Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E

Time bar (total: 2.3s)

start0.0ms (0.0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze8.0ms (0.4%)

Memory
19.4MiB live, 19.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%99.9%0.1%0.0%0.0%0.0%0
0.0%0.0%99.9%0.1%0.0%0.0%0.0%1
50.0%50.0%50.0%0.1%0.0%0.0%0.0%2
50.0%50.0%50.0%0.1%0.0%0.0%0.0%3
66.7%50.0%25.0%0.1%0.0%25.0%0.0%4
66.7%50.0%25.0%0.1%0.0%25.0%0.0%5
80.0%50.0%12.5%0.1%0.0%37.5%0.0%6
80.0%50.0%12.5%0.1%0.0%37.5%0.0%7
88.9%50.0%6.2%0.1%0.0%43.7%0.0%8
88.9%50.0%6.2%0.1%0.0%43.7%0.0%9
94.1%50.0%3.1%0.1%0.0%46.8%0.0%10
94.1%50.0%3.1%0.1%0.0%46.8%0.0%11
97.0%50.0%1.6%0.1%0.0%48.4%0.0%12
Compiler

Compiled 10 to 9 computations (10.0% saved)

sample755.0ms (32.4%)

Memory
13.8MiB live, 1 099.8MiB allocated; 397ms collecting garbage
Samples
434.0ms8 255×0valid
9.0ms242×0invalid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 249.0ms
ival-sub!: 98.0ms (39.4% of total)
ival-sqrt: 90.0ms (36.2% of total)
ival-mult!: 39.0ms (15.7% of total)
ival-add!: 21.0ms (8.4% of total)
adjust: 2.0ms (0.8% of total)
Bogosity

preprocess54.0ms (2.3%)

Memory
-17.6MiB live, 35.6MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02151
17950
225549
364248
4299548
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Symmetry

(abs x)

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
Outputs
#s(literal 1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series11.0ms (0.5%)

Memory
31.8MiB live, 31.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071307
Stop Event
iter-limit
Counts
7 → 23
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x (*.f64 y (sqrt.f64 x)))))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx x x)
#s(approx (* y (sqrt x)) (*.f64 y (sqrt.f64 x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 x (-.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 x (-.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (* y (sqrt x)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* y (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (sqrt x) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) x))
#s(approx y y)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))))
Calls

6 calls:

TimeVariablePoint
1.0ms
x
-inf
1.0ms
x
inf
1.0ms
y
-inf
1.0ms
x
0
1.0ms
y
inf

rewrite115.0ms (4.9%)

Memory
2.8MiB live, 240.5MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01120
16120
220620
360720
4201220
0400719
Stop Event
iter-limit
node-limit
iter-limit
Counts
7 → 309
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (neg.f64 x))) (neg.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y))) (*.f64 (sqrt.f64 x) y))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))) (*.f64 (sqrt.f64 x) y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) (neg.f64 x) (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) y)) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal -2 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (+.f64 (fma.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (+.f64 (-.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (+.f64 (fma.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 x) (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) y)) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal -2 binary64))) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal -2 binary64)))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (-.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 x) (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (-.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) y)) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal -2 binary64))) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 x) (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) y)) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal -2 binary64)))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 x) (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) y)) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) (-.f64 (*.f64 (sqrt.f64 x) y) x)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (-.f64 (neg.f64 x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) (-.f64 (*.f64 (sqrt.f64 x) y) x)) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) (-.f64 (*.f64 (sqrt.f64 x) y) x) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64)))))
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(/.f64 (-.f64 (fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal -4 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)))) #s(literal -2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 x) #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (-.f64 x #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (neg.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(-.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal -1 binary64))
(-.f64 (neg.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 0 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 1 binary64) (-.f64 x #s(literal 0 binary64)))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 (*.f64 (neg.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 0 binary64))
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (+.f64 (neg.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
#s(literal 1 binary64)
x
(*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)))
y
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) x) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal 0 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 0 binary64)))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) (pow.f64 x #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(fabs.f64 (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))

eval34.0ms (1.4%)

