Data.Approximate.Numerics:blog from approximate-0.2.2.1

Time bar (total: 8.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory
2.3MiB live, 2.3MiB 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)

sample1.4s (17.7%)

Memory
7.0MiB live, 1 208.4MiB allocated
Samples
1.0s8 256×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 610.0ms
ival-sub: 139.0ms (22.8% of total)
ival-mult: 139.0ms (22.8% of total)
ival-div: 112.0ms (18.4% of total)
ival-sqrt: 100.0ms (16.4% of total)
ival-add: 98.0ms (16.1% of total)
exact: 12.0ms (2% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 4.0ms (0.7% of total)
Bogosity

explain238.0ms (3%)

Memory
4.5MiB live, 166.1MiB 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
76.0ms482×0valid
3.0ms20×1valid
2.0ms10×2valid
Compiler

Compiled 147 to 48 computations (67.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 7.0ms (27.4% of total)
ival-add: 5.0ms (19.6% of total)
ival-div: 4.0ms (15.7% of total)
ival-sqrt: 4.0ms (15.7% of total)
ival-sub: 3.0ms (11.8% of total)
adjust: 1.0ms (3.9% of total)
exact: 1.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess303.0ms (3.8%)

Memory
-19.3MiB live, 95.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 14 to 11 computations (21.4% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify76.0ms (0.9%)

Memory
-24.5MiB live, 26.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
cost-diff128
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
cost-diff128
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

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

localize29.0ms (0.4%)

Memory
14.2MiB live, 14.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(sqrt.f64 x)
accuracy0.01171875
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
accuracy0.07421875
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy0.11328125
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Samples
18.0ms241×0valid
1.0ms10×1valid
1.0ms2valid
Compiler

Compiled 88 to 24 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 3.0ms (23.9% of total)
ival-sub: 2.0ms (15.9% of total)
ival-div: 2.0ms (15.9% of total)
ival-add: 2.0ms (15.9% of total)
ival-sqrt: 2.0ms (15.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
13.7MiB live, 13.6MiB 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 (+ 1 (* 4 (sqrt x))) (taylor 0 x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor inf x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 6 (* 6 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 6 (* 6 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 6 (* 6 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 4 (sqrt (/ 1 x))))) (taylor inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 6 (/ 1 x)) 6))) (taylor -inf x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 6 (/ 1 x)) 6))) (taylor -inf x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 6 (/ 1 x)) 6))) (taylor -inf x) (#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
Calls

3 calls:

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

simplify282.0ms (3.5%)

Memory
-16.9MiB live, 248.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite170.0ms (2.1%)

Memory
0.8MiB live, 282.0MiB allocated
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
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eval121.0ms (1.5%)

Memory
-3.2MiB live, 279.5MiB allocated
Compiler

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

prune17.0ms (0.2%)

Memory
26.2MiB live, 65.4MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New5839592
Fresh000
Picked101
Done000
Total5849593
Accuracy
100.0%
Counts
593 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
77.2%
(/.f64 (*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) x)))
99.8%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x))
99.8%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
60.4%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
58.5%
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64))))
99.9%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
58.3%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
Compiler

Compiled 254 to 206 computations (18.9% saved)

simplify160.0ms (2%)

Memory
-17.7MiB live, 103.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x))
cost-diff128
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
cost-diff192
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x)
cost-diff0
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
cost-diff128
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
cost-diff0
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
cost-diff128
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
cost-diff0
(-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x))
cost-diff128
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038255
061252
1114250
2180250
3305250
4659250
51083250
62206250
73129250
83647250
93806250
103832250
113833250
123833250
133969250
144033250
154033250
164033250
04033235
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
#s(literal -4 binary64)
(sqrt.f64 x)
#s(literal -1 binary64)
#s(literal 6 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
#s(literal -6 binary64)
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(sqrt.f64 x)
x
#s(literal 4 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
#s(literal 6 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal 4 binary64)
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
#s(literal 6 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
(sqrt.f64 x)
#s(literal 4 binary64)
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
#s(literal 6 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x))
(*.f64 #s(literal 16 binary64) x)
#s(literal 16 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(sqrt.f64 x)
#s(literal 4 binary64)
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x))
(/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
#s(literal -4 binary64)
(sqrt.f64 x)
#s(literal -1 binary64)
#s(literal 6 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
#s(literal -6 binary64)
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
x
#s(literal 4 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
#s(literal 6 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal 4 binary64)
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
#s(literal 6 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)
(sqrt.f64 x)
#s(literal 4 binary64)
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x))
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) x))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
#s(literal 6 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x)
(-.f64 x (/.f64 (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x))
(fma.f64 #s(literal -16 binary64) x #s(literal 1 binary64))
(*.f64 #s(literal 16 binary64) x)
#s(literal 16 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(literal 4 binary64)

localize122.0ms (1.5%)

Memory
17.2MiB live, 337.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x)
accuracy0.07421875
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy0.11328125
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x))
accuracy0.1328125
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
accuracy0.00390625
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
accuracy0.0078125
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
accuracy0.07421875
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy0.11328125
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
accuracy0
(sqrt.f64 x)
accuracy0.07421875
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy0.11328125
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
accuracy25.36064585967567
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
accuracy0
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
accuracy0
(sqrt.f64 x)
accuracy0.109375
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
accuracy26.67219174794632
#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 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
accuracy0.0078125
(-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)
accuracy0.0390625
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x))
Samples
68.0ms241×0valid
19.0ms10×1valid
3.0ms2valid
Compiler

Compiled 474 to 67 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-div: 22.0ms (34.7% of total)
ival-mult: 19.0ms (30% of total)
ival-sub: 8.0ms (12.6% of total)
ival-add: 8.0ms (12.6% of total)
ival-sqrt: 2.0ms (3.2% of total)
adjust: 1.0ms (1.6% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series135.0ms (1.7%)

