2sqrt (example 3.1)

Time bar (total: 2.8s)

start0.0ms (0.0%)

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

analyze21.0ms (0.8%)

Memory
-51.5MiB live, 4.6MiB allocated; 30ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%25.0%75.0%0.0%0.0%0.0%0
0.0%0.0%25.0%75.0%0.0%0.0%0.0%1
50.0%12.5%12.5%75.0%0.0%0.0%0.0%2
75.0%18.7%6.2%75.0%0.0%0.0%0.0%3
87.5%21.9%3.1%75.0%0.0%0.0%0.0%4
93.8%23.4%1.6%75.0%0.0%0.0%0.0%5
96.9%24.2%0.8%75.0%0.0%0.0%0.0%6
98.4%24.6%0.4%75.0%0.0%0.0%0.0%7
99.2%24.8%0.2%75.0%0.0%0.0%0.0%8
99.6%24.9%0.1%75.0%0.0%0.0%0.0%9
99.8%24.9%0.0%75.0%0.0%0.0%0.0%10
99.9%25.0%0.0%75.0%0.0%0.0%0.0%11
100.0%25.0%0.0%75.0%0.0%0.0%0.0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.3s (48.4%)

Memory
-72.3MiB live, 1 497.2MiB allocated; 843ms collecting garbage
Samples
1.1s8 141×1valid
4.0ms115×0valid
Precisions
Click to see histograms. Total time spent on operations: 887.0ms
ival-sqrt: 569.0ms (64.2% of total)
adjust: 221.0ms (24.9% of total)
ival-add!: 59.0ms (6.7% of total)
ival-sub!: 38.0ms (4.3% of total)
ival-assert: 0.0ms (0.0% of total)
ival-and: 0.0ms (0.0% of total)
ival-<: 0.0ms (0.0% of total)
Bogosity

preprocess76.0ms (2.7%)

Memory
-32.2MiB live, 36.5MiB allocated; 60ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01223
13822
27822
325421
494921
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.4%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Symmetry

(abs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample0.0ms (0.0%)

Memory
0.1MiB live, 0.1MiB 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)

series12.0ms (0.4%)

Memory
18.8MiB live, 18.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126710
Stop Event
iter-limit
Counts
6 → 28
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 x)))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x))
#s(approx (sqrt (+ x 1)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (+ x 1)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (+ x 1)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (+ x 1)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (+ x 1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x)))
#s(approx (sqrt (+ x 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (+ x 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (+ x 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (+ x 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))
Calls

3 calls:

TimeVariablePoint
2.0ms
x
inf
1.0ms
x
-inf
1.0ms
x
0

rewrite123.0ms (4.4%)

Memory
33.2MiB live, 170.9MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
01018
15718
214018
333218
4120718
0432718
Stop Event
iter-limit
node-limit
iter-limit
Counts
6 → 342
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) x) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (+.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))))
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (-.f64 x #s(literal -1 binary64))) (+.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (-.f64 x #s(literal -1 binary64))) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (+.f64 (*.f64 (neg.f64 (sqrt.f64 x)) x) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x))))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) x)) (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) x)) (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))))
(neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 8 binary64))) (sqrt.f64 #s(literal 4 binary64)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 4 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(pow.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (sqrt.f64 #s(literal -2 binary64)))
(/.f64 (sqrt.f64 (fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1 binary64)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal -2 binary64)))
(/.f64 (sqrt.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))) (sqrt.f64 #s(literal 4 binary64)))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sqrt.f64 #s(literal -2 binary64)))
(/.f64 (+.f64 (exp.f64 (asinh.f64 (neg.f64 (sqrt.f64 x)))) (exp.f64 (neg.f64 (asinh.f64 (neg.f64 (sqrt.f64 x)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) (exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))))) #s(literal 2 binary64))
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(/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 1 binary64)))
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(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #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 (-.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)))
(+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (/.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) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) #s(literal 2 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 (neg.f64 x) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(*.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 (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)))

eval55.0ms (2.0%)

Memory
-3.1MiB live, 88.6MiB allocated; 19ms collecting garbage
Compiler

Compiled 5 818 to 1 455 computations (75.0% saved)

prune17.0ms (0.6%)

