Data.Approximate.Numerics:blog from approximate-0.2.2.1

Time bar (total: 8.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
66.7%50%25%0%0%25%0%3
80%50%12.5%0%0%37.5%0%4
88.9%50%6.2%0%0%43.7%0%5
94.1%50%3.1%0%0%46.9%0%6
97%50%1.6%0%0%48.4%0%7
98.5%50%0.8%0%0%49.2%0%8
99.2%50%0.4%0%0%49.6%0%9
99.6%50%0.2%0%0%49.8%0%10
99.8%50%0.1%0%0%49.9%0%11
99.9%50%0%0%0%49.9%0%12
Compiler

Compiled 16 to 13 computations (18.8% saved)

sample1.6s (18.5%)

Memory
10.5MiB live, 1 231.1MiB allocated
Samples
1.0s8 256×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 608.0ms
ival-add: 214.0ms (35.2% of total)
ival-div: 110.0ms (18.1% of total)
ival-mult: 103.0ms (16.9% of total)
ival-sub: 99.0ms (16.3% of total)
ival-sqrt: 62.0ms (10.2% of total)
exact: 10.0ms (1.6% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain174.0ms (2%)

Memory
16.0MiB live, 256.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(sqrt.f64 x)
00-0-(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
00-0-#s(literal 4 binary64)
00-0-#s(literal 6 binary64)
00-0-(-.f64 x #s(literal 1 binary64))
00-0-(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
00-0-x
00-0-(*.f64 #s(literal 4 binary64) (sqrt.f64 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
57.0ms472×0valid
7.0ms18×2valid
3.0ms22×1valid
Compiler

Compiled 105 to 37 computations (64.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 13.0ms (42.7% of total)
ival-add: 5.0ms (16.4% of total)
ival-sqrt: 4.0ms (13.1% of total)
ival-div: 3.0ms (9.8% of total)
ival-sub: 3.0ms (9.8% of total)
adjust: 1.0ms (3.3% of total)
exact: 1.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess81.0ms (0.9%)

Memory
15.8MiB live, 89.7MiB allocated
Algorithm
egg-herbie
Rules
832×lower-fma.f64
832×lower-fma.f32
448×lower-*.f32
444×lower-*.f64
250×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01335
13432
29430
329030
469130
5134530
6161630
7164330
8164530
01114
01814
13114
25214
35914
47914
511514
618414
729414
852714
980114
10134514
11159914
12162614
0162612
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Outputs
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify52.0ms (0.6%)

Memory
-28.5MiB live, 55.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
cost-diff128
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
cost-diff128
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
Rules
832×lower-fma.f64
832×lower-fma.f32
448×lower-*.f32
444×lower-*.f64
250×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01143
01843
13143
25243
35943
47943
511543
618443
729443
852743
980143
10134543
11159943
12162643
0162639
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
#s(literal 6 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
#s(literal 4 binary64)
(sqrt.f64 x)
Outputs
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
#s(literal 6 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)

localize30.0ms (0.4%)

Memory
-2.1MiB live, 73.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(sqrt.f64 x)
accuracy0.00390625
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
accuracy0.08203125
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy0.0859375
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Samples
18.0ms236×0valid
2.0ms2valid
1.0ms11×1valid
Compiler

Compiled 45 to 13 computations (71.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 3.0ms (25.6% of total)
ival-div: 2.0ms (17.1% of total)
ival-add: 2.0ms (17.1% of total)
ival-sub: 2.0ms (17.1% of total)
ival-sqrt: 2.0ms (17.1% of total)
adjust: 1.0ms (8.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
20.7MiB live, 20.7MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
Outputs
#s(alt -6 (taylor 0 x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (sqrt x))) (taylor 0 x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<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 (* 6 x) (taylor inf x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 6 (* 6 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 6 (* 6 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 6 (* 6 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 4 (sqrt (/ 1 x))))) (taylor inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<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 (* 6 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 6 (/ 1 x)) 6))) (taylor -inf x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 6 (/ 1 x)) 6))) (taylor -inf x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 6 (/ 1 x)) 6))) (taylor -inf x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<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

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (sqrt x))
2.0ms
x
@inf
((* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (sqrt x))
1.0ms
x
@0
((* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (sqrt x))

simplify188.0ms (2.2%)

Memory
-19.3MiB live, 260.1MiB allocated
Algorithm
egg-herbie
Rules
19 378×lower-fma.f64
19 378×lower-fma.f32
4 238×lower-*.f64
4 238×lower-*.f32
3 520×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0131940
1372865
21058829
33148747
08504670
Stop Event
iter limit
node limit
Counts
60 → 58
Calls
Call 1
Inputs
-6
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
-1
(- x 1)
(- x 1)
(- x 1)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* 6 x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -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
-6
#s(literal -6 binary64)
(- (* 6 x) 6)
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(- (* 6 x) 6)
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(- (* 6 x) 6)
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(+ 1 (* 4 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 x (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 6 binary64)))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (*.f64 (/.f64 x (*.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal -6 binary64))) x))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 x (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) (fma.f64 (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 6 binary64) #s(literal -6 binary64))) x (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- x 1)
(-.f64 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)
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (- 6 (* 6 (/ 1 x))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(* x (- 6 (* 6 (/ 1 x))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(* x (- 6 (* 6 (/ 1 x))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+.f64 (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) x) (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -6 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) (*.f64 (*.f64 x x) x)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) x) (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -6 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))))
x
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* x (- 1 (/ 1 x)))
(-.f64 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)
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(+.f64 (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) x) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (/.f64 (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) (/.f64 #s(literal -6 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 4 binary64)) x))) x)) x))
x
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 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)

rewrite311.0ms (3.6%)

Memory
40.0MiB live, 192.2MiB allocated
Rules
6 996×lower-fma.f64
6 996×lower-fma.f32
5 704×lower-*.f32
5 700×lower-*.f64
4 836×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
01832
16932
252632
0844128
Stop Event
iter limit
node limit
iter limit
Counts
5 → 534
Calls
Call 1
Inputs
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(-.f64 x #s(literal 1 binary64))
(sqrt.f64 x)
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) x (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))))) (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) x (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))))) (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 #s(literal 6 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 6 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 6 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 6 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -6 binary64))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 6 binary64)))
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)))
(*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) #s(literal 6 binary64)))
(*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)))
(*.f64 #s(literal 6 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 #s(literal 6 binary64) (neg.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 6 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 6 binary64))) #s(literal 36 binary64)) (-.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) (*.f64 #s(literal 6 binary64) x)) #s(literal 36 binary64)) (-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal -216 binary64)) (fma.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 3 binary64)) #s(literal -216 binary64)) (fma.f64 (*.f64 #s(literal 6 binary64) x) (*.f64 #s(literal 6 binary64) x) (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64))) (neg.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) #s(literal 6 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 6 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 6 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) #s(literal 6 binary64)) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))
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(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (*.f64 x x) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(-.f64 x #s(literal 1 binary64))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))

eval112.0ms (1.3%)

