Data.Approximate.Numerics:blog from approximate-0.2.2.1

Time bar (total: 10.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
1×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)

sample2.0s (19.7%)

Memory
-23.9MiB live, 1 184.1MiB allocated
Samples
1.6s8 256×0valid
1.0ms14×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-div: 426.0ms (35.6% of total)
ival-sub: 257.0ms (21.5% of total)
ival-mult: 197.0ms (16.5% of total)
ival-add: 189.0ms (15.8% of total)
ival-sqrt: 107.0ms (8.9% of total)
exact: 11.0ms (0.9% of total)
ival-true: 7.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain193.0ms (1.9%)

Memory
8.3MiB live, 241.6MiB 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
52.0ms462×0valid
7.0ms32×1valid
3.0ms18×2valid
Compiler

Compiled 104 to 37 computations (64.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-sqrt: 21.0ms (45.7% of total)
ival-mult: 7.0ms (15.2% of total)
ival-add: 7.0ms (15.2% of total)
ival-div: 3.0ms (6.5% of total)
ival-sub: 3.0ms (6.5% of total)
adjust: 2.0ms (4.4% of total)
exact: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess100.0ms (1%)

Memory
9.5MiB live, 93.5MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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 14 to 11 computations (21.4% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.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 14 to 11 computations (21.4% saved)

simplify42.0ms (0.4%)

Memory
11.1MiB live, 50.5MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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)

localize35.0ms (0.3%)

Memory
8.2MiB live, 82.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(sqrt.f64 x)
accuracy0.0078125
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
accuracy0.1171875
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy0.1484375
(/.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
19.0ms231×0valid
4.0ms9×2valid
2.0ms16×1valid
Compiler

Compiled 45 to 13 computations (71.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-add: 5.0ms (29.3% of total)
ival-div: 4.0ms (23.4% of total)
ival-mult: 3.0ms (17.6% of total)
ival-sub: 2.0ms (11.7% of total)
ival-sqrt: 2.0ms (11.7% of total)
adjust: 1.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
-25.9MiB 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
11.0ms
x
@0
((* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (sqrt x))
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))

simplify366.0ms (3.5%)

Memory
-6.9MiB live, 306.7MiB allocated
Algorithm
1×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
1×iter limit
1×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 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 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) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (*.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 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) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 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) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 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 (/.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) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 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))))
(+ (* -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) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 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) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 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 (/.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) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 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)))) (* 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 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) x) (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 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))
(- (* -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) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 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 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (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) (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))))) 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)

rewrite201.0ms (1.9%)

Memory
25.9MiB live, 291.2MiB 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
1×iter limit
1×node limit
1×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
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eval122.0ms (1.2%)

Memory
5.9MiB live, 173.2MiB allocated
Compiler

Compiled 15 687 to 1 768 computations (88.7% saved)

prune40.0ms (0.4%)

Memory
0.1MiB live, 48.7MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New5839592
Fresh000
Picked101
Done000
Total5849593
Accuracy
100.0%
Counts
593 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.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))))
99.7%
(/.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/6 binary64) (-.f64 x #s(literal 1 binary64))))
▶99.8%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x))
▶52.0%
(/.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))))
▶49.4%
(/.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))))
49.5%
(/.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))))
▶99.9%
(*.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)))
▶49.3%
#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 236 to 196 computations (16.9% saved)

simplify195.0ms (1.9%)

Memory
-12.1MiB live, 97.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x))
cost-diff128
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
cost-diff192
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x)
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
2 464×lower-fma.f32
2 458×lower-fma.f64
1 328×lower-*.f32
1 316×lower-*.f64
608×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041267
067262
1117260
2185260
3310260
4661260
51094260
62254260
73193260
83738260
93909260
103945260
113950260
123951260
134087260
144159260
154179260
164187260
174187260
184187260
04187245
Stop Event
1×iter limit
1×saturated
1×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))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) 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)
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x))
(*.f64 #s(literal 16 binary64) x)
#s(literal 16 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(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)) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #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 #s(literal 4 binary64) (sqrt.f64 x) #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 #s(literal 4 binary64) (sqrt.f64 x) #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)) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #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)))
(-.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #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))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x))
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (-.f64 (/.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))) 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)
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x)
(-.f64 x (/.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 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x))
(fma.f64 #s(literal -16 binary64) x #s(literal 1 binary64))
(*.f64 #s(literal 16 binary64) x)
#s(literal 16 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (fma.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)))
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(literal 4 binary64)

localize146.0ms (1.4%)

Memory
-9.6MiB live, 196.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x)
accuracy0.1171875
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy0.1484375
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x))
accuracy0.16796875
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
accuracy0
(sqrt.f64 x)
accuracy0.0078125
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
accuracy0.1484375
(/.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))))
accuracy32.351145668024
#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))
accuracy0.1171875
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy0.1484375
(/.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))))
accuracy30.698314234522588
#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))
accuracy0.1640625
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
accuracy32.42412535883404
#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))
accuracy0.0078125
(-.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))
accuracy0.060878759768442016
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x))
Samples
59.0ms231×0valid
7.0ms16×1valid
5.0ms9×2valid
Compiler

Compiled 250 to 34 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 13.0ms (28% of total)
ival-add: 13.0ms (28% of total)
ival-div: 9.0ms (19.4% of total)
ival-sub: 7.0ms (15.1% of total)
adjust: 2.0ms (4.3% of total)
ival-sqrt: 2.0ms (4.3% of total)
exact: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series79.0ms (0.8%)

Memory
30.1MiB live, 69.5MiB allocated
Counts
22 → 264
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 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x)) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.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>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
57.0ms
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) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x) (- 1 (* 16 x)) (- 1 (* (sqrt x) 4)) (+ (* -4 (sqrt x)) -1) (/ 1 (- 1 (* (sqrt x) 4))) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)))
7.0ms
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) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x) (- 1 (* 16 x)) (- 1 (* (sqrt x) 4)) (+ (* -4 (sqrt x)) -1) (/ 1 (- 1 (* (sqrt x) 4))) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)))
5.0ms
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) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x) (- 1 (* 16 x)) (- 1 (* (sqrt x) 4)) (+ (* -4 (sqrt x)) -1) (/ 1 (- 1 (* (sqrt x) 4))) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)))

simplify356.0ms (3.5%)

