Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E

Time bar (total: 5.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated

analyze9.0ms (0.2%)

Memory
-27.5MiB live, 11.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
66.7%50%25%0.1%0%25%0%4
66.7%50%25%0.1%0%25%0%5
80%50%12.5%0.1%0%37.5%0%6
80%50%12.5%0.1%0%37.5%0%7
88.9%50%6.2%0.1%0%43.7%0%8
88.9%50%6.2%0.1%0%43.7%0%9
94.1%50%3.1%0.1%0%46.8%0%10
94.1%50%3.1%0.1%0%46.8%0%11
97%50%1.6%0.1%0%48.4%0%12
Compiler

Compiled 10 to 9 computations (10% saved)

sample755.0ms (14.7%)

Memory
48.4MiB live, 782.3MiB allocated
Samples
512.0ms8 254×0valid
16.0ms294×0invalid
0.0ms1×2valid
0.0ms1×1valid
Precisions
Click to see histograms. Total time spent on operations: 217.0ms
ival-sqrt: 65.0ms (30% of total)
ival-mult: 52.0ms (24% of total)
ival-sub: 48.0ms (22.1% of total)
ival-add: 38.0ms (17.5% of total)
ival-true: 6.0ms (2.8% of total)
exact: 5.0ms (2.3% of total)
ival-assert: 3.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain77.0ms (1.5%)

Memory
-17.5MiB live, 121.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
00-0-(sqrt.f64 x)
00-0-y
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-(*.f64 y (sqrt.f64 x))
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
25.0ms510×0valid
0.0ms2×2valid
Compiler

Compiled 52 to 25 computations (51.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sqrt: 4.0ms (31.7% of total)
ival-mult: 3.0ms (23.8% of total)
ival-sub: 3.0ms (23.8% of total)
ival-add: 2.0ms (15.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess44.0ms (0.9%)

Memory
-0.3MiB live, 37.1MiB allocated
Algorithm
1×egg-herbie
Rules
336×lower-fma.f64
336×lower-fma.f32
212×sub-neg
180×cancel-sign-sub-inv
178×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01948
15443
216042
343342
487842
5122242
6133742
7135742
078
0118
1198
2388
3658
41298
52478
63898
74378
84608
04607
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify14.0ms (0.3%)

Memory
15.4MiB live, 15.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 y (sqrt.f64 x))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff128
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Rules
336×lower-fma.f64
336×lower-fma.f32
144×lower-*.f32
142×lower-*.f64
112×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01120
11920
23820
36520
412920
524720
638920
743720
846020
046019
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
y
(sqrt.f64 x)

localize31.0ms (0.6%)

Memory
2.1MiB live, 38.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0
(sqrt.f64 x)
accuracy0.0078125
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
accuracy0.20703125
(*.f64 y (sqrt.f64 x))
Samples
25.0ms255×0valid
0.0ms1×2valid
Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sub: 12.0ms (62% of total)
ival-sqrt: 4.0ms (20.7% of total)
ival-mult: 2.0ms (10.3% of total)
ival-add: 1.0ms (5.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
-23.7MiB live, 12.3MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#s(alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation:binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())
#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())
Outputs
#s(alt (- 1 x) (taylor 0 y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor -inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) (taylor -inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) (taylor -inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) (taylor -inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor -inf y) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor -inf y) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor -inf y) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor -inf y) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (sqrt x) y)) (taylor 0 x) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 x) (* (sqrt x) y))) (taylor 0 x) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 x) (* (sqrt x) y))) (taylor 0 x) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 x) (* (sqrt x) y))) (taylor 0 x) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 x) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 x) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 x) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 x) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ())
#s(alt (* x (- (* (sqrt (/ 1 x)) y) 1)) (taylor inf x) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) (taylor inf x) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) (taylor inf x) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) (taylor inf x) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf x) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf x) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf x) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf x) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@inf
((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x))
1.0ms
x
@-inf
((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x))
1.0ms
x
@0
((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x))
1.0ms
y
@-inf
((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x))
1.0ms
y
@0
((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x))

simplify152.0ms (2.9%)

Memory
11.5MiB live, 239.2MiB allocated
Algorithm
1×egg-herbie
Rules
7 542×lower-fma.f64
7 542×lower-fma.f32
2 696×lower-*.f64
2 696×lower-*.f32
1 866×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052369
1141369
2438357
31298357
44642357
57358357
08082330
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 y (sqrt.f64 x))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 y (sqrt.f64 x))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 y (sqrt.f64 x))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 y (sqrt.f64 x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

rewrite441.0ms (8.6%)

Memory
23.8MiB live, 215.6MiB allocated
Rules
6 324×lower-fma.f64
6 324×lower-fma.f32
4 236×lower-*.f32
4 234×lower-*.f64
2 084×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
01117
14617
235717
3531517
0897416
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 252
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 y (sqrt.f64 x))
(sqrt.f64 x)
Outputs
(*.f64 (/.f64 (fma.f64 (*.f64 y x) (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))) (fma.f64 y (fma.f64 y x (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (*.f64 y (-.f64 (*.f64 y x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y (-.f64 (*.f64 y x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 y (-.f64 (*.f64 y x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) (-.f64 (*.f64 y (-.f64 (*.f64 y x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 y x) (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (fma.f64 (*.f64 y x) (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 (*.f64 y x) (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 y x) (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))))
(*.f64 (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (*.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (pow.f64 (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
(*.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1 binary64))) (hypot.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y x) y) (hypot.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))))
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(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))
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(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64)))
(exp.f64 (log1p.f64 x))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (exp.f64 (log.f64 y)) (sqrt.f64 x))
(*.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (sqrt.f64 x) (exp.f64 (log.f64 y)))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 x) y)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))

eval63.0ms (1.2%)