Memory
-12.8MiB live, 32.5MiB allocated; 5ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3579366
Fresh000
Picked101
Done000
Total3589367
Accuracy
99.4%
Counts
367 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.1%
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
7.1%
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))
6.5%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
7.4%
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
4.5%
(-.f64 #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
1.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
27.7%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x))
64.7%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x))
96.8%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 346 to 246 computations (28.9% saved)

sample0.0ms (0.0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
1
2
(sqrt 2)
1/8
3
Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
#s(literal 1/8 binary64)
#s(literal 3 binary64)
Samples
0.0ms0valid
Compiler

Compiled 9 to 8 computations (11.1% saved)

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

series36.0ms (1.3%)

Memory
8.2MiB live, 54.7MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03222468
Stop Event
iter-limit
Counts
33 → 87
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
x
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
(sqrt.f64 x)
(-.f64 #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(-.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(literal 1/8 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 x)))
#s(approx (/ 1/2 (* x (sqrt (/ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))
#s(approx x x)
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- (/ (sqrt (+ (* 2 x) 2)) (sqrt 2)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 x)))
#s(approx (- (/ (sqrt (+ (* 2 x) 2)) (sqrt 2)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 x)))
#s(approx (- (/ (sqrt (+ (* 2 x) 2)) (sqrt 2)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 x)))
#s(approx (/ (sqrt (+ (* 2 x) 2)) (sqrt 2)) (+.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (sqrt (+ (* 2 x) 2)) (sqrt 2)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
#s(approx (/ (sqrt (+ (* 2 x) 2)) (sqrt 2)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* 2 x) 2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (+ (* 2 x) 2)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* 2 x) 2)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* 2 x) 2)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* 2 x) 2) #s(literal 2 binary64))
#s(approx (+ (* 2 x) 2) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
#s(approx (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))))
#s(approx (* 1/2 (/ 1 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))))
#s(approx (/ 1 (sqrt (/ 1 x))) (/.f64 x (sqrt.f64 x)))
#s(approx (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
#s(approx (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (/.f64 x (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (pow x 2) (pow (sqrt (/ 1 x)) 3)) (/.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) x))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (pow (sqrt (/ 1 x)) 3) (/.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x))
#s(approx (* x (sqrt (/ 1 x))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (/ 1 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (+ x 1)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (+ x 1)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (+ x 1)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ (sqrt (+ (* 2 x) 2)) (sqrt 2)) (sqrt x)) (*.f64 x (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ (sqrt (+ (* 2 x) 2)) (sqrt 2)) (sqrt x)) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ (sqrt (+ (* 2 x) 2)) (sqrt 2)) (sqrt x)) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (- (/ (sqrt (+ (* 2 x) 2)) (sqrt 2)) (sqrt x)) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 5 binary64))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))))))))
#s(approx (/ (sqrt (+ (* 2 x) 2)) (sqrt 2)) (/.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (sqrt (+ (* 2 x) 2)) (sqrt 2)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (sqrt (+ (* 2 x) 2)) (sqrt 2)) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (/ (sqrt (+ (* 2 x) 2)) (sqrt 2)) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 5 binary64))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (sqrt (+ (* 2 x) 2)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))
#s(approx (sqrt (+ (* 2 x) 2)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))))
#s(approx (sqrt (+ (* 2 x) 2)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (+ (* 2 x) 2)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (+ (* 2 x) 2) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* 2 x) 2) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (/ 1 (sqrt (/ 1 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (* (pow x 2) (pow (sqrt (/ 1 x)) 3)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
#s(approx (pow (sqrt (/ 1 x)) 3) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x)))
#s(approx (sqrt (+ x 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (+ x 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (+ x 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (+ x 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (- (/ (sqrt (+ (* 2 x) 2)) (sqrt 2)) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (/ (sqrt (+ (* 2 x) 2)) (sqrt 2)) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (/ (sqrt (+ (* 2 x) 2)) (sqrt 2)) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))))))))
#s(approx (- (/ (sqrt (+ (* 2 x) 2)) (sqrt 2)) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 5 binary64))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))))))))))
#s(approx (/ (sqrt (+ (* 2 x) 2)) (sqrt 2)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (sqrt (+ (* 2 x) 2)) (sqrt 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (/ (sqrt (+ (* 2 x) 2)) (sqrt 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (/ (sqrt (+ (* 2 x) 2)) (sqrt 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 5 binary64))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))))))))
#s(approx (sqrt (+ (* 2 x) 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))
#s(approx (sqrt (+ (* 2 x) 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))))))
#s(approx (sqrt (+ (* 2 x) 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (+ (* 2 x) 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)))
Calls

