Data.Approximate.Numerics:blog from approximate-0.2.2.1

Time bar (total: 11.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
66.7%50%25%0%0%25%0%3
80%50%12.5%0%0%37.5%0%4
88.9%50%6.2%0%0%43.7%0%5
94.1%50%3.1%0%0%46.9%0%6
97%50%1.6%0%0%48.4%0%7
98.5%50%0.8%0%0%49.2%0%8
99.2%50%0.4%0%0%49.6%0%9
99.6%50%0.2%0%0%49.8%0%10
99.8%50%0.1%0%0%49.9%0%11
99.9%50%0%0%0%49.9%0%12
Compiler

Compiled 16 to 13 computations (18.8% saved)

sample1.6s (14.4%)

Memory
29.2MiB live, 1 406.1MiB allocated
Samples
1.3s8 256×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 948.0ms
ival-add: 461.0ms (48.7% of total)
ival-mult: 187.0ms (19.7% of total)
ival-div: 103.0ms (10.9% of total)
ival-sqrt: 92.0ms (9.7% of total)
ival-sub: 85.0ms (9% of total)
exact: 10.0ms (1.1% of total)
ival-true: 6.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain155.0ms (1.4%)

Memory
-32.0MiB live, 226.7MiB 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
32.0ms464×0valid
4.0ms22×2valid
3.0ms26×1valid
Compiler

Compiled 105 to 37 computations (64.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 7.0ms (27.9% of total)
ival-add: 5.0ms (19.9% of total)
ival-div: 4.0ms (15.9% of total)
ival-sqrt: 4.0ms (15.9% of total)
ival-sub: 3.0ms (12% of total)
adjust: 2.0ms (8% of total)
exact: 1.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess238.0ms (2.2%)

Memory
20.4MiB live, 99.9MiB allocated
Algorithm
egg-herbie
Rules
832×lower-fma.f64
832×lower-fma.f32
448×lower-*.f32
444×lower-*.f64
250×times-frac
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB 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 15 to 11 computations (26.7% saved)

simplify53.0ms (0.5%)

Memory
2.6MiB live, 75.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize41.0ms (0.4%)

Memory
-2.8MiB live, 82.2MiB 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)))
accuracy0.09765625
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy0.1015625
(/.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
25.0ms232×0valid
2.0ms11×2valid
2.0ms13×1valid
Compiler

Compiled 45 to 13 computations (71.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 6.0ms (35.4% of total)
ival-sub: 3.0ms (17.7% of total)
ival-div: 2.0ms (11.8% of total)
ival-add: 2.0ms (11.8% of total)
ival-sqrt: 2.0ms (11.8% 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)

series9.0ms (0.1%)

Memory
-23.5MiB live, 14.6MiB 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 (* 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 (* 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 (* 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 (* 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 (* -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 (+ 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 (/ 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 (/ -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 -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 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 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 (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 (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (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

15 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(+ (+ x 1) (* 4 (sqrt x)))
2.0ms
x
@-inf
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))
1.0ms
x
@inf
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))
1.0ms
x
@0
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))
0.0ms
x
@inf
(* 6 (- x 1))

simplify557.0ms (5.1%)

Memory
-10.5MiB live, 319.1MiB allocated
Algorithm
egg-herbie
Rules
19 378×lower-fma.f64
19 378×lower-fma.f32
4 238×lower-*.f64
4 238×lower-*.f32
3 520×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0131940
1372865
21055829
33184747
08584670
Stop Event
iter limit
node limit
Counts
60 → 58
Calls
Call 1
Inputs
-6
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* 6 x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt 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))))
(* -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 (+ 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 (/ 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 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt 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)))
Outputs
-6
#s(literal -6 binary64)
(- (* 6 x) 6)
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(- (* 6 x) 6)
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(- (* 6 x) 6)
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (- 6 (* 6 (/ 1 x))))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(* x (- 6 (* 6 (/ 1 x))))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(* x (- 6 (* 6 (/ 1 x))))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(* 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))
(+ 1 (* 4 (sqrt x)))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (+ x (* 4 (sqrt x))))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))
(+ 1 (+ x (* 4 (sqrt x))))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))
(+ 1 (+ x (* 4 (sqrt x))))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x)
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x)
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 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 #s(literal 6 binary64) (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (/.f64 (*.f64 #s(literal -6 binary64) x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #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 x (fma.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (fma.f64 #s(literal 6 binary64) (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal -6 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 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 #s(literal 6 binary64) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))))
(+ (* -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) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) x) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))
(+ (* -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 (fma.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) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) x) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.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 4 binary64))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))) (*.f64 x (*.f64 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))))
(+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(+.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 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))))
(- (* -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 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal -6 binary64) (*.f64 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 (+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #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 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))) x) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #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))
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))
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))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

rewrite659.0ms (6%)

Memory
21.0MiB live, 336.4MiB allocated
Rules
6 996×lower-fma.f64
6 996×lower-fma.f32
5 704×lower-*.f32
5 700×lower-*.f64
4 836×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
01832
16932
252632
0844128
Stop Event
iter limit
node limit
iter limit
Counts
5 → 534
Calls
Call 1
Inputs
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(-.f64 x #s(literal 1 binary64))
(sqrt.f64 x)
Outputs
(+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) x))
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64)))
(+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))
(+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))
(fma.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 1 binary64) #s(literal -6 binary64))
(neg.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)) #s(literal -6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal -6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64))))
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)) #s(literal -6 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)) #s(literal -6 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal -6 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 6 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 6 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal 6 binary64)) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)) #s(literal -6 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal -6 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)) #s(literal -6 binary64))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal -6 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 6 binary64))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 3 binary64)) #s(literal -216 binary64)) (fma.f64 (*.f64 #s(literal 6 binary64) x) (*.f64 #s(literal 6 binary64) x) (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal -216 binary64)) (fma.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) (*.f64 #s(literal 6 binary64) x)) #s(literal 36 binary64)) (-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 6 binary64))) #s(literal 36 binary64)) (-.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 6 binary64) (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal -6 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal -6 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal -6 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal -6 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 6 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64))
(*.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64)))
(*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 6 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -6 binary64))
(*.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal 6 binary64)))
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 6 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
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(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(sqrt.f64 x)
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))

eval112.0ms (1%)

Memory
2.3MiB live, 196.9MiB allocated
Compiler

Compiled 17 707 to 1 738 computations (90.2% saved)

prune117.0ms (1.1%)

Memory
1.1MiB live, 246.9MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New58111592
Fresh000
Picked101
Done000
Total58211593
Accuracy
100.0%
Counts
593 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
74.8%
(/.f64 (*.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal -16 binary64))))
99.8%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
51.6%
(/.f64 (*.f64 #s(literal 6 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))))
50.9%
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
49.0%
(/.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 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
99.7%
(*.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
99.9%
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
48.8%
#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))))
50.8%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))
Compiler

Compiled 308 to 224 computations (27.3% saved)

simplify175.0ms (1.6%)

Memory
-5.6MiB live, 107.3MiB allocated
Algorithm
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
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
cost-diff0
(/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
cost-diff128
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
cost-diff0
(*.f64 #s(literal 6 binary64) x)
cost-diff0
#s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x))
cost-diff0
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (+.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 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
cost-diff0
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
cost-diff0
(/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
cost-diff512
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
Rules
2 064×lower-fma.f32
2 060×lower-fma.f64
1 104×lower-*.f32
1 096×lower-*.f64
796×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036233
057228
199228
2155228
3190228
4277228
5469228
6968228
72156228
83498228
93827228
103915228
113962228
123982228
133984228
144180228
154302228
164452228
174452228
184452228
04452221
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
#s(literal 6 binary64)
(/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(+.f64 x (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)
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
#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 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
#s(literal 6 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#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)
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
#s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x))
(*.f64 #s(literal 6 binary64) x)
#s(literal 6 binary64)
x
(+.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 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
#s(literal -6 binary64)
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
(sqrt.f64 x)
x
#s(literal -4 binary64)
#s(literal -1 binary64)
(+.f64 x #s(literal -1 binary64))
Outputs
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.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 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
#s(literal 6 binary64)
(/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) (+.f64 x #s(literal -1 binary64)))
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
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)
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
#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 #s(literal 4 binary64) (sqrt.f64 x) #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))
(+.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)
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (+.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 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
#s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x))
(*.f64 #s(literal 6 binary64) x)
#s(literal 6 binary64)
x
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) 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 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
(/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
#s(literal -6 binary64)
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
(-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
(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))

localize263.0ms (2.4%)