Memory
0.5MiB live, 97.9MiB allocated; 7ms collecting garbage
Compiler

Compiled 4 748 to 946 computations (80.1% saved)

prune10.0ms (0.4%)

Memory
-15.2MiB live, 31.9MiB allocated; 2ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3179326
Fresh000
Picked101
Done000
Total3189327
Accuracy
100.0%
Counts
327 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
99.8%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
99.7%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))))
98.0%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))))
99.8%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
92.4%
(+.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (* y (sqrt x)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
71.0%
(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))
66.5%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
53.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 x (-.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
Compiler

Compiled 230 to 180 computations (21.7% saved)

sample0.0ms (0.0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
1/2
Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series59.0ms (2.5%)

Memory
6.2MiB live, 148.5MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114566
Stop Event
iter-limit
Counts
23 → 41
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
x
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 x (-.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(*.f64 x (-.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(-.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(*.f64 y #s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))))
(*.f64 y (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(*.f64 (log.f64 x) #s(literal 1/2 binary64))
(log.f64 x)
#s(literal 1/2 binary64)
Outputs
#s(approx (+ (* (sqrt x) y) (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x (*.f64 y (sqrt.f64 x)))))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 y (sqrt.f64 x)))
#s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (fma.f64 #s(literal -1 binary64) x (*.f64 y (sqrt.f64 x))))
#s(approx (- (* y (sqrt (/ 1 x))) 1) (/.f64 (*.f64 y (sqrt.f64 x)) x))
#s(approx (- (* y (sqrt (/ 1 x))) 1) (/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 y (sqrt.f64 x))) x))
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (* (log x) 1/2) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
#s(approx (log x) (log.f64 x))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 x (-.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 x (-.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (- (* y (sqrt (/ 1 x))) 1) (-.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
#s(approx (* y (sqrt (/ 1 x))) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (/ 1 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (* y (sqrt x)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* (log x) 1/2) (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (log x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt x) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* y (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) x))
#s(approx y y)
#s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (fma.f64 #s(literal -1 binary64) x (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (* y (sqrt (/ 1 x))) 1) #s(literal -1 binary64))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y))))
#s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x y) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (* y (sqrt (/ 1 x))) 1) (*.f64 y (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))))
#s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 x y)))))
#s(approx (- (* y (sqrt (/ 1 x))) 1) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))))
Calls

6 calls:

TimeVariablePoint
27.0ms
x
0
10.0ms
x
inf
9.0ms
x
-inf
5.0ms
y
inf
2.0ms
y
-inf

rewrite120.0ms (5.1%)