Memory
-21.3MiB live, 136.8MiB allocated
Compiler

Compiled 17 707 to 1 747 computations (90.1% saved)

prune237.0ms (2.8%)

Memory
16.2MiB live, 227.6MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New58111592
Fresh000
Picked101
Done000
Total58211593
Accuracy
100.0%
Counts
593 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
74.8%
(/.f64 (*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal -16 binary64) x)))
99.9%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
99.9%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))))
54.4%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
48.2%
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
52.1%
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64))))
99.9%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
99.9%
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
51.9%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
Compiler

Compiled 322 to 230 computations (28.6% saved)

simplify148.0ms (1.7%)

Memory
-22.3MiB live, 62.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
cost-diff128
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
cost-diff0
(*.f64 x #s(literal 6 binary64))
cost-diff0
#s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64)))
cost-diff0
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
cost-diff128
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
cost-diff0
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
cost-diff128
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
cost-diff0
(-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x))
cost-diff128
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
Rules
1 296×lower-fma.f32
1 290×lower-fma.f64
768×lower-*.f32
760×lower-*.f64
304×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036229
058224
195224
2128224
3175224
4302224
5565224
61404224
71918224
82186224
92328224
102347224
112372224
122381224
132383224
02383216
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
#s(literal -4 binary64)
(sqrt.f64 x)
#s(literal -1 binary64)
#s(literal 6 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
#s(literal -6 binary64)
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(sqrt.f64 x)
x
#s(literal 4 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
#s(literal 6 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal 4 binary64)
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
#s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64)))
(*.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
#s(literal 4 binary64)
(sqrt.f64 x)
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
#s(literal 6 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
(sqrt.f64 x)
#s(literal 4 binary64)
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x))
(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
#s(literal -4 binary64)
(sqrt.f64 x)
#s(literal -1 binary64)
#s(literal 6 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
#s(literal -6 binary64)
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
x
#s(literal 4 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
#s(literal 6 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal 4 binary64)
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))))
#s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64)))
#s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x))
(*.f64 x #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) x)
x
#s(literal 6 binary64)
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
#s(literal 4 binary64)
(sqrt.f64 x)
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
#s(literal 6 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)
(sqrt.f64 x)
#s(literal 4 binary64)

localize193.0ms (2.2%)

Memory
-2.9MiB live, 115.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(sqrt.f64 x)
accuracy0.0234375
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
accuracy0.08203125
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy0.0859375
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
accuracy0
(sqrt.f64 x)
accuracy0.00390625
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
accuracy0.0859375
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
accuracy33.13800390281497
#s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64)))
accuracy0.00390625
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
accuracy0.08203125
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy0.0859375
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
accuracy29.173273272992894
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
accuracy0
(sqrt.f64 x)
accuracy0.00390625
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
accuracy0.16015625
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
accuracy30.769778228526885
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
accuracy0.00390625
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
accuracy0.00390625
(-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)
accuracy0.02734375
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
accuracy0.04296875
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x))
Samples
44.0ms236×0valid
42.0ms2valid
4.0ms11×1valid
Compiler

Compiled 213 to 29 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
adjust: 39.0ms (56.9% of total)
ival-mult: 9.0ms (13.1% of total)
ival-div: 7.0ms (10.2% of total)
ival-add: 7.0ms (10.2% of total)
ival-sub: 4.0ms (5.8% of total)
ival-sqrt: 2.0ms (2.9% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
23.2MiB live, 23.2MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) (patch (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (patch (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (patch #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (patch #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 6 binary64)) (patch (*.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (patch (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt (/ 6 (- (* -4 (sqrt x)) 1)) (taylor 0 x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 6 (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 6 (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (* 6 (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 6 (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (* x (+ (* 6 (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))) (- (* -4 (sqrt x)) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (- (* -4 (sqrt x)) 1)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (+ (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1))) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (+ (* x (- (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (pow (- (* -4 (sqrt x)) 1) 2)) (* -1 (/ (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))) (- (* -4 (sqrt x)) 1))))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) 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 (- (* -4 (sqrt x)) 1) (taylor 0 x) (#s(alt (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) (patch (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -4 (sqrt x)) (* -1 x)) 1) (taylor 0 x) (#s(alt (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) (patch (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -4 (sqrt x)) (* -1 x)) 1) (taylor 0 x) (#s(alt (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) (patch (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -4 (sqrt x)) (* -1 x)) 1) (taylor 0 x) (#s(alt (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) (patch (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (patch (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (patch (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (patch (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (patch (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (sqrt x))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (sqrt x))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (sqrt x))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (sqrt x))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #<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 -6 (taylor 0 x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (* 6 x) (taylor -inf x) (#s(alt #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (patch #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 6 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 6 binary64)) (patch (*.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 6 binary64)) (patch (*.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 6 binary64)) (patch (*.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 6 binary64)) (patch (*.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (patch (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (patch (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (patch (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (patch (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((* (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) 6) (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (- 1 x) (- (+ (* -4 (sqrt x)) -1) x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* (sqrt x) 4) 1) (sqrt x) (* 6 (- x 1)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (+ (+ x 1) (* 4 (sqrt x))) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (* x 6) (/ (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1)) (+ (+ (* (sqrt x) 4) x) 1) (+ (* -4 (sqrt x)) -1) (+ (* (sqrt x) 4) x))
4.0ms
x
@inf
((* (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) 6) (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (- 1 x) (- (+ (* -4 (sqrt x)) -1) x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* (sqrt x) 4) 1) (sqrt x) (* 6 (- x 1)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (+ (+ x 1) (* 4 (sqrt x))) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (* x 6) (/ (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1)) (+ (+ (* (sqrt x) 4) x) 1) (+ (* -4 (sqrt x)) -1) (+ (* (sqrt x) 4) x))
3.0ms
x
@0
((* (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) 6) (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (- 1 x) (- (+ (* -4 (sqrt x)) -1) x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* (sqrt x) 4) 1) (sqrt x) (* 6 (- x 1)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (+ (+ x 1) (* 4 (sqrt x))) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (* x 6) (/ (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1)) (+ (+ (* (sqrt x) 4) x) 1) (+ (* -4 (sqrt x)) -1) (+ (* (sqrt x) 4) x))

simplify239.0ms (2.8%)