Memory
-5.6MiB live, 119.9MiB allocated
Algorithm
1×egg-herbie
Rules
7 010×lower-fma.f64
7 010×lower-fma.f32
4 438×lower-*.f64
4 438×lower-*.f32
2 866×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05335797
115805159
251795039
083224515
Stop Event
1×iter limit
1×node limit
Counts
264 → 260
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))))
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(/ -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)
(/ 1 (- 1 (* 4 (sqrt x))))
(+ (* x (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x))))))) (/ 1 (- 1 (* 4 (sqrt x)))))
(+ (* x (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x))))))) (/ 1 (- 1 (* 4 (sqrt x)))))
(+ (* x (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x))))))) (/ 1 (- 1 (* 4 (sqrt x)))))
1
(+ 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)))
(- (* -4 (sqrt x)) 1)
(- (* -4 (sqrt x)) 1)
(- (* -4 (sqrt x)) 1)
(- (* -4 (sqrt x)) 1)
(/ 1 (- 1 (* 4 (sqrt x))))
(/ 1 (- 1 (* 4 (sqrt x))))
(/ 1 (- 1 (* 4 (sqrt x))))
(/ 1 (- 1 (* 4 (sqrt x))))
(* -6 (- 1 (* 4 (sqrt x))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt 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))))
(/ 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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(+ (* -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)
(* 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)
(sqrt x)
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 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)))
(* 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))))
(* 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)))))))))
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
x
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (- (+ 1 (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (/ 1 x))) (* -4 (sqrt (/ 1 x)))))
(* x (- (+ 1 (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))) (+ (* -4 (sqrt (/ 1 x))) (/ 1/16 (pow x 2)))))
(* -16 x)
(* x (- (/ 1 x) 16))
(* x (- (/ 1 x) 16))
(* x (- (/ 1 x) 16))
(* -4 (sqrt x))
(* x (- (/ 1 x) (* 4 (sqrt (/ 1 x)))))
(* x (- (/ 1 x) (* 4 (sqrt (/ 1 x)))))
(* x (- (/ 1 x) (* 4 (sqrt (/ 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)))
(* -1/4 (sqrt (/ 1 x)))
(/ (- (* -1/4 (sqrt x)) 1/16) x)
(/ (- (+ (* -1/4 (sqrt x)) (* -1/64 (sqrt (/ 1 x)))) 1/16) x)
(/ (- (* -1/4 (sqrt x)) (+ 1/16 (+ (* 1/64 (sqrt (/ 1 x))) (* 1/256 (/ 1 x))))) x)
6
(+ 6 (* -6 (/ (+ 1 (* 4 (sqrt x))) x)))
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2)))))
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (+ (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2))) (* 6 (/ (- (* 1/16 x) (+ (* -4 (* (sqrt x) (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))))) (+ (* -1 (* (+ 1 (* 4 (sqrt x))) (+ x (* -1/4 (sqrt x))))) (* 1/4 (sqrt (pow x 3)))))) (pow x 3))))))
(/ 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)
x
(* -1 (* x (- (* 4 (sqrt (/ 1 x))) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -4 (sqrt x)) (* -1 (/ (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -4 (sqrt x)) (* -1 (/ (- (+ (* -1/4 (sqrt x)) (+ (* 1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (/ -1/16 (pow (sqrt -1) 2)))) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x)) 1)))
(* -16 x)
(* -1 (* x (- 16 (/ 1 x))))
(* -1 (* x (- 16 (/ 1 x))))
(* -1 (* x (- 16 (/ 1 x))))
(* 4 (* (sqrt x) (pow (sqrt -1) 2)))
(* x (+ (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))
(* x (+ (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))
(* x (+ (* 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))))
(* 1/4 (sqrt (/ 1 x)))
(* -1 (/ (- (* -1/4 (sqrt x)) (* 1/16 (/ 1 (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/64 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1/16 (/ x (pow (sqrt -1) 2)))) x)) (* -1/4 (sqrt x))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ x (pow (sqrt -1) 4))) (* 1/64 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) x)) (* -1/4 (sqrt x))) x))
6
(+ 6 (* -6 (/ (+ 1 (* -4 (sqrt x))) x)))
(+ 6 (* -1 (/ (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* 6 (/ (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))) x))) x)))
(+ 6 (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x))))) (* -6 (/ (+ (* -1 (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (+ (* 4 (* (sqrt x) (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))))) (* (+ 1 (* -4 (sqrt x))) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* 6 (+ 1 (* -4 (sqrt x))))) x)))
Outputs
(/ 6 (- (* -4 (sqrt x)) 1))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #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) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (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) #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))))
(fma.f64 #s(literal 6 binary64) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) x (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
(+ (* 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))))
(fma.f64 (fma.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (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) #s(literal -1 binary64))))
(/ 1 (- (* -4 (sqrt x)) 1))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(+ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1)))
(-.f64 (+.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
(+ (* 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)))
(+.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) x (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
(+ (* 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)))
(fma.f64 (fma.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))) x (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(- (* -4 (sqrt x)) 1)
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(fma.f64 #s(literal -1 binary64) x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(fma.f64 #s(literal -1 binary64) x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(fma.f64 #s(literal -1 binary64) x (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 (+ (/ 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) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (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) #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 (fma.f64 (+.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -6 binary64) (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (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) #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 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 6 binary64) (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (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) #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 (+ 1 (* 4 (sqrt 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 (+ 1 (* 4 (sqrt 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 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (* 4 (sqrt x)))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (* 4 (sqrt x)))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (* 4 (sqrt x)))