Memory
14.4MiB live, 255.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(sqrt.f64 x)
accuracy0.0078125
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
accuracy0.04296875
(/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
accuracy0.05078125
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #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)))
accuracy0.1015625
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
accuracy31.449510012619765
#s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x))
accuracy0
(sqrt.f64 x)
accuracy0.09765625
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy0.1015625
(/.f64 (*.f64 #s(literal 6 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))))
accuracy30.968031149394328
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
accuracy0
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
accuracy0
(sqrt.f64 x)
accuracy0.125
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
accuracy32.76701340570556
#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
(sqrt.f64 x)
accuracy0.00390625
(/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
accuracy0.0078125
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
accuracy0.02734375
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
Samples
41.0ms232×0valid
18.0ms11×2valid
5.0ms13×1valid
Compiler

Compiled 218 to 28 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-add: 17.0ms (37.8% of total)
ival-div: 10.0ms (22.2% of total)
ival-mult: 8.0ms (17.8% of total)
ival-sqrt: 4.0ms (8.9% of total)
ival-sub: 3.0ms (6.7% 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)

series23.0ms (0.2%)

Memory
-24.2MiB live, 53.3MiB allocated
Counts
19 → 228
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #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 #s(literal 4 binary64) (sqrt.f64 x) #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 #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>) () ())
#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 #s(literal 6 binary64) x)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (+.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 #s(literal 6 binary64) x)) (patch #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 6 binary64) x) (patch (*.f64 #s(literal 6 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (patch (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #<representation binary64>) () ())
Outputs
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.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 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.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 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.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 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) (taylor inf x) (#s(alt (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) #<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 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) #<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 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) #<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 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.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 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x (+ 2 (* 4 (sqrt x))))) (* -1 (+ 1 (* 4 (sqrt x))))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (+ 1 (* 4 (sqrt x)))) (* x (- (* -1 (* x (+ 2 (* 4 (sqrt x))))) (+ 2 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (+ 1 (* 4 (sqrt x)))) (* x (- (* x (- (* -1 (* x (+ 2 (* 4 (sqrt x))))) (+ 2 (* 4 (sqrt x))))) (+ 2 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (sqrt (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x))) (taylor inf x) (#s(alt (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* 4 (sqrt (/ 1 x))) (+ (/ 1 x) (/ 1 (pow x 2))))) (+ (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x)) (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* 4 (sqrt (/ 1 x))) (+ (/ 1 x) (/ 1 (pow x 3))))) (+ (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x)) (+ (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) (pow x 3))) (* -1 (/ (- 1 (* -1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (pow x 2)))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (taylor -inf x) (#s(alt (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 2 (/ 1 x))) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (+ (* -1 (- 2 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* 2 (/ 1 x))) x))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (+ (* -1 (- 2 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)) (* 2 (/ 1 x))) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))) x))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (sqrt x))) (taylor 0 x) (#s(alt (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 4 (sqrt (/ 1 x))))) (taylor inf x) (#s(alt (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch (+.f64 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))) (taylor -inf x) (#s(alt (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch (+.f64 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 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch (+.f64 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 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (- (* -6 (/ x (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) (taylor 0 x) (#s(alt (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -6 (/ x (pow (- (* -4 (sqrt x)) 1) 3))) (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) (taylor 0 x) (#s(alt (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (- (* -6 (/ x (pow (- (* -4 (sqrt x)) 1) 4))) (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 3))))) (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) (taylor 0 x) (#s(alt (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ -6 (* x (- (* -4 (sqrt (/ 1 x))) 1))) (taylor inf x) (#s(alt (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) x)) (taylor inf x) (#s(alt (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ (* 6 (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* 6 (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ (* 6 (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))) (* 6 (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 4))))) (pow x 2))) (+ (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (/ 6 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4)))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) x)) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -4 (sqrt x)) 1) (taylor 0 x) (#s(alt (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (patch (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -4 (sqrt x)) (* -1 x)) 1) (taylor 0 x) (#s(alt (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (patch (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -4 (sqrt x)) (* -1 x)) 1) (taylor 0 x) (#s(alt (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (patch (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -4 (sqrt x)) (* -1 x)) 1) (taylor 0 x) (#s(alt (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (patch (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -4 (sqrt (/ 1 x))) 1)) (taylor inf x) (#s(alt (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (patch (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (patch (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (patch (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (patch (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (patch (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (patch (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (patch (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (patch (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
Calls

57 calls:

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

simplify313.0ms (2.9%)