Memory
-6.0MiB live, 108.4MiB allocated
Algorithm
egg-herbie
Rules
7 842×lower-fma.f64
7 842×lower-fma.f32
3 628×lower-*.f64
3 628×lower-*.f32
3 116×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03415573
19744972
230024771
080884308
Stop Event
iter limit
node limit
Counts
240 → 238
Calls
Call 1
Inputs
(/ 6 (- (* -4 (sqrt x)) 1))
(+ (* 6 (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(+ (* x (+ (* 6 (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (* 6 (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(+ (* x (+ (* 6 (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (* x (+ (* 6 (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))) (- (* -4 (sqrt x)) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(/ 1 (- (* -4 (sqrt x)) 1))
(+ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1)))
(+ (* x (- (+ (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1))) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1)))
(+ (* x (- (+ (* x (- (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (pow (- (* -4 (sqrt x)) 1) 2)) (* -1 (/ (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))) (- (* -4 (sqrt x)) 1))))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(- (* -4 (sqrt x)) 1)
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
-6
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
-1
(- x 1)
(- x 1)
(- x 1)
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
-6
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(- (* -4 (sqrt x)) 1)
(- (* -4 (sqrt x)) 1)
(- (* -4 (sqrt x)) 1)
(- (* -4 (sqrt x)) 1)
(* 4 (sqrt x))
(+ x (* 4 (sqrt x)))
(+ x (* 4 (sqrt x)))
(+ x (* 4 (sqrt x)))
(/ -6 (- (* -4 (sqrt (/ 1 x))) 1))
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(- (/ 1 (* x (- (* -4 (sqrt (/ 1 x))) 1))) (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(- (+ (/ 1 (* x (- (* -4 (sqrt (/ 1 x))) 1))) (/ 1 (* (pow x 2) (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))) (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (+ (/ 1 (* (pow x 2) (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))))
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(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (* -4 (sqrt (/ 1 x))) 1))
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))
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(* -3/2 (sqrt (/ 1 x)))
(/ (+ 3/8 (* -3/2 (sqrt x))) x)
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x)
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(* 4 (sqrt x))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(sqrt x)
(sqrt x)
(sqrt x)
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x
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(* x (- 1 (/ 1 x)))
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(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
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(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
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(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* -4 (sqrt x))
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(* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+ (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(+ (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 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 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(* 3/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (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)))
(* 6 x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(* 6 x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* 4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
Outputs
(/ 6 (- (* -4 (sqrt x)) 1))
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(+ (* 6 (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(fma.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) x (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(+ (* x (+ (* 6 (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (* 6 (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
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(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
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x
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) x) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(-.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal 6 binary64) x) (+.f64 (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))) x))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(-.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))) x)) x)) x))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(*.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) x)) x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(*.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) x)) x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(*.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) x)) x)
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) x) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(-.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal 6 binary64) x) (+.f64 (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))) x))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(-.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))) x)) x)) x))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* 4 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal -4 binary64) #s(literal -1 binary64))
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal -4 binary64) #s(literal -1 binary64))
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal -4 binary64) #s(literal -1 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)

rewrite239.0ms (2.8%)

Memory
11.3MiB live, 124.1MiB allocated
Rules
4 918×lower-/.f32
4 908×lower-/.f64
4 678×lower-fma.f32
4 672×lower-fma.f64
4 354×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036180
058175
1226175
21619175
08349169
Stop Event
iter limit
node limit
iter limit
Counts
20 → 650
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x))
(-.f64 #s(literal 1 binary64) x)
(-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(sqrt.f64 x)
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(-.f64 x #s(literal 1 binary64))
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
#s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64)))
(*.f64 x #s(literal 6 binary64))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
Outputs
(*.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(*.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (*.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))))))))
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (*.f64 x x)))) (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (*.f64 x x)))) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))))))))
(*.f64 (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(*.f64 #s(literal -6 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(*.f64 #s(literal 6 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #s(literal 6 binary64)))
(pow.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))))
(/.f64 (neg.f64 (*.f64 #s(literal 6 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) (neg.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(/.f64 (*.f64 #s(literal 6 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(/.f64 (neg.f64 (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
(/.f64 #s(literal -6 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 6 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (*.f64 x x)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))))))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (*.f64 x x)))) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (*.f64 x x)))) (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(pow.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
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(fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) x) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (/.f64 (*.f64 #s(literal 16 binary64) x) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
(*.f64 (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 16 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 16 binary64) x) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) x) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 16 binary64) x) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 16 binary64) x) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 16 binary64) x) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (-.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 16 binary64) x) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 16 binary64) x) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) (fma.f64 #s(literal 16 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 16 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 (*.f64 #s(literal 16 binary64) x) (-.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) x) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))))
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(*.f64 (fma.f64 #s(literal 16 binary64) x (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x))))
(*.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 #s(literal 16 binary64) x))))
(*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
(pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x)) (fma.f64 #s(literal 16 binary64) x (*.f64 (neg.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 #s(literal 16 binary64) x)) (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 x x) x))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 16 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x))) (/.f64 (*.f64 #s(literal 16 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x))) (*.f64 (/.f64 (*.f64 #s(literal 16 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 16 binary64) x (*.f64 (neg.f64 x) x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 #s(literal 16 binary64) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 16 binary64) x))) (neg.f64 (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) x (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 #s(literal 16 binary64) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 16 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x))))
(/.f64 (*.f64 (fma.f64 #s(literal 16 binary64) x (*.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x)))
(/.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 #s(literal 16 binary64) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 16 binary64) x)) (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) x (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 #s(literal 16 binary64) x) (*.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 #s(literal 16 binary64) x))))
(/.f64 (fma.f64 #s(literal 16 binary64) x (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 x x) x)) (fma.f64 x x (-.f64 (*.f64 #s(literal 16 binary64) x) (*.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x))))
(/.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 x x) x)) (fma.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 #s(literal 16 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x)) (fma.f64 #s(literal 16 binary64) x (*.f64 (neg.f64 x) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 #s(literal 16 binary64) x)) (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 x x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x)) (fma.f64 #s(literal 16 binary64) x (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 #s(literal 16 binary64) x)) (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 x x) x))))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -1 binary64) x)
(fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64) x)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 #s(literal 16 binary64) x) (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (neg.f64 x))))
(+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)
(+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))

eval301.0ms (3.5%)

Memory
-34.1MiB live, 178.4MiB allocated
Compiler

Compiled 28 708 to 2 478 computations (91.4% saved)

prune479.0ms (5.6%)