(fma.f64 #s(literal 4 binary64) (sqrt.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
#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))
(/ -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) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (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) #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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(* 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 (- (* 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))))
(fma.f64 (/.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) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) 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))))
(- (* -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 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) x) #s(literal 6 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) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -6 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 (fma.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) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -6 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 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)))) x) #s(literal 6 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -6 binary64))) (neg.f64 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 (* 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))))
(fma.f64 (/.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) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) 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))))
(- (* -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 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) x) #s(literal 6 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) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -6 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 (fma.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) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -6 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 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)))) x) #s(literal 6 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -6 binary64))) (neg.f64 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))
x
(* -1 (* x (- (* 4 (sqrt (/ 1 x))) 1)))
(fma.f64 (*.f64 x #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (* x (- (* -1 (/ (+ (* -4 (sqrt x)) (* -1 (/ (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x)) 1)))
(*.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) x) x)) x) #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (/ (+ (* -4 (sqrt x)) (* -1 (/ (- (+ (* -1/4 (sqrt x)) (+ (* 1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (/ -1/16 (pow (sqrt -1) 2)))) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x)) 1)))
(*.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) #s(literal -1/16 binary64)) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) x)) x)) x) #s(literal 1 binary64)) x)
(* -16 x)
(*.f64 #s(literal -16 binary64) x)
(* -1 (* x (- 16 (/ 1 x))))
(fma.f64 #s(literal -16 binary64) x #s(literal 1 binary64))
(* -1 (* x (- 16 (/ 1 x))))
(fma.f64 #s(literal -16 binary64) x #s(literal 1 binary64))
(* -1 (* x (- 16 (/ 1 x))))
(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))
(* x (+ (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))
(fma.f64 (*.f64 x #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* x (+ (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))
(fma.f64 (*.f64 x #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* x (+ (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))
(fma.f64 (*.f64 x #s(literal -4 binary64)) (sqrt.f64 (/.f64 #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 x #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 x))))
(fma.f64 (*.f64 x #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 x))))
(fma.f64 (*.f64 x #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(* 1/4 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (/ (- (* -1/4 (sqrt x)) (* 1/16 (/ 1 (pow (sqrt -1) 2)))) x))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) #s(literal -1/16 binary64)) x)
(* -1 (/ (+ (* -1 (/ (- (* 1/64 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1/16 (/ x (pow (sqrt -1) 2)))) x)) (* -1/4 (sqrt x))) x))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (-.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 x)) x) #s(literal 1/16 binary64))) x)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ x (pow (sqrt -1) 4))) (* 1/64 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) x)) (* -1/4 (sqrt x))) x))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/64 binary64) (*.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/256 binary64))) x) (/.f64 #s(literal -1 binary64) x) #s(literal -1/16 binary64))) x)
6
#s(literal 6 binary64)
(+ 6 (* -6 (/ (+ 1 (* -4 (sqrt x))) x)))
(fma.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64))
(+ 6 (* -1 (/ (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* 6 (/ (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))) x))) x)))
(-.f64 #s(literal 6 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 (fma.f64 x #s(literal -4 binary64) (sqrt.f64 x)) #s(literal -4 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)))) x) #s(literal 6 binary64) (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) #s(literal 6 binary64))) x))
(+ 6 (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x))))) (* -6 (/ (+ (* -1 (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (+ (* 4 (* (sqrt x) (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))))) (* (+ 1 (* -4 (sqrt x))) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* 6 (+ 1 (* -4 (sqrt x))))) x)))
(-.f64 #s(literal 6 binary64) (/.f64 (fma.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 (fma.f64 x #s(literal -4 binary64) (sqrt.f64 x)) #s(literal -4 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))))) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (neg.f64 x)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/16 binary64) x)))) x) (-.f64 x (fma.f64 (fma.f64 x #s(literal -4 binary64) (sqrt.f64 x)) #s(literal -4 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))))) x) (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) #s(literal 6 binary64))) x))