3 calls:

TimeVariablePoint
11.0ms
x
-inf
7.0ms
x
0
5.0ms
x
inf

rewrite143.0ms (5.2%)

Memory
-16.9MiB live, 172.7MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037261
061226
1301219
21014193
04207187
Stop Event
iter-limit
node-limit
iter-limit
Counts
33 → 1 034
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
x
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
(sqrt.f64 x)
(-.f64 #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(-.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(literal 1/8 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 x))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 x x))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x)))
(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) x) x)
(*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(*.f64 (neg.f64 (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))
(*.f64 x (*.f64 x (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
x
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) x)) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))))
(*.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))))
(*.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 x (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal -2 binary64) (*.f64 (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (neg.f64 (neg.f64 x))))
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
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(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fabs.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) x) x)
(*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(*.f64 (neg.f64 (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))
(*.f64 x (*.f64 x (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3/2 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3/2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (neg.f64 x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
(neg.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(fabs.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(fabs.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
#s(literal 3 binary64)

eval158.0ms (5.7%)

Memory
40.3MiB live, 273.9MiB allocated; 68ms collecting garbage
Compiler

Compiled 36 938 to 6 191 computations (83.2% saved)

prune32.0ms (1.2%)

Memory
-30.4MiB live, 60.6MiB allocated; 10ms collecting garbage
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1 17861 184
Fresh044
Picked325
Done000
Total1 181121 193
Accuracy
100.0%
Counts
1 193 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.0%
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
9.1%
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
7.1%
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))
6.5%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal 6369051672525773/4503599627370496 binary64)) (sqrt.f64 x))
7.4%
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
1.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
96.9%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
27.7%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x))
96.9%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 x)))))
96.8%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
97.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
97.3%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
Compiler

Compiled 387 to 281 computations (27.4% saved)

sample0.0ms (0.0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
1/2
2
6369051672525773/4503599627370496
-1
Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
#s(literal -1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 7 to 7 computations (0.0% saved)

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

series24.0ms (0.9%)

