2sqrt (example 3.1)

Time bar (total: 16.3s)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Algorithm
1×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)

sample1.3s (7.7%)

Memory
60.3MiB live, 1 379.0MiB allocated; 488ms collecting garbage
Samples
849.0ms8 126×1valid
4.0ms130×0valid
Precisions
Click to see histograms. Total time spent on operations: 648.0ms
ival-sqrt: 340.0ms (52.5% of total)
adjust: 218.0ms (33.7% of total)
ival-add!: 55.0ms (8.5% of total)
ival-sub!: 35.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

preprocess358.0ms (2.2%)

Memory
-52.9MiB live, 52.8MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01223
13822
27822
325421
494921
5616521
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶5.9%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Symmetry

(abs x)

Compiler

Compiled 12 to 12 computations (0% saved)

series137.0ms (0.8%)

Memory
19.7MiB live, 19.7MiB allocated; 0ms collecting garbage
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:

TimeVariablePointExpression
4.0ms
x
@inf
((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) x 1 (sqrt x))
3.0ms
x
@-inf
((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) x 1 (sqrt x))
1.0ms
x
@0
((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) x 1 (sqrt x))

rewrite4.9s (30.3%)

Memory
43.8MiB live, 1 940.1MiB allocated; 536ms collecting garbage
Counts
6 → 1 768
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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (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))) (sqrt.f64 x))
(-.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fabs.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) (exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))))) #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))
(cosh.f64 (asinh.f64 (sqrt.f64 x)))
(cosh.f64 (asinh.f64 (neg.f64 (sqrt.f64 x))))
(cosh.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))))
(cosh.f64 (neg.f64 (asinh.f64 (neg.f64 (sqrt.f64 x)))))
(hypot.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) #s(literal 1 binary64))
(hypot.f64 (sqrt.f64 x) (neg.f64 #s(literal 1 binary64)))
(hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 0 binary64))
(hypot.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(hypot.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 #s(literal 1 binary64)))
(hypot.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(hypot.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)))
(hypot.f64 (*.f64 (sqrt.f64 x) (neg.f64 #s(literal 1 binary64))) #s(literal 1 binary64))
(hypot.f64 (*.f64 (sqrt.f64 x) (neg.f64 #s(literal 1 binary64))) (neg.f64 #s(literal 1 binary64)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(hypot.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 #s(literal 1 binary64)))
(hypot.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(hypot.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x)) (neg.f64 #s(literal 1 binary64)))
(hypot.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(hypot.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))
(hypot.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(hypot.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (neg.f64 #s(literal 1 binary64))))
(hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(hypot.f64 #s(literal 1 binary64) (*.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x)))
(hypot.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
(hypot.f64 (neg.f64 #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (neg.f64 #s(literal 1 binary64))))
(hypot.f64 (neg.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(hypot.f64 (neg.f64 #s(literal 1 binary64)) (*.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x)))
(hypot.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64))
(hypot.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(hypot.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 #s(literal 1 binary64))) #s(literal 0 binary64))
(hypot.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64))
(hypot.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64))
(hypot.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(hypot.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)))
(hypot.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 #s(literal 1 binary64))) #s(literal 1 binary64))
(hypot.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 #s(literal 1 binary64))) (neg.f64 #s(literal 1 binary64)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (neg.f64 #s(literal 1 binary64)))
(hypot.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(hypot.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (neg.f64 #s(literal 1 binary64)))
(hypot.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(hypot.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(hypot.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 #s(literal 1 binary64))))
(hypot.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(hypot.f64 #s(literal 0 binary64) (*.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(hypot.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(hypot.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 #s(literal 1 binary64))))
(hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(hypot.f64 #s(literal 1 binary64) (*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))))
(hypot.f64 (neg.f64 #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 #s(literal 1 binary64))))
(hypot.f64 (neg.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(hypot.f64 (neg.f64 #s(literal 1 binary64)) (*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))))
(hypot.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(hypot.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 #s(literal 1 binary64))) #s(literal 0 binary64))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 0 binary64))
(hypot.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 0 binary64))
(hypot.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(hypot.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 #s(literal 1 binary64))))
(hypot.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(hypot.f64 #s(literal 0 binary64) (*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(pow.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (neg.f64 #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64))) (neg.f64 #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
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(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 x)

eval344.0ms (2.1%)