Memory
14.6MiB live, 258.7MiB allocated
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New1 095141 109
Fresh426
Picked325
Done000
Total1 102181 120
Accuracy
100.0%
Counts
1 120 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
54.4%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
99.9%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
99.9%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ (* (sqrt x) 4) x) 1) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))))
48.2%
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))))
4.5%
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
52.1%
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
52.1%
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
54.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))))
50.8%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64))
99.9%
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
51.9%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
4.5%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
51.9%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
1.5%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
3.8%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))))
4.0%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
4.5%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 413 to 289 computations (30% saved)

simplify263.0ms (3.1%)

Memory
11.6MiB live, 130.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)))
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
cost-diff320
(*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))
cost-diff0
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
cost-diff0
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
cost-diff0
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
cost-diff0
(fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64))
cost-diff0
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))))
cost-diff128
(/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
cost-diff0
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))
cost-diff0
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
cost-diff128
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
Rules
2 720×lower-fma.f32
2 708×lower-fma.f64
1 700×lower-*.f32
1 694×lower-*.f64
722×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044278
069273
1114269
2173267
3232267
4313267
5483267
6857267
71737267
82997267
94164267
104513267
114686267
124754267
134814267
144814267
155026267
165086267
175086267
185204267
195528267
205528267
215532267
05532262
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
#s(literal 6 binary64)
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))
(sqrt.f64 x)
x
#s(literal 4 binary64)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal -3/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))
(fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64))
#s(literal -3/2 binary64)
(sqrt.f64 x)
x
#s(literal -3/8 binary64)
(neg.f64 x)
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
x
#s(literal 6 binary64)
#s(literal -6 binary64)
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)))
#s(literal -6 binary64)
(fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))
#s(literal 16 binary64)
x
#s(literal -1 binary64)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
Outputs
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))))
#s(literal 6 binary64)
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))
(sqrt.f64 x)
x
#s(literal 4 binary64)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)))
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))
(/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)
(fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64))
#s(literal -3/2 binary64)
(sqrt.f64 x)
x
#s(literal -3/8 binary64)
(neg.f64 x)
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
x
#s(literal 6 binary64)
#s(literal -6 binary64)
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) (fma.f64 #s(literal -16 binary64) x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) (fma.f64 #s(literal -16 binary64) x #s(literal 1 binary64)))
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)))
#s(literal -6 binary64)
(fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))
#s(literal 16 binary64)
x
#s(literal -1 binary64)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)

localize131.0ms (1.5%)

Memory
-26.6MiB live, 218.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
accuracy0.0078125
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)))
accuracy0.15625
(*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))
accuracy30.769778228526885
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
accuracy0
(sqrt.f64 x)
accuracy0.00390625
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
accuracy0.0859375
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
accuracy29.173273272992894
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
accuracy0.13671875
(fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64))
accuracy0.13671875
(/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))
accuracy30.769778228526885
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))))
accuracy62.94695413427927
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))
accuracy0.125
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy0.32421875
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
accuracy30.769778228526885
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
accuracy31.882334318877756
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
accuracy0
(sqrt.f64 x)
accuracy0.00390625
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))
accuracy0.03125
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
accuracy0.04296875
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
Samples
55.0ms236×0valid
10.0ms11×1valid
7.0ms2valid
Compiler

Compiled 222 to 40 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-div: 13.0ms (26.3% of total)
ival-mult: 13.0ms (26.3% of total)
ival-add: 9.0ms (18.2% of total)
ival-neg: 5.0ms (10.1% of total)
ival-sqrt: 4.0ms (8.1% of total)
adjust: 2.0ms (4% of total)
ival-sub: 2.0ms (4% of total)
exact: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory
23.9MiB live, 62.4MiB allocated
Counts
21 → 252
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())
#s(alt #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<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 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)) (patch (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))) #<representation binary64>) () ())
#s(alt #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))) (patch #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (patch (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (patch #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (patch (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) (patch (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (sqrt x))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) #<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 (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ())
#s(alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ())
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor 0 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)) (taylor 0 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)) (taylor 0 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)) (taylor 0 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 (/ (- (* -3/2 (sqrt x)) 3/8) x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)) (patch (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -3/2 (sqrt x)) 3/8) x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)) (patch (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -3/2 (sqrt x)) 3/8) x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)) (patch (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -3/2 (sqrt x)) 3/8) x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)) (patch (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))) (patch #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (taylor -inf x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (taylor -inf x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (taylor -inf x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -3/8 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (patch (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 3/8 (* 3/128 (/ 1 x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (patch (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 3/8 (+ (/ 3/2048 (pow x 2)) (* 3/128 (/ 1 x)))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (patch (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 3/8 (* -1 (/ (- (* -1 (/ (+ 3/2048 (* 3/32768 (/ 1 x))) x)) 3/128) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (patch (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 16 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) (patch (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 16))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) (patch (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 16))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) (patch (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 16))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) (patch (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
((* (/ 6 (+ (* (sqrt x) 4) (- x -1))) (- x 1)) (/ 6 (+ (* (sqrt x) 4) (- x -1))) (+ (* (sqrt x) 4) (- x -1)) (sqrt x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (* -3/2 (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ (+ (* -3/2 (sqrt x)) -3/8) (neg x)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* -3/2 (sqrt x)) -3/8) (/ (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x)))) (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x))) (+ (* (sqrt x) 4) 1) (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* 16 x) -1)) (+ (* 16 x) -1) (+ (* 4 (sqrt x)) -1))
4.0ms
x
@inf
((* (/ 6 (+ (* (sqrt x) 4) (- x -1))) (- x 1)) (/ 6 (+ (* (sqrt x) 4) (- x -1))) (+ (* (sqrt x) 4) (- x -1)) (sqrt x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (* -3/2 (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ (+ (* -3/2 (sqrt x)) -3/8) (neg x)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* -3/2 (sqrt x)) -3/8) (/ (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x)))) (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x))) (+ (* (sqrt x) 4) 1) (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* 16 x) -1)) (+ (* 16 x) -1) (+ (* 4 (sqrt x)) -1))
3.0ms
x
@0
((* (/ 6 (+ (* (sqrt x) 4) (- x -1))) (- x 1)) (/ 6 (+ (* (sqrt x) 4) (- x -1))) (+ (* (sqrt x) 4) (- x -1)) (sqrt x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (* -3/2 (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ (+ (* -3/2 (sqrt x)) -3/8) (neg x)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* -3/2 (sqrt x)) -3/8) (/ (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x)))) (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x))) (+ (* (sqrt x) 4) 1) (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* 16 x) -1)) (+ (* 16 x) -1) (+ (* 4 (sqrt x)) -1))

simplify243.0ms (2.8%)