Memory
-3.2MiB live, 43.6MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03652577
Stop Event
iter-limit
Counts
26 → 91
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x)))
#s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1/2 binary64) x)
(-.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal 6369051672525773/4503599627370496 binary64)) (sqrt.f64 x))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal 6369051672525773/4503599627370496 binary64))
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(-.f64 (-.f64 x #s(literal -1 binary64)) x)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 x)))
#s(approx (* (sqrt (/ 1 x)) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 (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 x x)
#s(approx (/ 1/2 (* x (sqrt (/ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))
#s(approx (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (- (/ (sqrt (+ (* 2 x) 2)) 6369051672525773/4503599627370496) (sqrt x)) (-.f64 (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)))
#s(approx (- (/ (sqrt (+ (* 2 x) 2)) 6369051672525773/4503599627370496) (sqrt x)) (-.f64 (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 x)))
#s(approx (- (/ (sqrt (+ (* 2 x) 2)) 6369051672525773/4503599627370496) (sqrt x)) (-.f64 (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -2251799813685248/6369051672525773 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))) (sqrt.f64 x)))
#s(approx (- (/ (sqrt (+ (* 2 x) 2)) 6369051672525773/4503599627370496) (sqrt x)) (-.f64 (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))) (sqrt.f64 x)))
#s(approx (/ (sqrt (+ (* 2 x) 2)) 6369051672525773/4503599627370496) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (sqrt (+ (* 2 x) 2)) 6369051672525773/4503599627370496) (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (sqrt (+ (* 2 x) 2)) 6369051672525773/4503599627370496) (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -2251799813685248/6369051672525773 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (/ (sqrt (+ (* 2 x) 2)) 6369051672525773/4503599627370496) (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* 2 x) 2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (+ (* 2 x) 2)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* 2 x) 2)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* 2 x) 2)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* 2 x) 2) #s(literal 2 binary64))
#s(approx (+ (* 2 x) 2) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- (- x -1) x) (+ (sqrt (- x -1)) (sqrt x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (/ (- (- x -1) x) (+ (sqrt (- x -1)) (sqrt x))) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (- (- x -1) x) (+ (sqrt (- x -1)) (sqrt x))) (fma.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (- (- x -1) x) (+ (sqrt (- x -1)) (sqrt x))) (fma.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (- (- x -1) x) #s(literal 1 binary64))
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x))
#s(approx (* (sqrt (/ 1 x)) 1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (/ 1 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (* x (sqrt (/ 1 x))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ (sqrt (+ (* 2 x) 2)) 6369051672525773/4503599627370496) (sqrt x)) (*.f64 x (-.f64 (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ (sqrt (+ (* 2 x) 2)) 6369051672525773/4503599627370496) (sqrt x)) (*.f64 x (-.f64 (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ (sqrt (+ (* 2 x) 2)) 6369051672525773/4503599627370496) (sqrt x)) (*.f64 x (-.f64 (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2251799813685248/6369051672525773 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (- (/ (sqrt (+ (* 2 x) 2)) 6369051672525773/4503599627370496) (sqrt x)) (*.f64 x (-.f64 (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 5 binary64))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (/ (sqrt (+ (* 2 x) 2)) 6369051672525773/4503599627370496) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))
#s(approx (/ (sqrt (+ (* 2 x) 2)) 6369051672525773/4503599627370496) (*.f64 x (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))))))
#s(approx (/ (sqrt (+ (* 2 x) 2)) 6369051672525773/4503599627370496) (*.f64 x (-.f64 (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 2251799813685248/6369051672525773 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (/ (sqrt (+ (* 2 x) 2)) 6369051672525773/4503599627370496) (*.f64 x (-.f64 (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (+ (* 2 x) 2)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))
#s(approx (sqrt (+ (* 2 x) 2)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))))
#s(approx (sqrt (+ (* 2 x) 2)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (+ (* 2 x) 2)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (+ (* 2 x) 2) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* 2 x) 2) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- x -1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (*.f64 x (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (*.f64 x (-.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (*.f64 x (-.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (- x -1)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (- x -1)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (- x -1)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x)))
#s(approx (sqrt x) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ (sqrt (+ (* 2 x) 2)) 6369051672525773/4503599627370496) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (/ (sqrt (+ (* 2 x) 2)) 6369051672525773/4503599627370496) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (/ (sqrt (+ (* 2 x) 2)) 6369051672525773/4503599627370496) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2251799813685248/6369051672525773 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (- (/ (sqrt (+ (* 2 x) 2)) 6369051672525773/4503599627370496) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 5 binary64))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))))))))
#s(approx (/ (sqrt (+ (* 2 x) 2)) 6369051672525773/4503599627370496) (*.f64 #s(literal -4503599627370496/6369051672525773 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))
#s(approx (/ (sqrt (+ (* 2 x) 2)) 6369051672525773/4503599627370496) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))))))
#s(approx (/ (sqrt (+ (* 2 x) 2)) 6369051672525773/4503599627370496) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 2251799813685248/6369051672525773 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (/ (sqrt (+ (* 2 x) 2)) 6369051672525773/4503599627370496) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (sqrt (+ (* 2 x) 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))
#s(approx (sqrt (+ (* 2 x) 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))))))
#s(approx (sqrt (+ (* 2 x) 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (+ (* 2 x) 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (*.f64 #s(literal -2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (sqrt (- x -1)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (- x -1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (- x -1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))
Calls

3 calls:

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

rewrite144.0ms (5.2%)

Memory
26.2MiB live, 170.6MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033159
050151
1247151
2734147
32833147
04025145
Stop Event
iter-limit
node-limit
iter-limit
Counts
26 → 846
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x)))
#s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1/2 binary64) x)
(-.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal 6369051672525773/4503599627370496 binary64)) (sqrt.f64 x))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal 6369051672525773/4503599627370496 binary64))
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(-.f64 (-.f64 x #s(literal -1 binary64)) x)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 (/.f64 #s(literal -1/2 binary64) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) x)))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1/2 binary64) x)))
(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (neg.f64 x)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (neg.f64 x)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (-.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (-.f64 #s(literal -1 binary64) x)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) x))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 0 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) x) (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(pow.f64 (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) x))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (-.f64 #s(literal -1 binary64) x)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (neg.f64 x)))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 0 binary64)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) x) (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (-.f64 x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 x x)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
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#s(literal 1 binary64)
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(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (neg.f64 x) (neg.f64 x))))
(/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x #s(literal -1 binary64))
(sqrt.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal 4 binary64)))
(sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fabs.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(fabs.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(fabs.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fabs.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fabs.f64 (-.f64 #s(literal -1 binary64) x))
(fabs.f64 (-.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal -1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 x (+.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))) (+.f64 x (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x))))))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(neg.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 x))
(fma.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 x))
(fma.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)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (sqrt.f64 x))
(fma.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))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 0 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(+.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(cosh.f64 (asinh.f64 (neg.f64 (sqrt.f64 x))))
(cosh.f64 (asinh.f64 (sqrt.f64 x)))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fabs.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))