Memory
-11.9MiB live, 66.4MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) (patch (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (patch (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (patch #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x)) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x)) #<representation binary64>) () ())
Outputs
#s(alt (/ 6 (- (* -4 (sqrt x)) 1)) (taylor 0 x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 6 (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 6 (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (* 6 (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((* (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) 6) (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (- 1 x) (- (+ (* -4 (sqrt x)) -1) x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* (sqrt x) 4) 1) (sqrt x) (* 6 (- x 1)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1)) (+ (+ (* (sqrt x) 4) x) 1) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x) (- 1 (* 16 x)) (- 1 (* (sqrt x) 4)) (+ (* (sqrt x) 4) x) (/ 1 (- 1 (* (sqrt x) 4))) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)))
7.0ms
x
@inf
((* (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) 6) (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (- 1 x) (- (+ (* -4 (sqrt x)) -1) x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* (sqrt x) 4) 1) (sqrt x) (* 6 (- x 1)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1)) (+ (+ (* (sqrt x) 4) x) 1) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x) (- 1 (* 16 x)) (- 1 (* (sqrt x) 4)) (+ (* (sqrt x) 4) x) (/ 1 (- 1 (* (sqrt x) 4))) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)))
6.0ms
x
@0
((* (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) 6) (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (- 1 x) (- (+ (* -4 (sqrt x)) -1) x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* (sqrt x) 4) 1) (sqrt x) (* 6 (- x 1)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1)) (+ (+ (* (sqrt x) 4) x) 1) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x) (- 1 (* 16 x)) (- 1 (* (sqrt x) 4)) (+ (* (sqrt x) 4) x) (/ 1 (- 1 (* (sqrt x) 4))) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)))

simplify150.0ms (1.9%)

Memory
8.8MiB live, 246.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05295695
115695057
251634949
082914427
Stop Event
iter limit
node limit
Counts
240 → 236
Calls
Call 1
Inputs
(/ 6 (- (* -4 (sqrt x)) 1))
(+ (* 6 (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(+ (* x (+ (* 6 (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (* 6 (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(+ (* x (+ (* 6 (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (* x (+ (* 6 (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))) (- (* -4 (sqrt x)) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(/ 1 (- (* -4 (sqrt x)) 1))
(+ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1)))
(+ (* x (- (+ (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1))) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1)))
(+ (* x (- (+ (* x (- (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (pow (- (* -4 (sqrt x)) 1) 2)) (* -1 (/ (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))) (- (* -4 (sqrt x)) 1))))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(- (* -4 (sqrt x)) 1)
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
-6
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
-1
(- x 1)
(- x 1)
(- x 1)
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
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1
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x
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x
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(/ (- (* -1/4 (sqrt x)) (+ 1/16 (+ (* 1/64 (sqrt (/ 1 x))) (* 1/256 (/ 1 x))))) x)
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(+ (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
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(* -1 x)
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(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(* 3/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
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(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
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(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
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(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
x
(* -1 (* x (- (* 4 (sqrt (/ 1 x))) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -4 (sqrt x)) (* -1 (/ (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -4 (sqrt x)) (* -1 (/ (- (+ (* -1/4 (sqrt x)) (+ (* 1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (/ -1/16 (pow (sqrt -1) 2)))) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x)) 1)))
(* -16 x)
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(* -1 (* x (- 16 (/ 1 x))))
(* -1 (* x (- 16 (/ 1 x))))
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(* x (+ (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))
(* x (+ (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))
(* x (+ (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))
(* -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)))
(* 1/4 (sqrt (/ 1 x)))
(* -1 (/ (- (* -1/4 (sqrt x)) (* 1/16 (/ 1 (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/64 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1/16 (/ x (pow (sqrt -1) 2)))) x)) (* -1/4 (sqrt x))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ x (pow (sqrt -1) 4))) (* 1/64 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) x)) (* -1/4 (sqrt x))) x))
6
(+ 6 (* -6 (/ (+ 1 (* -4 (sqrt x))) x)))
(+ 6 (* -1 (/ (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* 6 (/ (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))) x))) x)))
(+ 6 (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x))))) (* -6 (/ (+ (* -1 (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (+ (* 4 (* (sqrt x) (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))))) (* (+ 1 (* -4 (sqrt x))) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* 6 (+ 1 (* -4 (sqrt x))))) x)))
Outputs
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(fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
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(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
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(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
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x
(* -1 (* x (- (* 4 (sqrt (/ 1 x))) 1)))
(fma.f64 (*.f64 x #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (* x (- (* -1 (/ (+ (* -4 (sqrt x)) (* -1 (/ (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x)) 1)))
(*.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) x) x)) x) #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (/ (+ (* -4 (sqrt x)) (* -1 (/ (- (+ (* -1/4 (sqrt x)) (+ (* 1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (/ -1/16 (pow (sqrt -1) 2)))) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x)) 1)))
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(* -16 x)
(*.f64 #s(literal -16 binary64) x)
(* -1 (* x (- 16 (/ 1 x))))
(fma.f64 #s(literal -16 binary64) x #s(literal 1 binary64))
(* -1 (* x (- 16 (/ 1 x))))
(fma.f64 #s(literal -16 binary64) x #s(literal 1 binary64))
(* -1 (* x (- 16 (/ 1 x))))
(fma.f64 #s(literal -16 binary64) x #s(literal 1 binary64))
(* 4 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
(* x (+ (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))
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6
#s(literal 6 binary64)
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rewrite206.0ms (2.6%)

Memory
14.9MiB live, 240.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038192
061173
1281173
22207173
09408165
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 013
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x))
(-.f64 #s(literal 1 binary64) x)
(-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(sqrt.f64 x)
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(-.f64 x #s(literal 1 binary64))
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x))
Outputs
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eval300.0ms (3.8%)

Memory
1.0MiB live, 478.6MiB allocated
Compiler

Compiled 40 719 to 4 012 computations (90.1% saved)

prune39.0ms (0.5%)

