.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))) (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)))) (fabs.f64 (fma.f64 x (/.f64 x (+.f64 y x)) (*.f64 y (/.f64 y (+.f64 y x))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)))) (fabs.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (fabs.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))) (fabs.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x))))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))))))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (fabs.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64))) (fabs.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x))))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64))) (fabs.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) #s(literal 1 binary64))) (fabs.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (fabs.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 y y)))) (fabs.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (fabs.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (pow.f64 y #s(literal 3 binary64))))) (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))))
(/.f64 (exp.f64 (log.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))) (exp.f64 (log.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (exp.f64 (log.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (exp.f64 (log.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
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(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(-.f64 (/.f64 (*.f64 y y) (neg.f64 (+.f64 y x))) (/.f64 (*.f64 x x) (neg.f64 (+.f64 y x))))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(-.f64 x y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 y))
(+.f64 (*.f64 x (/.f64 x (+.f64 y x))) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(+.f64 (neg.f64 y) (neg.f64 (neg.f64 x)))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))

eval130.0ms (2.6%)

Memory
-10.5MiB live, 109.6MiB allocated
Compiler

Compiled 9 124 to 1 402 computations (84.6% saved)

prune10.0ms (0.2%)

Memory
25.6MiB live, 25.6MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3883391
Fresh000
Picked011
Done000
Total3884392
Accuracy
100.0%
Counts
392 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
✓100.0%
(sqrt.f64 (fabs.f64 (-.f64 x y)))
▶100.0%
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))))
▶52.4%
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify145.0ms (2.9%)

Memory
-13.5MiB live, 103.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 y x))
cost-diff0
(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
cost-diff0
(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
cost-diff0
(+.f64 y x)
cost-diff0
(fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))
cost-diff0
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))))
cost-diff1408
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- x y) (neg.f64 y))
cost-diff0
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
cost-diff0
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
Rules
7 424×lower-fma.f64
7 424×lower-fma.f32
2 160×lower-*.f32
2 158×lower-*.f64
1 576×lower--.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
019108
033116
154116
287116
318092
446384
591884
6242484
7797684
0809784
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))))
(fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))
(+.f64 y x)
y
x
(/.f64 (-.f64 x y) (+.f64 y x))
(-.f64 x y)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
#s(literal 1 binary64)
(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 y x))
(-.f64 y x)
y
x
Outputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))
(fabs.f64 (-.f64 y x))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))
(-.f64 x y)
(+.f64 y x)
y
x
(/.f64 (-.f64 x y) (+.f64 y x))
(-.f64 x y)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)))))
#s(literal 1 binary64)
(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 y x))
(/.f64 #s(literal -1 binary64) (-.f64 x y))
(-.f64 y x)
y
x

localize96.0ms (1.9%)

Memory
-13.3MiB live, 75.8MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
accuracy0.0078125
(/.f64 #s(literal 1 binary64) (-.f64 y x))
accuracy0.09375
(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
accuracy0.27734375
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
accuracy0
(fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))
accuracy0.0078125
(/.f64 (-.f64 x y) (+.f64 y x))
accuracy0.0078125
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))))
accuracy0.01171875
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))
accuracy0
(neg.f64 y)
accuracy0
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
accuracy0.0078125
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
accuracy31.515585310586303
#s(approx (- x y) (neg.f64 y))
Samples
67.0ms256×0valid
Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-sub: 39.0ms (69.5% of total)
ival-div: 5.0ms (8.9% of total)
ival-sqrt: 5.0ms (8.9% of total)
ival-fabs: 4.0ms (7.1% of total)
ival-add: 1.0ms (1.8% of total)
ival-mult: 1.0ms (1.8% of total)
ival-neg: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series29.0ms (0.6%)

Memory
-2.5MiB live, 36.0MiB allocated
Counts
13 → 300
Calls
Call 1
Inputs
#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())
#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())
#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))) (patch (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))) #<representation binary64>) () ())
#s(alt (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))) (patch (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))) #<representation binary64>) () ())
#s(alt (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))) (patch (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x y) (+.f64 y x)) (patch (/.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())
Outputs
#s(alt (sqrt (fabs (- x y))) (taylor 0 y) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor 0 y) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor 0 y) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor 0 y) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (patch (sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))) (patch (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))) (patch (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))) (patch (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))) (patch (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor 0 y) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor 0 y) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor 0 y) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- x y))) (taylor 0 y) (#s(alt (sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))) (patch (sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))) (patch (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))) (patch (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))) (patch (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))) (patch (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (fabs (/ 1 (- y x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (fabs (/ 1 (- y x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (fabs (/ 1 (- y x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (fabs (/ 1 (- y x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (+.f64 y x)) (patch (/.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (* (+ y x) (/ (- x y) (+ y x))) (sqrt (fabs (* (+ y x) (/ (- x y) (+ y x))))) (fabs (* (+ y x) (/ (- x y) (+ y x)))) (+ y x) (/ 1 (sqrt (fabs (/ 1 (- y x))))) (sqrt (fabs (/ 1 (- y x)))) (fabs (/ 1 (- y x))) (/ 1 (- y x)) (/ (- x y) (+ y x)))
2.0ms
y
@inf
((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (* (+ y x) (/ (- x y) (+ y x))) (sqrt (fabs (* (+ y x) (/ (- x y) (+ y x))))) (fabs (* (+ y x) (/ (- x y) (+ y x)))) (+ y x) (/ 1 (sqrt (fabs (/ 1 (- y x))))) (sqrt (fabs (/ 1 (- y x)))) (fabs (/ 1 (- y x))) (/ 1 (- y x)) (/ (- x y) (+ y x)))
2.0ms
y
@-inf
((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (* (+ y x) (/ (- x y) (+ y x))) (sqrt (fabs (* (+ y x) (/ (- x y) (+ y x))))) (fabs (* (+ y x) (/ (- x y) (+ y x)))) (+ y x) (/ 1 (sqrt (fabs (/ 1 (- y x))))) (sqrt (fabs (/ 1 (- y x)))) (fabs (/ 1 (- y x))) (/ 1 (- y x)) (/ (- x y) (+ y x)))
2.0ms
x
@inf
((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (* (+ y x) (/ (- x y) (+ y x))) (sqrt (fabs (* (+ y x) (/ (- x y) (+ y x))))) (fabs (* (+ y x) (/ (- x y) (+ y x)))) (+ y x) (/ 1 (sqrt (fabs (/ 1 (- y x))))) (sqrt (fabs (/ 1 (- y x)))) (fabs (/ 1 (- y x))) (/ 1 (- y x)) (/ (- x y) (+ y x)))
2.0ms
y
@0
((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (* (+ y x) (/ (- x y) (+ y x))) (sqrt (fabs (* (+ y x) (/ (- x y) (+ y x))))) (fabs (* (+ y x) (/ (- x y) (+ y x)))) (+ y x) (/ 1 (sqrt (fabs (/ 1 (- y x))))) (sqrt (fabs (/ 1 (- y x)))) (fabs (/ 1 (- y x))) (/ 1 (- y x)) (/ (- x y) (+ y x)))