Memory
-15.3MiB live, 342.6MiB allocated
Algorithm
egg-herbie
Rules
15 072×lower-fma.f64
15 072×lower-fma.f32
4 844×lower-*.f64
4 844×lower-*.f32
4 666×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04375838
112895075
237614907
080684436
Stop Event
iter limit
node limit
Counts
252 → 252
Calls
Call 1
Inputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(/ 6 (+ 1 (* 4 (sqrt x))))
(+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(+ (* x (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(+ (* x (- (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* -1 (/ (- (* -3/2 (sqrt x)) 3/8) x))
(* -1 (/ (- (* -3/2 (sqrt x)) 3/8) x))
(* -1 (/ (- (* -3/2 (sqrt x)) 3/8) x))
(* -1 (/ (- (* -3/2 (sqrt x)) 3/8) x))
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* -3/2 (sqrt x)) 3/8)
(- (* -3/2 (sqrt x)) 3/8)
(- (* -3/2 (sqrt x)) 3/8)
(- (* -3/2 (sqrt x)) 3/8)
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
-6
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(* 6 (- (* 4 (sqrt x)) 1))
(+ (* 6 (- (* 4 (sqrt x)) 1)) (* 96 (* x (- (* 4 (sqrt x)) 1))))
(+ (* 6 (- (* 4 (sqrt x)) 1)) (* x (+ (* 96 (- (* 4 (sqrt x)) 1)) (* 1536 (* x (- (* 4 (sqrt x)) 1))))))
(+ (* 6 (- (* 4 (sqrt x)) 1)) (* x (+ (* 96 (- (* 4 (sqrt x)) 1)) (* x (+ (* 1536 (- (* 4 (sqrt x)) 1)) (* 24576 (* x (- (* 4 (sqrt x)) 1))))))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
6
(+ 6 (* 96 x))
(+ 6 (* x (+ 96 (* 1536 x))))
(+ 6 (* x (+ 96 (* x (+ 1536 (* 24576 x))))))
-1
(- (* 16 x) 1)
(- (* 16 x) 1)
(- (* 16 x) 1)
(- (* 4 (sqrt x)) 1)
(- (* 4 (sqrt x)) 1)
(- (* 4 (sqrt x)) 1)
(- (* 4 (sqrt x)) 1)
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))
(/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))
(/ (- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) x)
(/ (- (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)
(/ (- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* 6 (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) x)
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))
(* -3/2 (sqrt (/ 1 x)))
(/ (+ 3/8 (* -3/2 (sqrt x))) x)
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x)
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x)
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* 3/2 (sqrt (/ 1 x)))
(+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))
(+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))
(+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))
(* -3/2 (sqrt (/ 1 x)))
(/ (+ 3/8 (* -3/2 (sqrt x))) x)
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x)
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x)
(* -3/2 (sqrt x))
(* x (- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))
(* x (- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))
(* x (- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))))
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* 4 (sqrt x))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(+ (* -3/2 (sqrt (/ 1 x))) (* 6 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) x)))
(+ (* -3/2 (sqrt (/ 1 x))) (+ (* 3/8 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) (pow x 2))) (* 6 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) x))))
(+ (* -3/2 (sqrt (/ 1 x))) (+ (* 3/128 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) (pow x 3))) (+ (* 3/8 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) (pow x 2))) (* 6 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) x)))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))
(/ -3/8 x)
(* -1 (/ (+ 3/8 (* 3/128 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 3/128 (* 3/2048 (/ 1 x))) x)) 3/8) x)
(/ (- (* -1 (/ (+ 3/2048 (* 3/32768 (/ 1 x))) (pow x 2))) (+ 3/8 (* 3/128 (/ 1 x)))) x)
(* 16 x)
(* x (- 16 (/ 1 x)))
(* x (- 16 (/ 1 x)))
(* x (- 16 (/ 1 x)))
(* 4 (sqrt x))
(* x (- (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (- (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (- (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(/ -6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x))
(* -1 (/ (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (/ 6 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) x)) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 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)))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(* 3/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x))
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -3/2 (* (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))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))
(+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))
(+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(* 3/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x))
(* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))
(* -1 (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))
(* -1 (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))))
(- (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(* 6 x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))
(+ (* -1 (/ (+ (* -6 (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -3/8 (/ (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -6 (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -1 (/ (+ (* 3/128 (/ (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 3/8 (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(/ -3/8 x)
(* -1 (/ (+ 3/8 (* 3/128 (/ 1 x))) x))
(* -1 (/ (+ 3/8 (+ (/ 3/2048 (pow x 2)) (* 3/128 (/ 1 x)))) x))
(* -1 (/ (+ 3/8 (* -1 (/ (- (* -1 (/ (+ 3/2048 (* 3/32768 (/ 1 x))) x)) 3/128) x))) x))
(* 16 x)
(* -1 (* x (- (/ 1 x) 16)))
(* -1 (* x (- (/ 1 x) 16)))
(* -1 (* x (- (/ 1 x) 16)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (+ (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (+ (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
Outputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (+.f64 x (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (+.f64 x (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) x (-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (+.f64 x (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/ 6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (/.f64 x (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal -6 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(+ (* x (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (*.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (+.f64 (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))) x (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(+ (* x (- (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (+.f64 (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal -6 binary64)) x)) x (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(+ 1 (* 4 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 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)
(/ -6 (+ 1 (* 4 (sqrt x))))
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(- (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
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(- (* -1 (/ (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(-.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (-.f64 (/.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 6 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) #s(literal 6 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 4 binary64)) x))))) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(*.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) x)) x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(*.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) x)) x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(*.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) x)) x)
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(neg.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x #s(literal -1 binary64)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(neg.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x #s(literal -1 binary64)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(neg.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x #s(literal -1 binary64)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x #s(literal -1 binary64)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x #s(literal -1 binary64)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x #s(literal -1 binary64)))
(* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(+ (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64)) x) #s(literal 6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)))
(+ (* -1 (/ (+ (* -6 (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -3/8 (/ (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64)) x) #s(literal -3/8 binary64) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -3/32 binary64) #s(literal -3/8 binary64))) (neg.f64 x)))
(+ (* -1 (/ (+ (* -6 (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -1 (/ (+ (* 3/128 (/ (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 3/8 (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64) (/.f64 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -3/32 binary64) #s(literal -3/8 binary64)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64)) x) #s(literal 3/128 binary64) (fma.f64 #s(literal 3/512 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3/128 binary64))) x)) (neg.f64 x)))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(fma.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(-.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))) x))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(-.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (-.f64 (/.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 6 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) #s(literal 6 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 4 binary64)) x))))) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))))
(/ -3/8 x)
(/.f64 #s(literal -3/8 binary64) x)
(* -1 (/ (+ 3/8 (* 3/128 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 3/128 binary64) x)) x)
(* -1 (/ (+ 3/8 (+ (/ 3/2048 (pow x 2)) (* 3/128 (/ 1 x)))) x))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 3/2048 binary64) (*.f64 x x)) #s(literal 3/8 binary64)) (/.f64 #s(literal 3/128 binary64) x)) (neg.f64 x))
(* -1 (/ (+ 3/8 (* -1 (/ (- (* -1 (/ (+ 3/2048 (* 3/32768 (/ 1 x))) x)) 3/128) x))) x))
(/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 (-.f64 #s(literal -3/128 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/32768 binary64) x) #s(literal 3/2048 binary64)) x)) x)) (neg.f64 x))
(* 16 x)
(*.f64 #s(literal 16 binary64) x)
(* -1 (* x (- (/ 1 x) 16)))
(fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 16)))
(fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 16)))
(fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(* -1 (* x (+ (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x #s(literal 1 binary64)))
(* -1 (* x (+ (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x #s(literal 1 binary64)))
(* -1 (* x (+ (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x #s(literal 1 binary64)))