Memory
-11.3MiB live, 108.8MiB allocated
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1 63461 640
Fresh314
Picked325
Done000
Total1 64091 649
Accuracy
100.0%
Counts
1 649 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
60.4%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
42.8%
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
58.5%
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
99.9%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
58.3%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
44.4%
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)))
60.3%
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
41.6%
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
Compiler

Compiled 153 to 139 computations (9.2% saved)

simplify283.0ms (3.5%)

Memory
-6.9MiB live, 98.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)))
cost-diff192
(fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64))
cost-diff0
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
cost-diff0
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
cost-diff0
#s(approx (* 6 (- x 1)) #s(literal -6 binary64))
cost-diff0
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
cost-diff320
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))
cost-diff0
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
cost-diff0
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036208
054208
197194
2156192
3259192
4480192
5756192
61504192
72893192
84257192
94923192
105115192
115215192
125252192
135256192
145440192
155520192
165520192
175520192
185552192
195562192
205562192
215582192
05582185
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
x
#s(literal 6 binary64)
#s(literal -6 binary64)
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))
(sqrt.f64 x)
#s(literal 4 binary64)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))
(sqrt.f64 x)
x
#s(literal -4 binary64)
#s(literal 1 binary64)
#s(literal -6 binary64)
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
#s(approx (* 6 (- x 1)) #s(literal -6 binary64))
#s(literal -6 binary64)
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
(sqrt.f64 x)
x
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)))
(fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64))
(/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
x
#s(literal 1 binary64)
#s(literal -6 binary64)
#s(literal 6 binary64)
Outputs
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (-.f64 #s(literal -1 binary64) x)))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
x
#s(literal 6 binary64)
#s(literal -6 binary64)
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))
(sqrt.f64 x)
#s(literal 4 binary64)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
x
#s(literal -4 binary64)
#s(literal 1 binary64)
#s(literal -6 binary64)
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))))
#s(approx (* 6 (- x 1)) #s(literal -6 binary64))
#s(literal -6 binary64)
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)
(sqrt.f64 x)
x
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (-.f64 (/.f64 (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) x) #s(literal -6 binary64)))
(fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64))
(-.f64 (/.f64 (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) x) #s(literal -6 binary64))
(/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
x
#s(literal 1 binary64)
#s(literal -6 binary64)
#s(literal 6 binary64)

localize95.0ms (1.2%)

Memory
2.9MiB live, 199.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(sqrt.f64 x)
accuracy0.11328125
(/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)
accuracy0.1953125
(fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64))
accuracy35.57778618684837
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)))
accuracy0.00390625
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
accuracy0.0078125
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
accuracy0.11328125
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
accuracy26.886837686286174
#s(approx (* 6 (- x 1)) #s(literal -6 binary64))
accuracy0
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))
accuracy0
(sqrt.f64 x)
accuracy0.1328125
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))
accuracy25.432724274164173
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
accuracy37.38391031864327
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
accuracy0
(-.f64 x #s(literal -1 binary64))
accuracy0
(sqrt.f64 x)
accuracy0.01171875
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))
accuracy0.11328125
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
Samples
59.0ms241×0valid
5.0ms10×1valid
3.0ms2valid
Compiler

Compiled 330 to 61 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 19.0ms (38.1% of total)
ival-add: 13.0ms (26.1% of total)
ival-div: 9.0ms (18% of total)
ival-sub: 5.0ms (10% of total)
adjust: 2.0ms (4% of total)
ival-sqrt: 2.0ms (4% of total)
exact: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory
-6.7MiB live, 31.8MiB allocated
Counts
17 → 204
Calls
Call 1
Inputs
#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) (patch (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) (patch (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (patch #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)) (patch (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt -6 (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (sqrt x))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -6 (- 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -6 (+ 1 (* -4 (sqrt x)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) (patch (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -6 (+ 1 (* -4 (sqrt x)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) (patch (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -6 (+ 1 (* -4 (sqrt x)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) (patch (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -6 (+ 1 (* -4 (sqrt x)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) (patch (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -6 (- 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -4 (sqrt x))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -4 (sqrt x))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -4 (sqrt x))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -4 (sqrt x))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) (patch (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) #<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 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
((/ (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1))) (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1)) (sqrt x) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (* (+ (* (sqrt x) -4) 1) -6) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (+ (* (sqrt x) -4) 1) (/ (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1)) (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1) (+ (* (sqrt x) 4) x) (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (/ (+ (* 4 (sqrt x)) 1) x) (+ (* 4 (sqrt x)) 1) (- x -1))
5.0ms
x
@inf
((/ (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1))) (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1)) (sqrt x) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (* (+ (* (sqrt x) -4) 1) -6) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (+ (* (sqrt x) -4) 1) (/ (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1)) (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1) (+ (* (sqrt x) 4) x) (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (/ (+ (* 4 (sqrt x)) 1) x) (+ (* 4 (sqrt x)) 1) (- x -1))
2.0ms
x
@0
((/ (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1))) (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1)) (sqrt x) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (* (+ (* (sqrt x) -4) 1) -6) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (+ (* (sqrt x) -4) 1) (/ (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1)) (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1) (+ (* (sqrt x) 4) x) (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (/ (+ (* 4 (sqrt x)) 1) x) (+ (* 4 (sqrt x)) 1) (- x -1))

simplify184.0ms (2.3%)