rewrite264.0ms (2.6%)

Memory
-5.4MiB live, 152.8MiB allocated
Rules
4 836×lower-/.f32
4 824×lower-/.f64
4 596×lower-fma.f32
4 590×lower-fma.f64
3 706×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041210
067196
1265196
21991189
08720180
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 950
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))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x))
Outputs
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval427.0ms (4.1%)

Memory
17.1MiB live, 322.2MiB allocated
Compiler

Compiled 38 066 to 4 193 computations (89% saved)

prune102.0ms (1%)

Memory
-30.2MiB live, 145.6MiB allocated
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1 510111 521
Fresh134
Picked415
Done000
Total1 515151 530
Accuracy
100.0%
Counts
1 530 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.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))))
52.0%
(/.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))))
49.4%
(/.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))))
49.5%
(/.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))))
99.7%
(/.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))))
▶52.0%
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #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)))
52.0%
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
✓49.3%
#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))))
▶4.6%
#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)))))
1.8%
#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)))
4.6%
#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)))))
▶51.2%
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)))
51.5%
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
▶48.0%
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
Compiler

Compiled 296 to 264 computations (10.8% saved)

simplify285.0ms (2.8%)

Memory
12.3MiB live, 123.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
cost-diff128
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
cost-diff0
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)))
cost-diff192
(fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64))
cost-diff0
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
cost-diff0
#s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
cost-diff0
(/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
cost-diff0
#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)))))
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
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
4 176×lower-fma.f32
4 170×lower-fma.f64
2 064×lower-*.f32
2 058×lower-*.f64
1 166×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041256
057249
1108245
2175245
3280245
4509245
5817245
61617245
73259245
84542245
95059245
105188245
115272245
125314245
136078245
146436245
156436245
166436245
176448245
186450245
196450245
206474245
06474234
Stop Event
1×iter limit
1×saturated
1×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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
#s(literal 6 binary64)
#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)))))
(/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
#s(literal -6 binary64)
#s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
#s(literal 4 binary64)
(sqrt.f64 x)
x
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)))
(fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64))
(/.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)
x
#s(literal 1 binary64)
#s(literal -6 binary64)
#s(literal 6 binary64)
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(-.f64 x #s(literal 1 binary64))
x
#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 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
#s(literal 6 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)))
(/.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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
#s(literal 6 binary64)
#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)))))
(/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
#s(literal -6 binary64)
#s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
#s(literal 4 binary64)
(sqrt.f64 x)
x
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (-.f64 #s(literal 6 binary64) (/.f64 (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal 6 binary64)) x)))
(fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64))
(-.f64 #s(literal 6 binary64) (/.f64 (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal 6 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)
x
#s(literal 1 binary64)
#s(literal -6 binary64)
#s(literal 6 binary64)
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #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 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(-.f64 x #s(literal 1 binary64))
x
#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 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
#s(literal 6 binary64)

localize281.0ms (2.7%)

Memory
-18.9MiB live, 185.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
accuracy0.02734375
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
accuracy0.060878759768442016
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
accuracy30.698314234522588
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
accuracy0.00390625
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
accuracy0.125
(/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)
accuracy0.16015625
(fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64))
accuracy31.254706357857334
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)))
accuracy0
(sqrt.f64 x)
accuracy0.1640625
(/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
accuracy31.182593837111174
#s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
accuracy32.42412535883404
#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)))))
accuracy33.272701653345926
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
accuracy0
(sqrt.f64 x)
accuracy0.0078125
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))
accuracy0.046875
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
accuracy0.07421875
(*.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
258.0ms256×0valid
Compiler

Compiled 211 to 36 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 237.0ms
ival-mult: 188.0ms (79.4% of total)
ival-sub: 23.0ms (9.7% of total)
ival-add: 11.0ms (4.6% of total)
ival-div: 10.0ms (4.2% of total)
ival-sqrt: 2.0ms (0.8% of total)
exact: 1.0ms (0.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
2.7MiB live, 41.8MiB allocated
Counts
17 → 204
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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt #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))))) (patch #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))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)) (patch (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64))) #<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 (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 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) (patch (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (patch (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch #s(approx (+ (+ x 1) (* 4 (sqrt x))) (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>) () ())) ())
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#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 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch #s(approx (+ (+ x 1) (* 4 (sqrt x))) (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 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch #s(approx (+ (+ x 1) (* 4 (sqrt x))) (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 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch #s(approx (+ (+ x 1) (* 4 (sqrt x))) (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 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
5.0ms
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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* (sqrt x) 4) 1) (* 4 (sqrt x)) (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (/ (+ (* 4 (sqrt x)) 1) x) (+ (* 4 (sqrt x)) 1) (* (/ (- x 1) (+ (+ x 1) (* 4 (sqrt x)))) 6) (/ (- x 1) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (+ (+ x 1) (* 4 (sqrt x))))
3.0ms
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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* (sqrt x) 4) 1) (* 4 (sqrt x)) (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (/ (+ (* 4 (sqrt x)) 1) x) (+ (* 4 (sqrt x)) 1) (* (/ (- x 1) (+ (+ x 1) (* 4 (sqrt x)))) 6) (/ (- x 1) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (+ (+ x 1) (* 4 (sqrt x))))
2.0ms
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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* (sqrt x) 4) 1) (* 4 (sqrt x)) (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (/ (+ (* 4 (sqrt x)) 1) x) (+ (* 4 (sqrt x)) 1) (* (/ (- x 1) (+ (+ x 1) (* 4 (sqrt x)))) 6) (/ (- x 1) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (+ (+ x 1) (* 4 (sqrt x))))

simplify240.0ms (2.3%)