Memory
-16.7MiB live, 82.5MiB allocated
Compiler

Compiled 5 927 to 747 computations (87.4% saved)

prune12.0ms (0.2%)

Memory
-2.9MiB live, 35.0MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New31410324
Fresh000
Picked101
Done000
Total31510325
Accuracy
100.0%
Counts
325 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.1%
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (neg.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))
▶99.9%
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
38.6%
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))
▶99.7%
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
99.8%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
▶93.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
▶67.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
▶60.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
65.2%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
41.0%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 246 to 178 computations (27.6% saved)

simplify51.0ms (1%)

Memory
-6.9MiB live, 32.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
cost-diff0
(pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
cost-diff7168
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
cost-diff0
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
Rules
944×lower-fma.f32
936×lower-fma.f64
432×lower-*.f64
432×lower-*.f32
248×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021139
034132
154132
281132
3163132
4294132
5514132
6938132
71228132
81333132
91374132
101402132
111421132
121422132
01422132
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
x
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
y
(sqrt.f64 x)
x
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
x
y
(-.f64 #s(literal 1 binary64) x)
#s(literal -1 binary64)
Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
x
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
y
(sqrt.f64 x)
x
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
x
y
(-.f64 #s(literal 1 binary64) x)
#s(literal -1 binary64)

localize54.0ms (1%)

Memory
25.4MiB live, 63.6MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(sqrt.f64 x)
accuracy0.06640625
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
accuracy0.125
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
accuracy0.631824423107724
(pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
accuracy0
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
accuracy0.12109375
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
accuracy0.12109375
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy4.102479783077313
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
accuracy0
(sqrt.f64 x)
accuracy0.08984375
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
accuracy20.68779084512636
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy25.175638856261067
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0
(sqrt.f64 x)
accuracy0.06640625
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
Samples
39.0ms255×0valid
0.0ms1×2valid
Compiler

Compiled 128 to 21 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 6.0ms (25.4% of total)
ival-add: 5.0ms (21.2% of total)
ival-pow: 4.0ms (16.9% of total)
ival-div: 3.0ms (12.7% of total)
ival-sqrt: 3.0ms (12.7% of total)
ival-sub: 1.0ms (4.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series23.0ms (0.4%)

Memory
-18.6MiB live, 26.3MiB allocated
Counts
12 → 252
Calls
Call 1
Inputs
#s(alt (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())
#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())
#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (patch (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) #<representation:binary64>) () ())
#s(alt (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #<representation:binary64>) () ())
Outputs
#s(alt (- 1 x) (taylor 0 y) (#s(alt (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ())
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#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ())
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#s(alt (/ (- (/ 1 (- (* (sqrt (/ 1 x)) y) 1)) (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2)))) x) (taylor inf x) (#s(alt (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 (* (pow x 2) (pow (- (* (sqrt (/ 1 x)) y) 1) 3))) (/ 1 (- (* (sqrt (/ 1 x)) y) 1))) (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2)))) x) (taylor inf x) (#s(alt (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 (* (pow x 2) (pow (- (* (sqrt (/ 1 x)) y) 1) 3))) (/ 1 (- (* (sqrt (/ 1 x)) y) 1))) (+ (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2))) (/ 1 (* (pow x 3) (pow (- (* (sqrt (/ 1 x)) y) 1) 4))))) x) (taylor inf x) (#s(alt (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (patch (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (patch (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (patch (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (patch (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) x)) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
7.0ms
y
@0
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1))
3.0ms
x
@-inf
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1))
1.0ms
y
@-inf
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1))
1.0ms
y
@inf
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1))
1.0ms
x
@0
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1))

simplify185.0ms (3.6%)