Memory
-5.1MiB live, 356.6MiB allocated; 124ms collecting garbage
Compiler

Compiled 19 632 to 7 132 computations (63.7% saved)

prune54.0ms (0.3%)

Memory
4.9MiB live, 51.9MiB allocated; 2ms collecting garbage
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1 78461 790
Fresh000
Picked011
Done000
Total1 78471 791
Accuracy
99.3%
Counts
1 791 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.0%
(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
✓5.9%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
▶4.5%
(-.f64 #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
▶1.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
33.3%
#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))
▶73.3%
#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))
▶97.8%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 226 to 206 computations (8.8% saved)

series190.0ms (1.2%)

Memory
38.1MiB live, 129.2MiB allocated; 13ms collecting garbage
Counts
31 → 70
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
x
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
(sqrt.f64 x)
(-.f64 #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(literal 1/8 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 x)))
#s(approx (/ 1/2 (* x (sqrt (/ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))
#s(approx x x)
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 x)))
#s(approx (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))
#s(approx (+ (* (sqrt x) (sqrt x)) 1) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))
#s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
#s(approx (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))))
#s(approx (* 1/2 (/ 1 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))))
#s(approx (/ 1 (sqrt (/ 1 x))) (/.f64 x (sqrt.f64 x)))
#s(approx (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
#s(approx (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (/.f64 x (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (pow x 2) (pow (sqrt (/ 1 x)) 3)) (/.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) x))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (pow (sqrt (/ 1 x)) 3) (/.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x))
#s(approx (* x (sqrt (/ 1 x))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (/ 1 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (+ x 1)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (+ x 1)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (+ x 1)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (*.f64 x (-.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (+.f64 (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 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 3 binary64))))))))
#s(approx (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (+.f64 (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 4 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 3 binary64)))))))))
#s(approx (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (*.f64 x (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (*.f64 x (+.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 3 binary64)))))))
#s(approx (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #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 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 3 binary64))))))))
#s(approx (+ (* (sqrt x) (sqrt x)) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
#s(approx (+ (* (sqrt x) (sqrt x)) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (/ 1 (sqrt (/ 1 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (* (pow x 2) (pow (sqrt (/ 1 x)) 3)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
#s(approx (pow (sqrt (/ 1 x)) 3) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x)))
#s(approx (sqrt (+ x 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (+ x 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (+ x 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (+ x 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (+.f64 (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 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 3 binary64)))))))))
#s(approx (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (+.f64 (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 4 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 3 binary64))))))))))
#s(approx (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 3 binary64))))))))
#s(approx (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #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 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 3 binary64)))))))))
#s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (* x (sqrt (/ 1 x)))) 1/2 (* x (sqrt (/ 1 x))) x (sqrt (/ 1 x)) (/ 1 x) 1 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ 1 (* 1/2 x)) (* 1/2 x) (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (+ (* (sqrt x) (sqrt x)) 1) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/ 1 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)) (pow x 2) 2 (pow (sqrt (/ 1 x)) 3) 3)
7.0ms
x
@inf
((- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (* x (sqrt (/ 1 x)))) 1/2 (* x (sqrt (/ 1 x))) x (sqrt (/ 1 x)) (/ 1 x) 1 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ 1 (* 1/2 x)) (* 1/2 x) (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (+ (* (sqrt x) (sqrt x)) 1) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/ 1 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)) (pow x 2) 2 (pow (sqrt (/ 1 x)) 3) 3)
6.0ms
x
@0
((- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (* x (sqrt (/ 1 x)))) 1/2 (* x (sqrt (/ 1 x))) x (sqrt (/ 1 x)) (/ 1 x) 1 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ 1 (* 1/2 x)) (* 1/2 x) (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (+ (* (sqrt x) (sqrt x)) 1) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/ 1 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)) (pow x 2) 2 (pow (sqrt (/ 1 x)) 3) 3)

rewrite1.3s (8.2%)

