2sqrt (example 3.1)

Time bar (total: 2.4s)

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
75%18.7%6.2%75%0%0%0%3
87.5%21.9%3.1%75%0%0%0%4
93.8%23.4%1.6%75%0%0%0%5
96.9%24.2%0.8%75%0%0%0%6
98.4%24.6%0.4%75%0%0%0%7
99.2%24.8%0.2%75%0%0%0%8
99.6%24.9%0.1%75%0%0%0%9
99.8%24.9%0%75%0%0%0%10
99.9%25%0%75%0%0%0%11
100%25%0%75%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.0s (41.2%)

Memory
48.2MiB live, 1 266.2MiB allocated; 310ms collecting garbage
Samples
768.0ms8 130×1valid
4.0ms126×0valid
Precisions
Click to see histograms. Total time spent on operations: 526.0ms
ival-sqrt: 268.0ms (51% of total)
adjust: 157.0ms (29.8% of total)
ival-add!: 59.0ms (11.2% of total)
ival-sub!: 42.0ms (8% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

preprocess40.0ms (1.7%)

Memory
-17.6MiB live, 27.0MiB allocated; 8ms 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
7.1%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Symmetry

(abs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series11.0ms (0.5%)

Memory
21.2MiB live, 21.2MiB 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

rewrite121.0ms (4.9%)

Memory
2.9MiB live, 148.5MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
01018
15718
214018
333218
4120718
0432918
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))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 1 binary64)))
(/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(cosh.f64 (neg.f64 (asinh.f64 (neg.f64 (sqrt.f64 x)))))
(cosh.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))))
(cosh.f64 (asinh.f64 (neg.f64 (sqrt.f64 x))))
(cosh.f64 (asinh.f64 (sqrt.f64 x)))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
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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)))

eval43.0ms (1.8%)

Memory
-19.4MiB live, 71.5MiB allocated; 9ms collecting garbage
Compiler

Compiled 5 818 to 1 455 computations (75% saved)

prune10.0ms (0.4%)

Memory
20.9MiB live, 20.9MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3597366
Fresh000
Picked101
Done000
Total3607367
Accuracy
99.5%
Counts
367 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.5%
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
7.2%
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))
7.1%
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
4.4%
(-.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))
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))
97.2%
#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 204 to 152 computations (25.5% saved)

series16.0ms (0.6%)

Memory
19.5MiB live, 19.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01991283
Stop Event
iter-limit
Counts
21 → 48
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 (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))
#s(literal -1 binary64)
(-.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 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))
(/.f64 (-.f64 x #s(literal -1 binary64)) (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 (/ 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 (- x -1) (+.f64 #s(literal 1 binary64) x))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 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 (-.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 (- x -1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ (- x -1) (sqrt (- x -1))) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ (- x -1) (sqrt (- x -1))) (sqrt x)) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ (- x -1) (sqrt (- x -1))) (sqrt x)) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (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 1 binary64) x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ (- x -1) (sqrt (- x -1))) (sqrt x)) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (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 1 binary64) 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 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (/ (- x -1) (sqrt (- x -1))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- x -1) (sqrt (- x -1))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (- x -1) (sqrt (- x -1))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/2 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 (/ (- x -1) (sqrt (- x -1))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 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) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.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 (+.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 (- (/ (- x -1) (sqrt (- x -1))) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (/ (- x -1) (sqrt (- x -1))) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (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 1 binary64) x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (/ (- x -1) (sqrt (- x -1))) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (- x -1) (sqrt (- x -1))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- x -1) (sqrt (- x -1))) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ (- x -1) (sqrt (- x -1))) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- x -1) (sqrt (- x -1))) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (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) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
Calls

3 calls:

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

rewrite146.0ms (6%)