eval125.0ms (4.5%)

Memory
3.2MiB live, 229.8MiB allocated; 36ms collecting garbage
Compiler

Compiled 24 938 to 3 858 computations (84.5% saved)

prune25.0ms (0.9%)

Memory
-5.4MiB live, 50.8MiB allocated; 8ms collecting garbage
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1 11641 120
Fresh325
Picked235
Done112
Total1 122101 132
Accuracy
100.0%
Counts
1 132 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.0%
(/.f64 (fma.f64 #s(literal -6369051672525773/4503599627370496 binary64) (sqrt.f64 x) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(literal 6369051672525773/4503599627370496 binary64))
99.6%
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
7.4%
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
1.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
92.6%
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) #s(literal -1 binary64)))
96.9%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
27.7%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x))
97.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
97.3%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
97.1%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)))
Compiler

Compiled 304 to 225 computations (26.0% saved)

sample0.0ms (0.0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
-1
1/2
-6369051672525773/4503599627370496
2
6369051672525773/4503599627370496
Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal -6369051672525773/4503599627370496 binary64)
#s(literal 2 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
Samples
0.0ms0valid
Compiler

Compiled 8 to 8 computations (0.0% saved)

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

series31.0ms (1.1%)

Memory
-4.9MiB live, 40.8MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04933758
Stop Event
iter-limit
Counts
25 → 113
Calls
Call 1
Inputs
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
#s(approx (- (- x -1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64))
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
(/.f64 (sqrt.f64 x) x)
#s(literal 1/2 binary64)
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(/.f64 (fma.f64 #s(literal -6369051672525773/4503599627370496 binary64) (sqrt.f64 x) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(literal 6369051672525773/4503599627370496 binary64))
(fma.f64 #s(literal -6369051672525773/4503599627370496 binary64) (sqrt.f64 x) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
#s(literal -6369051672525773/4503599627370496 binary64)
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) #s(literal -1 binary64)))
(*.f64 (log.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) #s(literal -1 binary64))
(log.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
Outputs
#s(approx (/ (- (- x -1) x) (+ (sqrt (- x -1)) (sqrt x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (/ (- (- x -1) x) (+ (sqrt (- x -1)) (sqrt x))) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (- (- x -1) x) (+ (sqrt (- x -1)) (sqrt x))) (fma.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
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#s(approx (- (- x -1) x) #s(literal 1 binary64))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 x)))
#s(approx (* (sqrt (/ 1 x)) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)))
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
#s(approx (/ (+ (* -6369051672525773/4503599627370496 (sqrt x)) (sqrt (+ (* 2 x) 2))) 6369051672525773/4503599627370496) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -6369051672525773/4503599627370496 binary64) (sqrt.f64 x)))))
#s(approx (/ (+ (* -6369051672525773/4503599627370496 (sqrt x)) (sqrt (+ (* 2 x) 2))) 6369051672525773/4503599627370496) (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -6369051672525773/4503599627370496 binary64) (sqrt.f64 x))) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* -6369051672525773/4503599627370496 (sqrt x)) (sqrt (+ (* 2 x) 2))) 6369051672525773/4503599627370496) (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -6369051672525773/4503599627370496 binary64) (sqrt.f64 x))) (*.f64 x (fma.f64 #s(literal -2251799813685248/6369051672525773 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (/ (+ (* -6369051672525773/4503599627370496 (sqrt x)) (sqrt (+ (* 2 x) 2))) 6369051672525773/4503599627370496) (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -6369051672525773/4503599627370496 binary64) (sqrt.f64 x))) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (+ (* -6369051672525773/4503599627370496 (sqrt x)) (sqrt (+ (* 2 x) 2))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -6369051672525773/4503599627370496 binary64) (sqrt.f64 x))))
