Data.Approximate.Numerics:blog from approximate-0.2.2.1

Time bar (total: 8.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

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

Compiled 16 to 13 computations (18.8% saved)

sample1.4s (16.9%)

Memory
40.7MiB live, 1 258.1MiB allocated
Samples
866.0ms8 256×0valid
1.0ms14×0invalid
Precisions
Click to see histograms. Total time spent on operations: 653.0ms
ival-add: 258.0ms (39.5% of total)
ival-sub: 142.0ms (21.8% of total)
ival-mult: 119.0ms (18.2% of total)
ival-sqrt: 63.0ms (9.7% of total)
ival-div: 49.0ms (7.5% of total)
exact: 12.0ms (1.8% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain204.0ms (2.5%)

Memory
9.3MiB live, 87.2MiB 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
91.0ms482×0valid
3.0ms18×1valid
2.0ms12×2valid
Compiler

Compiled 104 to 37 computations (64.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-mult: 64.0ms (78.6% of total)
ival-add: 5.0ms (6.1% of total)
ival-sqrt: 4.0ms (4.9% of total)
ival-div: 3.0ms (3.7% of total)
ival-sub: 3.0ms (3.7% of total)
adjust: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess152.0ms (1.8%)

Memory
-19.7MiB live, 27.1MiB 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
0.6MiB live, 0.6MiB 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)

simplify56.0ms (0.7%)

Memory
-11.1MiB live, 27.4MiB 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)

localize28.0ms (0.3%)

Memory
12.3MiB live, 12.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(sqrt.f64 x)
accuracy0.00390625
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
accuracy0.0625
(*.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
17.0ms241×0valid
1.0ms1valid
1.0ms2valid
Compiler

Compiled 45 to 13 computations (71.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 3.0ms (25.5% of total)
ival-div: 2.0ms (17% of total)
ival-add: 2.0ms (17% of total)
ival-sub: 2.0ms (17% of total)
ival-sqrt: 2.0ms (17% of total)
adjust: 1.0ms (8.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
2.8MiB live, 2.8MiB 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))

simplify268.0ms (3.3%)

Memory
-1.2MiB live, 156.1MiB 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)

rewrite245.0ms (3%)

Memory
-12.7MiB live, 221.5MiB 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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eval81.0ms (1%)

Memory
1.2MiB live, 204.8MiB allocated
Compiler

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

prune19.0ms (0.2%)

Memory
-4.5MiB live, 74.4MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New58210592
Fresh000
Picked101
Done000
Total58310593
Accuracy
100.0%
Counts
593 → 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))))
64.6%
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal -216 binary64)) (fma.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
72.5%
(/.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)))
73.3%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
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)))
52.0%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
49.7%
(/.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))))
100.0%
(*.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))
51.2%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))
49.5%
#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 308 to 238 computations (22.7% saved)

simplify194.0ms (2.4%)

Memory
32.3MiB live, 191.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 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))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
cost-diff128
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
cost-diff1536
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))
cost-diff0
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
cost-diff0
(-.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
038260
062248
1104247
2164247
3260247
4524247
5957247
62316240
74011240
85328240
96395240
107246240
117585240
127817240
137869240
09183233
Stop Event
iter limit
node limit
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)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #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)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
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 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 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)
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(sqrt.f64 x)
#s(literal 4 binary64)
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x))
(/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
#s(literal -4 binary64)
(sqrt.f64 x)
#s(literal -1 binary64)
#s(literal 6 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
#s(literal -6 binary64)
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
x
#s(literal 4 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
#s(literal 6 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal 4 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #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)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
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 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 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)
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(-.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(literal 4 binary64)

localize191.0ms (2.3%)

Memory
-37.0MiB live, 304.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
accuracy0.0625
(*.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 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
accuracy16.40180025607883
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy0.14453125
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy0.1640625
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))
accuracy31.182657403125674
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))
accuracy0
(sqrt.f64 x)
accuracy0.0625
(*.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))))
accuracy30.726704255577896
#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)
accuracy0.171875
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
accuracy32.30735553934452
#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 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)
accuracy0.0078125
(*.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))
accuracy0.02734375
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x))
Samples
156.0ms241×0valid
4.0ms1valid
4.0ms2valid
Compiler

Compiled 243 to 36 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-mult: 52.0ms (54.4% of total)
ival-div: 25.0ms (26.2% of total)
ival-add: 7.0ms (7.3% of total)
ival-sub: 5.0ms (5.2% of total)
ival-sqrt: 4.0ms (4.2% of total)
adjust: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series30.0ms (0.4%)