Memory
0.5MiB live, 191.6MiB allocated
Algorithm
1×egg-herbie
Rules
10 200×lower-fma.f64
10 200×lower-fma.f32
4 678×lower-*.f64
4 678×lower-*.f32
3 222×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02312574
16772389
219912330
375352330
090692107
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
1
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(+ 1 (* -1 x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
-1
(- (* (sqrt (/ 1 x)) y) 1)
(- (* (sqrt (/ 1 x)) y) 1)
(- (* (sqrt (/ 1 x)) y) 1)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(/ 1 (- 1 x))
(+ (* -1 (* (sqrt x) (/ y (pow (- 1 x) 2)))) (/ 1 (- 1 x)))
(+ (* y (- (/ (* x y) (pow (- 1 x) 3)) (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (/ 1 (- 1 x)))
(+ (* y (- (* y (- (* -1 (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 4)))) (* -1 (/ x (pow (- 1 x) 3))))) (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (/ 1 (- 1 x)))
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))
(* (sqrt (/ 1 x)) y)
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt (/ 1 x)) (/ 1 y))
(/ (- (+ (sqrt (/ 1 x)) (/ 1 y)) (/ 1 (* x y))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) (pow y 2)))) (/ 1 y))) (/ 1 (* x y))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (/ 1 y) (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x (pow y 3))))) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) (pow y 2))) (/ 1 (* x y)))) y)
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))
(* (sqrt (/ 1 x)) y)
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt (/ 1 x)) (/ 1 y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- 1 (/ 1 x)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ 1 (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) y)))) (/ 1 x)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x y))) (* -1 (* (sqrt (/ 1 x)) (* (- 1 x) (- 1 (/ 1 x)))))) y))) (/ 1 x)) y))) y))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(/ 1 (+ 1 (* (sqrt x) y)))
(+ (/ 1 (+ 1 (* (sqrt x) y))) (/ x (pow (+ 1 (* (sqrt x) y)) 2)))
(+ (* x (+ (/ 1 (pow (+ 1 (* (sqrt x) y)) 2)) (/ x (pow (+ 1 (* (sqrt x) y)) 3)))) (/ 1 (+ 1 (* (sqrt x) y))))
(+ (* x (+ (* x (+ (/ 1 (pow (+ 1 (* (sqrt x) y)) 3)) (/ x (pow (+ 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (+ 1 (* (sqrt x) y)) 2)))) (/ 1 (+ 1 (* (sqrt x) y))))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* (sqrt x) y)
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(- (* (sqrt (/ 1 x)) y) 1)
(- (* (sqrt (/ 1 x)) y) 1)
(- (* (sqrt (/ 1 x)) y) 1)
(- (* (sqrt (/ 1 x)) y) 1)
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(/ 1 (* x (- (* (sqrt (/ 1 x)) y) 1)))
(/ (- (/ 1 (- (* (sqrt (/ 1 x)) y) 1)) (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2)))) x)
(/ (- (+ (/ 1 (* (pow x 2) (pow (- (* (sqrt (/ 1 x)) y) 1) 3))) (/ 1 (- (* (sqrt (/ 1 x)) y) 1))) (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2)))) x)
(/ (- (+ (/ 1 (* (pow x 2) (pow (- (* (sqrt (/ 1 x)) y) 1) 3))) (/ 1 (- (* (sqrt (/ 1 x)) y) 1))) (+ (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2))) (/ 1 (* (pow x 3) (pow (- (* (sqrt (/ 1 x)) y) 1) 4))))) x)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(/ -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x))
(* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) x)) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x))
Outputs
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
-1
#s(literal -1 binary64)
(- (* (sqrt (/ 1 x)) y) 1)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(- (* (sqrt (/ 1 x)) y) 1)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(- (* (sqrt (/ 1 x)) y) 1)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(/ 1 (- 1 x))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(+ (* -1 (* (sqrt x) (/ y (pow (- 1 x) 2)))) (/ 1 (- 1 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sqrt.f64 x)))
(+ (* y (- (/ (* x y) (pow (- 1 x) 3)) (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (/ 1 (- 1 x)))
(fma.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) x (/.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+ (* y (- (* y (- (* -1 (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 4)))) (* -1 (/ x (pow (- 1 x) 3))))) (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (/ 1 (- 1 x)))
(fma.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) y (/.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* y (+ (sqrt x) (/ 1 y)))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(* y (+ (sqrt x) (/ 1 y)))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(* y (+ (sqrt x) (/ 1 y)))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(* (sqrt (/ 1 x)) (/ 1 y))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(/ (- (+ (sqrt (/ 1 x)) (/ 1 y)) (/ 1 (* x y))) y)
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(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 y (sqrt.f64 x))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(*.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x)
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x #s(literal 1 binary64))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(/ -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)))
(* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) #s(literal 2 binary64))) x)) x)
(* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x))
(/.f64 (fma.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) x)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) x)) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 4 binary64)))) x)) x)) x)

rewrite217.0ms (4.2%)

Memory
6.1MiB live, 232.2MiB allocated
Rules
10 384×lower-fma.f32
10 376×lower-fma.f64
4 296×lower-*.f64
4 296×lower-*.f32
3 334×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021103
03496
115192
299492
0850992
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 675
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
(-.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x y) y))) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x y) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 x y) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x y) y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x y) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x y) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x y) y)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x y) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 x y) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) (*.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (-.f64 x (*.f64 y (sqrt.f64 x))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x y) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))))
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x y) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x y) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))))))
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x y) y)) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 (*.f64 x y) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 x y) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
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(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))) (pow.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 x y) y) (pow.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64))))
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x y) y)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x y) y)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 x))))
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x y) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x y) y)) #s(literal -1 binary64)) (-.f64 (neg.f64 x) (*.f64 y (sqrt.f64 x)))))
(+.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x y) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x y) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)) x))
(+.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x y) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 x))) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x y) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x)))
(+.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)))) (*.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)))))
(+.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 x y) y)) (*.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))))
(+.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))) (*.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 x y) y)))
(+.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x y) y)) #s(literal -1 binary64)) (*.f64 (-.f64 (neg.f64 x) (*.f64 y (sqrt.f64 x))) (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x y) y)) #s(literal -1 binary64))))

eval274.0ms (5.3%)

Memory
28.2MiB live, 379.5MiB allocated
Compiler

Compiled 25 801 to 2 280 computations (91.2% saved)

prune31.0ms (0.6%)

Memory
-16.7MiB live, 98.8MiB allocated
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1 26291 271
Fresh505
Picked325
Done000
Total1 270111 281
Accuracy
100.0%
Counts
1 281 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.5%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
50.2%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))))
▶40.9%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))
▶41.0%
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 y (sqrt.f64 x)))
▶93.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x)))
✓67.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
42.5%
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (fma.f64 (*.f64 x y) y #s(literal -1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))))
✓60.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
32.5%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
▶28.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶64.1%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
Compiler

Compiled 180 to 143 computations (20.6% saved)

simplify104.0ms (2%)

Memory
27.5MiB live, 73.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
cost-diff0
#s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))
cost-diff0
(*.f64 y x)
cost-diff0
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 y (sqrt.f64 x))
cost-diff0
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 y (sqrt.f64 x)))
cost-diff0
#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 y (sqrt.f64 x))
cost-diff0
(fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x))
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x)))
Rules
1 216×lower-fma.f32
1 212×lower-fma.f64
640×lower-*.f32
636×lower-*.f64
360×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031199
045199
170195
2106195
3186195
4320195
5607195
61223195
71700195
82001195
92103195
102169195
112189195
122193195
132197195
02197187
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x))
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 y x)
y
x
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))
#s(literal 1 binary64)
#s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
x
y
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x))
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 y (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
y
(sqrt.f64 x)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64))))
#s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (+ (* y (sqrt x)) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
y
x
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))
#s(literal 1 binary64)
#s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
x
y

localize131.0ms (2.6%)