Memory
-5.7MiB live, 186.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03414298
110583877
234413755
082653305
Stop Event
iter limit
node limit
Counts
204 → 202
Calls
Call 1
Inputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
-6
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -6 (- 1 (* 4 (sqrt x))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))))))))
(* -6 (+ 1 (* -4 (sqrt x))))
(* -6 (+ 1 (* -4 (sqrt x))))
(* -6 (+ 1 (* -4 (sqrt x))))
(* -6 (+ 1 (* -4 (sqrt x))))
(* -6 (- 1 (* 4 (sqrt x))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))))))))
(+ 1 (* -4 (sqrt x)))
(+ 1 (* -4 (sqrt x)))
(+ 1 (* -4 (sqrt x)))
(+ 1 (* -4 (sqrt x)))
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
-6
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(* 4 (sqrt x))
(+ x (* 4 (sqrt x)))
(+ x (* 4 (sqrt x)))
(+ x (* 4 (sqrt x)))
(* -6 (/ (+ 1 (* 4 (sqrt x))) x))
(/ (+ (* -6 (+ 1 (* 4 (sqrt x)))) (* 6 x)) x)
(/ (+ (* -6 (+ 1 (* 4 (sqrt x)))) (* 6 x)) x)
(/ (+ (* -6 (+ 1 (* 4 (sqrt x)))) (* 6 x)) x)
(* -6 (- 1 (* 4 (sqrt x))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))))))))
(/ (+ 1 (* 4 (sqrt x))) x)
(/ (+ 1 (* 4 (sqrt x))) x)
(/ (+ 1 (* 4 (sqrt x))) x)
(/ (+ 1 (* 4 (sqrt x))) x)
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))))
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
6
(+ 6 (* -6 (/ (+ 1 (* 4 (sqrt x))) x)))
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2)))))
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (+ (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2))) (* 6 (/ (- (* 1/16 x) (+ (* -4 (* (sqrt x) (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))))) (+ (* -1 (* (+ 1 (* 4 (sqrt x))) (+ x (* -1/4 (sqrt x))))) (* 1/4 (sqrt (pow x 3)))))) (pow x 3))))))
(* 24 (sqrt x))
(* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x))))
(* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x))))
(* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x))))
6
(+ 6 (* -6 (/ (+ 1 (* 4 (sqrt x))) x)))
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2)))))
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (+ (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2))) (* 6 (/ (- (* 1/16 x) (+ (* -4 (* (sqrt x) (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))))) (+ (* -1 (* (+ 1 (* 4 (sqrt x))) (+ x (* -1/4 (sqrt x))))) (* 1/4 (sqrt (pow x 3)))))) (pow x 3))))))
(* -4 (sqrt x))
(* x (+ (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (+ (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (+ (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ 6 (* -24 (sqrt (/ 1 x))))
(- (+ 6 (* -24 (sqrt (/ 1 x)))) (* 6 (/ 1 x)))
(- (+ 6 (* -24 (sqrt (/ 1 x)))) (* 6 (/ 1 x)))
(- (+ 6 (* -24 (sqrt (/ 1 x)))) (* 6 (/ 1 x)))
6
(+ 6 (* -6 (/ (+ 1 (* 4 (sqrt x))) x)))
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2)))))
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (+ (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2))) (* 6 (/ (- (* 1/16 x) (+ (* -4 (* (sqrt x) (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))))) (+ (* -1 (* (+ 1 (* 4 (sqrt x))) (+ x (* -1/4 (sqrt x))))) (* 1/4 (sqrt (pow x 3)))))) (pow x 3))))))
(* 4 (sqrt (/ 1 x)))
(+ (* 4 (sqrt (/ 1 x))) (/ 1 x))
(+ (* 4 (sqrt (/ 1 x))) (/ 1 x))
(+ (* 4 (sqrt (/ 1 x))) (/ 1 x))
(* 4 (sqrt x))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))))
(- (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(* 6 x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
6
(+ 6 (* -6 (/ (+ 1 (* -4 (sqrt x))) x)))
(+ 6 (* -1 (/ (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* 6 (/ (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))) x))) x)))
(+ 6 (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x))))) (* -6 (/ (+ (* -1 (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (+ (* 4 (* (sqrt x) (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))))) (* (+ 1 (* -4 (sqrt x))) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* 6 (+ 1 (* -4 (sqrt x))))) x)))
(* -24 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x)))))
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x)))))
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x)))))
6
(+ 6 (* -6 (/ (+ 1 (* -4 (sqrt x))) x)))
(+ 6 (* -1 (/ (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* 6 (/ (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))) x))) x)))
(+ 6 (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x))))) (* -6 (/ (+ (* -1 (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (+ (* 4 (* (sqrt x) (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))))) (* (+ 1 (* -4 (sqrt x))) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* 6 (+ 1 (* -4 (sqrt x))))) x)))
(* 4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(* 6 x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(+ 6 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(- (+ 6 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 6 (/ 1 x)))
(- (+ 6 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 6 (/ 1 x)))
(- (+ 6 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 6 (/ 1 x)))
6
(+ 6 (* -6 (/ (+ 1 (* -4 (sqrt x))) x)))
(+ 6 (* -1 (/ (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* 6 (/ (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))) x))) x)))
(+ 6 (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x))))) (* -6 (/ (+ (* -1 (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (+ (* 4 (* (sqrt x) (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))))) (* (+ 1 (* -4 (sqrt x))) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* 6 (+ 1 (* -4 (sqrt x))))) x)))
(* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))
(+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))
(+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
Outputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 6 binary64) (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
-6
#s(literal -6 binary64)
(- (* 6 x) 6)
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(- (* 6 x) 6)
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(- (* 6 x) 6)
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(+ 1 (* 4 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -6 (- 1 (* 4 (sqrt x))))
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 6 binary64) #s(literal 6 binary64)) x (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) (*.f64 (+.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 6 binary64) #s(literal 6 binary64))) x (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) x x)) #s(literal 6 binary64))) x (fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 6 binary64) #s(literal 6 binary64))) x (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
(* -6 (+ 1 (* -4 (sqrt x))))
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))
(* -6 (+ 1 (* -4 (sqrt x))))
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))
(* -6 (+ 1 (* -4 (sqrt x))))
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))
(* -6 (+ 1 (* -4 (sqrt x))))
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))
(* -6 (- 1 (* 4 (sqrt x))))
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 6 binary64) #s(literal 6 binary64)) x (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) (*.f64 (+.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 6 binary64) #s(literal 6 binary64))) x (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) x x)) #s(literal 6 binary64))) x (fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 6 binary64) #s(literal 6 binary64))) x (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
(+ 1 (* -4 (sqrt x)))
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (* -4 (sqrt x)))
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (* -4 (sqrt x)))
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (* -4 (sqrt x)))
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 6 binary64) (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
-6
#s(literal -6 binary64)
(- (* 6 x) 6)
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(- (* 6 x) 6)
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(- (* 6 x) 6)
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(+ 1 (* 4 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(* 4 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(+ x (* 4 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
(+ x (* 4 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
(+ x (* 4 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
(* -6 (/ (+ 1 (* 4 (sqrt x))) x))
(/.f64 (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) x)
(/ (+ (* -6 (+ 1 (* 4 (sqrt x)))) (* 6 x)) x)
(/.f64 (fma.f64 #s(literal 6 binary64) x (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) x)
(/ (+ (* -6 (+ 1 (* 4 (sqrt x)))) (* 6 x)) x)
(/.f64 (fma.f64 #s(literal 6 binary64) x (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) x)
(/ (+ (* -6 (+ 1 (* 4 (sqrt x)))) (* 6 x)) x)
(/.f64 (fma.f64 #s(literal 6 binary64) x (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) x)
(* -6 (- 1 (* 4 (sqrt x))))
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))
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(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(+ 6 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))
(- (+ 6 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 6 (/ 1 x)))
(fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) x)))
(- (+ 6 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 6 (/ 1 x)))
(fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) x)))
(- (+ 6 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 6 (/ 1 x)))
(fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) x)))
6
#s(literal 6 binary64)
(+ 6 (* -6 (/ (+ 1 (* -4 (sqrt x))) x)))
(+.f64 (/.f64 (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) x) #s(literal 6 binary64))
(+ 6 (* -1 (/ (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* 6 (/ (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))) x))) x)))
(-.f64 #s(literal 6 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 (fma.f64 #s(literal -4 binary64) x (sqrt.f64 x)) #s(literal -4 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)))) x) #s(literal 6 binary64) (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) #s(literal 6 binary64))) x))
(+ 6 (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x))))) (* -6 (/ (+ (* -1 (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (+ (* 4 (* (sqrt x) (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))))) (* (+ 1 (* -4 (sqrt x))) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* 6 (+ 1 (* -4 (sqrt x))))) x)))
(-.f64 #s(literal 6 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 (fma.f64 #s(literal -4 binary64) x (sqrt.f64 x)) #s(literal -4 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))))) (sqrt.f64 x) (fma.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/16 binary64) x)))) x) (-.f64 x (fma.f64 (fma.f64 #s(literal -4 binary64) x (sqrt.f64 x)) #s(literal -4 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))))) x) #s(literal 6 binary64) (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) #s(literal 6 binary64))) x))
(* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))
(+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))