Memory
-11.2MiB live, 68.2MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) (patch (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (patch (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (patch #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (patch (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (patch (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.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 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (patch (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
Outputs
#s(alt (/ 6 (- (* -4 (sqrt x)) 1)) (taylor 0 x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 6 (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 6 (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (* 6 (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 6 (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (* x (+ (* 6 (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))) (- (* -4 (sqrt x)) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
8.0ms
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)) (+ (+ x 1) (* 4 (sqrt x)))) (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (+ (* (sqrt (/ 1 x)) 4) 1) (sqrt (/ 1 x)) (+ (* (- 1 (* x x)) (/ 1 (- 1 x))) (* (sqrt x) 4)) (/ (* 6 (- x 1)) (+ (* (- 1 (* x x)) (/ 1 (- 1 x))) (* (sqrt x) 4))) (/ 1 x) (/ 1 (- 1 x)))
5.0ms
x
@-inf
((* (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) 6) (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (- 1 x) (- (+ (* -4 (sqrt x)) -1) x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* (sqrt x) 4) 1) (sqrt x) (* 6 (- x 1)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (+ (* (sqrt (/ 1 x)) 4) 1) (sqrt (/ 1 x)) (+ (* (- 1 (* x x)) (/ 1 (- 1 x))) (* (sqrt x) 4)) (/ (* 6 (- x 1)) (+ (* (- 1 (* x x)) (/ 1 (- 1 x))) (* (sqrt x) 4))) (/ 1 x) (/ 1 (- 1 x)))
4.0ms
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)) (+ (+ x 1) (* 4 (sqrt x)))) (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (+ (* (sqrt (/ 1 x)) 4) 1) (sqrt (/ 1 x)) (+ (* (- 1 (* x x)) (/ 1 (- 1 x))) (* (sqrt x) 4)) (/ (* 6 (- x 1)) (+ (* (- 1 (* x x)) (/ 1 (- 1 x))) (* (sqrt x) 4))) (/ 1 x) (/ 1 (- 1 x)))

simplify186.0ms (2.3%)

Memory
6.1MiB live, 365.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03805622
110844971
233154780
084874334
Stop Event
iter limit
node limit
Counts
240 → 238
Calls
Call 1
Inputs
(/ 6 (- (* -4 (sqrt x)) 1))
(+ (* 6 (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(+ (* x (+ (* 6 (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (* 6 (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(+ (* x (+ (* 6 (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (* x (+ (* 6 (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))) (- (* -4 (sqrt x)) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(/ 1 (- (* -4 (sqrt x)) 1))
(+ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1)))
(+ (* x (- (+ (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1))) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1)))
(+ (* x (- (+ (* x (- (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (pow (- (* -4 (sqrt x)) 1) 2)) (* -1 (/ (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))) (- (* -4 (sqrt x)) 1))))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(- (* -4 (sqrt x)) 1)
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
-6
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
-1
(- x 1)
(- x 1)
(- x 1)
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(/ -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))))))
(* 3/2 (sqrt x))
(* x (- (* 3/2 (sqrt (/ 1 x))) 3/8))
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 3/32 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))))
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* -1 (* x (+ (* -3/32 (sqrt (/ 1 (pow x 3)))) (* 3/128 (/ 1 x))))) (* 3/8 (/ 1 x))))))
(* 4 (sqrt (/ 1 x)))
(/ (+ x (* 4 (sqrt x))) x)
(/ (+ x (* 4 (sqrt x))) x)
(/ (+ x (* 4 (sqrt x))) x)
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt 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 (- 1 (/ 1 x))))
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(* -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)))
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(* -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))
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(/ -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
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(* -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))
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(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 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))))
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(/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
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(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
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(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 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)
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(/ 1 x)
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Outputs
(/ 6 (- (* -4 (sqrt x)) 1))
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(+ (* 6 (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(fma.f64 (+.f64 (/.f64 #s(literal 6 binary64) (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 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(+ (* x (+ (* 6 (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (* 6 (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
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(+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
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(+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
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(+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal 1 binary64))
(+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal 1 binary64))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
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(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
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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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(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
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(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
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(/ 1 x)
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(/ 1 x)
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(/ 1 x)
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(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x)) (neg.f64 x))

rewrite205.0ms (2.5%)

Memory
11.4MiB live, 323.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038200
062194
1263176
22029176
08681171
Stop Event
iter limit
node limit
iter limit
Counts
20 → 753
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)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.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 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
Outputs
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eval215.0ms (2.6%)

Memory
7.9MiB live, 353.7MiB allocated
Compiler

Compiled 32 711 to 3 827 computations (88.3% saved)

prune245.0ms (3%)

Memory
-156.8MiB live, 89.3MiB allocated
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New1 300131 313
Fresh235
Picked325
Done000
Total1 305181 323
Accuracy
100.0%
Counts
1 323 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.3%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
99.8%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
52.0%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
99.8%
(/.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)))
4.5%
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
49.7%
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
99.9%
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) #s(literal 6 binary64))
52.0%
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
100.0%
(*.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))
51.5%
(*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
52.0%
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
49.5%
(*.f64 #s(approx (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) #s(literal 6 binary64))
51.2%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
49.5%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
4.4%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
49.5%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
4.3%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))
4.4%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 441 to 343 computations (22.2% saved)

simplify204.0ms (2.5%)