Memory
-1.9MiB live, 407.9MiB allocated
Algorithm
egg-herbie
Rules
12 592×lower-fma.f64
12 592×lower-fma.f32
4 718×lower-*.f64
4 718×lower-*.f32
3 900×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04275471
112664858
240674589
089534140
Stop Event
iter limit
node limit
Counts
228 → 226
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 (/ 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 (- (* 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 (+ 1 (* 4 (sqrt x))))
(+ (* -1 (* x (+ 2 (* 4 (sqrt x))))) (* -1 (+ 1 (* 4 (sqrt x)))))
(+ (* -1 (+ 1 (* 4 (sqrt x)))) (* x (- (* -1 (* x (+ 2 (* 4 (sqrt x))))) (+ 2 (* 4 (sqrt x))))))
(+ (* -1 (+ 1 (* 4 (sqrt x)))) (* x (- (* x (- (* -1 (* x (+ 2 (* 4 (sqrt x))))) (+ 2 (* 4 (sqrt x))))) (+ 2 (* 4 (sqrt x))))))
(+ 1 (* 4 (sqrt (/ 1 x))))
(- (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x)))
(- (+ 1 (+ (* 4 (sqrt (/ 1 x))) (+ (/ 1 x) (/ 1 (pow x 2))))) (+ (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x)) (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) (pow x 2)))))
(- (+ 1 (+ (* 4 (sqrt (/ 1 x))) (+ (/ 1 x) (/ 1 (pow x 3))))) (+ (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x)) (+ (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) (pow x 3))) (* -1 (/ (- 1 (* -1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (pow x 2))))))
(* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 2 (/ 1 x))) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (+ (* -1 (- 2 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* 2 (/ 1 x))) x)))
(+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (+ (* -1 (- 2 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)) (* 2 (/ 1 x))) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))) x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt 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))))
(* -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 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt 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) (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 (+ 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 (/ 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 (- (* 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 (- (* -4 (sqrt x)) 1))
(/ 6 (- (* -4 (sqrt x)) 1))
(/ 6 (- (* -4 (sqrt x)) 1))
(/ 6 (- (* -4 (sqrt x)) 1))
(* -3/2 (sqrt (/ 1 x)))
(/ (+ 3/8 (* -3/2 (sqrt x))) x)
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x)
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x)
(* 3/2 (sqrt (/ 1 x)))
(* -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)) 1)
(- (* -4 (sqrt x)) 1)
(- (* -4 (sqrt x)) 1)
(- (* -4 (sqrt x)) 1)
(* -4 (sqrt x))
(* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))
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(* x (- (* -4 (sqrt (/ 1 x))) (/ 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))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt 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 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* 6 x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 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))))))
(/ 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 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt 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))))
(* -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 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt 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))))
(* -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 (+ 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 (/ 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 (- (* 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
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* 6 x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(/ 6 (- (* -4 (sqrt x)) 1))
(+ (* -6 (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* x (+ (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (pow (- (* -4 (sqrt x)) 1) 2))) (* -6 (/ (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (- (* -4 (sqrt x)) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(/ -6 (- (* -4 (sqrt (/ 1 x))) 1))
(- (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1)))) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(/ 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)))))))
(/ -6 (- (* -4 (sqrt x)) 1))
(- (* -6 (/ x (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(- (* x (- (* -6 (/ x (pow (- (* -4 (sqrt x)) 1) 3))) (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(- (* x (- (* x (- (* -6 (/ x (pow (- (* -4 (sqrt x)) 1) 4))) (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 3))))) (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(/ -6 (* x (- (* -4 (sqrt (/ 1 x))) 1)))
(* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) x))
(/ (- (* -1 (/ (+ (* 6 (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* 6 (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) x)
(/ (- (* -1 (/ (+ (* 6 (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))) (* 6 (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 4))))) (pow x 2))) (+ (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (/ 6 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))))) x)
(/ 6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (/ (- (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x))
(* -1 (/ (- (* -1 (/ (- (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4)))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) x)) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x))
(- (* -4 (sqrt x)) 1)
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(- (+ (* -4 (sqrt 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))))
(* -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)))))
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 x (+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))) (/.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 x (+.f64 (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))) (/.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 x (+.f64 (fma.f64 x (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #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 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 6 binary64) (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal -6 binary64))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+.f64 (+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 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))))
(+ (* -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))))))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(-.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 (+.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) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x))) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) x)) x))
(/ -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 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(fma.f64 #s(literal -6 binary64) (/.f64 x (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
(- (* x (- (* -6 (/ x (pow (- (* -4 (sqrt x)) 1) 3))) (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(fma.f64 x (fma.f64 #s(literal -6 binary64) (/.f64 x (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
(- (* x (- (* x (- (* -6 (/ x (pow (- (* -4 (sqrt x)) 1) 4))) (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 3))))) (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -6 binary64) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
(/ -6 (* x (- (* -4 (sqrt (/ 1 x))) 1)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x))
(* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) x))
(/.f64 (*.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 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (neg.f64 x))
(/ (- (* -1 (/ (+ (* 6 (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* 6 (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) x)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x))))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 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 (/ (+ (* 6 (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))) (* 6 (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 4))))) (pow x 2))) (+ (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (/ 6 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))))) x)
(/.f64 (neg.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 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (/.f64 #s(literal 6 binary64) (*.f64 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 x x)))) x)
(/ 6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x))
(* -1 (/ (- (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x))
(/.f64 (*.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 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x))))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 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 (/ (- (* -1 (/ (- (* -1 (/ (- (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4)))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) x)) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 4 binary64))))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) 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)
(- (* -4 (sqrt x)) 1)
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))
(* x (- (* -4 (sqrt (/ 1 x))) 1))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))
(fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))
(fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))
(fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))

rewrite551.0ms (5%)

Memory
14.1MiB live, 330.0MiB allocated
Rules
5 492×lower-/.f32
5 480×lower-/.f64
3 772×lower-fma.f32
3 768×lower-fma.f64
3 446×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036181
057176
1225176
21781176
08209169
Stop Event
iter limit
node limit
iter limit
Counts
19 → 788
Calls
Call 1
Inputs
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(+.f64 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(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 #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)))
(+.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 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
#s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x))
(*.f64 #s(literal 6 binary64) x)
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) x) (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) x))
(+.f64 (*.f64 x (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (*.f64 x (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) #s(literal -1 binary64))) (*.f64 #s(literal -6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))))
(fma.f64 x (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (*.f64 x (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))))
(fma.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) x (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) x))
(neg.f64 (*.f64 #s(literal -6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))))
(neg.f64 (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (neg.f64 (*.f64 x (*.f64 x x)))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (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 #s(literal -1 binary64) x))))) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) #s(literal -64 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))))) (neg.f64 (fma.f64 x #s(literal 16 binary64) (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (neg.f64 x)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (neg.f64 x))) (*.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (neg.f64 x))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)))))
(/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))) (fma.f64 x x (-.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -64 binary64))) (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (+.f64 x #s(literal -1 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (+.f64 x #s(literal -1 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (+.f64 x #s(literal -1 binary64)))))) (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (+.f64 x #s(literal -1 binary64)))))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (+.f64 x #s(literal -1 binary64)))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (+.f64 x #s(literal -1 binary64)))))) (*.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (+.f64 x #s(literal -1 binary64)))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (+.f64 x #s(literal -1 binary64))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (+.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (+.f64 x #s(literal -1 binary64)))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (+.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (+.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (+.f64 x #s(literal -1 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64))
(*.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (+.f64 x #s(literal -1 binary64)))))))
(*.f64 (*.f64 (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 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (+.f64 x #s(literal -1 binary64)))))

eval261.0ms (2.4%)

Memory
-8.9MiB live, 302.4MiB allocated
Compiler

Compiled 31 498 to 2 822 computations (91% saved)

prune386.0ms (3.5%)

Memory
4.1MiB live, 336.9MiB allocated
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1 176141 190
Fresh516
Picked415
Done000
Total1 185161 201
Accuracy
100.0%
Counts
1 201 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.6%
(/.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))))
99.8%
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
99.7%
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal -1/6 binary64)))
4.8%
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 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))))
50.9%
(/.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))))
49.0%
(/.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))))
50.8%
(/.f64 #s(literal 6 binary64) #s(approx (/ (+ x (+ (* 4 (sqrt x)) 1)) (+ x -1)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
99.7%
(*.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 #s(literal -1 binary64) x))))
99.9%
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (+.f64 x #s(literal -1 binary64)))
53.2%
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) (+.f64 x #s(literal -1 binary64)))
48.8%
#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))))
4.3%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
48.8%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))))
4.3%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))
4.3%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))))
4.2%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x))))
Compiler

Compiled 373 to 271 computations (27.3% saved)

simplify161.0ms (1.5%)

Memory
15.1MiB live, 92.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
cost-diff0
(-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)
cost-diff0
(/.f64 #s(literal -6 binary64) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x))
cost-diff128
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) (+.f64 x #s(literal -1 binary64)))
cost-diff0
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.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)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
cost-diff0
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x)
cost-diff0
#s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x)))
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x))))
cost-diff128
(neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
cost-diff0
#s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)))
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))))
cost-diff0
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)
cost-diff0
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
cost-diff0
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
cost-diff128
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (+.f64 x #s(literal -1 binary64)))
Rules
2 080×lower-fma.f32
2 072×lower-fma.f64
1 252×lower-*.f32
1 244×lower-*.f64
550×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044299
067295
1116292
2171292
3225292
4305292
5516288
61251287
72870287
83634287
93905287
103980287
113983287
123983287
134067287
144103287
154103287
164109287
04109280
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (+.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
#s(literal 6 binary64)
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
#s(literal 1 binary64)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)
#s(literal 4 binary64)
(sqrt.f64 x)
x
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))))
#s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -3/2 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x))))
#s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x)))
(neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x)
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64))
(sqrt.f64 x)
x
#s(literal -3/2 binary64)
#s(literal -3/8 binary64)
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
x
#s(literal 6 binary64)
#s(literal -6 binary64)
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #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 1 binary64)
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -6 binary64) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x))
#s(literal -6 binary64)
(-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)
#s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
(sqrt.f64 x)
x
#s(literal -4 binary64)
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
#s(literal 6 binary64)
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
#s(literal 1 binary64)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)
#s(literal 4 binary64)
(sqrt.f64 x)
x
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))))
#s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -3/2 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x)))
#s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x)))
#s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x))
(neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x)
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x)
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64))
(sqrt.f64 x)
x
#s(literal -3/2 binary64)
#s(literal -3/8 binary64)
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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))))
(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)
#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 1 binary64)
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (-.f64 x #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 #s(literal -6 binary64) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x))
(/.f64 #s(literal 6 binary64) (-.f64 x #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
#s(literal -6 binary64)
(-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)
#s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
(sqrt.f64 x)
x
#s(literal -4 binary64)
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)

localize158.0ms (1.4%)