rewrite250.0ms (3.1%)

Memory
20.1MiB live, 172.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036183
054177
1267169
22094151
010093151
Stop Event
iter limit
node limit
iter limit
Counts
17 → 968
Calls
Call 1
Inputs
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))
(sqrt.f64 x)
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
#s(approx (* 6 (- x 1)) #s(literal -6 binary64))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
(fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)))
(/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
Outputs
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eval370.0ms (4.6%)

Memory
27.4MiB live, 265.0MiB allocated
Compiler

Compiled 28 260 to 3 354 computations (88.1% saved)

prune172.0ms (2.2%)

Memory
-4.9MiB live, 69.3MiB allocated
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New1 23451 239
Fresh202
Picked235
Done022
Total1 238101 248
Accuracy
100.0%
Counts
1 248 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
60.4%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64))))
42.8%
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
58.5%
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
99.9%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
58.3%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
60.3%
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
45.3%
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
3.9%
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))))
41.6%
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
Compiler

Compiled 133 to 123 computations (7.5% saved)

simplify389.0ms (4.9%)

Memory
1.9MiB live, 49.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))
cost-diff0
(*.f64 #s(literal 6 binary64) x)
cost-diff0
#s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x))
cost-diff0
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))
cost-diff0
#s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 #s(literal 24 binary64) (sqrt.f64 x))
cost-diff0
#s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))
cost-diff0
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
cost-diff0
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052258
069258
1114249
2169243
3273239
4489239
5759239
61499239
72847239
84155239
94831239
105134239
115246239
125295239
135300239
145694239
155895239
165899239
175907239
185911239
195911239
205915239
215915239
225927239
235969239
245985239
255985239
265985239
276003239
286163239
06163231
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
x
#s(literal 6 binary64)
#s(literal -6 binary64)
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))
(sqrt.f64 x)
#s(literal 4 binary64)
#s(approx (- x -1) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))))
#s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 24 binary64) (sqrt.f64 x))
#s(literal 24 binary64)
(sqrt.f64 x)
x
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))
#s(literal 24 binary64)
(sqrt.f64 x)
x
#s(literal -6 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
#s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))
(fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))
#s(literal -24 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 6 binary64)
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
#s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x))
(*.f64 #s(literal 6 binary64) x)
#s(literal 6 binary64)
x
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))
(sqrt.f64 x)
#s(literal 4 binary64)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(approx (- x -1) #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)
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(approx (- x -1) #s(literal 1 binary64)))
(sqrt.f64 x)
#s(literal 4 binary64)
#s(approx (- x -1) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))))
#s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 24 binary64) (sqrt.f64 x))
#s(literal 24 binary64)
(sqrt.f64 x)
x
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))
#s(literal 24 binary64)
(sqrt.f64 x)
x
#s(literal -6 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64))))
#s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))
#s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64)))
(fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64))
#s(literal -24 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 6 binary64)
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))))
#s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x))
(*.f64 #s(literal 6 binary64) x)
#s(literal 6 binary64)
x
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))
(sqrt.f64 x)
#s(literal 4 binary64)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)

localize211.0ms (2.6%)