Memory
5.4MiB live, 204.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)))
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
cost-diff320
(*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))
cost-diff0
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff128
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
#s(approx (* 6 (- x 1)) #s(literal -6 binary64))
cost-diff0
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
cost-diff128
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))
cost-diff0
#s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))
cost-diff320
(*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))
cost-diff320
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))
cost-diff384
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64)))
cost-diff4992
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049388
074365
1142365
2342311
31263311
45745311
08197301
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) #s(literal 6 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)))
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))
#s(literal 1 binary64)
(/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
(sqrt.f64 x)
x
#s(literal -4 binary64)
#s(literal -1 binary64)
(*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))
#s(literal 6 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))
#s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))
#s(literal 3/2 binary64)
(sqrt.f64 x)
x
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
#s(approx (* 6 (- x 1)) #s(literal -6 binary64))
#s(literal -6 binary64)
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
#s(literal 4 binary64)
(sqrt.f64 x)
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
#s(literal 6 binary64)
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)))
#s(literal -6 binary64)
(fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))
#s(literal 16 binary64)
x
#s(literal -1 binary64)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
Outputs
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) #s(literal 6 binary64))
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) 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 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) x)
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))
(/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) x)
#s(literal 1 binary64)
(/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)
(/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) x)
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
(-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)
(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 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))
(-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)
(*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))))
#s(literal 6 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))
#s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))
#s(literal 3/2 binary64)
(sqrt.f64 x)
x
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))))
#s(approx (* 6 (- x 1)) #s(literal -6 binary64))
#s(literal -6 binary64)
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
#s(literal 1 binary64)
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
#s(literal 4 binary64)
(sqrt.f64 x)
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(/.f64 (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 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
#s(literal 6 binary64)
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -24 binary64) (sqrt.f64 x) #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)))
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)))
#s(literal -6 binary64)
(fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))
#s(literal 16 binary64)
x
#s(literal -1 binary64)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)

localize107.0ms (1.3%)

Memory
4.4MiB live, 239.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(sqrt.f64 x)
accuracy0.0078125
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)))
accuracy0.162441259768442
(*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))
accuracy32.30735553934452
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
accuracy0
(sqrt.f64 x)
accuracy0.046875
(/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
accuracy0.08203125
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
accuracy30.726704255577896
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
accuracy0
(sqrt.f64 x)
accuracy0.00390625
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
accuracy0.11328125
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
accuracy32.54875190630668
#s(approx (* 6 (- x 1)) #s(literal -6 binary64))
accuracy0
(sqrt.f64 x)
accuracy0.2890625
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))
accuracy31.182657403125674
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))
accuracy31.31770400768218
#s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))
accuracy0.0078125
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) #s(literal 6 binary64))
accuracy0.01953125
(*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))
accuracy0.03125
(/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)
accuracy0.046875
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)))
Samples
70.0ms241×0valid
4.0ms1valid
4.0ms2valid
Compiler

Compiled 357 to 42 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 20.0ms (34.9% of total)
ival-div: 15.0ms (26.1% of total)
ival-add: 12.0ms (20.9% of total)
ival-sub: 4.0ms (7% of total)
ival-sqrt: 4.0ms (7% of total)
adjust: 1.0ms (1.7% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series41.0ms (0.5%)

Memory
2.2MiB live, 52.5MiB allocated
Counts
23 → 276
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (patch (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (patch (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64)) (patch (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) (patch #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (patch #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (patch (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) (patch (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x) (patch (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (patch (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) #s(literal 6 binary64)) (patch (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) #s(literal 6 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ 1 (- (* -4 (sqrt x)) 1)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
16.0ms
x
@inf
((/ (- (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1)) (* (- (+ (* (sqrt x) -4) -1) x) (/ (- (+ (* (sqrt x) -4) -1) x) x))) (- (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1)) (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (* 3/2 (sqrt x)) (sqrt x) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (+ x 1) (* (- x 1) (/ 6 (+ (+ x 1) (* 4 (sqrt x))))) (- x 1) (/ 6 (+ (+ x 1) (* 4 (sqrt x)))) (+ (+ x 1) (* 4 (sqrt x))) (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* 16 x) -1)) (+ (* 16 x) -1) (/ (- (+ (* (sqrt x) -4) -1) x) x) (* (- (+ (* (sqrt x) -4) -1) x) (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (/ (- (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1)) (* (- (+ (* (sqrt x) -4) -1) x) (/ (- (+ (* (sqrt x) -4) -1) x) x))) 6))
7.0ms
x
@-inf
((/ (- (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1)) (* (- (+ (* (sqrt x) -4) -1) x) (/ (- (+ (* (sqrt x) -4) -1) x) x))) (- (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1)) (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (* 3/2 (sqrt x)) (sqrt x) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (+ x 1) (* (- x 1) (/ 6 (+ (+ x 1) (* 4 (sqrt x))))) (- x 1) (/ 6 (+ (+ x 1) (* 4 (sqrt x)))) (+ (+ x 1) (* 4 (sqrt x))) (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* 16 x) -1)) (+ (* 16 x) -1) (/ (- (+ (* (sqrt x) -4) -1) x) x) (* (- (+ (* (sqrt x) -4) -1) x) (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (/ (- (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1)) (* (- (+ (* (sqrt x) -4) -1) x) (/ (- (+ (* (sqrt x) -4) -1) x) x))) 6))
5.0ms
x
@0
((/ (- (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1)) (* (- (+ (* (sqrt x) -4) -1) x) (/ (- (+ (* (sqrt x) -4) -1) x) x))) (- (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1)) (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (* 3/2 (sqrt x)) (sqrt x) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (+ x 1) (* (- x 1) (/ 6 (+ (+ x 1) (* 4 (sqrt x))))) (- x 1) (/ 6 (+ (+ x 1) (* 4 (sqrt x)))) (+ (+ x 1) (* 4 (sqrt x))) (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* 16 x) -1)) (+ (* 16 x) -1) (/ (- (+ (* (sqrt x) -4) -1) x) x) (* (- (+ (* (sqrt x) -4) -1) x) (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (/ (- (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1)) (* (- (+ (* (sqrt x) -4) -1) x) (/ (- (+ (* (sqrt x) -4) -1) x) x))) 6))