Memory
-25.5MiB live, 249.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)
accuracy0.04296875
(/.f64 #s(literal -6 binary64) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x))
accuracy0.05078125
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) (+.f64 x #s(literal -1 binary64)))
accuracy30.642621207554864
#s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
accuracy0
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
accuracy0
(sqrt.f64 x)
accuracy0.1015625
(/.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))))
accuracy30.968031149394328
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
accuracy0.125
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64))
accuracy0.125
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x)
accuracy32.76701340570556
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x))))
accuracy62.930749230763794
#s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x)))
accuracy0.125
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy0.27734375
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
accuracy30.64080969699468
#s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)))
accuracy32.76701340570556
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))))
accuracy0
(sqrt.f64 x)
accuracy0.00390625
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)
accuracy0.04296875
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
accuracy0.05078125
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (+.f64 x #s(literal -1 binary64)))
Samples
97.0ms232×0valid
8.0ms11×2valid
6.0ms13×1valid
Compiler

Compiled 229 to 40 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-div: 27.0ms (44.4% of total)
ival-mult: 12.0ms (19.7% of total)
ival-add: 11.0ms (18.1% of total)
ival-sqrt: 4.0ms (6.6% of total)
adjust: 2.0ms (3.3% of total)
ival-sub: 2.0ms (3.3% of total)
exact: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory
16.5MiB live, 53.3MiB allocated
Counts
22 → 264
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (+.f64 x #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (patch (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) (patch (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))) (patch #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 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 (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x)) (patch (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x)))) #<representation binary64>) () ())
#s(alt #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x))) (patch #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x) (patch (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.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 #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 (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 #s(literal -6 binary64) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) (+.f64 x #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -6 binary64) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -6 binary64) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) (patch (/.f64 #s(literal -6 binary64) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) (patch (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (patch #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (+.f64 x #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (+.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) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (+.f64 x #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (+.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) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (+.f64 x #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (+.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) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (+.f64 x #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (+.f64 x #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (patch #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 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 (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (- (* -3/2 (sqrt x)) 3/8) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/2 (sqrt x)) 3/8) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/2 (sqrt x)) 3/8) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/2 (sqrt x)) 3/8) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (sqrt x)) (taylor inf x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/2 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
Calls

66 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ (+ (* (sqrt x) -3/2) -3/8) x)
1.0ms
x
@-inf
(/ (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x))))
1.0ms
x
@inf
(/ (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x))))
1.0ms
x
@-inf
(neg (/ (+ (* (sqrt x) -3/2) -3/8) x))
1.0ms
x
@-inf
(/ 6 (+ 1 (+ (* 4 (sqrt x)) x)))

simplify329.0ms (3%)

Memory
3.2MiB live, 472.7MiB allocated
Algorithm
egg-herbie
Rules
11 696×lower-fma.f64
11 696×lower-fma.f32
5 108×lower-*.f64
5 108×lower-*.f32
2 964×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05065999
115025352
247195238
088094735
Stop Event
iter limit
node limit
Counts
264 → 264
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 (/ 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 (- (* 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 (+ 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))))))
(/ 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)
(/ -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 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt 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))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* 4 (sqrt x))
(+ x (* 4 (sqrt x)))
(+ x (* 4 (sqrt x)))
(+ x (* 4 (sqrt x)))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(/ -6 (+ 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 (/ 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 (- (* 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 (- (* -4 (sqrt x)) 1))
(/ 6 (- (* -4 (sqrt x)) 1))
(/ 6 (- (* -4 (sqrt x)) 1))
(/ 6 (- (* -4 (sqrt x)) 1))
(* -3/2 (sqrt (/ 1 x)))
(/ (+ 3/8 (* -3/2 (sqrt x))) x)
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x)
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x)
(* 3/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ (- 3/8 (* -3/2 (sqrt x))) x)
(/ (- 3/8 (* -3/2 (sqrt x))) x)
(/ (- 3/8 (* -3/2 (sqrt x))) x)
(/ (- 3/8 (* -3/2 (sqrt x))) x)
(* 3/2 (sqrt (/ 1 x)))
(- (* 3/8 (/ 1 x)) (* -3/2 (sqrt (/ 1 x))))
(- (* 3/8 (/ 1 x)) (* -3/2 (sqrt (/ 1 x))))
(- (* 3/8 (/ 1 x)) (* -3/2 (sqrt (/ 1 x))))
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (* 3/8 (/ 1 x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(- (* 3/8 (/ 1 x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(- (* 3/8 (/ 1 x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(/ -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 (/ 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 (- (* 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 (- (* -4 (sqrt x)) 1))
(/ 6 (- (* -4 (sqrt x)) 1))
(/ 6 (- (* -4 (sqrt x)) 1))
(/ 6 (- (* -4 (sqrt x)) 1))
(* -3/2 (sqrt (/ 1 x)))
(/ (+ 3/8 (* -3/2 (sqrt x))) x)
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x)
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x)
(* 3/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x))
(/ (- (* -3/2 (sqrt x)) 3/8) x)
(/ (- (* -3/2 (sqrt x)) 3/8) x)
(/ (- (* -3/2 (sqrt x)) 3/8) x)
(/ (- (* -3/2 (sqrt x)) 3/8) x)
(* -3/2 (sqrt (/ 1 x)))
(- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))
(- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))
(- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))
(* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))
(- (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))
(- (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))
(/ -6 (+ 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 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))))
(- (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
-6
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* 6 x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt 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))))
(* -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 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt 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) (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 x)) 1))
(+ (* -6 (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* x (+ (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (pow (- (* -4 (sqrt x)) 1) 2))) (* -6 (/ (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (- (* -4 (sqrt x)) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(/ -6 (- (* -4 (sqrt (/ 1 x))) 1))
(- (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1)))) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(/ 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)))))))
(/ -6 (- (* -4 (sqrt x)) 1))
(- (* -6 (/ x (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(- (* x (- (* -6 (/ x (pow (- (* -4 (sqrt x)) 1) 3))) (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(- (* x (- (* x (- (* -6 (/ x (pow (- (* -4 (sqrt x)) 1) 4))) (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 3))))) (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(/ -6 (* x (- (* -4 (sqrt (/ 1 x))) 1)))
(* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) x))
(/ (- (* -1 (/ (+ (* 6 (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* 6 (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) x)
(/ (- (* -1 (/ (+ (* 6 (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))) (* 6 (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 4))))) (pow x 2))) (+ (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (/ 6 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))))) x)
(/ 6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (/ (- (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x))
(* -1 (/ (- (* -1 (/ (- (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4)))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) x)) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x))
(- (* -4 (sqrt x)) 1)
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(- (+ (* -4 (sqrt 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))))
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(- (* -4 (sqrt x)) 1)
(- (* -4 (sqrt x)) 1)
(- (* -4 (sqrt x)) 1)
(- (* -4 (sqrt x)) 1)
(* -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) (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))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt 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)))
(- (* -3/2 (sqrt x)) 3/8)
(- (* -3/2 (sqrt x)) 3/8)
(- (* -3/2 (sqrt x)) 3/8)
(- (* -3/2 (sqrt x)) 3/8)
(* -3/2 (sqrt x))
(* x (- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))
(* x (- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))
(* x (- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))
(* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))
(* -1 (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))
(* -1 (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))
Outputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 x (+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 x (-.f64 (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (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))))
(- (* 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 (+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (fma.f64 x (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+.f64 (+.f64 (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 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))))
(+ (* -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))))))))
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(fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))
(fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* -4 (sqrt x)) 1)
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
(- (* -4 (sqrt x)) 1)
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
(- (* -4 (sqrt x)) 1)
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
(- (* -4 (sqrt x)) 1)
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
(* -4 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
(* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(fma.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)) #s(literal -1 binary64))
(* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(fma.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)) #s(literal -1 binary64))
(* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(fma.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)) #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 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)) #s(literal -1 binary64))
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(fma.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)) #s(literal -1 binary64))
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(fma.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)) #s(literal -1 binary64))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(- (* -3/2 (sqrt x)) 3/8)
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64))
(- (* -3/2 (sqrt x)) 3/8)
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64))
(- (* -3/2 (sqrt x)) 3/8)
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64))
(- (* -3/2 (sqrt x)) 3/8)
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64))
(* -3/2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(* x (- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))
(fma.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) #s(literal -3/8 binary64))
(* x (- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))
(fma.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) #s(literal -3/8 binary64))
(* x (- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))
(fma.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) #s(literal -3/8 binary64))
(* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(* -1 (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))
(fma.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) #s(literal -3/8 binary64))
(* -1 (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))
(fma.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) #s(literal -3/8 binary64))
(* -1 (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))
(fma.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) #s(literal -3/8 binary64))