Memory
-44.4MiB live, 442.3MiB allocated; 137ms collecting garbage
Counts
31 → 1 063
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
x
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
(sqrt.f64 x)
(-.f64 #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(literal 1/8 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
#s(approx (- (cosh (asinh (sqrt x))) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 x x) 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 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x)))) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 x x) x))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x)))) (/.f64 (neg.f64 #s(literal 1/2 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (neg.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 x x) x))) (neg.f64 #s(literal 1/2 binary64)))
(*.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 (neg.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (*.f64 x x) x))))
(*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x)) (neg.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 x x) x))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) x))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x))))
(*.f64 (/.f64 (neg.f64 #s(literal 1/2 binary64)) (sqrt.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 #s(literal 1 binary64))) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 #s(literal 1/2 binary64)) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 x x) x))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (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))) (neg.f64 #s(literal 1 binary64))) (neg.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) (sqrt.f64 (/.f64 (*.f64 x x) x)))
(/.f64 (*.f64 (/.f64 (neg.f64 #s(literal 1/2 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 (neg.f64 #s(literal 1/2 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x)))) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x))) (sqrt.f64 x))
(/.f64 (/.f64 (neg.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 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (*.f64 x x) x)))
(/.f64 (*.f64 (neg.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 1 binary64))) (sqrt.f64 (/.f64 (*.f64 x x) x)))
(/.f64 (neg.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
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(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (neg.f64 #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) x)
(/.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) (neg.f64 x))
(neg.f64 (*.f64 (neg.f64 (/.f64 (*.f64 x x) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 x x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 x) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(fabs.f64 (*.f64 x x))
(neg.f64 (neg.f64 (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(pow.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x (fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(pow.f64 (neg.f64 (sqrt.f64 x)) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 x (fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(pow.f64 x (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(pow.f64 x (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(neg.f64 (neg.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fabs.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
(fabs.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))
(neg.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 2 binary64) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 3 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
#s(literal 3 binary64)

eval179.0ms (1.1%)

Memory
18.8MiB live, 243.2MiB allocated; 51ms collecting garbage
Compiler

Compiled 18 985 to 7 144 computations (62.4% saved)

prune37.0ms (0.2%)

Memory
23.2MiB live, 69.3MiB allocated; 4ms collecting garbage
Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New1 458111 469
Fresh011
Picked235
Done011
Total1 460161 476
Accuracy
99.9%
Counts
1 476 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓6.0%
(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
✓5.9%
(-.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))
97.9%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
▶97.9%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x))))
▶97.9%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
33.3%
#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))
98.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 x x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))
97.9%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 x))))
97.9%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))))
✓97.8%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
52.3%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 x x) x))))
▶98.1%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
98.1%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
▶52.4%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
▶98.7%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))))
Compiler

Compiled 501 to 467 computations (6.8% saved)

series167.0ms (1%)

Memory
-0.4MiB live, 103.7MiB allocated; 79ms collecting garbage
Counts
33 → 39
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))))
#s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(literal 1/8 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 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))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) x))
(/.f64 (*.f64 x x) x)
(*.f64 x x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) 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 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
#s(approx (* 1/2 (/ 1 (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (* 1/8 (/ 1 (pow (sqrt x) 3))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (/ 1 (pow (sqrt x) 3)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (pow (sqrt x) 3) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
#s(approx (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (sqrt (* (/ 1 x) x)) #s(literal 1 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 (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* 1/8 (/ 1 (pow (sqrt x) 3))) (/.f64 #s(literal 1/8 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 (/ 1 (pow (sqrt x) 3)) (/.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 (pow (sqrt x) 3) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
#s(approx (sqrt (/ 1 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (*.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 (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 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt x) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* 1/8 (/ 1 (pow (sqrt x) 3))) (/.f64 #s(literal -1/8 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 (/ 1 (pow (sqrt x) 3)) (/.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 (pow (sqrt x) 3) (*.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)))))
Calls

3 calls:

TimeVariablePointExpression
46.0ms
x
@inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (- (* 1/2 (/ 1 (sqrt x))) (* 1/8 (/ 1 (pow (sqrt x) 3)))) (* 1/2 (/ 1 (sqrt x))) 1/2 (/ 1 (sqrt x)) 1 (sqrt x) x (* 1/8 (/ 1 (pow (sqrt x) 3))) 1/8 (/ 1 (pow (sqrt x) 3)) (pow (sqrt x) 3) 3 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (* x (sqrt (/ 1 x)))) (* x (sqrt (/ 1 x))) (- (sqrt (+ x 1)) (sqrt x)) (/ (/ 1/2 x) (sqrt (/ 1 x))) (/ 1/2 x) (sqrt (/ 1 x)) (/ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (sqrt (/ 1 (/ (* x x) x))) (/ 1 (/ (* x x) x)) (/ (* x x) x) (* x x) (- (sqrt (+ x 1)) (sqrt x)) (/ (/ 1/2 (sqrt x)) (sqrt (* (/ 1 x) x))) (/ 1/2 (sqrt x)) (sqrt (* (/ 1 x) x)) (* (/ 1 x) x))
8.0ms
x
@-inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (- (* 1/2 (/ 1 (sqrt x))) (* 1/8 (/ 1 (pow (sqrt x) 3)))) (* 1/2 (/ 1 (sqrt x))) 1/2 (/ 1 (sqrt x)) 1 (sqrt x) x (* 1/8 (/ 1 (pow (sqrt x) 3))) 1/8 (/ 1 (pow (sqrt x) 3)) (pow (sqrt x) 3) 3 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (* x (sqrt (/ 1 x)))) (* x (sqrt (/ 1 x))) (- (sqrt (+ x 1)) (sqrt x)) (/ (/ 1/2 x) (sqrt (/ 1 x))) (/ 1/2 x) (sqrt (/ 1 x)) (/ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (sqrt (/ 1 (/ (* x x) x))) (/ 1 (/ (* x x) x)) (/ (* x x) x) (* x x) (- (sqrt (+ x 1)) (sqrt x)) (/ (/ 1/2 (sqrt x)) (sqrt (* (/ 1 x) x))) (/ 1/2 (sqrt x)) (sqrt (* (/ 1 x) x)) (* (/ 1 x) x))
4.0ms
x
@0
((- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (- (* 1/2 (/ 1 (sqrt x))) (* 1/8 (/ 1 (pow (sqrt x) 3)))) (* 1/2 (/ 1 (sqrt x))) 1/2 (/ 1 (sqrt x)) 1 (sqrt x) x (* 1/8 (/ 1 (pow (sqrt x) 3))) 1/8 (/ 1 (pow (sqrt x) 3)) (pow (sqrt x) 3) 3 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (* x (sqrt (/ 1 x)))) (* x (sqrt (/ 1 x))) (- (sqrt (+ x 1)) (sqrt x)) (/ (/ 1/2 x) (sqrt (/ 1 x))) (/ 1/2 x) (sqrt (/ 1 x)) (/ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (sqrt (/ 1 (/ (* x x) x))) (/ 1 (/ (* x x) x)) (/ (* x x) x) (* x x) (- (sqrt (+ x 1)) (sqrt x)) (/ (/ 1/2 (sqrt x)) (sqrt (* (/ 1 x) x))) (/ 1/2 (sqrt x)) (sqrt (* (/ 1 x) x)) (* (/ 1 x) x))

rewrite4.7s (28.7%)