Memory
-11.5MiB live, 216.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(sqrt.f64 x)
accuracy0.01171875
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))
accuracy0.11328125
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
accuracy36.588413863755015
#s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x))
accuracy0.16796875
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy0.19921875
(fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))
accuracy34.91710619965518
#s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))
accuracy35.57778618684837
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
accuracy0
(sqrt.f64 x)
accuracy0.13671875
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))
accuracy25.432724274164173
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
accuracy0
(sqrt.f64 x)
accuracy0.32421875
(*.f64 #s(literal 24 binary64) (sqrt.f64 x))
accuracy25.432724274164173
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))))
accuracy37.11553264506892
#s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))
accuracy0
(sqrt.f64 x)
accuracy0.01171875
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))
accuracy0.11328125
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64))))
accuracy25.78527447489753
#s(approx (- x -1) #s(literal 1 binary64))
Samples
176.0ms241×0valid
5.0ms10×1valid
3.0ms2valid
Compiler

Compiled 337 to 71 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 166.0ms
ival-div: 106.0ms (64% of total)
ival-mult: 38.0ms (23% of total)
ival-add: 10.0ms (6% of total)
ival-sub: 5.0ms (3% of total)
ival-sqrt: 4.0ms (2.4% of total)
adjust: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
1.4MiB live, 38.8MiB allocated
Counts
18 → 216
Calls
Call 1
Inputs
#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64))) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))) (patch #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 24 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 24 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) (patch (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (patch #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) (patch (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (patch (/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (patch #s(approx (+ (* x 6) -6) (*.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 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- x -1) #s(literal 1 binary64)) (patch #s(approx (- x -1) #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt -6 (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (sqrt x))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64))) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64))) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64))) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64))) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -6 (- 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -6 (+ 1 (* -4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))) (patch #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -6 (+ 1 (* -4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))) (patch #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -6 (+ 1 (* -4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))) (patch #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -6 (+ 1 (* -4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))) (patch #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 24 (sqrt x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 24 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 24 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 24 (sqrt x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 24 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 24 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 24 (sqrt x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 24 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 24 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 24 (sqrt x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 24 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 24 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -6 (- 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 24 (sqrt x)) 6) (taylor 0 x) (#s(alt (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) (patch (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 24 (sqrt x)) 6) (taylor 0 x) (#s(alt (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) (patch (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 24 (sqrt x)) 6) (taylor 0 x) (#s(alt (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) (patch (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 24 (sqrt x)) 6) (taylor 0 x) (#s(alt (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) (patch (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -6 (- 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (taylor 0 x) (#s(alt #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* 6 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 6 binary64) x) (patch (*.f64 #s(literal 6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 6 binary64) x) (patch (*.f64 #s(literal 6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x -1) #s(literal 1 binary64)) (patch #s(approx (- x -1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- x -1) #s(literal 1 binary64)) (patch #s(approx (- x -1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- x -1) #s(literal 1 binary64)) (patch #s(approx (- x -1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- x -1) #s(literal 1 binary64)) (patch #s(approx (- x -1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((/ (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1))) (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1)) (sqrt x) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (* (+ (* (sqrt x) -4) 1) -6) (* 24 (sqrt x)) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (+ (* 24 (sqrt x)) -6) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+ (* -24 (sqrt (/ 1 x))) 6) (sqrt (/ 1 x)) (/ (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1))) (+ (* x 6) -6) (* 6 x) (+ (* (sqrt x) 4) (- x -1)) (- x -1))
2.0ms
x
@0
((/ (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1))) (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1)) (sqrt x) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (* (+ (* (sqrt x) -4) 1) -6) (* 24 (sqrt x)) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (+ (* 24 (sqrt x)) -6) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+ (* -24 (sqrt (/ 1 x))) 6) (sqrt (/ 1 x)) (/ (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1))) (+ (* x 6) -6) (* 6 x) (+ (* (sqrt x) 4) (- x -1)) (- x -1))
2.0ms
x
@inf
((/ (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1))) (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1)) (sqrt x) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (* (+ (* (sqrt x) -4) 1) -6) (* 24 (sqrt x)) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (+ (* 24 (sqrt x)) -6) (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+ (* -24 (sqrt (/ 1 x))) 6) (sqrt (/ 1 x)) (/ (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1))) (+ (* x 6) -6) (* 6 x) (+ (* (sqrt x) 4) (- x -1)) (- x -1))

simplify340.0ms (4.3%)