rewrite360.0ms (3.3%)

Memory
36.0MiB live, 509.3MiB allocated
Rules
5 164×lower-/.f32
5 154×lower-/.f64
4 272×lower-*.f32
4 264×lower-*.f64
3 800×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044260
067256
1277246
22202246
08872237
Stop Event
iter limit
node limit
iter limit
Counts
22 → 826
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (+.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))))
#s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x))))
#s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x)))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x)
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
#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))
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -6 binary64) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x))
(-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)
#s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(sqrt.f64 x)
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64))
Outputs
(+.f64 (/.f64 (*.f64 #s(literal 6 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 #s(literal 6 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 6 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (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))) (/.f64 (/.f64 #s(literal 36 binary64) (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))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 6 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 #s(literal 6 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))) (/.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)))) (/.f64 (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))) (/.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 #s(literal 6 binary64) (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) x) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 6 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 x (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) x (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 6 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 #s(literal 6 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 #s(literal 6 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (/.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) #s(literal 6 binary64) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 x (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 16 binary64)))) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 x (fma.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 16 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) #s(literal 1 binary64))) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 16 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 6 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 16 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(neg.f64 (*.f64 #s(literal -6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))))
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(/.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27/8 binary64) #s(literal -27/512 binary64)) (-.f64 (fma.f64 x #s(literal 9/4 binary64) #s(literal 9/64 binary64)) (*.f64 (sqrt.f64 x) #s(literal 9/16 binary64))))
(/.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27/8 binary64) #s(literal -27/512 binary64)) (+.f64 #s(literal 9/64 binary64) (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 (sqrt.f64 x) #s(literal 9/16 binary64)))))
(/.f64 (fma.f64 x #s(literal 9/4 binary64) #s(literal -9/64 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27/8 binary64) #s(literal -27/512 binary64))) (neg.f64 (-.f64 (fma.f64 x #s(literal 9/4 binary64) #s(literal 9/64 binary64)) (*.f64 (sqrt.f64 x) #s(literal 9/16 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27/8 binary64) #s(literal -27/512 binary64))) (neg.f64 (+.f64 #s(literal 9/64 binary64) (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 (sqrt.f64 x) #s(literal 9/16 binary64))))))
(/.f64 (neg.f64 (fma.f64 x #s(literal 9/4 binary64) #s(literal -9/64 binary64))) (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64))))
(/.f64 (-.f64 #s(literal 9/64 binary64) (*.f64 x #s(literal 9/4 binary64))) (-.f64 #s(literal -3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 9/4 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) #s(literal 9/64 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27/8 binary64) #s(literal -27/512 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x #s(literal 9/4 binary64) #s(literal 9/64 binary64)) (*.f64 (sqrt.f64 x) #s(literal 9/16 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal 9/4 binary64) #s(literal -9/64 binary64)))) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 9/64 binary64) (*.f64 x #s(literal 9/4 binary64)))) (neg.f64 (-.f64 #s(literal -3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 x #s(literal 9/4 binary64) #s(literal 9/64 binary64)) (*.f64 (sqrt.f64 x) #s(literal 9/16 binary64))) (fma.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27/8 binary64) #s(literal -27/512 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) (fma.f64 x #s(literal 9/4 binary64) #s(literal -9/64 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27/8 binary64) #s(literal -27/512 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal 9/4 binary64) #s(literal 9/64 binary64)) (*.f64 (sqrt.f64 x) #s(literal 9/16 binary64)))))
(*.f64 (fma.f64 x #s(literal 9/4 binary64) #s(literal -9/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64))))

eval189.0ms (1.7%)

Memory
-2.1MiB live, 358.4MiB allocated
Compiler

Compiled 29 396 to 2 998 computations (89.8% saved)

prune236.0ms (2.1%)

Memory
-11.1MiB live, 320.8MiB allocated
Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New1 15571 162
Fresh3710
Picked145
Done011
Total1 159191 178
Accuracy
100.0%
Counts
1 178 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.6%
(/.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))))
99.8%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
7.0%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
53.1%
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x))
99.7%
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal -1/6 binary64)))
4.8%
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 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))))
50.9%
(/.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))))
49.0%
(/.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))))
50.8%
(/.f64 #s(literal 6 binary64) #s(approx (/ (+ x (+ (* 4 (sqrt x)) 1)) (+ x -1)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
99.7%
(*.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 #s(literal -1 binary64) x))))
99.9%
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (+.f64 x #s(literal -1 binary64)))
53.2%
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) (+.f64 x #s(literal -1 binary64)))
48.8%
#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))))
48.8%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))))
4.2%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x)))
4.3%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
4.3%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))))
4.3%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))
4.3%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))))
Compiler

Compiled 388 to 275 computations (29.1% saved)

simplify399.0ms (3.6%)

Memory
-15.3MiB live, 61.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)))
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))))
cost-diff320
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
cost-diff0
#s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
cost-diff0
#s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
cost-diff0
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
cost-diff0
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
cost-diff0
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64))
cost-diff0
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x)
cost-diff0
#s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x))
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
cost-diff0
#s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
cost-diff0
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
cost-diff0
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
cost-diff0
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
cost-diff0
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
Rules
3 136×lower-fma.f32
3 126×lower-fma.f64
1 968×lower-*.f32
1 964×lower-*.f64
700×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044305
064306
198295
2135293
3189293
4255293
5347293
6494293
7804293
81383293
91867293
102977293
114053293
124467293
134666293
144828293
154838293
164918293
174960293
184960293
194960293
205040293
215376293
225644293
235648293
245680293
255704293
265704293
275752293
285987293
295987293
05987284
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
x
#s(literal 6 binary64)
#s(literal -6 binary64)
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
#s(literal 1 binary64)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)
#s(literal 4 binary64)
(sqrt.f64 x)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
#s(literal -3/2 binary64)
(sqrt.f64 x)
x
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x)))
#s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x)
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64))
(sqrt.f64 x)
x
#s(literal 3/2 binary64)
#s(literal 3/8 binary64)
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
x
#s(literal 6 binary64)
#s(literal -6 binary64)
#s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
#s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
#s(literal 4 binary64)
(sqrt.f64 x)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)))
#s(literal 6 binary64)
(fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))
x
#s(literal 16 binary64)
#s(literal -1 binary64)
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal -4 binary64)
#s(literal 1 binary64)
Outputs
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
(/.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) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
x
#s(literal 6 binary64)
#s(literal -6 binary64)
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)
#s(literal 4 binary64)
(sqrt.f64 x)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
#s(literal -3/2 binary64)
(sqrt.f64 x)
x
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x)))
#s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x)
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64))
(sqrt.f64 x)
x
#s(literal 3/2 binary64)
#s(literal 3/8 binary64)
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
x
#s(literal 6 binary64)
#s(literal -6 binary64)
#s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
#s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
#s(literal 4 binary64)
(sqrt.f64 x)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 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 (fma.f64 (sqrt.f64 x) #s(literal -24 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -24 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)))
#s(literal 6 binary64)
(fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))
x
#s(literal 16 binary64)
#s(literal -1 binary64)
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal -4 binary64)
#s(literal 1 binary64)

localize284.0ms (2.6%)