Memory
-13.4MiB live, 1 653.6MiB allocated; 422ms collecting garbage
Counts
33 → 6 751
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))))
#s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(literal 1/8 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 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))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) x))
(/.f64 (*.f64 x x) x)
(*.f64 x x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) x)
Outputs
#s(approx (- (cosh (asinh (sqrt x))) (sqrt x)) #s(approx (/ (- 1/2 (/ 1/8 x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 x))))
#s(approx (/ (- 1/2 (/ 1/8 x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (/.f64 (sqrt.f64 x) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (neg.f64 #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 (*.f64 (neg.f64 #s(literal 1/2 binary64)) (sqrt.f64 x)) x (*.f64 (sqrt.f64 x) #s(literal 1/8 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 x)))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (*.f64 x x))
(*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 x))
(*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 x)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 x)) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 x x)) x)
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 x)) (neg.f64 (*.f64 x x))) (neg.f64 x))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (*.f64 x x)) (neg.f64 x))
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (neg.f64 (*.f64 x x))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 x))))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 x))))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 x))))
(*.f64 (neg.f64 #s(literal 1 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 x))))
(*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x)) (*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x)) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 x))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (neg.f64 x) (sqrt.f64 x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (neg.f64 x) (sqrt.f64 x))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x)))
(-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (neg.f64 x) (sqrt.f64 x))) (/.f64 (neg.f64 #s(literal 1/2 binary64)) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1/8 binary64))) (neg.f64 (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 x) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (+.f64 (neg.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (+.f64 (neg.f64 #s(literal 1/8 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 x) x))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 x))
(/.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 x))
(/.f64 (fma.f64 (neg.f64 #s(literal 1/2 binary64)) x #s(literal 1/8 binary64)) (*.f64 (neg.f64 x) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 x)) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (neg.f64 #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) x) (*.f64 (*.f64 x x) (sqrt.f64 x)))
(/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (*.f64 x x)) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 x x) x)))
(/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (neg.f64 #s(literal 1 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x)))
(/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) x))
(/.f64 (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 x)) x)
(/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (neg.f64 x)) (*.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 x)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 x) x))
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(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (sqrt.f64 x))) (/.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (sqrt.f64 x))) (/.f64 (*.f64 x x) (neg.f64 (sqrt.f64 x))) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (sqrt.f64 x))) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (sqrt.f64 x))) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (sqrt.f64 x))) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (sqrt.f64 x))) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (/.f64 (sqrt.f64 x) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x)) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (+.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) (/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x)) (/.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) (/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x)) (/.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(neg.f64 (neg.f64 #s(literal 1 binary64)))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 x) (-.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(pow.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)))
(pow.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)))
(pow.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) #s(literal -1 binary64)))
(pow.f64 #s(literal 1 binary64) (neg.f64 #s(literal -1 binary64)))
(pow.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)))
(pow.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)))
(pow.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) #s(literal -1 binary64)))
(pow.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)))
(pow.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(pow.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))
(pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) #s(literal -1 binary64)))
(pow.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1/2 binary64)))
(pow.f64 x (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(pow.f64 x (-.f64 #s(literal -1 binary64) #s(literal -1 binary64)))
(pow.f64 x (fma.f64 #s(literal 1/2 binary64) #s(literal 2 binary64) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
(pow.f64 #s(literal 1 binary64) (-.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 #s(literal 1 binary64) (-.f64 (neg.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 1/2 binary64))))
(pow.f64 #s(literal 1 binary64) (-.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (neg.f64 #s(literal 1/2 binary64))))
(pow.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (neg.f64 #s(literal 1/2 binary64))))
(pow.f64 #s(literal 1 binary64) (+.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 #s(literal 1 binary64) (+.f64 (neg.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 1/2 binary64))))
(pow.f64 #s(literal 1 binary64) (+.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 #s(literal 1/2 binary64))))
(pow.f64 #s(literal 1 binary64) (+.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 #s(literal 1/2 binary64))))
(pow.f64 x (-.f64 (+.f64 #s(literal 2 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) #s(literal -1 binary64))))
(pow.f64 x (-.f64 (+.f64 #s(literal 2 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(pow.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) #s(literal -1 binary64))))
(pow.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(pow.f64 x (-.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
(pow.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
(pow.f64 x (+.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
(pow.f64 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) #s(literal -1 binary64))))
(pow.f64 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(pow.f64 x (+.f64 (+.f64 #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 x (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1 binary64))

eval863.0ms (5.3%)

Memory
34.7MiB live, 579.4MiB allocated; 207ms collecting garbage
Compiler

Compiled 83 578 to 31 110 computations (62.8% saved)

prune111.0ms (0.7%)

Memory
1.2MiB live, 142.8MiB allocated; 7ms collecting garbage
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New6 44546 449
Fresh617
Picked415
Done224
Total6 45786 465
Accuracy
99.9%
Counts
6 465 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓5.9%
(-.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))
▶33.3%
#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))
✓98.1%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
▶98.7%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 x))))
▶98.7%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (neg.f64 x))))
▶98.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x))))
▶98.3%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 320 to 300 computations (6.3% saved)

series211.0ms (1.3%)