simplify249.0ms (4.9%)

Memory
19.7MiB live, 134.7MiB allocated
Algorithm
1×egg-herbie
Rules
14 688×lower-fma.f64
14 688×lower-fma.f32
4 244×lower-*.f64
4 244×lower-*.f32
2 664×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02611883
17711823
220721733
372601733
081801684
Stop Event
1×iter limit
1×node limit
Counts
300 → 288
Calls
Call 1
Inputs
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
x
(+ x y)
(+ x y)
(+ x y)
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(/ -1 x)
(- (* -1 (/ y (pow x 2))) (/ 1 x))
(- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
1
(+ 1 (* -2 (/ y x)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(/ 1 y)
(/ (+ 1 (/ x y)) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) y)
-1
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(sqrt (fabs (+ x (* -1 y))))
(sqrt (fabs (+ x (* -1 y))))
(sqrt (fabs (+ x (* -1 y))))
(sqrt (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(sqrt (fabs (+ x (* -1 y))))
(sqrt (fabs (+ x (* -1 y))))
(sqrt (fabs (+ x (* -1 y))))
(sqrt (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(sqrt (/ 1 (fabs (/ -1 (+ x (* -1 y))))))
(sqrt (/ 1 (fabs (/ -1 (+ x (* -1 y))))))
(sqrt (/ 1 (fabs (/ -1 (+ x (* -1 y))))))
(sqrt (/ 1 (fabs (/ -1 (+ x (* -1 y))))))
(sqrt (fabs (/ -1 (+ x (* -1 y)))))
(sqrt (fabs (/ -1 (+ x (* -1 y)))))
(sqrt (fabs (/ -1 (+ x (* -1 y)))))
(sqrt (fabs (/ -1 (+ x (* -1 y)))))
(fabs (/ -1 (+ x (* -1 y))))
(fabs (/ -1 (+ x (* -1 y))))
(fabs (/ -1 (+ x (* -1 y))))
(fabs (/ -1 (+ x (* -1 y))))
(/ 1 y)
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) y))
-1
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(* -1 y)
(- x y)
(- x y)
(- x y)
(* -1 y)
(- x y)
(- x y)
(- x y)
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
y
(+ x y)
(+ x y)
(+ x y)
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(/ 1 y)
(+ (/ 1 y) (/ x (pow y 2)))
(+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))
-1
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(sqrt (fabs (- x y)))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt (fabs (/ 1 (- y x))))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(fabs (/ 1 (- y x)))
(/ -1 x)
(/ (- (* -1 (/ y x)) 1) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x)
(/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x)
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(sqrt (fabs (* -1 (+ y (* -1 x)))))
(sqrt (fabs (* -1 (+ y (* -1 x)))))
(sqrt (fabs (* -1 (+ y (* -1 x)))))
(sqrt (fabs (* -1 (+ y (* -1 x)))))
(fabs (* -1 (+ y (* -1 x))))
(fabs (* -1 (+ y (* -1 x))))
(fabs (* -1 (+ y (* -1 x))))
(fabs (* -1 (+ y (* -1 x))))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(sqrt (/ 1 (fabs (/ 1 (+ y (* -1 x))))))
(sqrt (/ 1 (fabs (/ 1 (+ y (* -1 x))))))
(sqrt (/ 1 (fabs (/ 1 (+ y (* -1 x))))))
(sqrt (/ 1 (fabs (/ 1 (+ y (* -1 x))))))
(sqrt (fabs (/ 1 (+ y (* -1 x)))))
(sqrt (fabs (/ 1 (+ y (* -1 x)))))
(sqrt (fabs (/ 1 (+ y (* -1 x)))))
(sqrt (fabs (/ 1 (+ y (* -1 x)))))
(fabs (/ 1 (+ y (* -1 x))))
(fabs (/ 1 (+ y (* -1 x))))
(fabs (/ 1 (+ y (* -1 x))))
(fabs (/ 1 (+ y (* -1 x))))
(/ -1 x)
(* -1 (/ (+ 1 (/ y x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x))
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
Outputs
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (/ 1 (- y x))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))))
(fabs (/ 1 (- y x)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)))
(fabs (/ 1 (- y x)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)))
(fabs (/ 1 (- y x)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)))
(fabs (/ 1 (- y x)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (* -1 (/ y (pow x 2))) (/ 1 x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x)
(- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y x) y y) x)) x)
(- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ y x)))
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
y
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (/ 1 (- y x))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))))
(sqrt (fabs (/ 1 (- y x))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))))
(sqrt (fabs (/ 1 (- y x))))
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rewrite297.0ms (5.9%)