Memory
13.9MiB live, 244.0MiB allocated
Algorithm
1×egg-herbie
Rules
11 900×lower-fma.f64
11 900×lower-fma.f32
4 940×lower-+.f64
4 940×lower-+.f32
4 118×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04125515
112354915
238584690
084194201
Stop Event
1×iter limit
1×node limit
Counts
204 → 202
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 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt 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 (+ 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)))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* -6 (/ (+ 1 (* 4 (sqrt x))) x))
(/ (+ (* -6 (+ 1 (* 4 (sqrt x)))) (* 6 x)) x)
(/ (+ (* -6 (+ 1 (* 4 (sqrt x)))) (* 6 x)) x)
(/ (+ (* -6 (+ 1 (* 4 (sqrt x)))) (* 6 x)) x)
(* -6 (- 1 (* 4 (sqrt x))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))))))))
(/ (+ 1 (* 4 (sqrt x))) x)
(/ (+ 1 (* 4 (sqrt x))) x)
(/ (+ 1 (* 4 (sqrt x))) x)
(/ (+ 1 (* 4 (sqrt x))) x)
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 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 (+ 1 (* 4 (sqrt x))))
(- (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x)))))
(- (* x (+ (* -1 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x)))))
(- (* x (+ (* x (- (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x)))) (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 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))))
(/ 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
(+ 6 (* -6 (/ (+ 1 (* 4 (sqrt x))) x)))
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2)))))
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (+ (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2))) (* 6 (/ (- (* 1/16 x) (+ (* -4 (* (sqrt x) (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))))) (+ (* -1 (* (+ 1 (* 4 (sqrt x))) (+ x (* -1/4 (sqrt x))))) (* 1/4 (sqrt (pow x 3)))))) (pow x 3))))))
(/ 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)
(* 4 (sqrt x))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(+ 6 (* -24 (sqrt (/ 1 x))))
(- (+ 6 (* -24 (sqrt (/ 1 x)))) (* 6 (/ 1 x)))
(- (+ 6 (* -24 (sqrt (/ 1 x)))) (* 6 (/ 1 x)))
(- (+ 6 (* -24 (sqrt (/ 1 x)))) (* 6 (/ 1 x)))
6
(+ 6 (* -6 (/ (+ 1 (* 4 (sqrt x))) x)))
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2)))))
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (+ (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2))) (* 6 (/ (- (* 1/16 x) (+ (* -4 (* (sqrt x) (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))))) (+ (* -1 (* (+ 1 (* 4 (sqrt x))) (+ x (* -1/4 (sqrt x))))) (* 1/4 (sqrt (pow x 3)))))) (pow x 3))))))
(* 4 (sqrt (/ 1 x)))
(+ (* 4 (sqrt (/ 1 x))) (/ 1 x))
(+ (* 4 (sqrt (/ 1 x))) (/ 1 x))
(+ (* 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)))
(/ 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)))))))))
(/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))
(- (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))
(- (+ (* -1 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))))
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 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 (- (* 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
(+ 6 (* -6 (/ (+ 1 (* -4 (sqrt x))) x)))
(+ 6 (* -1 (/ (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* 6 (/ (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))) x))) x)))
(+ 6 (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x))))) (* -6 (/ (+ (* -1 (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (+ (* 4 (* (sqrt x) (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))))) (* (+ 1 (* -4 (sqrt x))) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* 6 (+ 1 (* -4 (sqrt x))))) 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))))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(+ 6 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(- (+ 6 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 6 (/ 1 x)))
(- (+ 6 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 6 (/ 1 x)))
(- (+ 6 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 6 (/ 1 x)))
6
(+ 6 (* -6 (/ (+ 1 (* -4 (sqrt x))) x)))
(+ 6 (* -1 (/ (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* 6 (/ (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))) x))) x)))
(+ 6 (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x))))) (* -6 (/ (+ (* -1 (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (+ (* 4 (* (sqrt x) (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))))) (* (+ 1 (* -4 (sqrt x))) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* 6 (+ 1 (* -4 (sqrt x))))) x)))
(* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))
(+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))
(+ (* -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))))
(/ -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 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (- (+ (* -1 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(- (* -1 (/ (+ (* -1 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (- (+ (* -1 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (/ 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)))))
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) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 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 (fma.f64 (+.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -6 binary64) (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 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 (+ (/ 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 (fma.f64 (+.f64 (/.f64 (*.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 6 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))) (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 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))))
(/ 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 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 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) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.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 (- (* 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 (fma.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) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))) x (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) 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))))
(*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -6 binary64))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))
(fma.f64 (*.f64 #s(literal 6 binary64) x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -6 binary64)))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))
(fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x #s(literal -6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (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))) #s(literal 6 binary64))) x (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -6 binary64)))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 6 binary64) x) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -6 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))) x (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 6 binary64))) x (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -6 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 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 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 (fma.f64 (+.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -6 binary64) (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 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 (+ (/ 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 (fma.f64 (+.f64 (/.f64 (*.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 6 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))) (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 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))))
(/ -6 (+ 1 (* 4 (sqrt 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 (+ 1 (* 4 (sqrt 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)))
(+ 1 (* 4 (sqrt x)))
(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 (* 4 (sqrt x)))
(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))
(* 4 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(* 4 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(* 4 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(* 4 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(* -6 (/ (+ 1 (* 4 (sqrt x))) x))
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(* -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)))
(/ -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) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 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)))) (* 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 (/.f64 #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) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) x)) 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))))
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(/ -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(/.f64 #s(literal -1 binary64) (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 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(-.f64 (/.f64 (-.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 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) x) (/.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)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(-.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 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) x) (-.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 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))))) x))
(- (* -1 (/ (+ (* -1 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (- (+ (* -1 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (/ 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 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))

rewrite229.0ms (2.2%)

Memory
-0.7MiB live, 368.7MiB allocated
Rules
5 364×lower-fma.f32
5 358×lower-fma.f64
4 746×lower-/.f32
4 738×lower-/.f64
3 794×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041221
057210
1276210
21963196
08779191
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 619
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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
#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)))))
(/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
#s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)))
(/.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))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(-.f64 x #s(literal 1 binary64))
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
Outputs
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eval239.0ms (2.3%)

Memory
18.0MiB live, 410.8MiB allocated
Compiler

Compiled 26 400 to 3 384 computations (87.2% saved)

prune31.0ms (0.3%)

Memory
-5.2MiB live, 79.7MiB allocated
Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New1 06931 072
Fresh279
Picked145
Done011
Total1 072151 087
Accuracy
100.0%
Counts
1 087 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.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))))
52.0%
(/.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))))
99.7%
(/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/6 binary64)))
49.4%
(/.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))))
▶49.5%
(/.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))))
✓52.0%
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #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)))
▶52.0%
(*.f64 (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
✓49.3%
#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))))
✓4.6%
#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)))))
1.8%
#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)))
4.6%
#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)))))
▶51.5%
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
▶51.9%
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
✓48.0%
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
Compiler

Compiled 253 to 228 computations (9.9% saved)

simplify498.0ms (4.8%)

Memory
-18.4MiB live, 60.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
cost-diff128
(*.f64 (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 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
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))
cost-diff0
#s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
cost-diff320
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 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)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
Rules
4 324×lower-fma.f32
4 314×lower-fma.f64
2 148×lower-*.f32
2 142×lower-*.f64
1 188×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050267
073263
1124252
2191250
3304248
4532248
5822248
61592248
72851248
84265248
94943248
105160248
115265248
125324248
135365248
145861248
156079248
166089248
176095248
186095248
196095248
206095248
216115248
226137248
236145248
246145248
256301248
267311248
277473248
287481248
297481248
307481248
07481242
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.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))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
x
#s(literal 6 binary64)
#s(literal -6 binary64)
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))
(sqrt.f64 x)
#s(literal 4 binary64)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
(*.f64 (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)
#s(literal -6 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
#s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))
(fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))
#s(literal -24 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 6 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 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(literal 6 binary64)
#s(approx (+ (* (sqrt x) 4) (- x -1)) (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)
x
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
Outputs
(/.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 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (-.f64 #s(literal -1 binary64) 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)
(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)
#s(literal 4 binary64)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #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)
#s(literal -6 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64))))
#s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))
#s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64)))
(fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64))
#s(literal -24 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 6 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 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
#s(literal 6 binary64)
#s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt x) 4) (- x -1)) (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)
x
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))

localize216.0ms (2.1%)