#s(approx (+ (* -6369051672525773/4503599627370496 (sqrt x)) (sqrt (+ (* 2 x) 2))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -6369051672525773/4503599627370496 binary64) (sqrt.f64 x) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* -6369051672525773/4503599627370496 (sqrt x)) (sqrt (+ (* 2 x) 2))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -6369051672525773/4503599627370496 binary64) (sqrt.f64 x) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (+ (* -6369051672525773/4503599627370496 (sqrt x)) (sqrt (+ (* 2 x) 2))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -6369051672525773/4503599627370496 binary64) (sqrt.f64 x) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* 2 x) 2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (+ (* 2 x) 2)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* 2 x) 2)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* 2 x) 2)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* 2 x) 2) #s(literal 2 binary64))
#s(approx (+ (* 2 x) 2) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (* (log (+ (sqrt (- x -1)) (sqrt x))) -1) (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (* (log (+ (sqrt (- x -1)) (sqrt x))) -1) (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (* (log (+ (sqrt (- x -1)) (sqrt x))) -1) (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))
#s(approx (* (log (+ (sqrt (- x -1)) (sqrt x))) -1) (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))
#s(approx (log (+ (sqrt (- x -1)) (sqrt x))) (log.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (log (+ (sqrt (- x -1)) (sqrt x))) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (log (+ (sqrt (- x -1)) (sqrt x))) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))
#s(approx (log (+ (sqrt (- x -1)) (sqrt x))) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))
#s(approx (/ (- (- x -1) x) (+ (sqrt (- x -1)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (- x -1) x) (+ (sqrt (- x -1)) (sqrt x))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x))
#s(approx (/ (- (- x -1) x) (+ (sqrt (- x -1)) (sqrt x))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x))
#s(approx (/ (- (- x -1) x) (+ (sqrt (- x -1)) (sqrt x))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (*.f64 x (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (*.f64 x (-.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (*.f64 x (-.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (- x -1)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (- x -1)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (- x -1)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (- x -1)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (- x -1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (sqrt (/ 1 x)) 1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (/ 1 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (+ (* -6369051672525773/4503599627370496 (sqrt x)) (sqrt (+ (* 2 x) 2))) 6369051672525773/4503599627370496) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal -6369051672525773/4503599627370496 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
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#s(approx (+ (* -6369051672525773/4503599627370496 (sqrt x)) (sqrt (+ (* 2 x) 2))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal -6369051672525773/4503599627370496 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))))))
#s(approx (+ (* -6369051672525773/4503599627370496 (sqrt x)) (sqrt (+ (* 2 x) 2))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal -6369051672525773/4503599627370496 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (+ (* -6369051672525773/4503599627370496 (sqrt x)) (sqrt (+ (* 2 x) 2))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal -6369051672525773/4503599627370496 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 5 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (sqrt (+ (* 2 x) 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))
#s(approx (sqrt (+ (* 2 x) 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))))))
#s(approx (sqrt (+ (* 2 x) 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (+ (* 2 x) 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (* (log (+ (sqrt (- x -1)) (sqrt x))) -1) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
#s(approx (* (log (+ (sqrt (- x -1)) (sqrt x))) -1) (-.f64 (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))))
#s(approx (* (log (+ (sqrt (- x -1)) (sqrt x))) -1) (-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 3/32 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
#s(approx (* (log (+ (sqrt (- x -1)) (sqrt x))) -1) (-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))))))
#s(approx (log (+ (sqrt (- x -1)) (sqrt x))) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (log (+ (sqrt (- x -1)) (sqrt x))) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))))
#s(approx (log (+ (sqrt (- x -1)) (sqrt x))) (-.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (/.f64 #s(literal 3/32 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))))
#s(approx (log (+ (sqrt (- x -1)) (sqrt x))) (-.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))))))) (*.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))))
Calls

3 calls:

TimeVariablePoint
4.0ms
x
inf
3.0ms
x
-inf
2.0ms
x
0

rewrite136.0ms (4.9%)