Memory
3.1MiB live, 129.6MiB allocated
Rules
4 546×lower-*.f32
4 544×lower-*.f64
3 988×lower-/.f32
3 982×lower-/.f64
3 818×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01996
033101
110969
271962
0883662
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 1 127
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))))
(fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))
(+.f64 y x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 y x))
(/.f64 (-.f64 x y) (+.f64 y x))
Outputs
(*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 (-.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- x y) (neg.f64 y))))
(*.f64 #s(literal 1 binary64) #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- x y) (neg.f64 y))))
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 (neg.f64 y) y) y)
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))
(neg.f64 y)
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(*.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal -1 binary64) (+.f64 y x))) (-.f64 y x))
(*.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(*.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (-.f64 y x))
(*.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(*.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(*.f64 (*.f64 (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (-.f64 x y))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(*.f64 (neg.f64 (/.f64 (-.f64 y x) (fabs.f64 (+.f64 y x)))) (fabs.f64 (+.f64 y x)))
(*.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (/.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(*.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(*.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 x y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (+.f64 y x)))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 (+.f64 y x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 (+.f64 y x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 x y) (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x)) (/.f64 (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (neg.f64 y) x) (fma.f64 y y (*.f64 x (-.f64 x y))))))
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(*.f64 (neg.f64 (fabs.f64 (+.f64 y x))) (/.f64 (-.f64 y x) (fabs.f64 (+.f64 y x))))
(*.f64 (*.f64 (-.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (+.f64 y x) (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))
(*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 x y) (+.f64 y x)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x)))
(*.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (-.f64 y x))
(*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y (*.f64 x (-.f64 x y)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y (*.f64 x (-.f64 x y)))) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y))))
(*.f64 (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (-.f64 x y)) (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (fma.f64 (neg.f64 x) x (*.f64 y y)))
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))))
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 y x)) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (+.f64 y x)))
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 y x)) (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x (-.f64 x y))))))
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y)) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (-.f64 (neg.f64 y) x))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 (-.f64 x y) (+.f64 y x))))
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 #s(literal -1 binary64) (+.f64 y x)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))
(*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (*.f64 (-.f64 x y) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64)) (/.f64 (-.f64 x y) (+.f64 y x))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 y x) (-.f64 x y)) (fma.f64 y y (*.f64 x (-.f64 x y))))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (-.f64 (neg.f64 y) x) (/.f64 (-.f64 y x) (+.f64 y x)))
(*.f64 (/.f64 (-.f64 y x) (fabs.f64 (+.f64 y x))) (neg.f64 (fabs.f64 (+.f64 y x))))
(*.f64 (fabs.f64 (+.f64 y x)) (neg.f64 (/.f64 (-.f64 y x) (fabs.f64 (+.f64 y x)))))
(*.f64 #s(literal -1 binary64) (-.f64 y x))
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (*.f64 (-.f64 y x) (-.f64 x y)))
(*.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (+.f64 y x)))
(*.f64 (-.f64 y x) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(*.f64 (-.f64 y x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 (/.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x))
(*.f64 (-.f64 x y) (*.f64 (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (-.f64 x y) #s(literal 1 binary64))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))
(pow.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (-.f64 y x) (-.f64 x y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (/.f64 (*.f64 (-.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (fma.f64 x x (*.f64 y y)))
(/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (+.f64 y x)) #s(literal 3 binary64))) (+.f64 y x)) (+.f64 (pow.f64 (/.f64 x (+.f64 y x)) #s(literal 2 binary64)) (/.f64 y (+.f64 y x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (+.f64 y x)))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
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(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
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(+.f64 (pow.f64 (/.f64 x (+.f64 y x)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (/.f64 y (+.f64 y x)) #s(literal 2 binary64))))
(+.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 y (-.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
(+.f64 (/.f64 x (+.f64 y x)) (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (neg.f64 y) x))))
(+.f64 (/.f64 x (+.f64 y x)) (/.f64 y (-.f64 (neg.f64 y) x)))

eval445.0ms (8.8%)

Memory
-0.2MiB live, 220.9MiB allocated
Compiler

Compiled 31 943 to 4 710 computations (85.3% saved)

prune108.0ms (2.1%)

Memory
21.1MiB live, 110.9MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1 53431 537
Fresh000
Picked303
Done101
Total1 53831 541
Accuracy
100.0%
Counts
1 541 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
▶100.0%
(sqrt.f64 (-.f64 y x))
▶100.0%
(sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)))
Compiler

Compiled 24 to 18 computations (25% saved)

simplify324.0ms (6.4%)

Memory
5.6MiB live, 160.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y x)
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 y x))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
cost-diff0
(-.f64 y x)
cost-diff0
(sqrt.f64 (-.f64 y x))
cost-diff0
(-.f64 y x)
cost-diff0
(/.f64 (-.f64 y x) (+.f64 y x))
cost-diff0
(sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)))
cost-diff1408
(*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x))
Rules
17 674×lower-fma.f64
17 674×lower-fma.f32
3 022×lower-*.f32
3 020×lower-*.f64
1 702×lower--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01272
021104
138104
26268
311956
431156
5111456
6396556
0821356
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)))
(*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x))
(/.f64 (-.f64 y x) (+.f64 y x))
(-.f64 y x)
y
x
(+.f64 y x)
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
y
x
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 y x))
(-.f64 y x)
y
x
Outputs
(sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)))
(sqrt.f64 (-.f64 y x))
(*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x))
(-.f64 y x)
(/.f64 (-.f64 y x) (+.f64 y x))
(/.f64 (-.f64 y x) (+.f64 x y))
(-.f64 y x)
y
x
(+.f64 y x)
(+.f64 x y)
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
y
x
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 y x))
(-.f64 y x)
y
x

localize57.0ms (1.1%)