rewrite223.0ms (2.6%)

Memory
4.4MiB live, 435.7MiB allocated
Rules
4 806×lower-/.f32
4 796×lower-/.f64
4 642×lower-fma.f32
4 630×lower-fma.f64
4 098×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044240
069235
1283224
21951214
08549214
Stop Event
iter limit
node limit
iter limit
Counts
21 → 755
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))
(sqrt.f64 x)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))
(fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)))
(fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
Outputs
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) #s(literal -36 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) x) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x))))
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(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))))
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))))
(*.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(*.f64 (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 16 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 16 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 16 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 16 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 16 binary64) x) (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 16 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 16 binary64) x) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 16 binary64) x) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 16 binary64) x) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) (fma.f64 #s(literal 16 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 16 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (fma.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 #s(literal 16 binary64) x) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(-.f64 (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 (sqrt.f64 x) x)) (fma.f64 #s(literal 16 binary64) x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))

eval173.0ms (2%)

Memory
17.0MiB live, 493.5MiB allocated
Compiler

Compiled 25 621 to 2 767 computations (89.2% saved)

prune220.0ms (2.6%)

Memory
-21.5MiB live, 374.2MiB allocated
Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New1 07391 082
Fresh4711
Picked235
Done022
Total1 079211 100
Accuracy
100.0%
Counts
1 100 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
99.8%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))))
54.4%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
7.0%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
99.9%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
4.5%
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
48.2%
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))))
52.1%
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
52.1%
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
54.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))))
50.8%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64))
99.9%
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
51.9%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
53.1%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
54.1%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
3.8%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
1.5%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
3.8%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) (neg.f64 x))))
4.5%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
4.0%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
4.5%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 436 to 301 computations (31% saved)

simplify160.0ms (1.9%)

Memory
30.5MiB live, 67.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x))
cost-diff128
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
#s(approx (* 6 (- x 1)) #s(literal -6 binary64))
cost-diff0
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
cost-diff128
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
cost-diff0
(fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)
cost-diff0
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
cost-diff0
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
cost-diff0
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
cost-diff0
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
cost-diff0
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
cost-diff0
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
Rules
1 744×lower-fma.f32
1 738×lower-fma.f64
1 056×lower-*.f32
1 050×lower-*.f64
510×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045265
066261
1102257
2123257
3155257
4234257
5428257
61116256
71734256
82067256
92262256
102532256
113172256
123400256
133580256
143800256
153839256
163859256
173885256
183912256
193912256
203912256
03912248
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
x
#s(literal 6 binary64)
#s(literal -6 binary64)
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
(sqrt.f64 x)
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
#s(literal -3/2 binary64)
(sqrt.f64 x)
x
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))
(/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)
(fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64))
#s(literal 3/2 binary64)
(sqrt.f64 x)
x
#s(literal 3/8 binary64)
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
#s(approx (* 6 (- x 1)) #s(literal -6 binary64))
#s(literal -6 binary64)
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
#s(literal 4 binary64)
(sqrt.f64 x)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)
#s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
(sqrt.f64 x)
#s(literal -4 binary64)
#s(literal 6 binary64)
Outputs
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
x
#s(literal 6 binary64)
#s(literal -6 binary64)
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)
(sqrt.f64 x)
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
#s(literal -3/2 binary64)
(sqrt.f64 x)
x
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))
(/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)
(fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64))
#s(literal 3/2 binary64)
(sqrt.f64 x)
x
#s(literal 3/8 binary64)
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))))
#s(approx (* 6 (- x 1)) #s(literal -6 binary64))
#s(literal -6 binary64)
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
#s(literal 1 binary64)
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
#s(literal 4 binary64)
(sqrt.f64 x)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64))
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)
(-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x)
#s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
#s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(literal -4 binary64)
#s(literal 6 binary64)

localize119.0ms (1.4%)

Memory
-22.1MiB live, 148.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)
accuracy0.02734375
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64))
accuracy0.04296875
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x))
accuracy31.88660670422113
#s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
accuracy0
(sqrt.f64 x)
accuracy0.00390625
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
accuracy0.0859375
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
accuracy30.999163165212153
#s(approx (* 6 (- x 1)) #s(literal -6 binary64))
accuracy0.13671875
(fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64))
accuracy0.13671875
(/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)
accuracy30.769778228526885
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
accuracy62.94695413427927
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))
accuracy0
(sqrt.f64 x)
accuracy0.25390625
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
accuracy30.769778228526885
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
accuracy31.882334318877756
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))
accuracy0
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
accuracy0
(sqrt.f64 x)
accuracy0.0234375
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
accuracy0.0859375
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
Samples
65.0ms236×0valid
5.0ms2valid
5.0ms11×1valid
Compiler