Memory
21.1MiB live, 174.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(sqrt.f64 x)
accuracy0.00390625
(/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)))
accuracy0.203125
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
accuracy32.76701340570556
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))))
accuracy0
(sqrt.f64 x)
accuracy0.1015625
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
accuracy30.642621207554864
#s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
accuracy30.968031149394328
#s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
accuracy0.125
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64))
accuracy0.125
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x)
accuracy32.76701340570556
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x)))
accuracy62.930749230763794
#s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x))
accuracy0
(sqrt.f64 x)
accuracy0.21484375
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
accuracy30.64080969699468
#s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))
accuracy32.76701340570556
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
accuracy0
(sqrt.f64 x)
accuracy0
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
accuracy0.00390625
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)
accuracy0.1015625
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
Samples
124.0ms232×0valid
6.0ms11×2valid
6.0ms13×1valid
Compiler

Compiled 218 to 38 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-add: 12.0ms (30.3% of total)
ival-mult: 11.0ms (27.8% of total)
ival-div: 10.0ms (25.3% of total)
adjust: 2.0ms (5.1% of total)
ival-sqrt: 2.0ms (5.1% of total)
ival-sub: 1.0ms (2.5% of total)
exact: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series89.0ms (0.8%)

Memory
-7.7MiB live, 29.8MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (patch #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) (patch (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) (patch #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x)) (patch #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x) (patch (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 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 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 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 x #s(literal 16 binary64) #s(literal -1 binary64))) (patch (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) (patch (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #<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)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) #<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)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) #<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)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) #<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)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) #<representation binary64>) () ())) ())
#s(alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) #<representation binary64>) () ())) ())
#s(alt (- (/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) #<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 (* 6 x) (taylor inf 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 (* x (- 6 (* 6 (/ 1 x)))) (taylor inf 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 (* x (- 6 (* 6 (/ 1 x)))) (taylor inf 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 (* x (- 6 (* 6 (/ 1 x)))) (taylor inf 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) (taylor -inf 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 (* x (- (* 6 (/ 1 x)) 6))) (taylor -inf 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 (* x (- (* 6 (/ 1 x)) 6))) (taylor -inf 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 (* x (- (* 6 (/ 1 x)) 6))) (taylor -inf 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 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (patch #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (patch #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (patch #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (patch #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (/ 1 x) 16))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) (patch (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 16))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) (patch (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (sqrt x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 4 (sqrt x))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 4 (sqrt x))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 4 (sqrt x))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 4 (sqrt (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 4 (sqrt (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 4 (sqrt (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 4 (sqrt (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #<representation binary64>) () ())) ())
Calls

60 calls:

TimeVariablePointExpression
71.0ms
x
@inf
(* (/ 6 (+ (* x 16) -1)) (+ (* (sqrt x) -4) 1))
3.0ms
x
@-inf
(/ -3/2 (sqrt x))
1.0ms
x
@-inf
(* (/ 6 (+ (* x 16) -1)) (+ (* (sqrt x) -4) 1))
1.0ms
x
@0
(/ (+ (* (sqrt x) 3/2) 3/8) x)
1.0ms
x
@-inf
(/ (+ (* (sqrt x) 3/2) 3/8) x)

simplify509.0ms (4.6%)

Memory
9.0MiB live, 329.4MiB allocated
Algorithm
egg-herbie
Rules
12 660×lower-fma.f64
12 660×lower-fma.f32
4 624×lower-+.f64
4 624×lower-+.f32
4 386×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03825493
111114744
232654624
084664165
Stop Event
iter limit
node limit
Counts
240 → 240
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 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))))
(- (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
-6
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* 6 x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt 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))))
(* -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 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt 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))))
(* -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 (+ 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 (/ 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 (- (* 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 (- (* -4 (sqrt x)) 1))
(/ 6 (- (* -4 (sqrt x)) 1))
(/ 6 (- (* -4 (sqrt x)) 1))
(/ 6 (- (* -4 (sqrt x)) 1))
(* -3/2 (sqrt (/ 1 x)))
(/ (+ 3/8 (* -3/2 (sqrt x))) x)
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x)
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x)
(* 3/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt 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 (+ 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 (/ 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 (- (* 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 (- (* -4 (sqrt x)) 1))
(/ 6 (- (* -4 (sqrt x)) 1))
(/ 6 (- (* -4 (sqrt x)) 1))
(/ 6 (- (* -4 (sqrt x)) 1))
(* -3/2 (sqrt (/ 1 x)))
(/ (+ 3/8 (* -3/2 (sqrt x))) x)
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x)
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x)
(* 3/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x))
(/ (+ 3/8 (* 3/2 (sqrt x))) x)
(/ (+ 3/8 (* 3/2 (sqrt x))) x)
(/ (+ 3/8 (* 3/2 (sqrt x))) x)
(/ (+ 3/8 (* 3/2 (sqrt x))) x)
(* 3/2 (sqrt (/ 1 x)))
(+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))
(+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))
(+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))
(+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))
(+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))
(+ 3/8 (* 3/2 (sqrt x)))
(+ 3/8 (* 3/2 (sqrt x)))
(+ 3/8 (* 3/2 (sqrt x)))
(+ 3/8 (* 3/2 (sqrt x)))
(* 3/2 (sqrt x))
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))
(* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))
(* -1 (* x (- (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))
(* -1 (* x (- (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))
(/ -6 (+ 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 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))))
(- (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt 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))))
(* -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 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt 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) (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 (+ 1 (* -4 (sqrt x))))
(+ (* -96 (* x (+ 1 (* -4 (sqrt x))))) (* -6 (+ 1 (* -4 (sqrt x)))))
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (+ (* -1536 (* x (+ 1 (* -4 (sqrt x))))) (* -96 (+ 1 (* -4 (sqrt x)))))))
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (+ (* -96 (+ 1 (* -4 (sqrt x)))) (* x (+ (* -24576 (* x (+ 1 (* -4 (sqrt x))))) (* -1536 (+ 1 (* -4 (sqrt x)))))))))
(* -3/2 (sqrt (/ 1 x)))
(+ (* -3/2 (sqrt (/ 1 x))) (* 6 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) x)))
(+ (* -3/2 (sqrt (/ 1 x))) (+ (* 3/8 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) (pow x 2))) (* 6 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) x))))
(+ (* -3/2 (sqrt (/ 1 x))) (+ (* 3/128 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) (pow x 3))) (+ (* 3/8 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) (pow x 2))) (* 6 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) x)))))
(* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))
(+ (* -1 (/ (+ (* -6 (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -3/8 (/ (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -6 (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -1 (/ (+ (* 3/128 (/ (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 3/8 (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(/ -6 (+ 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 (/ 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 (- (* 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
(- (* -96 x) 6)
(- (* x (- (* -1536 x) 96)) 6)
(- (* x (- (* x (- (* -24576 x) 1536)) 96)) 6)
(/ 3/8 x)
(/ (+ 3/8 (* 3/128 (/ 1 x))) x)
(/ (+ 3/8 (+ (/ 3/2048 (pow x 2)) (* 3/128 (/ 1 x)))) x)
(/ (+ 3/8 (+ (/ 3/2048 (pow x 2)) (+ (* 3/128 (/ 1 x)) (* 3/32768 (/ 1 (pow x 3)))))) x)
(/ 3/8 x)
(/ (+ 3/8 (* 3/128 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 3/128 (* 3/2048 (/ 1 x))) x)) 3/8) x))
(* -1 (/ (- (* -1 (/ (+ 3/128 (+ (/ 3/32768 (pow x 2)) (* 3/2048 (/ 1 x)))) x)) 3/8) x))
-1
(- (* 16 x) 1)
(- (* 16 x) 1)
(- (* 16 x) 1)
(* 16 x)
(* x (- 16 (/ 1 x)))
(* x (- 16 (/ 1 x)))
(* x (- 16 (/ 1 x)))
(* 16 x)
(* -1 (* x (- (/ 1 x) 16)))
(* -1 (* x (- (/ 1 x) 16)))
(* -1 (* x (- (/ 1 x) 16)))
(* 4 (sqrt x))
(+ x (* 4 (sqrt x)))
(+ x (* 4 (sqrt x)))
(+ x (* 4 (sqrt x)))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
Outputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 #s(literal -6 binary64) (+.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 x (fma.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 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 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) x))
(- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))
(+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (+.f64 (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)))))
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))))
(+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 4 binary64)))) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (/.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) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #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 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (-.f64 #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)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))
(- (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(-.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 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))) (-.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 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))) x))
(- (* -1 (/ (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(-.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (-.f64 (/.f64 (neg.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))))) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))) (-.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 #s(literal -6 binary64) (*.f64 x (*.f64 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))))))) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (-.f64 #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
#s(literal -6 binary64)
(- (* 6 x) 6)
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-6
#s(literal -6 binary64)
(- (* -96 x) 6)
(fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64))
(- (* x (- (* -1536 x) 96)) 6)
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(- (* x (- (* x (- (* -24576 x) 1536)) 96)) 6)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -24576 binary64) #s(literal -1536 binary64)) #s(literal -96 binary64)) #s(literal -6 binary64))
(/ 3/8 x)
(/.f64 #s(literal 3/8 binary64) x)
(/ (+ 3/8 (* 3/128 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 3/128 binary64) x)) x)
(/ (+ 3/8 (+ (/ 3/2048 (pow x 2)) (* 3/128 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal 3/8 binary64) (+.f64 (/.f64 #s(literal 3/128 binary64) x) (/.f64 #s(literal 3/2048 binary64) (*.f64 x x)))) x)
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(/ 3/8 x)
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(/ (+ 3/8 (* 3/128 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 3/128 binary64) x)) x)
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-1
#s(literal -1 binary64)
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(- (* 16 x) 1)
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(* 4 (sqrt x))
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(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (neg.f64 x))