Memory
-14.1MiB live, 63.0MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 y x)
accuracy0.0078125
(/.f64 #s(literal 1 binary64) (-.f64 y x))
accuracy0.09375
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
accuracy0.27734375
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
accuracy0
(-.f64 y x)
accuracy0.0078125
(sqrt.f64 (-.f64 y x))
accuracy0
(+.f64 y x)
accuracy0.0078125
(/.f64 (-.f64 y x) (+.f64 y x))
accuracy0.0078125
(sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)))
accuracy0.01171875
(*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x))
Samples
49.0ms256×0valid
Compiler

Compiled 74 to 14 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 14.0ms (60.6% of total)
ival-sqrt: 5.0ms (21.6% of total)
ival-mult: 2.0ms (8.7% of total)
ival-sub: 1.0ms (4.3% of total)
ival-add: 1.0ms (4.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series41.0ms (0.8%)

Memory
-3.1MiB live, 35.2MiB allocated
Counts
9 → 216
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)) (patch (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x))) (patch (sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 y x) (+.f64 y x)) (patch (/.f64 (-.f64 y x) (+.f64 y x)) #<representation binary64>) () ())
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 y x)) (patch (sqrt.f64 (-.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 y x)) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
Outputs
#s(alt (* -1 x) (taylor 0 y) (#s(alt (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)) (patch (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)) (patch (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)) (patch (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)) (patch (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt -1)) (taylor 0 y) (#s(alt (sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x))) (patch (sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1))) (taylor 0 y) (#s(alt (sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x))) (patch (sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1))) (taylor 0 y) (#s(alt (sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x))) (patch (sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1))) (taylor 0 y) (#s(alt (sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x))) (patch (sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) (+.f64 y x)) (patch (/.f64 (-.f64 y x) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) 1) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) (+.f64 y x)) (patch (/.f64 (-.f64 y x) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x)))) 1) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) (+.f64 y x)) (patch (/.f64 (-.f64 y x) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ (* y (- (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) 1) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) (+.f64 y x)) (patch (/.f64 (-.f64 y x) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt -1)) (taylor 0 y) (#s(alt (sqrt.f64 (-.f64 y x)) (patch (sqrt.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1))) (taylor 0 y) (#s(alt (sqrt.f64 (-.f64 y x)) (patch (sqrt.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1))) (taylor 0 y) (#s(alt (sqrt.f64 (-.f64 y x)) (patch (sqrt.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1))) (taylor 0 y) (#s(alt (sqrt.f64 (-.f64 y x)) (patch (sqrt.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt -1)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (sqrt -1)) (taylor 0 y) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))) (taylor 0 y) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1/2 (* (sqrt x) (/ (* y (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3)))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))))) (* (sqrt (/ 1 x)) (sqrt -1))) (taylor 0 y) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* y (+ (* -1/2 (* (sqrt x) (/ (* y (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3))) (* x (pow (sqrt -1) 2)))) (/ 1 (pow x 4)))) (sqrt -1)))) (* -1/2 (* (sqrt x) (/ (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3))) (sqrt -1)))))))) (* (sqrt (/ 1 x)) (sqrt -1))) (taylor 0 y) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ y (pow x 2))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)) (patch (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)) (patch (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)) (patch (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)) (patch (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor inf y) (#s(alt (sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x))) (patch (sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3))))))) (taylor inf y) (#s(alt (sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x))) (patch (sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))) (taylor inf y) (#s(alt (sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x))) (patch (sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))))))) (taylor inf y) (#s(alt (sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x))) (patch (sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (-.f64 y x) (+.f64 y x)) (patch (/.f64 (-.f64 y x) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ x y))) (/ x y)) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) (+.f64 y x)) (patch (/.f64 (-.f64 y x) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))))) (/ x y)) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) (+.f64 y x)) (patch (/.f64 (-.f64 y x) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3)))) (+ (/ x y) (/ (* x (- (* -1 x) x)) (pow y 2)))) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) (+.f64 y x)) (patch (/.f64 (-.f64 y x) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor inf y) (#s(alt (sqrt.f64 (-.f64 y x)) (patch (sqrt.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3))))))) (taylor inf y) (#s(alt (sqrt.f64 (-.f64 y x)) (patch (sqrt.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))) (taylor inf y) (#s(alt (sqrt.f64 (-.f64 y x)) (patch (sqrt.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
26.0ms
x
@inf
((* (/ (- y x) (+ y x)) (+ y x)) (sqrt (* (/ (- y x) (+ y x)) (+ y x))) (/ (- y x) (+ y x)) (- y x) (sqrt (- y x)) (/ 1 (sqrt (/ 1 (- y x)))) (sqrt (/ 1 (- y x))) (/ 1 (- y x)) (+ y x))
3.0ms
y
@-inf
((* (/ (- y x) (+ y x)) (+ y x)) (sqrt (* (/ (- y x) (+ y x)) (+ y x))) (/ (- y x) (+ y x)) (- y x) (sqrt (- y x)) (/ 1 (sqrt (/ 1 (- y x)))) (sqrt (/ 1 (- y x))) (/ 1 (- y x)) (+ y x))
2.0ms
x
@-inf
((* (/ (- y x) (+ y x)) (+ y x)) (sqrt (* (/ (- y x) (+ y x)) (+ y x))) (/ (- y x) (+ y x)) (- y x) (sqrt (- y x)) (/ 1 (sqrt (/ 1 (- y x)))) (sqrt (/ 1 (- y x))) (/ 1 (- y x)) (+ y x))
2.0ms
y
@0
((* (/ (- y x) (+ y x)) (+ y x)) (sqrt (* (/ (- y x) (+ y x)) (+ y x))) (/ (- y x) (+ y x)) (- y x) (sqrt (- y x)) (/ 1 (sqrt (/ 1 (- y x)))) (sqrt (/ 1 (- y x))) (/ 1 (- y x)) (+ y x))
2.0ms
y
@inf
((* (/ (- y x) (+ y x)) (+ y x)) (sqrt (* (/ (- y x) (+ y x)) (+ y x))) (/ (- y x) (+ y x)) (- y x) (sqrt (- y x)) (/ 1 (sqrt (/ 1 (- y x)))) (sqrt (/ 1 (- y x))) (/ 1 (- y x)) (+ y x))

simplify154.0ms (3%)