Memory
9.5MiB live, 121.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.12109375
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy0.125
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))
accuracy0.19921875
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
accuracy37.71333576957077
#s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
accuracy0
#s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
accuracy0.12109375
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy4.042568950056926
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
accuracy20.68779084512636
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
accuracy0
(sqrt.f64 x)
accuracy0.20703125
(*.f64 y (sqrt.f64 x))
accuracy37.724304217599645
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 y (sqrt.f64 x)))
accuracy25.175638856261067
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy34.55981564991708
#s(approx (- 1 x) #s(literal 1 binary64))
accuracy0
(sqrt.f64 x)
accuracy0
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x)))
accuracy0.1796875
(/.f64 y (sqrt.f64 x))
accuracy4.102479783077313
(fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x))
Samples
114.0ms255×0valid
0.0ms1×2valid
Compiler

Compiled 139 to 24 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 9.0ms (29.2% of total)
ival-div: 6.0ms (19.4% of total)
ival-add: 5.0ms (16.2% of total)
ival-pow: 4.0ms (13% of total)
ival-sqrt: 3.0ms (9.7% of total)
ival-sub: 1.0ms (3.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series33.0ms (0.6%)

Memory
-42.2MiB live, 17.6MiB allocated
Counts
16 → 348
Calls
Call 1
Inputs
#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ())
#s(alt (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())
#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())
#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 y (sqrt.f64 x))) (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 y (sqrt.f64 x))) #<representation:binary64>) () ())
#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())
#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (patch #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))) #<representation:binary64>) () ())
#s(alt #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) (patch #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) #<representation:binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (patch (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())
Outputs
#s(alt (- 1 x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
5.0ms
y
@0
((+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (- 1 x)) (/ y (sqrt x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (* y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/ (sqrt (/ 1 x)) y) (sqrt (/ 1 x)))
4.0ms
x
@-inf
((+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (- 1 x)) (/ y (sqrt x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (* y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/ (sqrt (/ 1 x)) y) (sqrt (/ 1 x)))
2.0ms
y
@-inf
((+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (- 1 x)) (/ y (sqrt x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (* y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/ (sqrt (/ 1 x)) y) (sqrt (/ 1 x)))
1.0ms
x
@0
((+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (- 1 x)) (/ y (sqrt x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (* y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/ (sqrt (/ 1 x)) y) (sqrt (/ 1 x)))
1.0ms
x
@inf
((+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (- 1 x)) (/ y (sqrt x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (* y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/ (sqrt (/ 1 x)) y) (sqrt (/ 1 x)))

simplify219.0ms (4.3%)

Memory
25.6MiB live, 331.4MiB allocated
Algorithm
1×egg-herbie
Rules
9 824×lower-fma.f64
9 824×lower-fma.f32
4 538×lower-*.f64
4 538×lower-*.f32
3 122×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02233055
16502812
219912770
374172770
088972537
Stop Event
1×iter limit
1×node limit
Counts
348 → 348
Calls
Call 1
Inputs
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
1
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
1
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(* x y)
(* x y)
(* x y)
(* x y)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(/ 1 (- 1 x))
(+ (* -1 (* (sqrt x) (/ y (pow (- 1 x) 2)))) (/ 1 (- 1 x)))
(+ (* y (- (/ (* x y) (pow (- 1 x) 3)) (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (/ 1 (- 1 x)))
(+ (* y (- (* y (- (* -1 (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 4)))) (* -1 (/ x (pow (- 1 x) 3))))) (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (/ 1 (- 1 x)))
(* (sqrt (/ 1 x)) (/ 1 y))
(* (sqrt (/ 1 x)) (/ 1 y))
(* (sqrt (/ 1 x)) (/ 1 y))
(* (sqrt (/ 1 x)) (/ 1 y))
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* (sqrt x) y)
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt (/ 1 x)) (/ 1 y))
(/ (- (+ (sqrt (/ 1 x)) (/ 1 y)) (/ 1 (* x y))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) (pow y 2)))) (/ 1 y))) (/ 1 (* x y))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (/ 1 y) (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x (pow y 3))))) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) (pow y 2))) (/ 1 (* x y)))) y)
(* (sqrt (/ 1 x)) (/ 1 y))
(* (sqrt (/ 1 x)) (/ 1 y))
(* (sqrt (/ 1 x)) (/ 1 y))
(* (sqrt (/ 1 x)) (/ 1 y))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* (sqrt x) y)
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt (/ 1 x)) (/ 1 y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- 1 (/ 1 x)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ 1 (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) y)))) (/ 1 x)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x y))) (* -1 (* (sqrt (/ 1 x)) (* (- 1 x) (- 1 (/ 1 x)))))) y))) (/ 1 x)) y))) y))
(* (sqrt (/ 1 x)) (/ 1 y))
(* (sqrt (/ 1 x)) (/ 1 y))
(* (sqrt (/ 1 x)) (/ 1 y))
(* (sqrt (/ 1 x)) (/ 1 y))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(* x y)
(* x y)
(* x y)
(* x y)
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(/ 1 (+ 1 (* (sqrt x) y)))
(+ (/ 1 (+ 1 (* (sqrt x) y))) (/ x (pow (+ 1 (* (sqrt x) y)) 2)))
(+ (* x (+ (/ 1 (pow (+ 1 (* (sqrt x) y)) 2)) (/ x (pow (+ 1 (* (sqrt x) y)) 3)))) (/ 1 (+ 1 (* (sqrt x) y))))
(+ (* x (+ (* x (+ (/ 1 (pow (+ 1 (* (sqrt x) y)) 3)) (/ x (pow (+ 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (+ 1 (* (sqrt x) y)) 2)))) (/ 1 (+ 1 (* (sqrt x) y))))
(* (sqrt (/ 1 x)) (/ 1 y))
(* (sqrt (/ 1 x)) (/ 1 y))
(* (sqrt (/ 1 x)) (/ 1 y))
(* (sqrt (/ 1 x)) (/ 1 y))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* (sqrt x) y)
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* (sqrt x) y)
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(/ 1 (* x (- (* (sqrt (/ 1 x)) y) 1)))
(/ (- (/ 1 (- (* (sqrt (/ 1 x)) y) 1)) (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2)))) x)
(/ (- (+ (/ 1 (* (pow x 2) (pow (- (* (sqrt (/ 1 x)) y) 1) 3))) (/ 1 (- (* (sqrt (/ 1 x)) y) 1))) (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2)))) x)
(/ (- (+ (/ 1 (* (pow x 2) (pow (- (* (sqrt (/ 1 x)) y) 1) 3))) (/ 1 (- (* (sqrt (/ 1 x)) y) 1))) (+ (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2))) (/ 1 (* (pow x 3) (pow (- (* (sqrt (/ 1 x)) y) 1) 4))))) x)
(* (sqrt (/ 1 x)) (/ 1 y))
(* (sqrt (/ 1 x)) (/ 1 y))
(* (sqrt (/ 1 x)) (/ 1 y))
(* (sqrt (/ 1 x)) (/ 1 y))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))))
(* -1 (* x (- (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* -1 (* (sqrt (/ 1 x)) y))) (/ 1 x))))
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* (sqrt x) (* y (pow (sqrt -1) 2)))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(/ -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x))
(* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) x)) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x))
(* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y))
(* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y))
(* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y))
(* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
Outputs
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(/ 1 (- 1 x))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(+ (* -1 (* (sqrt x) (/ y (pow (- 1 x) 2)))) (/ 1 (- 1 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sqrt.f64 x)))
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rewrite206.0ms (4%)