Compiled 206 to 38 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-div: 16.0ms (33.9% of total)
ival-mult: 13.0ms (27.6% of total)
ival-add: 10.0ms (21.2% of total)
ival-sub: 4.0ms (8.5% of total)
adjust: 2.0ms (4.2% of total)
ival-sqrt: 2.0ms (4.2% of total)
exact: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
-5.1MiB live, 30.2MiB allocated
Counts
21 → 252
Calls
Call 1
Inputs
#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) (patch #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)) (patch #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x) (patch (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) (patch (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (patch #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64)) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) (patch (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (patch #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -6 (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (sqrt x))) (taylor 0 x) (#s(alt (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (sqrt x)) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 4 (sqrt x))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 4 (sqrt x))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 4 (sqrt x))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) (patch #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) (patch #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) (patch #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) (patch #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) 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 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) (patch (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) (patch (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) (patch (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) (patch (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((/ (+ (* x 6) -6) (+ (+ (* (sqrt x) 4) x) 1)) (+ (* x 6) -6) (+ (+ (* (sqrt x) 4) x) 1) (+ (* (sqrt x) 4) x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (/ -3/2 (sqrt x)) (sqrt x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (/ (+ (* 3/2 (sqrt x)) 3/8) x) (+ (* 3/2 (sqrt x)) 3/8) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (+ x 1) (* (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) 6) (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (- 1 x) (- (+ (* -4 (sqrt x)) -1) x) (+ (* -4 (sqrt x)) -1))
2.0ms
x
@0
((/ (+ (* x 6) -6) (+ (+ (* (sqrt x) 4) x) 1)) (+ (* x 6) -6) (+ (+ (* (sqrt x) 4) x) 1) (+ (* (sqrt x) 4) x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (/ -3/2 (sqrt x)) (sqrt x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (/ (+ (* 3/2 (sqrt x)) 3/8) x) (+ (* 3/2 (sqrt x)) 3/8) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (+ x 1) (* (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) 6) (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (- 1 x) (- (+ (* -4 (sqrt x)) -1) x) (+ (* -4 (sqrt x)) -1))
2.0ms
x
@inf
((/ (+ (* x 6) -6) (+ (+ (* (sqrt x) 4) x) 1)) (+ (* x 6) -6) (+ (+ (* (sqrt x) 4) x) 1) (+ (* (sqrt x) 4) x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (/ -3/2 (sqrt x)) (sqrt x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (/ (+ (* 3/2 (sqrt x)) 3/8) x) (+ (* 3/2 (sqrt x)) 3/8) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (+ x 1) (* (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) 6) (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (- 1 x) (- (+ (* -4 (sqrt x)) -1) x) (+ (* -4 (sqrt x)) -1))

simplify201.0ms (2.3%)

Memory
15.4MiB live, 292.4MiB allocated
Algorithm
egg-herbie
Rules
13 728×lower-fma.f64
13 728×lower-fma.f32
4 912×lower-+.f64
4 912×lower-+.f32
4 634×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04235687
112475090
239524909
086044436
Stop Event
iter limit
node limit
Counts
252 → 250
Calls
Call 1
Inputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
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-6
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
(+ 1 (* 4 (sqrt x)))
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(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(* 4 (sqrt x))
(+ x (* 4 (sqrt x)))
(+ x (* 4 (sqrt x)))
(+ x (* 4 (sqrt x)))
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
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(/ -6 (+ 1 (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
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(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
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(* -3/2 (sqrt (/ 1 x)))
(sqrt x)
(sqrt x)
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(sqrt x)
(/ -6 (+ 1 (* 4 (sqrt x))))
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(/ -6 (+ 1 (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/ (+ 3/8 (* 3/2 (sqrt x))) x)
(/ (+ 3/8 (* 3/2 (sqrt x))) x)
(/ (+ 3/8 (* 3/2 (sqrt x))) x)
(/ (+ 3/8 (* 3/2 (sqrt x))) x)
(+ 3/8 (* 3/2 (sqrt x)))
(+ 3/8 (* 3/2 (sqrt x)))
(+ 3/8 (* 3/2 (sqrt x)))
(+ 3/8 (* 3/2 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
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(/ -6 (+ 1 (* 4 (sqrt x))))
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(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
-6
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(/ 6 (- (* -4 (sqrt x)) 1))
(+ (* 6 (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(+ (* x (+ (* 6 (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (* 6 (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(+ (* x (+ (* 6 (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (* x (+ (* 6 (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))) (- (* -4 (sqrt x)) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(/ 1 (- (* -4 (sqrt x)) 1))
(+ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1)))
(+ (* x (- (+ (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1))) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1)))
(+ (* x (- (+ (* x (- (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (pow (- (* -4 (sqrt x)) 1) 2)) (* -1 (/ (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))) (- (* -4 (sqrt x)) 1))))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(- (* -4 (sqrt x)) 1)
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(- (* -4 (sqrt x)) 1)
(- (* -4 (sqrt x)) 1)
(- (* -4 (sqrt x)) 1)
(- (* -4 (sqrt x)) 1)
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
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(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
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(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
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(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
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(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
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(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
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(* 3/2 (sqrt x))
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
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(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
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(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ -6 (- (* -4 (sqrt (/ 1 x))) 1))
(- (* 6 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(- (+ (* 6 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) x)) (* 6 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(- (+ (* 6 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) x)) (+ (* 6 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1)))) (* 6 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(/ -1 (- (* -4 (sqrt (/ 1 x))) 1))
(- (/ 1 (* x (- (* -4 (sqrt (/ 1 x))) 1))) (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(- (+ (/ 1 (* x (- (* -4 (sqrt (/ 1 x))) 1))) (/ 1 (* (pow x 2) (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))) (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (+ (/ 1 (* (pow x 2) (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))))
(- (+ (/ 1 (* x (- (* -4 (sqrt (/ 1 x))) 1))) (/ 1 (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 3)))) (+ (* -1 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1)))) (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (+ (/ 1 (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 4))) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (* -4 (sqrt (/ 1 x))) 1))
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))
(* -4 (sqrt x))
(* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))))
(- (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(* 6 x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(* 3/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 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)))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(* 3/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x))
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))
(+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))
(+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))
(* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))
(* -1 (* x (- (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))
(* -1 (* x (- (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(* 6 x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+ (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(+ (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 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 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(* 4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
Outputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) x (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -6 binary64) (*.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) x (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) x (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) x (-.f64 (/.f64 #s(literal -6 binary64) (*.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))))) x (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) x (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
-6
#s(literal -6 binary64)
(- (* 6 x) 6)
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(- (* 6 x) 6)
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(- (* 6 x) 6)
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(+ 1 (* 4 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(* 4 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(+ x (* 4 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
(+ x (* 4 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
(+ x (* 4 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
(/ -6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) x (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
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(-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 4 binary64)) x))) #s(literal 6 binary64) (-.f64 (/.f64 #s(literal -6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))))) x)) x))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(*.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) x)) x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(*.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) x)) x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(*.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) x)) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) x))
(+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))) (fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))) x))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))) (*.f64 (fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))) x)) x))
(/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(+ (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) x))
(+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) x))
(+ (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (*.f64 (fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) x)) 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 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x)
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x #s(literal -1 binary64))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x #s(literal -1 binary64))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x #s(literal -1 binary64))
(* 4 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal -4 binary64) (sqrt.f64 x))
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -4 binary64) #s(literal -1 binary64))
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -4 binary64) #s(literal -1 binary64))
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -4 binary64) #s(literal -1 binary64))

rewrite252.0ms (2.9%)