Memory
7.7MiB live, 197.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
accuracy0.046875
(/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
accuracy0.07421875
(*.f64 (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
accuracy30.698314234522588
#s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
accuracy0
(sqrt.f64 x)
accuracy0.0078125
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
accuracy0.1484375
(/.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))))
accuracy32.64466978375459
#s(approx (* 6 (- x 1)) #s(literal -6 binary64))
accuracy0.109375
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy0.20703125
(fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))
accuracy30.583800742108693
#s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))
accuracy31.254706357857334
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
accuracy0
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))
accuracy0
(sqrt.f64 x)
accuracy0.140625
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))
accuracy31.02599485229773
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
accuracy0
(-.f64 x #s(literal -1 binary64))
accuracy0
(sqrt.f64 x)
accuracy0.0078125
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))
accuracy0.1484375
(/.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))))
Samples
103.0ms231×0valid
30.0ms16×1valid
6.0ms9×2valid
Compiler

Compiled 221 to 45 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-mult: 53.0ms (44.5% of total)
ival-div: 33.0ms (27.7% of total)
ival-add: 20.0ms (16.8% of total)
ival-sub: 5.0ms (4.2% of total)
ival-sqrt: 4.0ms (3.4% of total)
adjust: 3.0ms (2.5% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
28.2MiB live, 28.2MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#s(alt (/.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)))) (patch (/.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)))) #<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 (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 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) (patch (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 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 #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (patch #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) (patch (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (+.f64 (+.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 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (patch #s(approx (+ (* (sqrt x) 4) (- x -1)) (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 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 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)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (patch (/.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)))) #<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)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (patch (/.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)))) #<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)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (patch (/.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)))) #<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)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (patch (/.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)))) #<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 (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 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) (patch (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -6 (+ 1 (* -4 (sqrt x)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) (patch (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -6 (+ 1 (* -4 (sqrt x)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) (patch (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -6 (+ 1 (* -4 (sqrt x)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) (patch (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -6 (- 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 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 (* -6 (- 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (taylor 0 x) (#s(alt #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (patch #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -6 (+ 1 (* 4 (sqrt x)))) (* 6 x)) x) (taylor 0 x) (#s(alt #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (patch #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -6 (+ 1 (* 4 (sqrt x)))) (* 6 x)) x) (taylor 0 x) (#s(alt #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (patch #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -6 (+ 1 (* 4 (sqrt x)))) (* 6 x)) x) (taylor 0 x) (#s(alt #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (patch #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
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#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 #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 (- (* -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 #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 (* 6 x) (taylor -inf x) (#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 (* -1 (* x (- (* 6 (/ 1 x)) 6))) (taylor -inf x) (#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 (* -1 (* x (- (* 6 (/ 1 x)) 6))) (taylor -inf x) (#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 (* -1 (* x (- (* 6 (/ 1 x)) 6))) (taylor -inf x) (#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 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 (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.f64 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) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.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 (*.f64 (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.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 (*.f64 (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf x) (#s(alt (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf x) (#s(alt (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf x) (#s(alt (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (patch #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #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 #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (patch #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #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 #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (patch #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #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 #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (patch #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf 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 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) (taylor -inf 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 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) (taylor -inf 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 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) (taylor -inf 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 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>) () ())) ())
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) (* (+ (* (sqrt x) -4) 1) -6) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (+ (* (sqrt x) -4) 1) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+ (* -24 (sqrt (/ 1 x))) 6) (sqrt (/ 1 x)) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (+ x 1) (* (/ 6 (+ (* (sqrt x) 4) (- x -1))) (- x 1)) (/ 6 (+ (* (sqrt x) 4) (- x -1))) (+ (* (sqrt x) 4) (- x -1)) (+ (* (sqrt x) 4) 1) (- x -1))
2.0ms
x
@inf
((/ (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1))) (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1)) (sqrt x) (* (+ (* (sqrt x) -4) 1) -6) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (+ (* (sqrt x) -4) 1) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+ (* -24 (sqrt (/ 1 x))) 6) (sqrt (/ 1 x)) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (+ x 1) (* (/ 6 (+ (* (sqrt x) 4) (- x -1))) (- x 1)) (/ 6 (+ (* (sqrt x) 4) (- x -1))) (+ (* (sqrt x) 4) (- x -1)) (+ (* (sqrt x) 4) 1) (- x -1))
2.0ms
x
@0
((/ (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1))) (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1)) (sqrt x) (* (+ (* (sqrt x) -4) 1) -6) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (+ (* (sqrt x) -4) 1) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+ (* -24 (sqrt (/ 1 x))) 6) (sqrt (/ 1 x)) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (+ x 1) (* (/ 6 (+ (* (sqrt x) 4) (- x -1))) (- x 1)) (/ 6 (+ (* (sqrt x) 4) (- x -1))) (+ (* (sqrt x) 4) (- x -1)) (+ (* (sqrt x) 4) 1) (- x -1))

simplify353.0ms (3.4%)