rewrite501.0ms (4.6%)

Memory
-4.8MiB live, 466.7MiB allocated
Rules
5 042×lower-fma.f32
5 032×lower-fma.f64
4 874×lower-/.f32
4 864×lower-/.f64
4 142×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044264
064261
1259250
21992243
09093237
Stop Event
iter limit
node limit
iter limit
Counts
20 → 607
Calls
Call 1
Inputs
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x)))
#s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x)
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
#s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
#s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 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 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)))
(fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (neg.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (*.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64)))) (/.f64 #s(literal 36 binary64) (*.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64)))))
(neg.f64 (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (neg.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))))
(neg.f64 (/.f64 (*.f64 #s(literal -6 binary64) (+.f64 x #s(literal -1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal -6 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64) #s(literal -216 binary64)) (*.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal 36 binary64)) (*.f64 x #s(literal -36 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal -36 binary64)) (*.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64) #s(literal -216 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal 36 binary64)) (*.f64 x #s(literal -36 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal -36 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal -6 binary64) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (neg.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64) #s(literal -216 binary64))) (neg.f64 (*.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal 36 binary64)) (*.f64 x #s(literal -36 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal -36 binary64))) (neg.f64 (*.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64)))))
(/.f64 (*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64) #s(literal -216 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal 36 binary64)) (*.f64 x #s(literal -36 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64) #s(literal -216 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal 36 binary64)) (*.f64 x #s(literal -36 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal -36 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -6 binary64) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(literal 1 binary64))) (neg.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64) #s(literal -216 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal 36 binary64)) (*.f64 x #s(literal -36 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))) (neg.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))))
(pow.f64 (/.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))
(*.f64 #s(literal -6 binary64) (/.f64 (neg.f64 (+.f64 x #s(literal -1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))
(*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))
(*.f64 (*.f64 #s(literal -6 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64) #s(literal -216 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal 36 binary64)) (*.f64 x #s(literal -36 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal -36 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))
(*.f64 (/.f64 (neg.f64 (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64)))
(+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))))
(-.f64 (/.f64 #s(literal 36 binary64) (-.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64)))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal 36 binary64)) (*.f64 x #s(literal -36 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64) #s(literal -216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64)) (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal -36 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal 36 binary64)) (*.f64 x #s(literal -36 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64) #s(literal -216 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64)) (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal -36 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64) #s(literal -216 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal 36 binary64)) (*.f64 x #s(literal -36 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64) #s(literal -216 binary64)) (+.f64 #s(literal 36 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (*.f64 x #s(literal -36 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal -36 binary64)) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64) #s(literal -216 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal 36 binary64)) (*.f64 x #s(literal -36 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64) #s(literal -216 binary64))) (neg.f64 (+.f64 #s(literal 36 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (*.f64 x #s(literal -36 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal -36 binary64))) (neg.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))))
(/.f64 (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 36 binary64))) (-.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64))))
(/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))) (*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64)) #s(literal 36 binary64))) (*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64) #s(literal -216 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal 36 binary64)) (*.f64 x #s(literal -36 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal -36 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 36 binary64)))) (neg.f64 (-.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
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(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 256 binary64)) (*.f64 x #s(literal -16 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 256 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 x #s(literal 16 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 256 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 256 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 16 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 256 binary64)) (fma.f64 x #s(literal 16 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 x #s(literal 16 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x #s(literal 16 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 16 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 256 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 256 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal -16 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 256 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 16 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 256 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 16 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 256 binary64)) (fma.f64 x #s(literal 16 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 256 binary64)) (fma.f64 x #s(literal 16 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 256 binary64)) (fma.f64 x #s(literal 16 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 256 binary64)) (fma.f64 x #s(literal 16 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal 1 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 256 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal -16 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal 16 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 256 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 256 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal -16 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 256 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))
(+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)
(-.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 x #s(literal 16 binary64)) (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)
(fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64) x)
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 x #s(literal 16 binary64))) (fma.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 x #s(literal 16 binary64))) (fma.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x)))))
(/.f64 (fma.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 x #s(literal 16 binary64))))
(/.f64 (fma.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)) (*.f64 x (*.f64 x x))) (fma.f64 x x (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(/.f64 (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 x #s(literal 16 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x #s(literal 16 binary64))) (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 x #s(literal 16 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x))) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 16 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 x #s(literal 16 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x #s(literal 16 binary64)))) (neg.f64 (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 x #s(literal 16 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x)))) (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) (/.f64 (*.f64 x #s(literal 16 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) (*.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x))))))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 x #s(literal 16 binary64))) (fma.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
(*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 x #s(literal 16 binary64)))))
(*.f64 (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)))

eval242.0ms (2.2%)

Memory
8.1MiB live, 375.3MiB allocated
Compiler

Compiled 22 774 to 2 181 computations (90.4% saved)

prune148.0ms (1.4%)

Memory
2.4MiB live, 401.1MiB allocated
Pruning

20 alts after pruning (14 fresh and 6 done)