Memory
18.4MiB live, 242.1MiB allocated
Rules
4 866×lower-fma.f32
4 862×lower-fma.f64
3 536×lower-/.f32
3 528×lower-/.f64
3 256×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031172
045170
1184161
21223153
08904140
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 537
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x))
(/.f64 y (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 y x)
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))
#s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) (*.f64 (*.f64 y y) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) (*.f64 (*.f64 y y) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))))
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) (*.f64 (*.f64 y y) x)))))
(*.f64 (fma.f64 (*.f64 y x) (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 (*.f64 y x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x)) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 (*.f64 y y) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) (*.f64 (*.f64 y y) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y y) x) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x)) (/.f64 (*.f64 (*.f64 y y) x) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x)) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x)) (*.f64 (/.f64 (*.f64 (*.f64 y y) x) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y)) (fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) (fma.f64 (sqrt.f64 x) y (neg.f64 x))) (*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (neg.f64 x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (-.f64 x (*.f64 (sqrt.f64 x) y))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (-.f64 x (*.f64 (sqrt.f64 x) y))) (neg.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)))) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y x) (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (*.f64 (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (*.f64 (sqrt.f64 x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y x)))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))))
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (*.f64 y x)))) (neg.f64 (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (sqrt.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x)))) (neg.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) (*.f64 (*.f64 y y) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) x) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (neg.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)))
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(+.f64 (/.f64 (*.f64 (*.f64 y y) x) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 y x)
(*.f64 x y)
(/.f64 y (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))) #s(literal -1 binary64))
(pow.f64 #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))))
(exp.f64 (*.f64 (log.f64 #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) #s(literal -1 binary64)))
(*.f64 (neg.f64 #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) #s(literal -1 binary64))
(*.f64 #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))
(pow.f64 (pow.f64 #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #s(literal 1 binary64))
#s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(/.f64 (neg.f64 (neg.f64 #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) #s(literal -1 binary64))
(/.f64 #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) x))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) x) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) y))))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (neg.f64 (neg.f64 y)))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 y))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (*.f64 y x)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y #s(literal 1 binary64)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) y)))
(/.f64 (sqrt.f64 x) (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) y))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y))
(neg.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 x))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))

eval198.0ms (3.8%)

Memory
-22.1MiB live, 341.1MiB allocated
Compiler

Compiled 15 215 to 2 319 computations (84.8% saved)

prune30.0ms (0.6%)

Memory
4.6MiB live, 90.5MiB allocated
Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New9614965
Fresh224
Picked235
Done022
Total96511976
Accuracy
100.0%
Counts
976 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶71.5%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
▶37.5%
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x)))
▶34.6%
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x))
✓41.0%
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 y (sqrt.f64 x)))
✓67.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
63.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))))
✓60.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶32.5%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓28.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶61.2%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))))
✓64.1%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
Compiler

Compiled 143 to 118 computations (17.5% saved)

simplify46.0ms (0.9%)

Memory
-3.6MiB live, 34.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y (sqrt.f64 x))
cost-diff0
(fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 y x)
cost-diff0
(/.f64 (*.f64 y x) (sqrt.f64 x))
cost-diff0
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 y (sqrt.f64 x))
cost-diff0
(*.f64 (/.f64 y (sqrt.f64 x)) x)
cost-diff0
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- 1 x) (neg.f64 x))
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- 1 x) (neg.f64 x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
Rules
688×lower-fma.f32
684×lower-fma.f64
384×lower-*.f32
380×lower-*.f64
280×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027164
037164
161156
284156
3140156
4234156
5386156
6654156
71332156
81481156
91513156
101548156
111567156
01567150
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(sqrt.f64 x)
x
y
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x))
(*.f64 (/.f64 y (sqrt.f64 x)) x)
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x)))
(/.f64 (*.f64 y x) (sqrt.f64 x))
(*.f64 y x)
y
x
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))))
#s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(literal 1 binary64)
Outputs
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 y (sqrt.f64 x) #s(approx (- 1 x) (neg.f64 x)))
(sqrt.f64 x)
x
y
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (/.f64 y (sqrt.f64 x)) x))
(*.f64 (/.f64 y (sqrt.f64 x)) x)
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (/.f64 y (sqrt.f64 x)) x))
(/.f64 (*.f64 y x) (sqrt.f64 x))
(*.f64 (/.f64 y (sqrt.f64 x)) x)
(*.f64 y x)
y
x
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))))
#s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(literal 1 binary64)

localize75.0ms (1.4%)