Memory
-4.6MiB live, 254.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02774285
18413838
228053520
084633098
Stop Event
iter limit
node limit
Counts
216 → 214
Calls
Call 1
Inputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
-6
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -6 (- 1 (* 4 (sqrt x))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))))))))
(* -6 (+ 1 (* -4 (sqrt x))))
(* -6 (+ 1 (* -4 (sqrt x))))
(* -6 (+ 1 (* -4 (sqrt x))))
(* -6 (+ 1 (* -4 (sqrt x))))
(* 24 (sqrt x))
(* 24 (sqrt x))
(* 24 (sqrt x))
(* 24 (sqrt x))
(* -6 (- 1 (* 4 (sqrt x))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))))))))
(- (* 24 (sqrt x)) 6)
(- (* 24 (sqrt x)) 6)
(- (* 24 (sqrt x)) 6)
(- (* 24 (sqrt x)) 6)
(* -6 (- 1 (* 4 (sqrt x))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))))))))
(* -6 (/ (+ 1 (* 4 (sqrt x))) x))
(/ (+ (* -6 (+ 1 (* 4 (sqrt x)))) (* 6 x)) x)
(/ (+ (* -6 (+ 1 (* 4 (sqrt x)))) (* 6 x)) x)
(/ (+ (* -6 (+ 1 (* 4 (sqrt x)))) (* 6 x)) x)
(* -24 (sqrt (/ 1 x)))
(/ (+ (* -24 (sqrt x)) (* 6 x)) x)
(/ (+ (* -24 (sqrt x)) (* 6 x)) x)
(/ (+ (* -24 (sqrt x)) (* 6 x)) x)
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 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
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))))
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
6
(+ 6 (* -6 (/ (+ 1 (* 4 (sqrt x))) x)))
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2)))))
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (+ (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2))) (* 6 (/ (- (* 1/16 x) (+ (* -4 (* (sqrt x) (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))))) (+ (* -1 (* (+ 1 (* 4 (sqrt x))) (+ x (* -1/4 (sqrt x))))) (* 1/4 (sqrt (pow x 3)))))) (pow x 3))))))
(* 24 (sqrt x))
(* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x))))
(* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x))))
(* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x))))
(* 24 (sqrt x))
(* 24 (sqrt x))
(* 24 (sqrt x))
(* 24 (sqrt x))
6
(+ 6 (* -6 (/ (+ 1 (* 4 (sqrt x))) x)))
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2)))))
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (+ (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2))) (* 6 (/ (- (* 1/16 x) (+ (* -4 (* (sqrt x) (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))))) (+ (* -1 (* (+ 1 (* 4 (sqrt x))) (+ x (* -1/4 (sqrt x))))) (* 1/4 (sqrt (pow x 3)))))) (pow x 3))))))
(* 24 (sqrt x))
(* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x))))
(* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x))))
(* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x))))
6
(+ 6 (* -6 (/ (+ 1 (* 4 (sqrt x))) x)))
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2)))))
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (+ (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2))) (* 6 (/ (- (* 1/16 x) (+ (* -4 (* (sqrt x) (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))))) (+ (* -1 (* (+ 1 (* 4 (sqrt x))) (+ x (* -1/4 (sqrt x))))) (* 1/4 (sqrt (pow x 3)))))) (pow x 3))))))
(+ 6 (* -24 (sqrt (/ 1 x))))
(- (+ 6 (* -24 (sqrt (/ 1 x)))) (* 6 (/ 1 x)))
(- (+ 6 (* -24 (sqrt (/ 1 x)))) (* 6 (/ 1 x)))
(- (+ 6 (* -24 (sqrt (/ 1 x)))) (* 6 (/ 1 x)))
(+ 6 (* -24 (sqrt (/ 1 x))))
(+ 6 (* -24 (sqrt (/ 1 x))))
(+ 6 (* -24 (sqrt (/ 1 x))))
(+ 6 (* -24 (sqrt (/ 1 x))))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))))
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))))
(- (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(* 6 x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
6
(+ 6 (* -6 (/ (+ 1 (* -4 (sqrt x))) x)))
(+ 6 (* -1 (/ (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* 6 (/ (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))) x))) x)))
(+ 6 (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x))))) (* -6 (/ (+ (* -1 (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (+ (* 4 (* (sqrt x) (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))))) (* (+ 1 (* -4 (sqrt x))) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* 6 (+ 1 (* -4 (sqrt x))))) x)))
(* -24 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x)))))
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x)))))
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x)))))
(* -24 (* (sqrt x) (pow (sqrt -1) 2)))
(* -24 (* (sqrt x) (pow (sqrt -1) 2)))
(* -24 (* (sqrt x) (pow (sqrt -1) 2)))
(* -24 (* (sqrt x) (pow (sqrt -1) 2)))
6
(+ 6 (* -6 (/ (+ 1 (* -4 (sqrt x))) x)))
(+ 6 (* -1 (/ (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* 6 (/ (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))) x))) x)))
(+ 6 (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x))))) (* -6 (/ (+ (* -1 (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (+ (* 4 (* (sqrt x) (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))))) (* (+ 1 (* -4 (sqrt x))) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* 6 (+ 1 (* -4 (sqrt x))))) x)))
(* -24 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x)))))
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x)))))
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x)))))
6
(+ 6 (* -6 (/ (+ 1 (* -4 (sqrt x))) x)))
(+ 6 (* -1 (/ (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* 6 (/ (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))) x))) x)))
(+ 6 (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x))))) (* -6 (/ (+ (* -1 (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (+ (* 4 (* (sqrt x) (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))))) (* (+ 1 (* -4 (sqrt x))) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* 6 (+ 1 (* -4 (sqrt x))))) x)))
(+ 6 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(- (+ 6 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 6 (/ 1 x)))
(- (+ 6 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 6 (/ 1 x)))
(- (+ 6 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 6 (/ 1 x)))
(+ 6 (* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ 6 (* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ 6 (* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ 6 (* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))))
(- (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(* 6 x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 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)))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
Outputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) x (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
-6
#s(literal -6 binary64)
(- (* 6 x) 6)
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(- (* 6 x) 6)
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(- (* 6 x) 6)
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(+ 1 (* 4 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -6 (- 1 (* 4 (sqrt x))))
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))
(fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 6 binary64) x) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))
(fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x #s(literal -6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 6 binary64))) x (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 6 binary64) x) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))) x (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 6 binary64))) x (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
(* -6 (+ 1 (* -4 (sqrt x))))
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))
(* -6 (+ 1 (* -4 (sqrt x))))
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))
(* -6 (+ 1 (* -4 (sqrt x))))
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))
(* -6 (+ 1 (* -4 (sqrt x))))
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))
(* 24 (sqrt x))
(*.f64 #s(literal 24 binary64) (sqrt.f64 x))
(* 24 (sqrt x))
(*.f64 #s(literal 24 binary64) (sqrt.f64 x))
(* 24 (sqrt x))
(*.f64 #s(literal 24 binary64) (sqrt.f64 x))
(* 24 (sqrt x))
(*.f64 #s(literal 24 binary64) (sqrt.f64 x))
(* -6 (- 1 (* 4 (sqrt x))))
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))
(fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 6 binary64) x) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))
(fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x #s(literal -6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 6 binary64))) x (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 6 binary64) x) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))) x (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 6 binary64))) x (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
(- (* 24 (sqrt x)) 6)
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))
(- (* 24 (sqrt x)) 6)
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))
(- (* 24 (sqrt x)) 6)
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))
(- (* 24 (sqrt x)) 6)
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))
(* -6 (- 1 (* 4 (sqrt x))))
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))
(fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 6 binary64) x) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))
(fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x #s(literal -6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 6 binary64))) x (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 6 binary64) x) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))) x (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 6 binary64))) x (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
(* -6 (/ (+ 1 (* 4 (sqrt x))) x))
(/.f64 (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) #s(literal -6 binary64)) x)
(/ (+ (* -6 (+ 1 (* 4 (sqrt x)))) (* 6 x)) x)
(/.f64 (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) x)
(/ (+ (* -6 (+ 1 (* 4 (sqrt x)))) (* 6 x)) x)
(/.f64 (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) x)
(/ (+ (* -6 (+ 1 (* 4 (sqrt x)))) (* 6 x)) x)
(/.f64 (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) x)
(* -24 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64))
(/ (+ (* -24 (sqrt x)) (* 6 x)) x)
(/.f64 (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) (*.f64 #s(literal 6 binary64) x)) x)
(/ (+ (* -24 (sqrt x)) (* 6 x)) x)
(/.f64 (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) (*.f64 #s(literal 6 binary64) x)) x)
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(/ -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 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -6 binary64) x) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))
(- (* -1 (/ (- (+ (* -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 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) x))
(- (* -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 (+.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) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) x)) x))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(*.f64 (neg.f64 x) (fma.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 (/ 1 x)))))
(neg.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) x #s(literal -1 binary64)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(neg.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) x #s(literal -1 binary64)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(neg.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) x #s(literal -1 binary64)))
x
(* 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))