Memory
5.2MiB live, 157.1MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033153
050151
1245146
2729137
32803117
04080117
Stop Event
iter-limit
node-limit
iter-limit
Counts
25 → 659
Calls
Call 1
Inputs
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
#s(approx (- (- x -1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64))
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
(/.f64 (sqrt.f64 x) x)
#s(literal 1/2 binary64)
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(/.f64 (fma.f64 #s(literal -6369051672525773/4503599627370496 binary64) (sqrt.f64 x) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(literal 6369051672525773/4503599627370496 binary64))
(fma.f64 #s(literal -6369051672525773/4503599627370496 binary64) (sqrt.f64 x) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
#s(literal -6369051672525773/4503599627370496 binary64)
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) #s(literal -1 binary64)))
(*.f64 (log.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) #s(literal -1 binary64))
(log.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
Outputs
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (neg.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64))))
(*.f64 (neg.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(approx (- (- x -1) x) #s(literal 1 binary64)))
(*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (*.f64 (neg.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) #s(approx (- (- x -1) x) #s(literal 1 binary64))) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)))
(/.f64 (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)))
(/.f64 (neg.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64))) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)))
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)) (neg.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(approx (- (- x -1) x) #s(literal 1 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(approx (- (- x -1) x) #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))))
(fma.f64 (sinh.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) #s(approx (- (- x -1) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(approx (- (- x -1) x) #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(approx (- (- x -1) x) #s(literal 1 binary64)) (*.f64 (sinh.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) #s(approx (- (- x -1) x) #s(literal 1 binary64))))
(fma.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (sinh.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fma.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (sinh.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))))))
(+.f64 (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (sinh.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))))) (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (sinh.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))))))
(+.f64 (*.f64 (sinh.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) #s(approx (- (- x -1) x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(approx (- (- x -1) x) #s(literal 1 binary64))))
(+.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(approx (- (- x -1) x) #s(literal 1 binary64))) (*.f64 (sinh.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) #s(approx (- (- x -1) x) #s(literal 1 binary64))))
(*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (- (- x -1) x) #s(literal 1 binary64)))
#s(approx (- (- x -1) x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64))))
(fma.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) #s(approx (- (- x -1) x) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) #s(approx (- (- x -1) x) #s(literal 1 binary64)) (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) #s(approx (- (- x -1) x) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) #s(approx (- (- x -1) x) #s(literal 1 binary64))))
(+.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 0 binary64)))
(+.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) #s(approx (- (- x -1) x) #s(literal 1 binary64))))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) x))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 x)) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64))) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 x)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) x) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (asinh.f64 (sqrt.f64 x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (exp.f64 (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal 0 binary64))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(pow.f64 (E.f64) (asinh.f64 (sqrt.f64 x)))
(pow.f64 (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (asinh.f64 (sqrt.f64 x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal -1 binary64))
(pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 x)))
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(/.f64 #s(literal -6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sinh.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))))
(fma.f64 (sinh.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 (sinh.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(-.f64 (sinh.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sinh.f64 (asinh.f64 (sqrt.f64 x))))
(sqrt.f64 (exp.f64 (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -2 binary64))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(exp.f64 (+.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))) #s(literal 0 binary64)))
(exp.f64 (/.f64 (+.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))) (neg.f64 (asinh.f64 (sqrt.f64 x)))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))) (neg.f64 (asinh.f64 (sqrt.f64 x)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (E.f64))) (asinh.f64 (sqrt.f64 x))))
(exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))))
(+.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))))))
(+.f64 (*.f64 (sinh.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (sinh.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) #s(literal 1 binary64)))
(+.f64 (sinh.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sinh.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))))
(*.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 (asinh.f64 (sqrt.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) (E.f64))))
(*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))) (neg.f64 (asinh.f64 (sqrt.f64 x)))))
(*.f64 #s(literal 1 binary64) (neg.f64 (asinh.f64 (sqrt.f64 x))))
(*.f64 #s(literal -1 binary64) (asinh.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -6369051672525773/4503599627370496 binary64)) #s(literal 6369051672525773/4503599627370496 binary64))
(/.f64 (*.f64 #s(literal -6369051672525773/4503599627370496 binary64) (asinh.f64 (sqrt.f64 x))) #s(literal 6369051672525773/4503599627370496 binary64))
(neg.f64 (asinh.f64 (sqrt.f64 x)))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (fma.f64 (sinh.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(-.f64 (log.f64 #s(literal -6369051672525773/4503599627370496 binary64)) (log.f64 (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)))))
(-.f64 (log.f64 #s(literal 1 binary64)) (asinh.f64 (sqrt.f64 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))))
(-.f64 #s(literal 0 binary64) (asinh.f64 (sqrt.f64 x)))
(+.f64 (log.f64 #s(literal 1 binary64)) (neg.f64 (asinh.f64 (sqrt.f64 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(+.f64 #s(literal 0 binary64) (neg.f64 (asinh.f64 (sqrt.f64 x))))
(+.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))) (log.f64 #s(literal 1 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(asinh.f64 (sqrt.f64 x))
(*.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))) #s(literal -1 binary64))
(*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (asinh.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (asinh.f64 (sqrt.f64 x))))
(/.f64 (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (asinh.f64 (sqrt.f64 x))) #s(literal 2 binary64))
(neg.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))))
(fma.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))) #s(literal -1 binary64) (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (asinh.f64 (sqrt.f64 x)) #s(literal 1 binary64) (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal 0 binary64)))
(fma.f64 (asinh.f64 (sqrt.f64 x)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (asinh.f64 (sqrt.f64 x)) (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (asinh.f64 (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (asinh.f64 (sqrt.f64 x))) (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (asinh.f64 (sqrt.f64 x))) #s(literal 0 binary64))
(-.f64 (log.f64 #s(literal 1 binary64)) (neg.f64 (asinh.f64 (sqrt.f64 x))))
(+.f64 (asinh.f64 (sqrt.f64 x)) (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal 0 binary64)))
(+.f64 (asinh.f64 (sqrt.f64 x)) #s(literal 0 binary64))
(log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))