Memory
14.4MiB live, 284.6MiB allocated
Algorithm
1×egg-herbie
Rules
8 830×lower-fma.f64
8 830×lower-fma.f32
5 868×lower-*.f64
5 868×lower-*.f32
2 522×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04973681
115803430
252643369
080933170
Stop Event
1×iter limit
1×node limit
Counts
216 → 204
Calls
Call 1
Inputs
(* -1 x)
(- y x)
(- y x)
(- y x)
(* (sqrt x) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
-1
(- (* 2 (/ y x)) 1)
(- (* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x)))) 1)
(- (* y (+ (* y (- (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) 1)
(* -1 x)
(- y x)
(- y x)
(- y x)
(* (sqrt x) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(* (sqrt x) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(* (sqrt (/ 1 x)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))
(+ (* y (+ (* -1/2 (* (sqrt x) (/ (* y (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3)))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))))) (* (sqrt (/ 1 x)) (sqrt -1)))
(+ (* y (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* y (+ (* -1/2 (* (sqrt x) (/ (* y (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3))) (* x (pow (sqrt -1) 2)))) (/ 1 (pow x 4)))) (sqrt -1)))) (* -1/2 (* (sqrt x) (/ (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3))) (sqrt -1)))))))) (* (sqrt (/ 1 x)) (sqrt -1)))
(/ -1 x)
(- (* -1 (/ y (pow x 2))) (/ 1 x))
(- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(sqrt y)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
1
(- (+ 1 (* -1 (/ x y))) (/ x y))
(- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))))) (/ x y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3)))) (+ (/ x y) (/ (* x (- (* -1 x) x)) (pow y 2))))
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(sqrt y)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(sqrt y)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(sqrt (/ 1 y))
(+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))
(+ (sqrt (/ 1 y)) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))
(+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ (* -1 (pow x 3)) (* 1/4 (* (pow x 2) y))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(/ 1 y)
(/ (+ 1 (/ x y)) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
1
(- (+ 1 (* -1 (/ x y))) (/ x y))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) x)) (/ (* x (- (* -1 x) x)) y)) y)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) x)) (* -1 (/ (+ (* -1 (* x (- (* -1 x) x))) (/ (* (pow x 2) (- (* -1 x) x)) y)) y))) y)))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* -1 (sqrt y))
(* -1 (* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))
(* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
(* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(+ (* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (+ (* -1/2 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 y)) (* (pow (sqrt -1) 2) (+ (* -1/4 (* (pow x 2) y)) (pow x 3))))) (* 1/2 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt y)))) (pow y 3))) (+ (* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
(/ 1 y)
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) y))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
1
(+ 1 (* -2 (/ x y)))
(+ 1 (* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))))
(+ 1 (* x (- (* x (+ (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(sqrt (/ 1 y))
(+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))
(+ (sqrt (/ 1 y)) (* x (+ (* 3/8 (* x (sqrt (/ 1 (pow y 5))))) (* 1/2 (sqrt (/ 1 (pow y 3)))))))
(+ (sqrt (/ 1 y)) (* x (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* x (+ (* 5/16 (* x (sqrt (/ 1 (pow y 7))))) (* 3/8 (sqrt (/ 1 (pow y 5)))))))))
(/ 1 y)
(+ (/ 1 y) (/ x (pow y 2)))
(+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))
y
(+ x y)
(+ x y)
(+ x y)
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
-1
(- (/ y x) (+ 1 (* -1 (/ y x))))
(- (+ (* -1 (/ (* y (- y (* -1 y))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ y x))))
(- (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3))) (+ 1 (+ (* -1 (/ y x)) (/ (* y (- y (* -1 y))) (pow x 2)))))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* (sqrt (/ 1 x)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/4 (/ (* x (pow y 2)) (pow (sqrt -1) 2))) (pow y 3)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(/ -1 x)
(/ (- (* -1 (/ y x)) 1) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x)
(/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
-1
(- (* -1 (/ (- (* -1 y) y) x)) 1)
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) y)) x))) y) x)) 1)
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) y)) x)) (* -1 (* y (- (* -1 y) y)))) x))) y) x)) 1)
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* (sqrt (/ 1 x)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt x) (* (pow y 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -1/4 (* x (pow y 2))) (pow y 3)))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(/ -1 x)
(* -1 (/ (+ 1 (/ y x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
Outputs
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 y (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) y (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 y (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/4 (/ (* x (pow y 2)) (pow (sqrt -1) 2))) (pow y 3)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 y (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) #s(literal -1 binary64)) #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -1 (/ y x)) 1) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x)) x)
(/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x)
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) x)
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 x))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 y) y) x)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) y)) x))) y) x)) 1)
(fma.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) y #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) y)) x)) (* -1 (* y (- (* -1 y) y)))) x))) y) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 y (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) y))) x) y) y) x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 x))
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 x))
(* (sqrt (/ 1 x)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt x) (* (pow y 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -1/4 (* x (pow y 2))) (pow y 3)))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 #s(literal -1/4 binary64) x y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) y) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ y x)) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) x) y) x) #s(literal 1 binary64)) (neg.f64 x))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)

rewrite230.0ms (4.6%)