Memory
6.2MiB live, 55.9MiB allocated; 15ms collecting garbage
Counts
53 → 87
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (neg.f64 x))))
#s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (neg.f64 x)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (neg.f64 x))
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))
(-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x
#s(literal 1/2 binary64)
(sqrt.f64 x)
(neg.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x))))
#s(approx (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x))
(/.f64 (sqrt.f64 x) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 x))))
#s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 x)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 x))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 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))
(/.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)
(-.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)))))))
(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 #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)))))
#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 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))
#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))))))
(/.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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
#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)))))
#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))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))
#s(literal 7 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 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
#s(approx (/ (* (- (/ 1/8 x) 1/2) (sqrt x)) (neg x)) (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ (* (- (/ 1/8 x) 1/2) (sqrt x)) (neg x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (- (/ 1/8 x) 1/2) (sqrt x)) (*.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 x) x)))
#s(approx (* (- (/ 1/8 x) 1/2) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x))
#s(approx (- (/ 1/8 x) 1/2) (/.f64 #s(literal 1/8 binary64) x))
#s(approx (- (/ 1/8 x) 1/2) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) x)) x))
#s(approx x x)
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (* (sqrt (/ 1 (/ (* x x) 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 (/ (- 1/2 (/ 1/8 x)) (sqrt x)) (/.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 x))))
#s(approx (/ (- 1/2 (/ 1/8 x)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))
#s(approx (- 1/2 (/ 1/8 x)) (/.f64 #s(literal -1/8 binary64) x))
#s(approx (- 1/2 (/ 1/8 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x))
#s(approx (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 7 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))))
#s(approx (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) (*.f64 x (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 7 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))))))
#s(approx (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))))))
#s(approx (/ 1 (sqrt (/ 1 x))) (/.f64 x (sqrt.f64 x)))
#s(approx (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))) (*.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))))
#s(approx (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/.f64 x (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))))
#s(approx (* (pow x 4) (pow (sqrt (/ 1 x)) 5)) (/.f64 (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)) x))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#s(approx (pow (sqrt (/ 1 x)) 5) (/.f64 (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))))) (*.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 7 binary64)))))))
#s(approx (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
#s(approx (* (pow x 2) (pow (sqrt (/ 1 x)) 3)) (/.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) x))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (pow (sqrt (/ 1 x)) 3) (/.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))) (*.f64 #s(literal 5/128 binary64) (/.f64 x (pow.f64 (sqrt.f64 x) #s(literal 7 binary64)))))
#s(approx (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))) (/.f64 x (pow.f64 (sqrt.f64 x) #s(literal 7 binary64))))
#s(approx (* (pow x 6) (pow (sqrt (/ 1 x)) 7)) (/.f64 (pow.f64 (sqrt.f64 x) #s(literal 7 binary64)) x))
#s(approx (pow x 6) (pow.f64 x #s(literal 6 binary64)))
#s(approx (pow (sqrt (/ 1 x)) 7) (/.f64 (pow.f64 (sqrt.f64 x) #s(literal 7 binary64)) (pow.f64 x #s(literal 7 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 (/ (* (- (/ 1/8 x) 1/2) (sqrt x)) (neg x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (* (- (/ 1/8 x) 1/2) (sqrt x)) (neg x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (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 (* (- (/ 1/8 x) 1/2) (sqrt x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* (- (/ 1/8 x) 1/2) (sqrt x)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))
#s(approx (- (/ 1/8 x) 1/2) #s(literal -1/2 binary64))
#s(approx (- (/ 1/8 x) 1/2) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (sqrt 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 (/ (- 1/2 (/ 1/8 x)) (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 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))
#s(approx (- 1/2 (/ 1/8 x)) #s(literal 1/2 binary64))
#s(approx (- 1/2 (/ 1/8 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) (-.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))))))
#s(approx (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) (-.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))))))))
#s(approx (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (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)))))))
#s(approx (/ 1 (sqrt (/ 1 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))) (/.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)))))
#s(approx (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/.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)))))
#s(approx (* (pow x 4) (pow (sqrt (/ 1 x)) 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))
#s(approx (pow (sqrt (/ 1 x)) 5) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))
#s(approx (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))))) (/.f64 (fma.f64 #s(literal 5/128 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 7 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (pow x 2) (pow (sqrt (/ 1 x)) 3)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
#s(approx (pow (sqrt (/ 1 x)) 3) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
#s(approx (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))) (/.f64 #s(literal 5/128 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))))
#s(approx (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))) (/.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)))))
#s(approx (* (pow x 6) (pow (sqrt (/ 1 x)) 7)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))
#s(approx (pow (sqrt (/ 1 x)) 7) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 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 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)))
#s(approx (/ (* (- (/ 1/8 x) 1/2) (sqrt x)) (neg x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (* (- (/ 1/8 x) 1/2) (sqrt x)) (neg x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
#s(approx (* (- (/ 1/8 x) 1/2) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* (- (/ 1/8 x) 1/2) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))))
#s(approx (sqrt x) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (sqrt x) x) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- 1/2 (/ 1/8 x)) (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 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)))
#s(approx (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.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)))) (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 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) x)))
#s(approx (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.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)))))) (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))))))) x)))
Calls