Memory
10.8MiB live, 90.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
#s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))
accuracy0.1796875
(/.f64 y (sqrt.f64 x))
accuracy4.125917283077313
(fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))
accuracy20.68779084512636
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))))
accuracy0
(*.f64 y x)
accuracy0
(sqrt.f64 x)
accuracy8.47731892635598
(/.f64 (*.f64 y x) (sqrt.f64 x))
accuracy37.724304217599645
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x)))
accuracy0
(sqrt.f64 x)
accuracy0.1796875
(/.f64 y (sqrt.f64 x))
accuracy7.625666535099863
(*.f64 (/.f64 y (sqrt.f64 x)) x)
accuracy37.724304217599645
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x))
accuracy0
(neg.f64 x)
accuracy25.175638856261067
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
accuracy30.385585528841084
#s(approx (- 1 x) (neg.f64 x))
accuracy0
(sqrt.f64 x)
accuracy0
(neg.f64 x)
accuracy0.06640625
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
accuracy30.385585528841084
#s(approx (- 1 x) (neg.f64 x))
Samples
58.0ms255×0valid
0.0ms1×2valid
Compiler

Compiled 115 to 21 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-div: 21.0ms (47.3% of total)
ival-mult: 6.0ms (13.5% of total)
ival-pow: 4.0ms (9% of total)
ival-add: 4.0ms (9% of total)
ival-neg: 4.0ms (9% of total)
ival-sqrt: 2.0ms (4.5% of total)
ival-sub: 1.0ms (2.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory
-5.3MiB live, 31.9MiB allocated
Counts
14 → 300
Calls
Call 1
Inputs
#s(alt (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) (patch (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())
#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation:binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation:binary64>) () ())
#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #<representation:binary64>) () ())
#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x)) (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x)) #<representation:binary64>) () ())
#s(alt (*.f64 (/.f64 y (sqrt.f64 x)) x) (patch (*.f64 (/.f64 y (sqrt.f64 x)) x) #<representation:binary64>) () ())
#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())
#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) #<representation:binary64>) () ())
#s(alt (/.f64 (*.f64 y x) (sqrt.f64 x)) (patch (/.f64 (*.f64 y x) (sqrt.f64 x)) #<representation:binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())
#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))) (patch #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)) #<representation:binary64>) () ())
Outputs
#s(alt (- 1 x) (taylor 0 y) (#s(alt (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) (patch (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) (patch (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) (patch (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) (patch (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (- 1 x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (- 1 x) (taylor 0 y) (#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x)) (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x)) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x)) (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x)) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x)) (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x)) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x)) (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 y (sqrt.f64 x)) x) (patch (*.f64 (/.f64 y (sqrt.f64 x)) x) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 y (sqrt.f64 x)) x) (patch (*.f64 (/.f64 y (sqrt.f64 x)) x) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 y (sqrt.f64 x)) x) (patch (*.f64 (/.f64 y (sqrt.f64 x)) x) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 y (sqrt.f64 x)) x) (patch (*.f64 (/.f64 y (sqrt.f64 x)) x) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (- 1 x) (taylor 0 y) (#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 y x) (sqrt.f64 x)) (patch (/.f64 (*.f64 y x) (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 y x) (sqrt.f64 x)) (patch (/.f64 (*.f64 y x) (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 y x) (sqrt.f64 x)) (patch (/.f64 (*.f64 y x) (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 y x) (sqrt.f64 x)) (patch (/.f64 (*.f64 y x) (sqrt.f64 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 (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (- 1 x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))) (patch #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (sqrt x) y)) (taylor 0 y) (#s(alt #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))) (patch #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (sqrt x) y)) (taylor 0 y) (#s(alt #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))) (patch #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (sqrt x) y)) (taylor 0 y) (#s(alt #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))) (patch #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (sqrt x) y)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (sqrt x) y)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (sqrt x) y)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) (patch (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) (patch (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) (patch (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) (patch (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x)) (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x)) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x)) (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x)) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x)) (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x)) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x)) (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (*.f64 (/.f64 y (sqrt.f64 x)) x) (patch (*.f64 (/.f64 y (sqrt.f64 x)) x) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (*.f64 (/.f64 y (sqrt.f64 x)) x) (patch (*.f64 (/.f64 y (sqrt.f64 x)) x) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (*.f64 (/.f64 y (sqrt.f64 x)) x) (patch (*.f64 (/.f64 y (sqrt.f64 x)) x) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (*.f64 (/.f64 y (sqrt.f64 x)) x) (patch (*.f64 (/.f64 y (sqrt.f64 x)) x) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (/.f64 (*.f64 y x) (sqrt.f64 x)) (patch (/.f64 (*.f64 y x) (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (/.f64 (*.f64 y x) (sqrt.f64 x)) (patch (/.f64 (*.f64 y x) (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (/.f64 (*.f64 y x) (sqrt.f64 x)) (patch (/.f64 (*.f64 y x) (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (/.f64 (*.f64 y x) (sqrt.f64 x)) (patch (/.f64 (*.f64 y x) (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())) ())
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#s(alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) (patch (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) (patch (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) (patch (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) (patch (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 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 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x)) (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x)) (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x)) (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x)) (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (sqrt.f64 x)) x) (patch (*.f64 (/.f64 y (sqrt.f64 x)) x) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (sqrt.f64 x)) x) (patch (*.f64 (/.f64 y (sqrt.f64 x)) x) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (sqrt.f64 x)) x) (patch (*.f64 (/.f64 y (sqrt.f64 x)) x) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (sqrt.f64 x)) x) (patch (*.f64 (/.f64 y (sqrt.f64 x)) x) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) (sqrt.f64 x)) (patch (/.f64 (*.f64 y x) (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) (sqrt.f64 x)) (patch (/.f64 (*.f64 y x) (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) (sqrt.f64 x)) (patch (/.f64 (*.f64 y x) (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) (sqrt.f64 x)) (patch (/.f64 (*.f64 y x) (sqrt.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))) (patch #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))) (patch #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))) (patch #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))) (patch #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (* (/ y (sqrt x)) x) (/ y (sqrt x)) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/ (* y x) (sqrt x)) (* y x) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (/ y (sqrt x)) x) 1))
1.0ms
y
@-inf
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (* (/ y (sqrt x)) x) (/ y (sqrt x)) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/ (* y x) (sqrt x)) (* y x) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (/ y (sqrt x)) x) 1))
1.0ms
y
@inf
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (* (/ y (sqrt x)) x) (/ y (sqrt x)) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/ (* y x) (sqrt x)) (* y x) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (/ y (sqrt x)) x) 1))
1.0ms
y
@0
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (* (/ y (sqrt x)) x) (/ y (sqrt x)) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/ (* y x) (sqrt x)) (* y x) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (/ y (sqrt x)) x) 1))
1.0ms
x
@inf
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (* (/ y (sqrt x)) x) (/ y (sqrt x)) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/ (* y x) (sqrt x)) (* y x) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (/ y (sqrt x)) x) 1))