Memory
-25.2MiB live, 268.7MiB allocated
Rules
5 026×lower-/.f32
5 016×lower-/.f64
4 254×lower-*.f32
4 248×lower-*.f64
3 984×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045231
066227
1271223
21900223
08305215
Stop Event
iter limit
node limit
iter limit
Counts
21 → 644
Calls
Call 1
Inputs
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))
(/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)
(fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64))
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
#s(approx (* 6 (- x 1)) #s(literal -6 binary64))
(+.f64 x #s(literal 1 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x))
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)
#s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
Outputs
(*.f64 (/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) #s(literal -36 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 6 binary64) x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (+.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x) (*.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))))) (fma.f64 (*.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (neg.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x) (*.f64 (+.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x) (*.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))))) (fma.f64 (*.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (neg.f64 x)))))
(fma.f64 #s(literal -1 binary64) x #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))))
(-.f64 (/.f64 (*.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) (neg.f64 x))) (/.f64 (*.f64 x x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) (neg.f64 x))))
(-.f64 (/.f64 (*.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))) (+.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x)) (/.f64 (*.f64 x x) (+.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x)))
(-.f64 (/.f64 (*.f64 (*.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))) (fma.f64 x (+.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x) (*.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (+.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x) (*.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))))))
(-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x)
(+.f64 (neg.f64 x) #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))))
(+.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) (neg.f64 x))
#s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))

eval129.0ms (1.5%)

Memory
9.5MiB live, 232.2MiB allocated
Compiler

Compiled 24 216 to 2 286 computations (90.6% saved)

prune140.0ms (1.6%)

Memory
19.6MiB live, 300.4MiB allocated
Pruning

22 alts after pruning (14 fresh and 8 done)

PrunedKeptTotal
New9788986
Fresh5611
Picked235
Done055
Total985221 007
Accuracy
100.0%
Counts
1 007 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
99.8%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ (* (sqrt x) 4) x) 1) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))))
54.4%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
7.0%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
99.9%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
48.2%
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
4.5%
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
52.1%
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)))
52.1%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) #s(approx (* 6 (- x 1)) #s(literal -6 binary64))))
48.1%
(*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64))
99.9%
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
50.8%
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 6 binary64) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x)))
51.9%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
53.1%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
54.1%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
3.8%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
1.5%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
3.8%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)))
4.0%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(approx (+ (* 3/2 (sqrt x)) 3/8) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) x)))
4.5%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
4.0%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
4.5%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 770 to 288 computations (62.6% saved)

regimes65.0ms (0.8%)

Memory
-6.7MiB live, 31.5MiB allocated
Counts
43 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(approx (+ (* 3/2 (sqrt x)) 3/8) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) (neg.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 6 binary64) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) #s(approx (* 6 (- x 1)) #s(literal -6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ (* (sqrt x) 4) x) 1) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ (* (sqrt x) 4) x) 1) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal -16 binary64) x)))
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
Calls

2 calls:

53.0ms
x
10.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes18.0ms (0.2%)

Memory
21.9MiB live, 21.9MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(approx (+ (* 3/2 (sqrt x)) 3/8) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) (neg.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 6 binary64) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
Calls

2 calls:

9.0ms
x
8.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes121.0ms (1.4%)

Memory
-27.0MiB live, 21.5MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(approx (+ (* 3/2 (sqrt x)) 3/8) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) (neg.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 6 binary64) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
Outputs
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
Calls

2 calls:

110.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
9.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes15.0ms (0.2%)

Memory
18.3MiB live, 18.3MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(approx (+ (* 3/2 (sqrt x)) 3/8) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) (neg.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64))
Outputs
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64))
Calls

2 calls:

7.0ms
x
6.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
98.2%2x
98.2%2(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes16.0ms (0.2%)

Memory
-20.3MiB live, 18.1MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(approx (+ (* 3/2 (sqrt x)) 3/8) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) (neg.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
Outputs
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))))
Calls

2 calls:

8.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
7.0ms
x
Results
AccuracySegmentsBranch
98.1%2x
98.1%2(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes13.0ms (0.2%)

Memory
15.7MiB live, 15.7MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(approx (+ (* 3/2 (sqrt x)) 3/8) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) (neg.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
Outputs
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
Calls

2 calls:

6.0ms
x
5.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
54.4%1x
54.4%1(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes50.0ms (0.6%)

Memory
-22.8MiB live, 15.7MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(approx (+ (* 3/2 (sqrt x)) 3/8) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (+.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) (neg.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
Outputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
Calls

2 calls:

42.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
6.0ms
x
Results
AccuracySegmentsBranch
54.1%1(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
54.1%1x
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes3.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
Outputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
4.5%1x
4.5%1(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.30545386155370374
3.7094265985715644
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.30545386155370374
3.7094265985715644
Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify9.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated
Algorithm
egg-herbie
Rules
22×+-commutative_binary64
20×*-commutative_binary64
16×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070226
193226
2104226
3111226
4112226
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -3602879701896397/18014398509481984 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -3602879701896397/18014398509481984 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -3602879701896397/18014398509481984 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64)))
(if (<=.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) #s(literal -3602879701896397/18014398509481984 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (+ (* -4 (sqrt x)) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #s(literal 6 binary64)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -3602879701896397/18014398509481984 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) #s(literal -3602879701896397/18014398509481984 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))

soundness1.5s (17.5%)

Memory
16.5MiB live, 999.3MiB allocated
Rules
19 378×lower-fma.f64
19 378×lower-fma.f32
15 072×lower-fma.f64
15 072×lower-fma.f32
13 728×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04375838
112895075
237614907
080684436
03415573
19744972
230024771
080884308
036180
058175
1226175
21619175
08349169
01132
01832
16932
252632
0844128
0131940
1372865
21058829
33148747
08504670
044240
069235
1283224
21951214
08549214
04235687
112475090
239524909
086044436
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 462 to 244 computations (47.2% saved)

preprocess79.0ms (0.9%)

Memory
18.9MiB live, 136.6MiB allocated
Compiler

Compiled 352 to 134 computations (61.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...