Memory
-13.8MiB live, 138.1MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025122
039114
1222114
2585114
31797110
04086107
Stop Event
iter-limit
node-limit
iter-limit
Counts
21 → 1 283
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 (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))
#s(literal -1 binary64)
(-.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 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))
(/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 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 1/2 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 -1/2 binary64) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/2 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) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) x)
(/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))
(/.f64 (neg.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 (/.f64 #s(literal 1/2 binary64) x) (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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) 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 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1/2 binary64) 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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(fma.f64 (/.f64 #s(literal -1/2 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 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/2 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) (neg.f64 (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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (/.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 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 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 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
#s(literal 1/2 binary64)
(*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(sqrt.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fabs.f64 (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
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 (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 (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) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.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 (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 (/.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 (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 (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 (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 (/.f64 #s(literal 1 binary64) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (/.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 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 (neg.f64 x) #s(literal 0 binary64))) (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 (neg.f64 x) #s(literal 0 binary64))) (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 x #s(literal 0 binary64))) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))) (*.f64 (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 0 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.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 (neg.f64 x) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (*.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 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))
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(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
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(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.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 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))) (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 0 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(cosh.f64 (asinh.f64 (neg.f64 (sqrt.f64 x))))
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(sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal -1 binary64))))
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(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.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)))) (neg.f64 (/.f64 x (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
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(fabs.f64 (-.f64 (neg.f64 (/.f64 x (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fabs.f64 (*.f64 (/.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 (-.f64 x #s(literal -1 binary64)))))))
(fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fabs.f64 (*.f64 (/.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 (-.f64 x #s(literal -1 binary64)))))))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fabs.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fabs.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fabs.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fabs.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #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)))
(+.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 x (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(+.f64 (/.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 x)) (-.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (*.f64 x (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(+.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) x) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (/.f64 (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (/.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 x)) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(+.f64 (/.f64 (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(+.f64 (/.f64 (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(+.f64 (/.f64 (*.f64 x (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (/.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(+.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) x) (-.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) x) (-.f64 x #s(literal -1 binary64))) (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) x) (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 (+.f64 #s(literal 0 binary64) x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 x (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(+.f64 (/.f64 x (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))

eval173.0ms (7.1%)

Memory
-9.1MiB live, 306.7MiB allocated; 74ms collecting garbage
Compiler

Compiled 31 350 to 4 413 computations (85.9% saved)

prune28.0ms (1.2%)

Memory
18.7MiB live, 64.6MiB allocated; 4ms collecting garbage
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1 37041 374
Fresh112
Picked145
Done000
Total1 37291 381
Accuracy
100.0%
Counts
1 381 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.5%
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
7.2%
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))
7.1%
(-.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))
97.1%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
97.0%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))))))
97.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
97.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
97.6%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
Compiler

Compiled 205 to 158 computations (22.9% saved)

series28.0ms (1.2%)

Memory
-0.5MiB live, 44.3MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02521583
Stop Event
iter-limit
Counts
28 → 65
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) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))))
(*.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(/.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 (sqrt (/ 1 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))))
#s(approx (/ 1/2 (* x (/ (sqrt 2) (sqrt (* x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* x (/ (sqrt 2) (sqrt (* x 2)))) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (/ (sqrt 2) (sqrt (* x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (sqrt (* x 2)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (* x 2) (*.f64 #s(literal 2 binary64) x))
#s(approx (/ (- (- x -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 (/ 1/2 (sqrt (/ 1 x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ 1/2 (* x (/ (sqrt 2) (sqrt (* x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* x (/ (sqrt 2) (sqrt (* x 2)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))
#s(approx (/ (sqrt 2) (sqrt (* x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))
#s(approx (sqrt (* x 2)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))
#s(approx (- 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 (/ 1/2 (* x (/ (sqrt 2) (sqrt (* x 2))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* x (/ (sqrt 2) (sqrt (* x 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))
#s(approx (/ (sqrt 2) (sqrt (* x 2))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))))
#s(approx (sqrt (* x 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))
#s(approx (+ (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
12.0ms
x
-inf
4.0ms
x
0
4.0ms
x
inf

rewrite140.0ms (5.8%)

Memory
24.3MiB live, 215.7MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035190
053168
1230166
2734162
33093162
04044156
Stop Event
iter-limit
node-limit
iter-limit
Counts
28 → 1 443
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) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))))
(*.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(/.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) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x x)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x x))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x x))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (+.f64 x x))))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x x)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 (+.f64 x x))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x x)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x x)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (neg.f64 (sqrt.f64 (+.f64 x x))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (+.f64 x x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 x x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (+.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 (+.f64 x 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 1/2 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) 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 binary64) (sqrt.f64 (+.f64 x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x x))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.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 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) 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))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.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 1/2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 x x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (+.f64 x x))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 (sqrt.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (+.f64 x x))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -2 binary64) x))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 x x))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 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 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x x))))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x x)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 x (sqrt.f64 (+.f64 x x))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x 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) (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 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 x x)))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -2 binary64) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 x 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))) x)
(/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -2 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)))
(/.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 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) x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x x)))))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (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 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x x)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(*.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 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x x))) (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) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x x))))
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(/.f64 (+.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.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) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3 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 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3 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 (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 (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 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) (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 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(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 (-.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 #s(literal 1 binary64) #s(literal 1/2 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))))
(-.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 (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)) #s(literal -1/2 binary64)) (-.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 x #s(literal -1 binary64)) #s(literal 1/2 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 (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)))

eval188.0ms (7.7%)