simplify169.0ms (2.1%)

Memory
-2.3MiB live, 261.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06298312
118917179
261967111
083396407
Stop Event
iter limit
node limit
Counts
276 → 272
Calls
Call 1
Inputs
(/ 1 (- (* -4 (sqrt x)) 1))
(+ (* x (+ (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (/ 1 (- (* -4 (sqrt x)) 1)))
(+ (* x (+ (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (+ (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (+ (* -2 (/ (+ (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (- (* -4 (sqrt x)) 1))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 3)))))))) (/ 1 (- (* -4 (sqrt x)) 1)))
(+ (* x (+ (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (+ (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (+ (* -2 (/ (+ (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (- (* -4 (sqrt x)) 1))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 3)))) (- (* -4 (sqrt x)) 1))) (+ (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 4))) (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 4)))))))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (+ (* -2 (/ (+ (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (- (* -4 (sqrt x)) 1))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 3)))))))) (/ 1 (- (* -4 (sqrt x)) 1)))
(/ (- (* -4 (sqrt x)) 1) x)
(/ (- (+ (* -4 (sqrt x)) (* 4 (sqrt (pow x 3)))) 1) x)
(/ (- (+ (* -4 (sqrt x)) (* x (- x (* -4 (sqrt x))))) 1) x)
(/ (- (+ (* -4 (sqrt x)) (* x (- x (* -4 (sqrt x))))) 1) x)
(/ (- (* -4 (sqrt x)) 1) x)
(/ (- (+ (* -4 (sqrt x)) (* -1 x)) 1) x)
(/ (- (+ (* -4 (sqrt x)) (* -1 x)) 1) x)
(/ (- (+ (* -4 (sqrt x)) (* -1 x)) 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))))))
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(* 3/2 (sqrt x))
(* x (- (* 3/2 (sqrt (/ 1 x))) 3/8))
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 3/32 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))))
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* -1 (* x (+ (* -3/32 (sqrt (/ 1 (pow x 3)))) (* 3/128 (/ 1 x))))) (* 3/8 (/ 1 x))))))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
-6
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
-1
(- x 1)
(- x 1)
(- x 1)
(/ 6 (+ 1 (* 4 (sqrt x))))
(+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(+ (* x (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(+ (* x (- (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(* 6 (- (* 4 (sqrt x)) 1))
(+ (* 6 (- (* 4 (sqrt x)) 1)) (* 96 (* x (- (* 4 (sqrt x)) 1))))
(+ (* 6 (- (* 4 (sqrt x)) 1)) (* x (+ (* 96 (- (* 4 (sqrt x)) 1)) (* 1536 (* x (- (* 4 (sqrt x)) 1))))))
(+ (* 6 (- (* 4 (sqrt x)) 1)) (* x (+ (* 96 (- (* 4 (sqrt x)) 1)) (* x (+ (* 1536 (- (* 4 (sqrt x)) 1)) (* 24576 (* x (- (* 4 (sqrt x)) 1))))))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
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6
(+ 6 (* 96 x))
(+ 6 (* x (+ 96 (* 1536 x))))
(+ 6 (* x (+ 96 (* x (+ 1536 (* 24576 x))))))
-1
(- (* 16 x) 1)
(- (* 16 x) 1)
(- (* 16 x) 1)
(/ (- (* -4 (sqrt x)) 1) x)
(/ (- (+ (* -4 (sqrt x)) (* -1 x)) 1) x)
(/ (- (+ (* -4 (sqrt x)) (* -1 x)) 1) x)
(/ (- (+ (* -4 (sqrt x)) (* -1 x)) 1) x)
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(* x (- (+ 1 (* -4 (sqrt (/ 1 (pow x 3))))) (+ (* -4 (sqrt (/ 1 x))) (/ 1 (pow x 2)))))
(* x (- (+ 1 (* -4 (sqrt (/ 1 (pow x 3))))) (+ (* -4 (sqrt (/ 1 x))) (/ 1 (pow x 2)))))
(- (* -4 (sqrt (/ 1 x))) 1)
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(* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))
(* -1 (* x (+ (* -2 (/ (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))))
(* -1 (* x (+ (* -1 (/ (+ (* 2 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 x)) x)) (* -1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))))
(* -1 (* x (+ (* -1 (/ (+ (* 2 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 x)) x)) (* -1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))))
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ (- (+ (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 2 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (+ (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 2 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) (* -6 (/ (+ (* -2 (/ (- (+ (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 2 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x))) x)) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
Outputs
(/ 1 (- (* -4 (sqrt x)) 1))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(+ (* x (+ (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (/ 1 (- (* -4 (sqrt x)) 1)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 2 binary64))) x (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
(+ (* x (+ (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (+ (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (+ (* -2 (/ (+ (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (- (* -4 (sqrt x)) 1))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 3)))))))) (/ 1 (- (* -4 (sqrt x)) 1)))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (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 2 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))))) x (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
(+ (* x (+ (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (+ (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (+ (* -2 (/ (+ (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (- (* -4 (sqrt x)) 1))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 3)))) (- (* -4 (sqrt x)) 1))) (+ (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 4))) (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 4)))))))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (+ (* -2 (/ (+ (* 4 (* (sqrt x) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* 2 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (- (* -4 (sqrt x)) 1))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 3)))))))) (/ 1 (- (* -4 (sqrt x)) 1)))