eval134.0ms (4.8%)

Memory
-4.3MiB live, 178.3MiB allocated; 31ms collecting garbage
Compiler

Compiled 23 306 to 3 657 computations (84.3% saved)

prune29.0ms (1.1%)

Memory
-13.0MiB live, 33.8MiB allocated; 2ms collecting garbage
Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New1 14041 144
Fresh101
Picked235
Done134
Total1 144101 154
Accuracy
100.0%
Counts
1 154 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
99.5%
(/.f64 #s(literal -6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))))
7.4%
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
1.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
6.0%
(*.f64 (fma.f64 #s(literal -6369051672525773/4503599627370496 binary64) (sqrt.f64 x) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(literal 4503599627370496/6369051672525773 binary64))
97.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
97.3%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
97.1%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)))
96.9%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(approx (sqrt (/ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))) #s(literal 1/2 binary64)))
96.9%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(approx (sqrt (/ 1 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) #s(literal 1/2 binary64)))
Compiler

Compiled 148 to 118 computations (20.3% saved)

regimes30.0ms (1.1%)

Memory
41.0MiB live, 41.0MiB allocated; 0ms collecting garbage
Counts
1 → 1
3 → 1
11 → 1
24 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
Outputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
Call 2
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
Call 3
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(approx (sqrt (/ 1 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(approx (sqrt (/ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
Call 4
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(approx (sqrt (/ 1 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(approx (sqrt (/ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 x)))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal 6369051672525773/4503599627370496 binary64)) (sqrt.f64 x))
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))
(/.f64 #s(literal -6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (fma.f64 #s(literal -6369051672525773/4503599627370496 binary64) (sqrt.f64 x) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(literal 4503599627370496/6369051672525773 binary64))
(/.f64 (fma.f64 #s(literal -6369051672525773/4503599627370496 binary64) (sqrt.f64 x) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(literal 6369051672525773/4503599627370496 binary64))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) #s(literal -1 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x))
Outputs
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
Calls

8 calls:

7.0ms
x
5.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
4.0ms
x
3.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
2.0ms
x
Results
AccuracySegmentsBranch
1.6%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
1.6%1x
97.2%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
97.2%1x
97.3%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
97.3%1x
99.6%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
99.6%1x
Compiler

Compiled 423 to 152 computations (64.1% saved)

derivations36.0ms (1.3%)

Memory
-21.8MiB live, 25.1MiB allocated; 3ms collecting garbage
Stop Event
fuel
Compiler

Compiled 57 to 30 computations (47.4% saved)

preprocess40.0ms (1.4%)

Memory
-13.9MiB live, 80.5MiB allocated; 15ms collecting garbage
Compiler

Compiled 192 to 140 computations (27.1% saved)

end0.0ms (0.0%)

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

Profiling

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