simplify150.0ms (2.9%)

Memory
-26.3MiB live, 149.6MiB allocated
Algorithm
1×egg-herbie
Rules
7 942×lower-fma.f64
7 942×lower-fma.f32
2 930×lower-*.f64
2 930×lower-*.f32
1 460×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0651907
11871823
25391823
314231823
435931823
559801823
081761650
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* x y)
(* x y)
(* x y)
(* x y)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
1
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
1
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* x y)
(* x y)
(* x y)
(* x y)
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* (sqrt x) y)
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* x y)
(* x y)
(* x y)
(* x y)
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* (sqrt x) y)
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* x y)
(* x y)
(* x y)
(* x y)
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* (sqrt x) y)
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* (sqrt x) y)
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* (sqrt x) y)
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x))))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x))))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x))))
Outputs
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(- (+ 1 (* (sqrt x) y)) x)
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(- (+ 1 (* (sqrt x) y)) x)
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(- (+ 1 (* (sqrt x) y)) x)
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(- (+ 1 (* (sqrt x) y)) x)
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(- (+ 1 (* (sqrt x) y)) x)
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(- (+ 1 (* (sqrt x) y)) x)
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(- (+ 1 (* (sqrt x) y)) x)
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(- (+ 1 (* (sqrt x) y)) x)
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(- (+ 1 (* (sqrt x) y)) x)
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(- (+ 1 (* (sqrt x) y)) x)
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* y (+ (sqrt x) (/ 1 y)))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(* y (+ (sqrt x) (/ 1 y)))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(* y (+ (sqrt x) (/ 1 y)))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* y (+ (sqrt x) (/ 1 y)))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(* y (+ (sqrt x) (/ 1 y)))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(* y (+ (sqrt x) (/ 1 y)))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (* (sqrt x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 y (sqrt.f64 x))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x))))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x))))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x))))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))

rewrite169.0ms (3.3%)

Memory
9.8MiB live, 234.0MiB allocated
Rules
7 872×lower-fma.f32
7 868×lower-fma.f64
3 640×lower-/.f32
3 636×lower-/.f64
3 548×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027136
037132
1165128
21086117
08844108
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 260
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(sqrt.f64 x)
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x))
(*.f64 (/.f64 y (sqrt.f64 x)) x)
(/.f64 y (sqrt.f64 x))
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x)))
(/.f64 (*.f64 y x) (sqrt.f64 x))
(*.f64 y x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))))
#s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))
Outputs
(*.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y (sqrt.f64 x)))))
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) x) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) (neg.f64 x))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y (sqrt.f64 x))) (*.f64 (*.f64 y y) x)))))
(*.f64 (-.f64 (*.f64 (*.f64 y y) x) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) (neg.f64 x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)) (-.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) (neg.f64 x)))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y (sqrt.f64 x))) (*.f64 (*.f64 y y) x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) #s(approx (- 1 x) (neg.f64 x))))
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(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (*.f64 y x) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 x (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 x (sqrt.f64 x)) y)
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x (pow.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y x))
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (*.f64 y x) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 y (sqrt.f64 x)) x)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(*.f64 y (/.f64 x (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 x (/.f64 y (sqrt.f64 x)))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 y x) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (sqrt.f64 x) y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))
(/.f64 y (/.f64 (sqrt.f64 x) x))
(/.f64 x (/.f64 (sqrt.f64 x) y))
(neg.f64 (neg.f64 (*.f64 y (sqrt.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x))) (neg.f64 (*.f64 y (sqrt.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) x))
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 y x)
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 y) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (+ (* y (sqrt x)) 1) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 y y) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) x (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))))))
(*.f64 (fma.f64 (*.f64 y y) x #s(literal -1 binary64)) (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) x) (*.f64 y (sqrt.f64 x))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 y y) x (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) x) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 y y) x) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)))) (*.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 y y) x) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y y) x) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 y y) x) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 y y) x) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) x (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) x) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) (*.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) x #s(literal -1 binary64))) (neg.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) x) (*.f64 y (sqrt.f64 x))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 y y) x (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))))
(/.f64 (fma.f64 (*.f64 y y) x #s(literal -1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) x) (*.f64 y (sqrt.f64 x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) x (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) x) (*.f64 y (sqrt.f64 x)))) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y x) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 x (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 y y) x) (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y x) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 y (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(fma.f64 x (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))))
(-.f64 (/.f64 (*.f64 (*.f64 y y) x) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (sqrt.f64 x))))
(+.f64 (/.f64 (*.f64 (*.f64 y y) x) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))

eval149.0ms (2.9%)