(fma.f64 (fma.f64 (fma.f64 (neg.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 2 binary64))) (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 2 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 2 binary64)))) (-.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 (/.f64 (*.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 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)))))) x (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
(/ (- (* -4 (sqrt x)) 1) x)
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
(/ (- (+ (* -4 (sqrt x)) (* 4 (sqrt (pow x 3)))) 1) x)
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 4 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) x)
(/ (- (+ (* -4 (sqrt x)) (* x (- x (* -4 (sqrt x))))) 1) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) x)
(/ (- (+ (* -4 (sqrt x)) (* x (- x (* -4 (sqrt x))))) 1) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) x)
(/ (- (* -4 (sqrt x)) 1) x)
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
(/ (- (+ (* -4 (sqrt x)) (* -1 x)) 1) x)
(/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) x)
(/ (- (+ (* -4 (sqrt x)) (* -1 x)) 1) x)
(/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) x)
(/ (- (+ (* -4 (sqrt x)) (* -1 x)) 1) x)
(/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) x)
(- (* -4 (sqrt x)) 1)
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(fma.f64 #s(literal -1 binary64) x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(fma.f64 #s(literal -1 binary64) x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(fma.f64 #s(literal -1 binary64) x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) x (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 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 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) x (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 6 binary64) (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 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 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) x (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(* 3/2 (sqrt x))
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))
(* x (- (* 3/2 (sqrt (/ 1 x))) 3/8))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x)
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 3/32 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 3/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -3/8 binary64) x)) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) x)
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* -1 (* x (+ (* -3/32 (sqrt (/ 1 (pow x 3)))) (* 3/128 (/ 1 x))))) (* 3/8 (/ 1 x))))))
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal -3/8 binary64) x) (fma.f64 (*.f64 x #s(literal -3/32 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3/128 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) x)
(* 3/2 (sqrt x))
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))
(* 3/2 (sqrt x))
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))
(* 3/2 (sqrt x))
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))
(* 3/2 (sqrt x))
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(+ 1 (* 4 (sqrt x)))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (+ x (* 4 (sqrt x))))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))
(+ 1 (+ x (* 4 (sqrt x))))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))
(+ 1 (+ x (* 4 (sqrt x))))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) x (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 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 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) x (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 6 binary64) (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 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 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) x (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
-6
#s(literal -6 binary64)
(- (* 6 x) 6)
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(- (* 6 x) 6)
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(- (* 6 x) 6)
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) x (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
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(* -1 (/ (+ 3/8 (* -1 (/ (- (* -1 (/ (+ 3/2048 (* 3/32768 (/ 1 x))) x)) 3/128) x))) x))
(/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 (-.f64 #s(literal -3/128 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/32768 binary64) x) #s(literal 3/2048 binary64)) x)) x)) (neg.f64 x))
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(* -1 (* x (- (/ 1 x) 16)))
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(* -1 (* x (- (/ 1 x) 16)))
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(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(- (* -1 (+ 1 (* -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) (/.f64 #s(literal 1 binary64) x)))
(- (* -1 (+ 1 (* -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) (/.f64 #s(literal 1 binary64) x)))
(* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))
(*.f64 (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 (* x (+ (* -2 (/ (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x) #s(literal -2 binary64) (neg.f64 (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ (* 2 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 x)) x)) (* -1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) x)
(* -1 (* x (+ (* -1 (/ (+ (* 2 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 x)) x)) (* -1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) x)
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) x) #s(literal -6 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (+ (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 2 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) (* -6 (/ (+ (* -2 (/ (- (+ (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 2 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x))) x)) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
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rewrite188.0ms (2.3%)