Memory
-24.3MiB live, 219.0MiB allocated
Algorithm
1×egg-herbie
Rules
17 886×lower-fma.f64
17 886×lower-fma.f32
4 590×lower-*.f64
4 590×lower-*.f32
4 510×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03995036
112284474
239164212
081963749
Stop Event
1×iter limit
1×node limit
Counts
240 → 236
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))))))
(- (* 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))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -6 (+ 1 (* -4 (sqrt x))))
(* -6 (+ 1 (* -4 (sqrt x))))
(* -6 (+ 1 (* -4 (sqrt x))))
(* -6 (+ 1 (* -4 (sqrt x))))
(* -6 (- 1 (* 4 (sqrt x))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))))))))
(+ 1 (* -4 (sqrt x)))
(+ 1 (* -4 (sqrt x)))
(+ 1 (* -4 (sqrt x)))
(+ 1 (* -4 (sqrt x)))
(* -6 (- 1 (* 4 (sqrt x))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))
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(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
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(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
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(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
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(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x)))))
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x)))))
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x)))))
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(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
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(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
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(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 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)))
(- (* 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) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 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))))
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(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 x #s(literal 1 binary64)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 x #s(literal 1 binary64)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 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))))
(fma.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 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -6 binary64) x) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 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 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) x) (-.f64 (/.f64 #s(literal 6 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 #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 2 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) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 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 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 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)))) x) #s(literal 6 binary64) (-.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 3 binary64))) (/.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 2 binary64))))) x)) x))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 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))
(/ -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))))
(fma.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 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -6 binary64) x) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 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 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) x) (-.f64 (/.f64 #s(literal 6 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 #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 2 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) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 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 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 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)))) x) #s(literal 6 binary64) (-.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 3 binary64))) (/.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 2 binary64))))) x)) x))
(/ -6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(/.f64 #s(literal 6 binary64) (fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
(* -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))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -6 binary64) x) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 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))) (+ (/ 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))
(/.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 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 #s(literal 6 binary64) x) x) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)))) (neg.f64 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))
(/.f64 (-.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 2 binary64))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 6 binary64) x) (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) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)))) x)) x) (/.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 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 x #s(literal 1 binary64)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 x #s(literal 1 binary64)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 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) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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))

rewrite485.0ms (4.7%)

Memory
21.8MiB live, 218.0MiB allocated
Rules
5 280×lower-/.f32
5 272×lower-/.f64
4 114×lower-*.f32
4 108×lower-*.f64
3 592×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050230
073222
1327211
22377199
08999197
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 1 178
Calls
Call 1
Inputs
(/.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))))
(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)))
(sqrt.f64 x)
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (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))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
#s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))
(fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+.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 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (+ (* (sqrt x) 4) (- x -1)) (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 #s(literal -1 binary64))
Outputs
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eval312.0ms (3%)

Memory
-6.9MiB live, 508.6MiB allocated
Compiler

Compiled 38 061 to 4 024 computations (89.4% saved)

prune47.0ms (0.5%)

Memory
-15.7MiB live, 144.6MiB allocated
Pruning

18 alts after pruning (11 fresh and 7 done)

PrunedKeptTotal
New1 47791 486
Fresh325
Picked325
Done055
Total1 483181 501
Accuracy
100.0%
Counts
1 501 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(/.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))))
52.0%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64))))
99.8%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal -1 binary64)))
49.4%
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
49.5%
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
49.5%
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal -1 binary64)))
✓52.0%
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #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)))
✓52.0%
(*.f64 (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
✓49.3%
#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))))
✓4.6%
#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)))))
1.8%
#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)))
4.6%
#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)))))
51.5%
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
51.9%
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))))
51.8%
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) #s(approx (+ (* -24 (sqrt (/ 1 x))) 6) (/.f64 (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) (*.f64 #s(literal 6 binary64) x)) x))))
4.4%
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))))
✓48.0%
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
Compiler

Compiled 532 to 273 computations (48.7% saved)

regimes22.0ms (0.2%)

Memory
6.2MiB live, 45.5MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #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 (/.f64 #s(literal 1 binary64) 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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
#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(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) #s(approx (+ (* -24 (sqrt (/ 1 x))) 6) (/.f64 (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) (*.f64 #s(literal 6 binary64) x)) 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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #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 (sqrt.f64 x) #s(literal 4 binary64) #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) #s(approx (- x -1) #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #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 (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 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)) (fma.f64 (sqrt.f64 x) #s(literal 4 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 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) 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 #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 (/.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 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/6 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 (-.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 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x))
(/.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/6 binary64) (-.f64 x #s(literal 1 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))
Calls

2 calls:

13.0ms
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 15 to 12 computations (20% saved)

regimes18.0ms (0.2%)

Memory
5.7MiB live, 43.4MiB allocated
Counts
27 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #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 (/.f64 #s(literal 1 binary64) 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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
#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(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) #s(approx (+ (* -24 (sqrt (/ 1 x))) 6) (/.f64 (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) (*.f64 #s(literal 6 binary64) x)) 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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #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 (sqrt.f64 x) #s(literal 4 binary64) #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) #s(approx (- x -1) #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #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 (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 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)) (fma.f64 (sqrt.f64 x) #s(literal 4 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 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) 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 #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 (/.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:

10.0ms
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
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 15 to 12 computations (20% saved)

regimes17.0ms (0.2%)

Memory
1.5MiB live, 39.5MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #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 (/.f64 #s(literal 1 binary64) 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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
#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(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) #s(approx (+ (* -24 (sqrt (/ 1 x))) 6) (/.f64 (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) (*.f64 #s(literal 6 binary64) x)) 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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #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 (sqrt.f64 x) #s(literal 4 binary64) #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) #s(approx (- x -1) #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #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 (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 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)) (fma.f64 (sqrt.f64 x) #s(literal 4 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 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) 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 #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))))
Outputs
(/.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))))
Calls

2 calls:

9.0ms
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
99.8%1x
99.8%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 15 to 12 computations (20% saved)

regimes16.0ms (0.2%)

Memory
0.2MiB live, 37.9MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #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 (/.f64 #s(literal 1 binary64) 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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
#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(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) #s(approx (+ (* -24 (sqrt (/ 1 x))) 6) (/.f64 (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) (*.f64 #s(literal 6 binary64) x)) 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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #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 (sqrt.f64 x) #s(literal 4 binary64) #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) #s(approx (- x -1) #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #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 (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 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)) (fma.f64 (sqrt.f64 x) #s(literal 4 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 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal -1 binary64)))
Outputs
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal -1 binary64)))
Calls