Memory
17.4MiB live, 257.5MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027148
045136
1198135
2593135
31977126
04066122
Stop Event
iter-limit
node-limit
iter-limit
Counts
23 → 741
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
x
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 x (-.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(*.f64 x (-.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(-.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(*.f64 y #s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))))
(*.f64 y (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(*.f64 (log.f64 x) #s(literal 1/2 binary64))
(log.f64 x)
#s(literal 1/2 binary64)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (sqrt.f64 x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))) (*.f64 y (sqrt.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))) (*.f64 y (sqrt.f64 x)))
(/.f64 (-.f64 (*.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 x x)) (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 x x)) (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 y (sqrt.f64 x)) x) (-.f64 (*.f64 y (sqrt.f64 x)) x))) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 y (sqrt.f64 x)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 (*.f64 y (sqrt.f64 x)) x) (-.f64 (*.f64 y (sqrt.f64 x)) x)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (*.f64 (neg.f64 y) (sqrt.f64 x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x))))) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 x x (*.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (*.f64 (neg.f64 y) (sqrt.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x))) (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x)))))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))))
(neg.f64 (-.f64 x (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) x (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 1/2 binary64)) y (fma.f64 (*.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64)) y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 1/2 binary64)) y (-.f64 (*.f64 (*.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64)) y) (-.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64)) y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64)) y) (-.f64 x #s(literal 1 binary64))))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal -1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(-.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 (-.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 y) (*.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))))
(-.f64 (-.f64 (*.f64 y (sqrt.f64 x)) x) #s(literal -1 binary64))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 1/2 binary64)) y)) (*.f64 (*.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64)) y))
(+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) x) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 1/2 binary64)) y) (fma.f64 (*.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64)) y (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 1/2 binary64)) y) (-.f64 (*.f64 (*.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64)) y) (-.f64 x #s(literal 1 binary64))))
(+.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(+.f64 (neg.f64 x) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) x)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y (sqrt.f64 x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) x))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64)))) (*.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 1/2 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 1/2 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 (+.f64 (neg.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) #s(literal -2 binary64))
(/.f64 (+.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (neg.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) #s(literal -2 binary64))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (neg.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) #s(literal -4 binary64))
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(/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) #s(literal -2 binary64))
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(neg.f64 (neg.f64 (log.f64 (sqrt.f64 x))))
(-.f64 (log.f64 (fma.f64 (*.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64)) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (fma.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 2 binary64)))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 2 binary64) (*.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (+.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (fma.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (log.f64 #s(literal 4 binary64)))
(log.f64 (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (log.f64 (exp.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 x)))
(*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (log.f64 x))
(fma.f64 #s(literal 1/2 binary64) (log.f64 x) (log.f64 (sqrt.f64 x)))
(fma.f64 (log.f64 x) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (neg.f64 (sqrt.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))
(log.f64 x)
#s(literal 1/2 binary64)

eval177.0ms (7.6%)

Memory
7.2MiB live, 327.4MiB allocated; 96ms collecting garbage
Compiler

Compiled 22 340 to 4 114 computations (81.6% saved)

prune23.0ms (1.0%)

Memory
12.1MiB live, 61.1MiB allocated; 2ms collecting garbage
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New9759984
Fresh314
Picked325
Done000
Total98112993
Accuracy
100.0%
Counts
993 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
71.0%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
99.7%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (sqrt x) (*.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))))))
92.4%
(+.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (* y (sqrt x)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
57.9%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y x) (neg.f64 x)))
61.1%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) y) x))
66.5%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
53.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x))
53.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 x (-.f64 (*.f64 y (/.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))))
28.3%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 x #s(approx (- (* y (sqrt (/ 1 x))) 1) #s(literal -1 binary64))))
39.3%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
34.1%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 y (sqrt.f64 x))))
Compiler

Compiled 385 to 286 computations (25.7% saved)

sample1.0ms (0.1%)

Memory
-46.5MiB live, 0.5MiB allocated; 2ms collecting garbage
Calls
Call 1
Inputs
1
(sqrt 2)
2
-1
Outputs
#s(literal 1 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 7 to 6 computations (14.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series36.0ms (1.5%)