rewrite245.0ms (3.1%)

Memory
20.0MiB live, 248.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052228
069222
1300215
22271194
010023188
Stop Event
iter limit
node limit
iter limit
Counts
18 → 501
Calls
Call 1
Inputs
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64)))
(sqrt.f64 x)
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))))
#s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 24 binary64) (sqrt.f64 x))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
#s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))
(fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
#s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x))
(*.f64 #s(literal 6 binary64) x)
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))
#s(approx (- x -1) #s(literal 1 binary64))
Outputs
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eval193.0ms (2.4%)

Memory
-10.9MiB live, 321.5MiB allocated
Compiler

Compiled 18 025 to 2 207 computations (87.8% saved)

prune35.0ms (0.4%)

Memory
3.2MiB live, 120.5MiB allocated
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New7861787
Fresh000
Picked145
Done055
Total78710797
Accuracy
100.0%
Counts
797 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
60.4%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64))))
42.8%
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
58.5%
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
99.9%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
58.3%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
60.3%
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
45.3%
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))))
3.9%
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))))
41.6%
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
Compiler

Compiled 335 to 166 computations (50.4% saved)

regimes16.0ms (0.2%)

Memory
8.6MiB live, 43.3MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64))))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x))
(/.f64 (*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) x)))
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
Calls

2 calls:

8.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
7.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 15 to 12 computations (20% saved)

regimes14.0ms (0.2%)

Memory
-13.4MiB live, 33.1MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
Outputs
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
Calls

2 calls:

5.0ms
x
4.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 15 to 12 computations (20% saved)

regimes11.0ms (0.1%)

Memory
-4.8MiB live, 34.1MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(approx (- x -1) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
Outputs
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))))
Calls

2 calls:

5.0ms
(/.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))))
5.0ms
x
Results
AccuracySegmentsBranch
99.0%2x
99.0%2(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 15 to 12 computations (20% saved)

regimes10.0ms (0.1%)

Memory
2.3MiB live, 39.8MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -6 binary64) #s(literal 6 binary64)))
Outputs
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))))
Calls

2 calls:

5.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
4.0ms
x
Results
AccuracySegmentsBranch
99.0%2x
99.0%2(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 15 to 12 computations (20% saved)

regimes7.0ms (0.1%)

Memory
-9.2MiB live, 30.4MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (fma.f64 #s(literal -24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
Outputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))))
Calls

2 calls:

4.0ms
x
2.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
99.0%2x
99.0%2(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 15 to 12 computations (20% saved)

regimes5.0ms (0.1%)

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

2 calls:

3.0ms
x
2.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
99.0%2x
99.0%2(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 15 to 12 computations (20% saved)

regimes4.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (* (+ (* (sqrt x) -4) 1) -6) (*.f64 #s(literal 24 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -6 binary64)))
Outputs
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
98.2%2x
98.2%2(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 15 to 12 computations (20% saved)

regimes43.0ms (0.5%)

Memory
-39.1MiB live, 5.5MiB allocated
Accuracy

Total -24.3b remaining (-64.9%)

Threshold costs -24.3b (-64.9%)

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

2 calls:

41.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
2.0ms
x
Results
AccuracySegmentsBranch
41.6%1x
41.6%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 15 to 12 computations (20% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-5.998344834764293
5.923159077700395
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-5.998344834764293
5.923159077700395
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-5.998344834764293
5.923159077700395
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-5.998344834764293
5.923159077700395
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-5.998344834764293
5.923159077700395
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify32.0ms (0.4%)

Memory
28.0MiB live, 67.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068438
185438
295438
3103438
4105438
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
(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 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
(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 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) #s(literal -5 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) #s(literal -5 binary64)) (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) #s(literal -5 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) #s(literal -5 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(approx (+ (* (/ (+ (* 4 (sqrt x)) 1) x) -6) 6) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)))
(if (<=.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) #s(literal -5 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (* (- 1 (* 16 x)) (/ 1 (- 1 (* (sqrt x) 4)))) x)) #s(literal 6 binary64))

soundness1.2s (14.4%)

Memory
-18.8MiB live, 1 012.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
01832
16932
252632
0844128
038192
061173
1281173
22207173
09408165
052228
069222
1300215
22271194
010023188
05295695
115695057
251634949
082914427
03414298
110583877
234413755
082653305
0131940
1372865
21058829
33148747
08504670
Stop Event
fuel
iter limit
node limit
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
Compiler

Compiled 531 to 312 computations (41.2% saved)

preprocess130.0ms (1.6%)

Memory
24.0MiB live, 182.2MiB allocated
Compiler

Compiled 430 to 140 computations (67.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...