PrunedKeptTotal
New9879996
Fresh459
Picked235
Done235
Total995201 015
Accuracy
100.0%
Counts
1 015 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.6%
(/.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))))
99.8%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
7.0%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
53.1%
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x))
99.7%
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal -1/6 binary64)))
4.8%
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 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))))
50.9%
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
4.6%
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
49.0%
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
50.8%
(/.f64 #s(literal 6 binary64) #s(approx (/ (+ x (+ (* 4 (sqrt x)) 1)) (+ x -1)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
99.7%
(*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))
99.9%
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (+.f64 x #s(literal -1 binary64)))
53.2%
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) (+.f64 x #s(literal -1 binary64)))
7.0%
(*.f64 #s(literal 6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
50.5%
#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))))
50.3%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ 6 (+ (* x 16) -1)) (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))))
4.2%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x)))
4.3%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(approx (+ (* (sqrt x) 3/2) 3/8) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))) x)))
4.3%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))
51.4%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ 6 (+ (* x 16) -1)) (+ (* (sqrt x) -4) 1)) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))))
Compiler

Compiled 724 to 273 computations (62.3% saved)

regimes28.0ms (0.3%)

Memory
-19.2MiB live, 64.6MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ 6 (+ (* x 16) -1)) (+ (* (sqrt x) -4) 1)) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(approx (+ (* (sqrt x) 3/2) 3/8) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ 6 (+ (* x 16) -1)) (fma.f64 x #s(literal -96 binary64) #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))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x))))
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.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))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 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(approx (+ (* x 6) -6) (*.f64 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 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.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 #s(literal 6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
(/.f64 (*.f64 #s(literal 6 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))))
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x))
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (+.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 6 binary64) #s(approx (/ (+ x (+ (* 4 (sqrt x)) 1)) (+ x -1)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 #s(literal -1 binary64) x)) #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 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(*.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 #s(literal -1 binary64) x))))
(*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal -16 binary64))))
Outputs
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
Calls

2 calls:

15.0ms
x
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))))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes36.0ms (0.3%)

Memory
-7.6MiB live, 31.5MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ 6 (+ (* x 16) -1)) (+ (* (sqrt x) -4) 1)) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(approx (+ (* (sqrt x) 3/2) 3/8) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ 6 (+ (* x 16) -1)) (fma.f64 x #s(literal -96 binary64) #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))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x))))
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.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))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 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(approx (+ (* x 6) -6) (*.f64 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 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.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 #s(literal 6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
(/.f64 (*.f64 #s(literal 6 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))))
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x))
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (+.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 6 binary64) #s(approx (/ (+ x (+ (* 4 (sqrt x)) 1)) (+ x -1)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 #s(literal -1 binary64) x)) #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 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(*.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 #s(literal -1 binary64) x))))
(*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))
Outputs
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (+.f64 x #s(literal -1 binary64)))
Calls

2 calls:

26.0ms
x
9.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes18.0ms (0.2%)

Memory
28.5MiB live, 28.5MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ 6 (+ (* x 16) -1)) (+ (* (sqrt x) -4) 1)) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(approx (+ (* (sqrt x) 3/2) 3/8) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ 6 (+ (* x 16) -1)) (fma.f64 x #s(literal -96 binary64) #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))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x))))
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.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))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 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(approx (+ (* x 6) -6) (*.f64 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 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.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 #s(literal 6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
(/.f64 (*.f64 #s(literal 6 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))))
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x))
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
Outputs
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
Calls

2 calls:

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

Compiled 17 to 12 computations (29.4% saved)

regimes65.0ms (0.6%)

Memory
-14.1MiB live, 25.1MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ 6 (+ (* x 16) -1)) (+ (* (sqrt x) -4) 1)) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(approx (+ (* (sqrt x) 3/2) 3/8) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ 6 (+ (* x 16) -1)) (fma.f64 x #s(literal -96 binary64) #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))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x))))
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.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))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 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(approx (+ (* x 6) -6) (*.f64 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 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.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 #s(literal 6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
(/.f64 (*.f64 #s(literal 6 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))))
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x))
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))
Outputs
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
Calls

2 calls:

54.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
9.0ms
x
Results
AccuracySegmentsBranch
99.8%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 17 to 12 computations (29.4% saved)

regimes17.0ms (0.2%)

Memory
-13.3MiB live, 23.4MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ 6 (+ (* x 16) -1)) (+ (* (sqrt x) -4) 1)) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(approx (+ (* (sqrt x) 3/2) 3/8) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ 6 (+ (* x 16) -1)) (fma.f64 x #s(literal -96 binary64) #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))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x))))
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.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))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 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(approx (+ (* x 6) -6) (*.f64 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 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.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 #s(literal 6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
(/.f64 (*.f64 #s(literal 6 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))))
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x))
Outputs
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x))
Calls

2 calls:

7.0ms
x
6.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
97.7%2x
97.7%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 17 to 12 computations (29.4% saved)

regimes14.0ms (0.1%)

Memory
29.0MiB live, 29.0MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ 6 (+ (* x 16) -1)) (+ (* (sqrt x) -4) 1)) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(approx (+ (* (sqrt x) 3/2) 3/8) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ 6 (+ (* x 16) -1)) (fma.f64 x #s(literal -96 binary64) #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))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x))))
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.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))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 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(approx (+ (* x 6) -6) (*.f64 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 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.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 #s(literal 6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
(/.f64 (*.f64 #s(literal 6 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
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
(/.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))))
Calls

2 calls:

7.0ms
x
6.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
97.7%2x
97.7%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 17 to 12 computations (29.4% saved)

regimes16.0ms (0.1%)

Memory
-16.8MiB live, 23.2MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ 6 (+ (* x 16) -1)) (+ (* (sqrt x) -4) 1)) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(approx (+ (* (sqrt x) 3/2) 3/8) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ 6 (+ (* x 16) -1)) (fma.f64 x #s(literal -96 binary64) #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))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x))))
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.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))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 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(approx (+ (* x 6) -6) (*.f64 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 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.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 #s(literal 6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
Outputs
(/.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))))
Calls

2 calls:

9.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
6.0ms
x
Results
AccuracySegmentsBranch
51.6%1x
51.6%1(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes16.0ms (0.1%)

Memory
-7.6MiB live, 27.5MiB allocated
Accuracy

Total -32.0b remaining (-102.8%)

Threshold costs -32b (-102.8%)

Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ 6 (+ (* x 16) -1)) (+ (* (sqrt x) -4) 1)) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 #s(approx (+ (* (sqrt x) 3/2) 3/8) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ 6 (+ (* x 16) -1)) (fma.f64 x #s(literal -96 binary64) #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))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt x) -4) -1)) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) x))))
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.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))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 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(approx (+ (* x 6) -6) (*.f64 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 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
Outputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ 6 (+ (* x 16) -1)) (+ (* (sqrt x) -4) 1)) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))))
Calls

2 calls:

5.0ms
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
51.4%1(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
51.4%1x
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-5.826800187966352
2.299459274170571
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-5.826800187966352
2.299459274170571
Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify10.0ms (0.1%)

Memory
18.2MiB live, 18.3MiB allocated
Algorithm
egg-herbie
Rules
18×+-commutative_binary64
16×*-commutative_binary64
10×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069222
188222
295222
3102222
4103222
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
(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)) (/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)))
(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)) (/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ 6 (+ (* x 16) -1)) (+ (* (sqrt x) -4) 1)) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))))
Outputs
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
(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)) (/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)))
(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)) (/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 #s(approx (+ (* (sqrt x) -4) -1) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)))
(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)) (/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (/.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 -5 binary64)) (/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ 6 (+ (* x 16) -1)) (+ (* (sqrt x) -4) 1)) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))))

soundness1.6s (14.3%)

Memory
-17.7MiB live, 1 029.9MiB allocated
Rules
19 378×lower-fma.f64
19 378×lower-fma.f32
12 660×lower-fma.f64
12 660×lower-fma.f32
12 592×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044260
067256
1277246
22202246
08872237
03825493
111114744
232654624
084664165
04275471
112664858
240674589
089534140
036181
057176
1225176
21781176
08209169
01132
01832
16932
252632
0844128
05065999
115025352
247195238
088094735
0131940
1372865
21055829
33184747
08584670
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 666 to 325 computations (51.2% saved)

preprocess64.0ms (0.6%)

Memory
13.9MiB live, 130.5MiB allocated
Compiler

Compiled 360 to 132 computations (63.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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