Memory
33.2MiB live, 77.6MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167857
Stop Event
iter-limit
Counts
28 → 56
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (sqrt x) (*.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y #s(approx (sqrt x) (*.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))))))
y
#s(approx (sqrt x) (*.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))))
(*.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 y (sqrt.f64 x))))
#s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal -1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y x) (neg.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y x) (neg.f64 x))
(*.f64 y x)
(neg.f64 x)
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x (*.f64 y (sqrt.f64 x)))))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx x x)
#s(approx (* y (sqrt x)) (*.f64 y (sqrt.f64 x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (* x (/ (sqrt 2) (sqrt (* x 2)))) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (/ (sqrt 2) (sqrt (* x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (sqrt (* x 2)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (* x 2) (*.f64 #s(literal 2 binary64) x))
#s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (fma.f64 #s(literal -1 binary64) x (*.f64 y (sqrt.f64 x))))
#s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) x) (*.f64 x (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
#s(approx (+ (* (/ 1 (sqrt x)) y) -1) (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (* y x) (*.f64 x y))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 x (-.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 x (-.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (* y (sqrt x)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* x (/ (sqrt 2) (sqrt (* x 2)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))
#s(approx (/ (sqrt 2) (sqrt (* x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))
#s(approx (sqrt (* x 2)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))
#s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) x) (*.f64 x (-.f64 (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))))
#s(approx (+ (* (/ 1 (sqrt x)) y) -1) #s(literal -1 binary64))
#s(approx (+ (* (/ 1 (sqrt x)) y) -1) (-.f64 (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* y (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (sqrt x) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (/ (sqrt 2) (sqrt (* x 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))
#s(approx (/ (sqrt 2) (sqrt (* x 2))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))))
#s(approx (sqrt (* x 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))
#s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) x) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (+ (* (/ 1 (sqrt x)) y) -1) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) x))
#s(approx y y)
#s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (fma.f64 #s(literal -1 binary64) x (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) x) (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 x y) (sqrt.f64 x))))
#s(approx (+ (* (/ 1 (sqrt x)) (* y x)) (neg x)) (-.f64 (/.f64 (*.f64 x y) (sqrt.f64 x)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y))))
#s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x y) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) x) (/.f64 (*.f64 x y) (sqrt.f64 x)))
#s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) x) (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x (sqrt.f64 x)))))
#s(approx (+ (* (/ 1 (sqrt x)) y) -1) (/.f64 y (sqrt.f64 x)))
#s(approx (+ (* (/ 1 (sqrt x)) y) -1) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))))
#s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 x y)))))
#s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 x)) (/.f64 x y)))))
#s(approx (+ (* (/ 1 (sqrt x)) y) -1) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
Calls

6 calls:

TimeVariablePoint
12.0ms
x
-inf
6.0ms
y
0
4.0ms
x
0
3.0ms
x
inf
2.0ms
y
-inf

rewrite155.0ms (6.6%)

Memory
43.8MiB live, 207.4MiB allocated; 82ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037213
056214
1226195
2795187
33021157
04434152
Stop Event
iter-limit
node-limit
iter-limit
Counts
28 → 848
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (sqrt x) (*.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y #s(approx (sqrt x) (*.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))))))
y
#s(approx (sqrt x) (*.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))))
(*.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 y (sqrt.f64 x))))
#s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal -1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y x) (neg.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y x) (neg.f64 x))
(*.f64 y x)
(neg.f64 x)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (fma.f64 #s(approx (sqrt x) (sqrt.f64 x)) y #s(literal 1 binary64)))) (fma.f64 #s(approx (sqrt x) (sqrt.f64 x)) y #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(approx (sqrt x) (sqrt.f64 x)) y) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(approx (sqrt x) (sqrt.f64 x)) y #s(literal 1 binary64)))) (fma.f64 #s(approx (sqrt x) (sqrt.f64 x)) y #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (sqrt x) (sqrt.f64 x)) y))) (*.f64 #s(approx (sqrt x) (sqrt.f64 x)) y))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (sqrt x) (sqrt.f64 x)) y))) (*.f64 #s(approx (sqrt x) (sqrt.f64 x)) y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) #s(approx (sqrt x) (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 #s(approx (sqrt x) (sqrt.f64 x)) y)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (sqrt x) (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(approx (sqrt x) (sqrt.f64 x)) y #s(literal 1 binary64)) (fma.f64 #s(approx (sqrt x) (sqrt.f64 x)) y #s(literal 1 binary64))) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 #s(approx (sqrt x) (sqrt.f64 x)) y #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(approx (sqrt x) (sqrt.f64 x)) y) x) (-.f64 (*.f64 #s(approx (sqrt x) (sqrt.f64 x)) y) x))) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(approx (sqrt x) (sqrt.f64 x)) y) x)))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(approx (sqrt x) (sqrt.f64 x)) y #s(literal 1 binary64)) (fma.f64 #s(approx (sqrt x) (sqrt.f64 x)) y #s(literal 1 binary64))) (*.f64 x x)) (+.f64 (fma.f64 #s(approx (sqrt x) (sqrt.f64 x)) y #s(literal 1 binary64)) x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (sqrt x) (sqrt.f64 x)) y) (*.f64 #s(approx (sqrt x) (sqrt.f64 x)) y)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 #s(approx (sqrt x) (sqrt.f64 x)) y) (-.f64 x #s(literal 1 binary64))))
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eval149.0ms (6.4%)