Memory
-22.1MiB live, 348.4MiB allocated; 73ms collecting garbage
Compiler

Compiled 36 742 to 5 483 computations (85.1% saved)

prune58.0ms (2.4%)

Memory
-13.7MiB live, 89.1MiB allocated; 42ms collecting garbage
Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New1 51631 519
Fresh000
Picked235
Done134
Total1 51991 528
Accuracy
100.0%
Counts
1 528 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
7.1%
(-.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))
99.2%
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
97.1%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
97.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
97.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
97.6%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
97.4%
#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 138 to 102 computations (26.1% saved)

series36.0ms (1.5%)

Memory
38.7MiB live, 82.7MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03903468
Stop Event
iter-limit
Counts
18 → 73
Calls
Call 1
Inputs
#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)
(sqrt.f64 x)
x
#s(literal 1/2 binary64)
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(pow.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) #s(literal 2 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))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.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)
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 (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (* (pow (+ (sqrt (- x -1)) (sqrt x)) (/ -1 2)) (pow (+ (sqrt (- x -1)) (sqrt x)) (/ -1 2))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* (pow (+ (sqrt (- x -1)) (sqrt x)) (/ -1 2)) (pow (+ (sqrt (- x -1)) (sqrt x)) (/ -1 2))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (pow (+ (sqrt (- x -1)) (sqrt x)) (/ -1 2)) (pow (+ (sqrt (- x -1)) (sqrt x)) (/ -1 2))) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/4 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 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (pow (+ (sqrt (- x -1)) (sqrt x)) (/ -1 2)) (pow (+ (sqrt (- x -1)) (sqrt x)) (/ -1 2))) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/4 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 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 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 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (fma.f64 #s(literal -1/12 binary64) (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 -1/16 binary64) (/.f64 (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 binary64) (sqrt.f64 x))))) (*.f64 #s(literal 1/384 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))))))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
#s(approx (pow (+ (sqrt (- x -1)) (sqrt x)) (/ -1 2)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (pow (+ (sqrt (- x -1)) (sqrt x)) (/ -1 2)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))))
#s(approx (pow (+ (sqrt (- x -1)) (sqrt x)) (/ -1 2)) (fma.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x (*.f64 (fma.f64 #s(literal 1/4 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 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))))
#s(approx (pow (+ (sqrt (- x -1)) (sqrt x)) (/ -1 2)) (fma.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x (fma.f64 x (*.f64 (-.f64 (fma.f64 #s(literal -1/12 binary64) (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 -1/16 binary64) (/.f64 (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 binary64) (sqrt.f64 x))))) (*.f64 #s(literal 1/384 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/4 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 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 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)) #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 -1) x) (+ (sqrt (- x -1)) (sqrt x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
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#s(approx (* (pow (+ (sqrt (- x -1)) (sqrt x)) (/ -1 2)) (pow (+ (sqrt (- x -1)) (sqrt x)) (/ -1 2))) (pow.f64 (exp.f64 (*.f64 #s(literal -1/2 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(literal 2 binary64)))
#s(approx (* (pow (+ (sqrt (- x -1)) (sqrt x)) (/ -1 2)) (pow (+ (sqrt (- x -1)) (sqrt x)) (/ -1 2))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1/2 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(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (pow.f64 (exp.f64 (*.f64 #s(literal -1/2 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(literal 2 binary64))))
#s(approx (* (pow (+ (sqrt (- x -1)) (sqrt x)) (/ -1 2)) (pow (+ (sqrt (- x -1)) (sqrt x)) (/ -1 2))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1/2 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(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1/2 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(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (fma.f64 #s(literal 7/64 binary64) (/.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1/2 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(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (pow.f64 (exp.f64 (*.f64 #s(literal -1/2 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(literal 2 binary64))))))
#s(approx (* (pow (+ (sqrt (- x -1)) (sqrt x)) (/ -1 2)) (pow (+ (sqrt (- x -1)) (sqrt x)) (/ -1 2))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1/2 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(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal -33/512 binary64) (/.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1/2 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(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (fma.f64 #s(literal -7/512 binary64) (/.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1/2 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(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1/2 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(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (fma.f64 #s(literal 7/64 binary64) (/.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1/2 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(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (pow.f64 (exp.f64 (*.f64 #s(literal -1/2 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(literal 2 binary64))))))))
#s(approx (pow (+ (sqrt (- x -1)) (sqrt x)) (/ -1 2)) (exp.f64 (*.f64 #s(literal -1/2 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 (pow (+ (sqrt (- x -1)) (sqrt x)) (/ -1 2)) (+.f64 (exp.f64 (*.f64 #s(literal -1/2 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 -1/8 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -1/2 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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))))
#s(approx (pow (+ (sqrt (- x -1)) (sqrt x)) (/ -1 2)) (+.f64 (exp.f64 (*.f64 #s(literal -1/2 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)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -1/2 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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 #s(literal 7/128 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -1/2 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 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))))))
#s(approx (pow (+ (sqrt (- x -1)) (sqrt x)) (/ -1 2)) (+.f64 (exp.f64 (*.f64 #s(literal -1/2 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)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -1/2 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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal -33/1024 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -1/2 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 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (*.f64 #s(literal 7/128 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -1/2 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 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 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
5.0ms
x
-inf
4.0ms
x
inf
3.0ms
x
0

rewrite145.0ms (5.9%)