Memory
9.2MiB live, 213.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049334
074311
1297277
22438277
09266269
Stop Event
iter limit
node limit
iter limit
Counts
23 → 1 019
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)))
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))
#s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
#s(approx (* 6 (- x 1)) #s(literal -6 binary64))
(+.f64 x #s(literal 1 binary64))
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(-.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)))
(fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))
(/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)
(*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) #s(literal 6 binary64))
Outputs
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eval289.0ms (3.5%)

Memory
16.8MiB live, 394.8MiB allocated
Compiler

Compiled 68 213 to 5 647 computations (91.7% saved)

prune65.0ms (0.8%)

Memory
-1.2MiB live, 121.2MiB allocated
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New1 51141 515
Fresh3811
Picked325
Done112
Total1 518151 533
Accuracy
100.0%
Counts
1 533 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.3%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
99.8%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
52.0%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
99.8%
(/.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)))
4.5%
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
49.7%
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
52.0%
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
100.0%
(*.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))
50.3%
(*.f64 (/.f64 #s(approx (- (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) #s(literal 6 binary64))
51.5%
(*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
52.0%
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
51.2%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
50.7%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
51.8%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
4.3%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))
Compiler

Compiled 351 to 279 computations (20.5% saved)

simplify130.0ms (1.6%)

Memory
-15.2MiB live, 57.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
039259
060253
1103247
2131247
3151247
4206247
5295247
6432247
7755247
81272247
92103247
102662247
112745247
122782247
132812247
142831247
152868247
162884247
172889247
182890247
02890244
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.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)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
(*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))
#s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64))
#s(literal 6 binary64)
(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)
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
#s(approx (* 6 (- x 1)) #s(literal -6 binary64))
#s(literal -6 binary64)
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)
#s(literal 4 binary64)
(sqrt.f64 x)
x
#s(literal 1 binary64)
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
x
#s(literal 6 binary64)
#s(literal -6 binary64)
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal 4 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
#s(literal 6 binary64)
Outputs
(/.f64 (*.f64 #s(literal 6 binary64) (-.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 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) 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 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)
(sqrt.f64 x)
#s(literal 4 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64))))
(*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)))
#s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64))
#s(literal 6 binary64)
(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)
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
(/.f64 #s(approx (* 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 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)
#s(literal 4 binary64)
(sqrt.f64 x)
x
#s(literal 1 binary64)
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
x
#s(literal 6 binary64)
#s(literal -6 binary64)
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal 4 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
#s(literal 6 binary64)

localize124.0ms (1.5%)

Memory
25.7MiB live, 188.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(sqrt.f64 x)
accuracy0.0078125
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
accuracy0.02734375
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
accuracy30.726704255577896
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
accuracy0
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
accuracy0
(sqrt.f64 x)
accuracy0.11328125
(/.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))))
accuracy30.726704255577896
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
accuracy0
(sqrt.f64 x)
accuracy0.01171875
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)
accuracy0.11328125
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
accuracy32.54875190630668
#s(approx (* 6 (- x 1)) #s(literal -6 binary64))
accuracy0
(sqrt.f64 x)
accuracy0.162441259768442
(*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))
accuracy32.25985871598307
#s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64))
accuracy32.30735553934452
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
accuracy0
(sqrt.f64 x)
accuracy0.01171875
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
accuracy0.0625
(*.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)))
Samples
79.0ms241×0valid
4.0ms1valid
4.0ms2valid
Compiler

Compiled 219 to 35 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-add: 42.0ms (61.9% of total)
ival-mult: 11.0ms (16.2% of total)
ival-div: 9.0ms (13.3% of total)
adjust: 2.0ms (2.9% of total)
ival-sub: 2.0ms (2.9% of total)
ival-sqrt: 2.0ms (2.9% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series51.0ms (0.6%)