Memory
-40.2MiB live, 164.4MiB allocated; 93ms collecting garbage
Compiler

Compiled 13 873 to 3 131 computations (77.4% saved)

prune32.0ms (1.4%)

Memory
-17.4MiB live, 35.8MiB allocated; 23ms collecting garbage
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New6268634
Fresh325
Picked325
Done022
Total63214646
Accuracy
100.0%
Counts
646 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
71.0%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
92.4%
(+.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (* y (sqrt x)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
61.2%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y (neg.f64 x)))
57.9%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 #s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 y x) (neg.f64 x)))
61.2%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (*.f64 (sqrt.f64 x) y) x))
66.5%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
53.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (+.f64 (neg.f64 (sqrt.f64 x)) y))) x))
53.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x))
26.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) (/.f64 y (sqrt.f64 x))) x))
28.3%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) #s(literal -1 binary64)) x))
39.3%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
32.2%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) x) (/.f64 (*.f64 x y) (sqrt.f64 x))))
34.1%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 y (sqrt.f64 x))))
Compiler

Compiled 443 to 314 computations (29.1% saved)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
-1
Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series20.0ms (0.9%)

Memory
25.0MiB live, 25.0MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0142731
Stop Event
iter-limit
Counts
26 → 51
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (* y (sqrt x)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (* y (sqrt x)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
y
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) #s(literal -1 binary64)) x))
(*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) #s(literal -1 binary64)) x)
#s(approx (+ (* (/ 1 (sqrt x)) y) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) x) (/.f64 (*.f64 x y) (sqrt.f64 x))))
#s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) x) (/.f64 (*.f64 x y) (sqrt.f64 x)))
(/.f64 (*.f64 x y) (sqrt.f64 x))
(*.f64 x y)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)
(-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(/.f64 y (sqrt.f64 x))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x (*.f64 y (sqrt.f64 x)))))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx x x)
#s(approx (* y (sqrt x)) (*.f64 y (sqrt.f64 x)))
#s(approx (* y (sqrt (/ 1 x))) (/.f64 (*.f64 y (sqrt.f64 x)) x))
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) x) (*.f64 x (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
#s(approx (+ (* (/ 1 (sqrt x)) y) -1) (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (* (sqrt x) y) x) (fma.f64 #s(literal -1 binary64) x (*.f64 y (sqrt.f64 x))))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (/ (* x y) (sqrt x)) (/.f64 (*.f64 x y) (sqrt.f64 x)))
#s(approx (* x y) (*.f64 x y))
#s(approx (/ y (sqrt x)) (/.f64 y (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 x (-.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 x (-.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (* y (sqrt x)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* y (sqrt (/ 1 x))) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (/ 1 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) x) (*.f64 x (-.f64 (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))))
#s(approx (+ (* (/ 1 (sqrt x)) y) -1) #s(literal -1 binary64))
#s(approx (+ (* (/ 1 (sqrt x)) y) -1) (-.f64 (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
#s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (* x y) (sqrt x)) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ y (sqrt x)) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* y (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) x) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (+ (* (/ 1 (sqrt x)) y) -1) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
#s(approx (sqrt x) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* x y) (sqrt x)) (*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ y (sqrt x)) (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) x))
#s(approx y y)
#s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) x) (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 x y) (sqrt.f64 x))))
#s(approx (- (* (sqrt x) y) x) (-.f64 (*.f64 y (sqrt.f64 x)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y))))
#s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) x) (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x (sqrt.f64 x)))))
#s(approx (+ (* (/ 1 (sqrt x)) y) -1) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (- (* (sqrt x) y) x) (*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))))
#s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 x)) (/.f64 x y)))))
#s(approx (+ (* (/ 1 (sqrt x)) y) -1) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (- (* (sqrt x) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (/.f64 x y)))))
Calls

6 calls:

TimeVariablePoint
3.0ms
y
-inf
3.0ms
x
-inf
2.0ms
y
inf
2.0ms
x
0
2.0ms
x
inf

rewrite106.0ms (4.5%)

Memory
20.0MiB live, 158.3MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034215
050209
1221209
2616209
32163176
04066172
Stop Event
iter-limit
node-limit
iter-limit
Counts
26 → 1 060
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (* y (sqrt x)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (* y (sqrt x)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
y
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) #s(literal -1 binary64)) x))
(*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) #s(literal -1 binary64)) x)
#s(approx (+ (* (/ 1 (sqrt x)) y) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) x) (/.f64 (*.f64 x y) (sqrt.f64 x))))
#s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) x) (/.f64 (*.f64 x y) (sqrt.f64 x)))
(/.f64 (*.f64 x y) (sqrt.f64 x))
(*.f64 x y)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)
(-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(/.f64 y (sqrt.f64 x))
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (-.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)))) (-.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)))) (-.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)))) #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)))) #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y))) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y))) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) x) (-.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) x))) (-.f64 #s(literal 1 binary64) (-.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) x)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)) (-.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64))) (*.f64 x x)) (-.f64 (-.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)) (-.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64))) (*.f64 x x)) (+.f64 (-.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)) x))
(/.f64 (-.f64 (*.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (+.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)) (-.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) x) (-.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) x)) (*.f64 #s(literal 1 binary64) (-.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)) (-.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)) (fma.f64 x x (*.f64 (-.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)) x))))
(/.f64 (-.f64 (pow.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) (-.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y))) (neg.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y))))) (+.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y))) (-.f64 x #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y))))) (+.f64 #s(literal 1 binary64) (-.f64 x #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)))))
(/.f64 (+.f64 (pow.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y))) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y))) (neg.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y))) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 #s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)))))))
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(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 y #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) y)) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 y))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x)))))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 y))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 4 binary64) (neg.f64 y)) (*.f64 #s(literal 4 binary64) (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 y) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 y)) (*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 y)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -2 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) #s(literal -1 binary64))) (*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y))) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) (*.f64 #s(literal -2 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x)))
(/.f64 y (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) y))
(neg.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)))

eval130.0ms (5.6%)

Memory
-26.6MiB live, 252.7MiB allocated; 55ms collecting garbage
Compiler

Compiled 22 673 to 4 442 computations (80.4% saved)

prune19.0ms (0.8%)

Memory
36.5MiB live, 36.5MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New9642966
Fresh235
Picked145
Done044
Total96713980
Accuracy
100.0%
Counts
980 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
71.0%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
96.6%
(+.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (* y (sqrt x)) (/.f64 (*.f64 y x) (sqrt.f64 x))))
61.2%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y (neg.f64 x)))
61.2%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (*.f64 (sqrt.f64 x) y) x))
66.5%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
53.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x))
26.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) (/.f64 y (sqrt.f64 x))) x))
28.3%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) #s(literal -1 binary64)) x))
39.3%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
32.2%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) x) (/.f64 (*.f64 x y) (sqrt.f64 x))))
34.1%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) x) #s(approx (/ (* x y) (sqrt x)) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
34.1%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 y (sqrt.f64 x))))
Compiler

Compiled 232 to 165 computations (28.9% saved)

regimes130.0ms (5.6%)