Memory
14.0MiB live, 494.8MiB allocated
Rules
5 092×lower-*.f32
5 090×lower-*.f64
4 192×lower-/.f32
4 186×lower-/.f64
4 010×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01259
02179
18438
261238
0878038
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
9 → 1 576
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x))
(sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)))
(/.f64 (-.f64 y x) (+.f64 y x))
(-.f64 y x)
(sqrt.f64 (-.f64 y x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 y x))
(+.f64 y x)
Outputs
(*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 y x))
(*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (-.f64 y x))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 y x) (*.f64 (/.f64 (-.f64 y x) (+.f64 x y)) (-.f64 y x)))) (*.f64 (/.f64 (-.f64 y x) (+.f64 x y)) (-.f64 y x)))
(*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 x y)) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (+.f64 x y)) (-.f64 y x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 x y)) (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x (+.f64 x y)) (-.f64 y x)) (-.f64 (*.f64 (/.f64 x (+.f64 x y)) (-.f64 y x)) (*.f64 (/.f64 y (+.f64 x y)) (-.f64 y x))))))
(*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))
(*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (+.f64 x y)))) (*.f64 (-.f64 x y) (+.f64 x y)))
(*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y))) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y))) (*.f64 (neg.f64 (+.f64 x y)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (-.f64 x y) x)))
(*.f64 (/.f64 (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (-.f64 y x)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 x y) x) (-.f64 (*.f64 (-.f64 x y) x) (*.f64 y y)))))
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (+.f64 x y)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 x y))) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 y y (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (+.f64 x y)) (*.f64 (+.f64 x y) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 y x)))) (*.f64 (+.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (+.f64 x y)) (*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 y x)) (+.f64 x y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
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(fma.f64 (*.f64 y (/.f64 y (+.f64 x y))) (/.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 (*.f64 (/.f64 x (-.f64 y x)) x)))
(fma.f64 (*.f64 (/.f64 x (+.f64 x y)) (-.f64 y x)) (/.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (*.f64 (/.f64 y (+.f64 x y)) (-.f64 y x)) (/.f64 (+.f64 x y) (-.f64 y x))))
(fma.f64 (*.f64 (/.f64 y (+.f64 x y)) (-.f64 y x)) (/.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (*.f64 (/.f64 x (+.f64 x y)) (-.f64 y x)) (/.f64 (+.f64 x y) (-.f64 y x))))
(fma.f64 (neg.f64 x) (/.f64 (+.f64 x y) (-.f64 y x)) (*.f64 y (/.f64 (+.f64 x y) (-.f64 y x))))
(fma.f64 (/.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (/.f64 x (+.f64 x y)) (-.f64 y x)) (*.f64 (/.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (/.f64 y (+.f64 x y)) (-.f64 y x))))
(fma.f64 (/.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (/.f64 y (+.f64 x y)) (-.f64 y x)) (*.f64 (/.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (/.f64 x (+.f64 x y)) (-.f64 y x))))
(fma.f64 (/.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 x) (*.f64 (/.f64 (+.f64 x y) (-.f64 y x)) y))
(fma.f64 (/.f64 (+.f64 x y) (-.f64 y x)) y (*.f64 (/.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 x)))
(fma.f64 (*.f64 (+.f64 x y) x) (*.f64 (/.f64 (+.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (*.f64 y y) (*.f64 (/.f64 (+.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 1 binary64))))
(fma.f64 (*.f64 y y) (*.f64 (/.f64 (+.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x y) x) (*.f64 (/.f64 (+.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 1 binary64))))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (*.f64 (/.f64 x (-.f64 y x)) x)))
(fma.f64 (/.f64 y (+.f64 x y)) (/.f64 y (/.f64 (-.f64 y x) (+.f64 x y))) (neg.f64 (*.f64 (/.f64 x (-.f64 y x)) x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) y)
(fma.f64 #s(literal 1 binary64) x (neg.f64 (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 x #s(literal 1 binary64) (neg.f64 (neg.f64 y)))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 (/.f64 x (-.f64 y x)) x)))
(fma.f64 y (/.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (neg.f64 x) (/.f64 (+.f64 x y) (-.f64 y x))))
(fma.f64 y #s(literal 1 binary64) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(-.f64 (*.f64 (/.f64 y (-.f64 y x)) y) (*.f64 (/.f64 x (-.f64 y x)) x))
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x y)))
(-.f64 y (neg.f64 x))
(+.f64 (-.f64 y #s(literal 0 binary64)) x)
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 1 binary64))) (*.f64 (*.f64 x y) (*.f64 (/.f64 (+.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (+.f64 x y) x) (*.f64 (/.f64 (+.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 1 binary64))) (*.f64 (*.f64 y y) (*.f64 (/.f64 (+.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 y y) (*.f64 (/.f64 (+.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x y) x) (*.f64 (/.f64 (+.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x y)) (-.f64 y x)) (/.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (*.f64 (/.f64 y (+.f64 x y)) (-.f64 y x)) (/.f64 (+.f64 x y) (-.f64 y x))))
(+.f64 (*.f64 (*.f64 (/.f64 y (+.f64 x y)) (-.f64 y x)) (/.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (*.f64 (/.f64 x (+.f64 x y)) (-.f64 y x)) (/.f64 (+.f64 x y) (-.f64 y x))))
(+.f64 (*.f64 (neg.f64 x) (/.f64 (+.f64 x y) (-.f64 y x))) (*.f64 y (/.f64 (+.f64 x y) (-.f64 y x))))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x y)))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (+.f64 x y) x)) (*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 y y)))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 y y)) (*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (+.f64 x y) x)))
(+.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (/.f64 x (+.f64 x y)) (-.f64 y x))) (*.f64 (/.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (/.f64 y (+.f64 x y)) (-.f64 y x))))
(+.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (/.f64 y (+.f64 x y)) (-.f64 y x))) (*.f64 (/.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (/.f64 x (+.f64 x y)) (-.f64 y x))))
(+.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 x)) (*.f64 (/.f64 (+.f64 x y) (-.f64 y x)) y))
(+.f64 (neg.f64 (neg.f64 y)) x)
(+.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 y x)) y) (*.f64 (/.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 x)))
(+.f64 (*.f64 y (/.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (neg.f64 x) (/.f64 (+.f64 x y) (-.f64 y x))))
(+.f64 (*.f64 (/.f64 y (-.f64 y x)) y) (neg.f64 (*.f64 (/.f64 x (-.f64 y x)) x)))
(+.f64 x (neg.f64 (neg.f64 y)))
(+.f64 x y)
(+.f64 y x)

eval587.0ms (11.6%)