Memory
-38.5MiB live, 20.5MiB allocated
Counts
21 → 252
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 #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 x #s(literal 1 binary64)) (patch (-.f64 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 #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) (patch #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) (patch (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (patch #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) (patch (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) #<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 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (patch #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) (patch (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (patch (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) (patch (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #<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>) () ())) ())
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#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
37.0ms
x
@-inf
((* 6 (- x 1)) (/ (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1)) (- x 1) (+ (+ (* (sqrt x) 4) x) 1) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1) (/ (* 6 (- x 1)) (+ (+ (* 4 (sqrt x)) x) 1)) (* 6 (- x 1)) (+ (+ (* 4 (sqrt x)) x) 1) (+ (* 4 (sqrt x)) x) (/ (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x)))) (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x))) (+ (* (sqrt x) 4) 1) (* (/ (- x 1) (+ (+ x 1) (* 4 (sqrt x)))) 6) (/ (- x 1) (+ (+ x 1) (* 4 (sqrt x)))) (+ (+ x 1) (* 4 (sqrt x))) (+ (* (sqrt x) 4) x) (sqrt x))
2.0ms
x
@inf
((* 6 (- x 1)) (/ (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1)) (- x 1) (+ (+ (* (sqrt x) 4) x) 1) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1) (/ (* 6 (- x 1)) (+ (+ (* 4 (sqrt x)) x) 1)) (* 6 (- x 1)) (+ (+ (* 4 (sqrt x)) x) 1) (+ (* 4 (sqrt x)) x) (/ (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x)))) (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x))) (+ (* (sqrt x) 4) 1) (* (/ (- x 1) (+ (+ x 1) (* 4 (sqrt x)))) 6) (/ (- x 1) (+ (+ x 1) (* 4 (sqrt x)))) (+ (+ x 1) (* 4 (sqrt x))) (+ (* (sqrt x) 4) x) (sqrt x))
2.0ms
x
@0
((* 6 (- x 1)) (/ (* 6 (- x 1)) (+ (+ (* (sqrt x) 4) x) 1)) (- x 1) (+ (+ (* (sqrt x) 4) x) 1) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1) (/ (* 6 (- x 1)) (+ (+ (* 4 (sqrt x)) x) 1)) (* 6 (- x 1)) (+ (+ (* 4 (sqrt x)) x) 1) (+ (* 4 (sqrt x)) x) (/ (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x)))) (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x))) (+ (* (sqrt x) 4) 1) (* (/ (- x 1) (+ (+ x 1) (* 4 (sqrt x)))) 6) (/ (- x 1) (+ (+ x 1) (* 4 (sqrt x)))) (+ (+ x 1) (* 4 (sqrt x))) (+ (* (sqrt x) 4) x) (sqrt x))

simplify417.0ms (5.1%)

Memory
30.5MiB live, 259.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03695851
111125135
233125013
087234485
Stop Event
iter limit
node limit
Counts
252 → 250
Calls
Call 1
Inputs
-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))))))
(- (* 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 (- (* 4 (sqrt x)) 1))
(+ (* 6 (- (* 4 (sqrt x)) 1)) (* 96 (* x (- (* 4 (sqrt x)) 1))))
(+ (* 6 (- (* 4 (sqrt x)) 1)) (* x (+ (* 96 (- (* 4 (sqrt x)) 1)) (* 1536 (* x (- (* 4 (sqrt x)) 1))))))
(+ (* 6 (- (* 4 (sqrt x)) 1)) (* x (+ (* 96 (- (* 4 (sqrt x)) 1)) (* x (+ (* 1536 (- (* 4 (sqrt x)) 1)) (* 24576 (* x (- (* 4 (sqrt x)) 1))))))))
6
(+ 6 (* 96 x))
(+ 6 (* x (+ 96 (* 1536 x))))
(+ 6 (* x (+ 96 (* x (+ 1536 (* 24576 x))))))
(- (* 4 (sqrt x)) 1)
(- (* 4 (sqrt x)) 1)
(- (* 4 (sqrt x)) 1)
(- (* 4 (sqrt x)) 1)
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
-6
(- (* 6 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)))
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(* -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)))
(* -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))
(/ -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 #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))))
-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))
(+ 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 (/.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 #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 (- (* 4 (sqrt x)) 1))
(fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))
(+ (* 6 (- (* 4 (sqrt x)) 1)) (* 96 (* x (- (* 4 (sqrt x)) 1))))
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64)))
(+ (* 6 (- (* 4 (sqrt x)) 1)) (* x (+ (* 96 (- (* 4 (sqrt x)) 1)) (* 1536 (* x (- (* 4 (sqrt x)) 1))))))
(fma.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal -1 binary64)) x) (fma.f64 #s(literal 1536 binary64) x #s(literal 96 binary64)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
(+ (* 6 (- (* 4 (sqrt x)) 1)) (* x (+ (* 96 (- (* 4 (sqrt x)) 1)) (* x (+ (* 1536 (- (* 4 (sqrt x)) 1)) (* 24576 (* x (- (* 4 (sqrt x)) 1))))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 24576 binary64) x #s(literal 1536 binary64))) x (fma.f64 #s(literal 384 binary64) (sqrt.f64 x) #s(literal -96 binary64))) x (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64)))
6
#s(literal 6 binary64)
(+ 6 (* 96 x))
(fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))
(+ 6 (* x (+ 96 (* 1536 x))))
(fma.f64 (fma.f64 #s(literal 1536 binary64) x #s(literal 96 binary64)) x #s(literal 6 binary64))
(+ 6 (* x (+ 96 (* x (+ 1536 (* 24576 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 24576 binary64) x #s(literal 1536 binary64)) x #s(literal 96 binary64)) x #s(literal 6 binary64))
(- (* 4 (sqrt x)) 1)
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* 4 (sqrt x)) 1)
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* 4 (sqrt x)) 1)
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* 4 (sqrt x)) 1)
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal -1 binary64))
(/ -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 #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 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))
(* 4 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(+ x (* 4 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
(+ x (* 4 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
(+ x (* 4 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
(/ -6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal -6 binary64) (fma.f64 (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 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))
(+ 1 (* 4 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (* 4 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (* 4 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (* 4 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(/ -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))))))
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(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
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(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
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(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 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))))
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(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
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(* -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)
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(sqrt.f64 x)

rewrite343.0ms (4.2%)