2 calls:

9.0ms
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
99.8%1x
99.8%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 15 to 12 computations (20% saved)

regimes20.0ms (0.2%)

Memory
-3.5MiB live, 36.5MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #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 (/.f64 #s(literal 1 binary64) 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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
#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(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) #s(approx (+ (* -24 (sqrt (/ 1 x))) 6) (/.f64 (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) (*.f64 #s(literal 6 binary64) x)) 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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #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 (sqrt.f64 x) #s(literal 4 binary64) #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) #s(approx (- x -1) #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #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 (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 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)) (fma.f64 (sqrt.f64 x) #s(literal 4 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))))
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:

13.0ms
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
96.8%2x
96.8%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 15 to 12 computations (20% saved)

regimes14.0ms (0.1%)

Memory
-3.4MiB live, 34.6MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #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 (/.f64 #s(literal 1 binary64) 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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
#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(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) #s(approx (+ (* -24 (sqrt (/ 1 x))) 6) (/.f64 (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) (*.f64 #s(literal 6 binary64) x)) 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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #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 (sqrt.f64 x) #s(literal 4 binary64) #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) #s(approx (- x -1) #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #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 (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) 4) (- x -1)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #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))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))))
Calls

2 calls:

8.0ms
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
96.8%2x
96.8%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 15 to 12 computations (20% saved)

regimes10.0ms (0.1%)

Memory
32.6MiB live, 32.6MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #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 (/.f64 #s(literal 1 binary64) 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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
#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(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) #s(approx (+ (* -24 (sqrt (/ 1 x))) 6) (/.f64 (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) (*.f64 #s(literal 6 binary64) x)) 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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)))
Outputs
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))))
Calls

2 calls:

5.0ms
x
4.0ms
(/.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
96.8%2x
96.8%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 15 to 12 computations (20% saved)

regimes11.0ms (0.1%)

Memory
-6.8MiB live, 28.3MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #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 (/.f64 #s(literal 1 binary64) 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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
#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(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal -1 binary64)))
Outputs
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal -1 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))))
Calls

2 calls:

7.0ms
(/.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))))
4.0ms
x
Results
AccuracySegmentsBranch
96.8%2x
96.8%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 15 to 12 computations (20% saved)

regimes10.0ms (0.1%)

Memory
-15.8MiB live, 21.4MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #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 (/.f64 #s(literal 1 binary64) 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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
#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(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
Outputs
#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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))))
Calls

2 calls:

6.0ms
x
3.0ms
(/.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
96.7%2x
96.7%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 15 to 12 computations (20% saved)

regimes7.0ms (0.1%)

Memory
18.3MiB live, 18.3MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #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 (/.f64 #s(literal 1 binary64) 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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
#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)))
Outputs
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))))
Calls

2 calls:

3.0ms
x
3.0ms
(/.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
96.6%2x
96.6%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 15 to 12 computations (20% saved)

regimes4.0ms (0%)

Memory
13.0MiB live, 13.0MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
Outputs
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
Calls

2 calls:

2.0ms
x
2.0ms
(/.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
95.3%2x
95.3%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 15 to 12 computations (20% saved)

regimes13.0ms (0.1%)

Memory
-46.2MiB live, 11.3MiB allocated
Accuracy

Total -28.0b remaining (-84.2%)

Threshold costs -28b (-84.2%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))))
Outputs
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
Calls

2 calls:

11.0ms
(/.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))))
2.0ms
x
Results
AccuracySegmentsBranch
48.0%1x
48.0%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 15 to 12 computations (20% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.7317557300477361
5.685416133992078
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.7317557300477361
5.685416133992078
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.7317557300477361
5.685416133992078
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.7317557300477361
5.685416133992078
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.7317557300477361
5.685416133992078
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-5.5877682066962935
-1.679685489054273
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.679685489054273
-1.1696477549389963
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify29.0ms (0.3%)

Memory
14.0MiB live, 92.7MiB allocated
Algorithm
1×egg-herbie
Rules
22×+-commutative-binary64-+.f64
16×sub-neg-binary64-neg.f64-+.f64--.f64
14×*-commutative-binary64-*.f64
6×neg-sub0-binary64--.f64-neg.f64
6×neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085590
1104590
2115590
3123590
4125590
Stop Event
1×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)) (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 #s(literal 4 binary64) (sqrt.f64 x) 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 -1/2 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 #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 -1/2 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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 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 -1/2 binary64)) (/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 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 -1/2 binary64)) (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal -1 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 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 -1/2 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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 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 -5 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 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 -3/2 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 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 #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)) (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 #s(literal 4 binary64) (sqrt.f64 x) 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 -1/2 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 -1/2 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)))))
(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 -1/2 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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 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 -1/2 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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 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 -1/2 binary64)) (/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 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 -1/2 binary64)) (/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 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 -1/2 binary64)) (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal -1 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 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 -1/2 binary64)) (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal -1 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 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 -1/2 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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 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 -1/2 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)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 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 -5 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 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 -5 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 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 -3/2 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) 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 -3/2 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))

soundness2.1s (19.9%)

Memory
-17.9MiB live, 1 380.1MiB allocated
Rules
19 378×lower-fma.f64
19 378×lower-fma.f32
17 886×lower-fma.f64
17 886×lower-fma.f32
11 900×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03995036
112284474
239164212
081963749
04125515
112354915
238584690
084194201
05335797
115805159
251795039
083224515
01132
01832
16932
252632
0844128
050230
073222
1327211
22377199
08999197
0131940
1372865
21058829
33148747
08504670
041210
067196
1265196
21991189
08720180
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 891 to 485 computations (45.6% saved)

preprocess102.0ms (1%)

Memory
15.0MiB live, 129.5MiB allocated
Compiler

Compiled 630 to 170 computations (73% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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