Memory
-31.0MiB live, 119.2MiB allocated; 61ms collecting garbage
Counts
1 → 1
4 → 1
5 → 3
6 → 3
8 → 2
12 → 2
29 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
Call 2
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 x #s(approx (- (* y (sqrt (/ 1 x))) 1) #s(literal -1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) #s(literal -1 binary64)) x))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
Call 3
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 x #s(approx (- (* y (sqrt (/ 1 x))) 1) #s(literal -1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) #s(literal -1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 y (sqrt.f64 x))))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 y (sqrt.f64 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 y (sqrt.f64 x))))
Call 4
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 x #s(approx (- (* y (sqrt (/ 1 x))) 1) #s(literal -1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) #s(literal -1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 y (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
Outputs
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
Call 5
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 x #s(approx (- (* y (sqrt (/ 1 x))) 1) #s(literal -1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) #s(literal -1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 y (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))
Outputs
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (*.f64 (sqrt.f64 x) y) x))
Call 6
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 x #s(approx (- (* y (sqrt (/ 1 x))) 1) #s(literal -1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) #s(literal -1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 y (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) x) (/.f64 (*.f64 x y) (sqrt.f64 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) (/.f64 y (sqrt.f64 x))) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) x) #s(approx (/ (* x y) (sqrt x)) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
Outputs
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y (neg.f64 x)))
Call 7
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 x #s(approx (- (* y (sqrt (/ 1 x))) 1) #s(literal -1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) #s(literal -1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 y (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) x) (/.f64 (*.f64 x y) (sqrt.f64 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) (/.f64 y (sqrt.f64 x))) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) x) #s(approx (/ (* x y) (sqrt x)) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (* y (sqrt x)) (/.f64 (*.f64 y x) (sqrt.f64 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 x (-.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) y) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y x) (neg.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (* y (sqrt x)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (+.f64 (neg.f64 (sqrt.f64 x)) y))) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 #s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 y x) (neg.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (sqrt x) (*.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 x (-.f64 (*.f64 y (/.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
Calls

17 calls:

37.0ms
x
18.0ms
x
8.0ms
y
8.0ms
x
7.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
39.3%1y
39.3%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
39.3%1x
66.5%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
66.5%1x
66.5%1y
94.5%3y
96.2%3y
83.9%3(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
85.8%2x
98.6%2x
98.4%2(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
98.6%2x
97.4%3y
99.9%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
99.9%1x
99.9%1y
Compiler

Compiled 556 to 187 computations (66.4% saved)

bsearch10.0ms (0.4%)

Memory
23.2MiB live, 23.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
0.4398895808412213
214.71752780366145
Samples
5.0ms128×0valid
Compiler

Compiled 203 to 180 computations (11.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sqrt: 1.0ms (46.9% of total)
ival-mult!: 1.0ms (46.9% of total)
ival-sub!: 0.0ms (0.0% of total)
adjust: 0.0ms (0.0% of total)
ival-add!: 0.0ms (0.0% of total)

bsearch1.0ms (0.0%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.4398895808412213
214.71752780366145
Compiler

Compiled 203 to 180 computations (11.3% saved)

bsearch25.0ms (1.1%)

Memory
-7.8MiB live, 41.0MiB allocated; 10ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
2.8546473231175386e+67
6.279149510086476e+69
15.0ms
-1.6811704553724953e+42
-1.3114639226237057e+30
Samples
13.0ms272×0valid
Compiler

Compiled 368 to 352 computations (4.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub!: 4.0ms (50.4% of total)
ival-sqrt: 2.0ms (25.2% of total)
ival-add!: 1.0ms (12.6% of total)
ival-mult!: 1.0ms (12.6% of total)
adjust: 0.0ms (0.0% of total)

bsearch28.0ms (1.2%)

Memory
-23.3MiB live, 22.4MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.8546473231175386e+67
6.279149510086476e+69
26.0ms
-7.255603955065787e+74
-5.729371903216805e+66
Samples
5.0ms144×0valid
Compiler

Compiled 587 to 460 computations (21.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sqrt: 1.0ms (41.2% of total)
ival-mult!: 1.0ms (41.2% of total)
ival-sub!: 0.0ms (0.0% of total)
adjust: 0.0ms (0.0% of total)
ival-add!: 0.0ms (0.0% of total)

derivations75.0ms (3.2%)

Memory
-3.8MiB live, 90.7MiB allocated; 15ms collecting garbage
Stop Event
fuel
Compiler

Compiled 195 to 43 computations (77.9% saved)

preprocess50.0ms (2.1%)

Memory
1.4MiB live, 137.2MiB allocated; 25ms collecting garbage
Compiler

Compiled 593 to 258 computations (56.5% saved)

end0.0ms (0.0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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