Memory
-15.0MiB live, 221.7MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026115
037105
1182101
251993
3196293
0469993
Stop Event
iter-limit
node-limit
iter-limit
Counts
18 → 733
Calls
Call 1
Inputs
#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)
(sqrt.f64 x)
x
#s(literal 1/2 binary64)
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(pow.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) #s(literal 2 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))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.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)
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))))
(*.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)))
(*.f64 #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))))
(neg.f64 (*.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 (pow.f64 x #s(literal 0 binary64)) (/.f64 (sqrt.f64 x) x))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) 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 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x))
(pow.f64 (*.f64 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)) x) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 4 binary64)) (*.f64 (neg.f64 x) #s(literal 4 binary64)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 4 binary64)) (*.f64 (neg.f64 x) #s(literal 4 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) (*.f64 x #s(literal 4 binary64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 x) #s(literal -1/2 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (*.f64 #s(literal -1/2 binary64) (neg.f64 x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 x) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (*.f64 #s(literal -1/2 binary64) (neg.f64 x))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) (*.f64 #s(literal 4 binary64) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 4 binary64) (neg.f64 (sqrt.f64 x))) (*.f64 #s(literal 4 binary64) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (*.f64 #s(literal 4 binary64) x))
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(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)))))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))))
(/.f64 (*.f64 (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)))))
(/.f64 (*.f64 (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))))
(/.f64 (*.f64 (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
(/.f64 (*.f64 (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))))
(/.f64 (*.f64 (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
(/.f64 (neg.f64 (*.f64 (neg.f64 #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)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) #s(approx (- (- x -1) x) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(/.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 (*.f64 #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)))
(/.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 (neg.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
(/.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 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)) #s(approx (- (- x -1) 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 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) #s(approx (- (- x -1) x) #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (+.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 -2 binary64)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 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(literal 4 binary64) (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 8 binary64))
(/.f64 (*.f64 (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2 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 (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1/2 binary64) (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal 0 binary64) #s(approx (- (- x -1) x) #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) #s(approx (- (- x -1) x) #s(literal 1 binary64))))
(fma.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 1/2 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 1/2 binary64) #s(approx (- (- x -1) x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 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 (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (- x -1) x) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 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)

eval135.0ms (5.5%)

Memory
-12.7MiB live, 131.6MiB allocated; 54ms collecting garbage
Compiler

Compiled 31 095 to 3 278 computations (89.5% saved)

prune17.0ms (0.7%)

Memory
32.3MiB live, 32.3MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New1 09331 096
Fresh000
Picked123
Done156
Total1 095101 105
Accuracy
100.0%
Counts
1 105 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.5%
(/.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (+.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))) x))
99.7%
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
7.1%
(-.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))
51.6%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))) x)))
97.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
97.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
97.6%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
97.4%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)))
49.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(approx (sqrt (/ 1 x)) (sqrt.f64 (/.f64 x (*.f64 x x)))) #s(literal 1/2 binary64)))
Compiler

Compiled 159 to 119 computations (25.2% saved)

regimes24.0ms (1%)

Memory
-17.6MiB live, 29.0MiB allocated; 3ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
3 → 1
10 → 1
18 → 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)) (sqrt.f64 (/.f64 x (*.f64 x 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) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) 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)) (sqrt.f64 (/.f64 x (*.f64 x 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) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (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 2 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))) x)))
(/.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (+.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))) x))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) #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))
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:

5.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
5.0ms
x
3.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
1.0ms
x
Results
AccuracySegmentsBranch
1.6%1x
1.6%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
97.5%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
97.5%1x
97.6%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
97.6%1x
99.7%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
99.7%1x
Compiler

Compiled 326 to 117 computations (64.1% saved)

derivations35.0ms (1.4%)

Memory
19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 57 to 30 computations (47.4% saved)

preprocess36.0ms (1.5%)

Memory
2.7MiB live, 48.5MiB allocated; 3ms collecting garbage
Remove

(abs x)

Compiler

Compiled 192 to 140 computations (27.1% saved)

end0.0ms (0%)

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

Profiling

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