Memory
-13.0MiB live, 1 017.9MiB allocated
Compiler

Compiled 73 213 to 6 792 computations (90.7% saved)

prune48.0ms (1%)

Memory
-0.6MiB live, 196.2MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2 72722 729
Fresh000
Picked033
Done000
Total2 72752 732
Accuracy
100.0%
Counts
2 732 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
✓100.0%
(sqrt.f64 (-.f64 y x))
✓100.0%
(sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)))
▶51.2%
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
▶50.7%
#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))
Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify8.0ms (0.2%)

Memory
21.6MiB live, 21.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- y x) (neg.f64 x))
cost-diff0
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
cost-diff0
(sqrt.f64 y)
cost-diff0
#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))
Rules
96×lower-fma.f64
96×lower-fma.f32
64×lower-*.f64
64×lower-*.f32
40×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01230
01530
12130
22630
33330
44230
56130
69130
711930
816630
919930
1022130
022130
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))
(sqrt.f64 y)
y
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
x
Outputs
#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))
(sqrt.f64 y)
y
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
x

localize28.0ms (0.5%)

Memory
-9.7MiB live, 66.6MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 x)
accuracy0.0078125
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
accuracy31.299018777814176
#s(approx (- y x) (neg.f64 x))
accuracy0
(sqrt.f64 y)
accuracy14.525709021680173
#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))
Samples
17.0ms188×0valid
5.0ms68×0invalid
Compiler

Compiled 23 to 12 computations (47.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 5.0ms (41.1% of total)
ival-sqrt: 5.0ms (41.1% of total)
ival-sub: 2.0ms (16.4% of total)
ival-neg: 1.0ms (8.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#s(alt #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) (patch #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) #<representation binary64>) () ())
#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (patch (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
Outputs
#s(alt (* (sqrt x) (sqrt -1)) (taylor 0 y) (#s(alt #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) (patch #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1))) (taylor 0 y) (#s(alt #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) (patch #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1))) (taylor 0 y) (#s(alt #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) (patch #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1))) (taylor 0 y) (#s(alt #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) (patch #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor 0 y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor 0 y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor 0 y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor 0 y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt -1)) (taylor 0 y) (#s(alt (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (patch (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1))) (taylor 0 y) (#s(alt (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (patch (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1))) (taylor 0 y) (#s(alt (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (patch (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1))) (taylor 0 y) (#s(alt (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (patch (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor inf y) (#s(alt #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) (patch #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3))))))) (taylor inf y) (#s(alt #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) (patch #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))) (taylor inf y) (#s(alt #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) (patch #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))))))) (taylor inf y) (#s(alt #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) (patch #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor inf y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor inf y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor inf y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor inf y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor inf y) (#s(alt (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (patch (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3))))))) (taylor inf y) (#s(alt (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (patch (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))) (taylor inf y) (#s(alt (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (patch (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))))))) (taylor inf y) (#s(alt (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (patch (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (sqrt y)) (taylor -inf y) (#s(alt #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) (patch #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))) (taylor -inf y) (#s(alt #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) (patch #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))) (taylor -inf y) (#s(alt #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) (patch #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))) (taylor -inf y) (#s(alt #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) (patch #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt y) (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt y) (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt y) (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt y) (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt y) (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (patch (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) (taylor -inf y) (#s(alt (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (patch (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) (taylor -inf y) (#s(alt (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (patch (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) (taylor -inf y) (#s(alt (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (patch (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor 0 x) (#s(alt #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) (patch #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y))))) (taylor 0 x) (#s(alt #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) (patch #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3)))))))) (taylor 0 x) (#s(alt #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) (patch #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5)))))))))) (taylor 0 x) (#s(alt #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) (patch #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor 0 x) (#s(alt (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (patch (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y))))) (taylor 0 x) (#s(alt (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (patch (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3)))))))) (taylor 0 x) (#s(alt (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (patch (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5)))))))))) (taylor 0 x) (#s(alt (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (patch (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt -1)) (taylor inf x) (#s(alt #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) (patch #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) (taylor inf x) (#s(alt #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) (patch #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) (taylor inf x) (#s(alt #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) (patch #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) (taylor inf x) (#s(alt #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) (patch #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt -1)) (taylor inf x) (#s(alt (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (patch (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) (taylor inf x) (#s(alt (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (patch (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) (taylor inf x) (#s(alt (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (patch (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) (taylor inf x) (#s(alt (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (patch (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (sqrt -1))) (taylor -inf x) (#s(alt #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) (patch #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) (taylor -inf x) (#s(alt #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) (patch #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) (taylor -inf x) (#s(alt #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) (patch #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) (taylor -inf x) (#s(alt #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) (patch #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (patch (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) (taylor -inf x) (#s(alt (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (patch (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) (taylor -inf x) (#s(alt (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (patch (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) (taylor -inf x) (#s(alt (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (patch (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
((/ 1 (sqrt (/ 1 (- y x)))) (sqrt y) (sqrt (- y x)) (- y x) (neg x))
0.0ms
y
@inf
((/ 1 (sqrt (/ 1 (- y x)))) (sqrt y) (sqrt (- y x)) (- y x) (neg x))
0.0ms
y
@0
((/ 1 (sqrt (/ 1 (- y x)))) (sqrt y) (sqrt (- y x)) (- y x) (neg x))
0.0ms
x
@inf
((/ 1 (sqrt (/ 1 (- y x)))) (sqrt y) (sqrt (- y x)) (- y x) (neg x))
0.0ms
x
@-inf
((/ 1 (sqrt (/ 1 (- y x)))) (sqrt y) (sqrt (- y x)) (- y x) (neg x))

simplify179.0ms (3.5%)