Memory
15.7MiB live, 169.3MiB allocated
Compiler

Compiled 7 769 to 938 computations (87.9% saved)

prune59.0ms (1.1%)

Memory
-6.5MiB live, 75.3MiB allocated
Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New7370737
Fresh011
Picked055
Done055
Total73711748
Accuracy
100.0%
Counts
748 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓71.5%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓37.5%
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x)))
✓34.6%
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x))
✓41.0%
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 y (sqrt.f64 x)))
✓67.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
63.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))))
✓60.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓32.5%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓28.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓61.2%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))))
✓64.1%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
Compiler

Compiled 348 to 160 computations (54% saved)

regimes63.0ms (1.2%)

Memory
13.9MiB live, 49.8MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 y (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x))
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (fma.f64 (*.f64 x y) y #s(literal -1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (neg.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))
Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
Calls

3 calls:

48.0ms
x
7.0ms
y
7.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes10.0ms (0.2%)

Memory
19.6MiB live, 19.6MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 y (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
Calls

3 calls:

3.0ms
x
3.0ms
y
3.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
98.6%2x
97.2%3y
98.3%2(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes49.0ms (0.9%)

Memory
-18.9MiB live, 19.2MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 y (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
Calls

3 calls:

43.0ms
x
3.0ms
y
3.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
96.1%3y
86.6%3(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
80.3%2x
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 y (sqrt.f64 x)))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
94.8%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes51.0ms (1%)

Memory
-11.1MiB live, 52.4MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
Calls

3 calls:

18.0ms
x
2.0ms
y
2.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
60.7%1x
60.7%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
60.7%1y
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes8.0ms (0.2%)

Memory
-24.0MiB live, 13.6MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
Calls

3 calls:

4.0ms
x
2.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
2.0ms
y
Results
AccuracySegmentsBranch
37.1%3y
59.3%2x
59.8%2(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
Calls

3 calls:

1.0ms
y
1.0ms
x
1.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
28.6%1y
28.6%1x
28.6%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch36.0ms (0.7%)

Memory
-15.9MiB live, 21.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
0.11710306096396633
2.181833561804592
Samples
5.0ms112×0valid
Compiler

Compiled 102 to 110 computations (-7.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (37.7% of total)
ival-add: 1.0ms (37.7% of total)
ival-mult: 1.0ms (37.7% of total)
ival-sqrt: 1.0ms (37.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch46.0ms (0.9%)

Memory
22.4MiB live, 57.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
30.0ms
7.73712262178464e+65
2.503156646317995e+79
13.0ms
-1.2634773595153033e+66
-2.3012211901217835e+50
Samples
14.0ms320×0valid
Compiler

Compiled 201 to 262 computations (-30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 2.0ms (26.4% of total)
ival-mult: 2.0ms (26.4% of total)
ival-sqrt: 2.0ms (26.4% of total)
ival-add: 1.0ms (13.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.4%)

Memory
-9.1MiB live, 35.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
8.200269069467149e+92
1.3131727813701608e+100
1.0ms
-1.2634773595153033e+66
-2.3012211901217835e+50
Samples
7.0ms144×0valid
Compiler

Compiled 182 to 240 computations (-31.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (27.5% of total)
ival-add: 1.0ms (27.5% of total)
ival-mult: 1.0ms (27.5% of total)
ival-sqrt: 1.0ms (27.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.1818335618045919
0.8828969390360337
Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify29.0ms (0.6%)

Memory
3.3MiB live, 78.0MiB 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
037194
145194
248194
349194
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))))
(if (<=.f64 y #s(literal -700000000000000017847296581279883647018250175320141502053898780672 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x))) (if (<=.f64 y #s(literal 2400000000000000174075447315670164302780098583151652693243704373149696 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -700000000000000017847296581279883647018250175320141502053898780672 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x))) (if (<=.f64 y #s(literal 420000000000000023313316655781970749419046536862082456496424316809353879149799762943533681475584 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))))
(if (<=.f64 y #s(literal -700000000000000017847296581279883647018250175320141502053898780672 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x))) (if (<=.f64 y #s(literal 2400000000000000174075447315670164302780098583151652693243704373149696 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -700000000000000017847296581279883647018250175320141502053898780672 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x))) (if (<=.f64 y #s(literal 420000000000000023313316655781970749419046536862082456496424316809353879149799762943533681475584 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

soundness701.0ms (13.6%)

Memory
15.8MiB live, 527.2MiB allocated
Rules
10 200×lower-fma.f64
10 200×lower-fma.f32
7 542×lower-fma.f64
7 542×lower-fma.f32
6 324×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052369
1141369
2438357
31298357
44642357
57358357
08082330
0717
01117
14617
235717
3531517
0897416
02312574
16772389
219912330
375352330
090692107
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 170 to 106 computations (37.6% saved)

preprocess101.0ms (2%)

Memory
-7.1MiB live, 115.0MiB allocated
Compiler

Compiled 204 to 80 computations (60.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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