Memory
6.3MiB live, 248.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039222
060216
1276210
21596210
08716207
Stop Event
iter limit
node limit
iter limit
Counts
21 → 758
Calls
Call 1
Inputs
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
(*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))
#s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
#s(approx (* 6 (- x 1)) #s(literal -6 binary64))
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
#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) x)
(sqrt.f64 x)
Outputs
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eval278.0ms (3.4%)

Memory
4.4MiB live, 279.3MiB allocated
Compiler

Compiled 25 755 to 2 667 computations (89.6% saved)

prune167.0ms (2%)

Memory
-19.4MiB live, 65.7MiB allocated
Pruning

16 alts after pruning (10 fresh and 6 done)

PrunedKeptTotal
New1 14651 151
Fresh257
Picked235
Done033
Total1 150161 166
Accuracy
100.0%
Counts
1 166 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.3%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
99.8%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
52.0%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
6.8%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
4.5%
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
51.3%
(/.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)))
49.7%
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
52.0%
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
100.0%
(*.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))
50.3%
(*.f64 (/.f64 #s(approx (- (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) #s(literal 6 binary64))
51.5%
(*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
52.0%
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
51.2%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
50.7%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
4.3%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))
51.8%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))))
Compiler

Compiled 653 to 296 computations (54.7% saved)

regimes26.0ms (0.3%)

Memory
-9.7MiB live, 27.3MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) #s(literal 6 binary64))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 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 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.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 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(*.f64 (/.f64 #s(approx (- (* 1 (/ (- (+ (* (sqrt x) -4) -1) x) x)) (* (- (+ (* (sqrt x) -4) -1) x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) #s(literal 6 binary64))
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) x))) #s(literal 6 binary64))
(/.f64 (*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal -216 binary64)) (fma.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
Calls

2 calls:

16.0ms
x
8.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 15 to 12 computations (20% saved)

regimes15.0ms (0.2%)

Memory
29.3MiB live, 29.3MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) #s(literal 6 binary64))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))
Outputs
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
Calls

2 calls:

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

regimes31.0ms (0.4%)

Memory
-16.5MiB live, 22.1MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) #s(literal 6 binary64))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
Calls

2 calls:

24.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
6.0ms
x
Results
AccuracySegmentsBranch
98.9%2x
98.9%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
18.3MiB live, 18.3MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) #s(literal 6 binary64))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
Outputs
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.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
98.9%2x
98.9%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)

regimes29.0ms (0.3%)

Memory
-28.0MiB live, 16.0MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) #s(literal 6 binary64))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
Outputs
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
Calls

2 calls:

23.0ms
(/.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
98.9%2x
98.9%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)

regimes9.0ms (0.1%)

Memory
19.9MiB live, 19.9MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) #s(literal 6 binary64))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
Outputs
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
Calls

2 calls:

4.0ms
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
52.0%1x
52.0%1(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 15 to 12 computations (20% saved)

regimes56.0ms (0.7%)

Memory
-21.3MiB live, 16.6MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (*.f64 #s(approx (/ -6 (+ (* 16 x) -1)) (fma.f64 #s(literal 96 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) #s(literal 6 binary64))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
Outputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))))
Calls

2 calls:

51.0ms
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
51.8%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))))
51.8%1x
Compiler

Compiled 15 to 12 computations (20% saved)

regimes3.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
x
1.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
4.3%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))))
4.3%1x
Compiler

Compiled 15 to 12 computations (20% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-5.921769379205513
5.9999972424891155
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
-5.921769379205513
5.9999972424891155
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
-5.921769379205513
5.9999972424891155
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify71.0ms (0.9%)

Memory
-1.3MiB live, 37.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067288
185288
292288
399288
4100288
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)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.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 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.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)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) #s(literal -5 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.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 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) #s(literal -5 binary64)) (*.f64 (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.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)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) #s(literal -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)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (* (/ -6 (+ (* 16 x) -1)) (+ (* 4 (sqrt x)) -1)) (fma.f64 #s(literal 24 binary64) (sqrt.f64 x) #s(literal -6 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))

soundness1.6s (19%)

Memory
6.7MiB live, 1 097.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03805622
110844971
233154780
084874334
03695851
111125135
233125013
087234485
06298312
118917179
261967111
083396407
038200
062194
1263176
22029176
08681171
039222
060216
1276210
21596210
08716207
01132
01832
16932
252632
0844128
0131940
1372865
21058829
33148747
08504670
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 455 to 257 computations (43.5% saved)

preprocess122.0ms (1.5%)

Memory
-24.7MiB live, 130.7MiB allocated
Compiler

Compiled 380 to 142 computations (62.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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