Memory
-22.5MiB live, 266.3MiB allocated
Algorithm
1×egg-herbie
Rules
19 234×lower-fma.f64
19 234×lower-fma.f32
5 466×lower-*.f64
5 466×lower-*.f32
3 680×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01891395
15731344
220831301
346421280
082391213
Stop Event
1×iter limit
1×node limit
Counts
96 → 93
Calls
Call 1
Inputs
(* (sqrt x) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt y)
(* (sqrt x) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(* -1 x)
(- y x)
(- y x)
(- y x)
(sqrt y)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt y)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (sqrt y))
(* -1 (* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))
(* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
(* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
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(*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64)) (*.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y)))) (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

rewrite105.0ms (2.1%)

Memory
9.2MiB live, 89.9MiB allocated
Rules
1 388×lower-*.f64
1 388×lower-*.f32
1 120×lower-/.f64
1 120×lower-/.f32
1 102×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01228
01528
15424
229324
0257624
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
5 → 37
Calls
Call 1
Inputs
#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))
(sqrt.f64 y)
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
Outputs
#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64))
(pow.f64 y #s(literal 1/2 binary64))
(sqrt.f64 y)
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (- y x) (neg.f64 x)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(approx (- y x) (neg.f64 x)) #s(approx (- y x) (neg.f64 x))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))
#s(approx (- y x) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (neg.f64 x) x) x)
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 x x))
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(neg.f64 x)
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 0 binary64))

eval15.0ms (0.3%)

Memory
-12.3MiB live, 24.4MiB allocated
Compiler

Compiled 1 644 to 280 computations (83% saved)

prune7.0ms (0.1%)

Memory
16.4MiB live, 16.4MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1300130
Fresh000
Picked022
Done033
Total1305135
Accuracy
100.0%
Counts
135 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
✓100.0%
(sqrt.f64 (-.f64 y x))
✓100.0%
(sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)))
✓51.2%
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
✓50.7%
#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))
Compiler

Compiled 94 to 58 computations (38.3% saved)

regimes18.0ms (0.4%)

Memory
-6.5MiB live, 32.0MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
(sqrt.f64 (-.f64 y x))
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
Outputs
(sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)))
Calls

5 calls:

5.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))
3.0ms
(-.f64 x y)
3.0ms
y
3.0ms
x
3.0ms
(fabs.f64 (-.f64 x y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(sqrt.f64 (fabs.f64 (-.f64 x y)))
100.0%1(fabs.f64 (-.f64 x y))
100.0%1(-.f64 x y)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes15.0ms (0.3%)

Memory
-12.3MiB live, 26.4MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
(sqrt.f64 (-.f64 y x))
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
Outputs
(sqrt.f64 (-.f64 y x))
Calls

5 calls:

5.0ms
x
2.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))
2.0ms
(-.f64 x y)
2.0ms
(fabs.f64 (-.f64 x y))
2.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(sqrt.f64 (fabs.f64 (-.f64 x y)))
100.0%1(fabs.f64 (-.f64 x y))
100.0%1(-.f64 x y)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes9.0ms (0.2%)

Memory
20.8MiB live, 20.8MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
Outputs
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))
Calls

5 calls:

2.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))
2.0ms
(-.f64 x y)
2.0ms
(fabs.f64 (-.f64 x y))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
82.8%2x
89.8%2y
59.4%5(sqrt.f64 (fabs.f64 (-.f64 x y)))
59.4%5(fabs.f64 (-.f64 x y))
59.4%5(-.f64 x y)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes7.0ms (0.1%)

Memory
17.0MiB live, 17.0MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))
Outputs
#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))
Calls

5 calls:

1.0ms
x
1.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms
y
1.0ms
(-.f64 x y)
1.0ms
(fabs.f64 (-.f64 x y))
Results
AccuracySegmentsBranch
50.7%1(-.f64 x y)
50.7%1(sqrt.f64 (fabs.f64 (-.f64 x y)))
50.7%1(fabs.f64 (-.f64 x y))
50.7%1x
50.7%1y
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch14.0ms (0.3%)

Memory
-27.4MiB live, 19.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
7.297827508729266e-77
7.564561737262075e-75
Samples
9.0ms112×0valid
Compiler

Compiled 57 to 87 computations (-52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sqrt: 3.0ms (66.6% of total)
ival-sub: 1.0ms (22.2% of total)
ival-fabs: 1.0ms (22.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify54.0ms (1.1%)

Memory
-5.6MiB live, 31.7MiB allocated
Algorithm
1×egg-herbie
Rules
6×+-commutative-binary64-+.f64
4×*-commutative-binary64-*.f64
4×sub-neg-binary64-neg.f64-+.f64--.f64
2×1-exp-binary32-exp.f32
2×1-exp-binary64-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02149
13049
23349
33449
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)))
(sqrt.f64 (-.f64 y x))
(if (<=.f64 y #s(literal 827545865385885/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)))
#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))
Outputs
(sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)))
(sqrt.f64 (*.f64 (/.f64 (-.f64 y x) (+.f64 x y)) (+.f64 x y)))
(sqrt.f64 (-.f64 y x))
(if (<=.f64 y #s(literal 827545865385885/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y)))
#s(approx (/ 1 (sqrt (/ 1 (- y x)))) (sqrt.f64 y))

soundness522.0ms (10.3%)

Memory
10.2MiB live, 450.4MiB allocated
Rules
8 830×lower-fma.f64
8 830×lower-fma.f32
5 868×lower-*.f64
5 868×lower-*.f32
4 642×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01996
033101
110969
271962
0883662
04973681
115803430
252643369
080933170
0512
0812
12912
218112
3167512
0837812
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 174 to 110 computations (36.8% saved)

preprocess38.0ms (0.7%)

Memory
19.8MiB live, 97.2MiB allocated
Compiler

Compiled 118 to 70 computations (40.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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