3 calls:

TimeVariablePointExpression
11.0ms
x
@-inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (/ (* (- (/ 1/8 x) 1/2) (sqrt x)) (neg x)) (* (- (/ 1/8 x) 1/2) (sqrt x)) (- (/ 1/8 x) 1/2) (/ 1/8 x) 1/8 x 1/2 (sqrt x) (neg x) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) 1 (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (* 1/2 (/ (sqrt x) x)) (/ (sqrt x) x) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (/ (- 1/2 (/ 1/8 x)) (sqrt x)) (- 1/2 (/ 1/8 x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x) (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (/ 1 (sqrt (/ 1 x))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))) 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* (pow x 4) (pow (sqrt (/ 1 x)) 5)) (pow x 4) 4 (pow (sqrt (/ 1 x)) 5) 5 (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)) (pow x 2) 2 (pow (sqrt (/ 1 x)) 3) 3 (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))) 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))) (* (pow x 6) (pow (sqrt (/ 1 x)) 7)) (pow x 6) 6 (pow (sqrt (/ 1 x)) 7) 7)
10.0ms
x
@0
((- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (/ (* (- (/ 1/8 x) 1/2) (sqrt x)) (neg x)) (* (- (/ 1/8 x) 1/2) (sqrt x)) (- (/ 1/8 x) 1/2) (/ 1/8 x) 1/8 x 1/2 (sqrt x) (neg x) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) 1 (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (* 1/2 (/ (sqrt x) x)) (/ (sqrt x) x) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (/ (- 1/2 (/ 1/8 x)) (sqrt x)) (- 1/2 (/ 1/8 x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x) (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (/ 1 (sqrt (/ 1 x))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))) 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* (pow x 4) (pow (sqrt (/ 1 x)) 5)) (pow x 4) 4 (pow (sqrt (/ 1 x)) 5) 5 (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)) (pow x 2) 2 (pow (sqrt (/ 1 x)) 3) 3 (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))) 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))) (* (pow x 6) (pow (sqrt (/ 1 x)) 7)) (pow x 6) 6 (pow (sqrt (/ 1 x)) 7) 7)
8.0ms
x
@inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (/ (* (- (/ 1/8 x) 1/2) (sqrt x)) (neg x)) (* (- (/ 1/8 x) 1/2) (sqrt x)) (- (/ 1/8 x) 1/2) (/ 1/8 x) 1/8 x 1/2 (sqrt x) (neg x) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) 1 (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (* 1/2 (/ (sqrt x) x)) (/ (sqrt x) x) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (/ (- 1/2 (/ 1/8 x)) (sqrt x)) (- 1/2 (/ 1/8 x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x) (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (/ 1 (sqrt (/ 1 x))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))) 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* (pow x 4) (pow (sqrt (/ 1 x)) 5)) (pow x 4) 4 (pow (sqrt (/ 1 x)) 5) 5 (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)) (pow x 2) 2 (pow (sqrt (/ 1 x)) 3) 3 (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))) 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))) (* (pow x 6) (pow (sqrt (/ 1 x)) 7)) (pow x 6) 6 (pow (sqrt (/ 1 x)) 7) 7)

rewrite1.2s (7.4%)

Memory
-270.1MiB live, 563.1MiB allocated; 1.0s collecting garbage
Counts
53 → 443
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (neg.f64 x))))
#s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (neg.f64 x)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (neg.f64 x))
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))
(-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x
#s(literal 1/2 binary64)
(sqrt.f64 x)
(neg.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x))))
#s(approx (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x))
(/.f64 (sqrt.f64 x) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 x))))
#s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 x)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 x))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 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))
(/.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)
(-.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)))))))
(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 #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)))))
#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 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))
#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))))))
(/.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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
#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)))))
#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))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))
#s(literal 7 binary64)
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (/ 1/2 (sqrt (/ 1 x))) (/ 1/8 (* (* x 1) (sqrt (/ 1 x))))) x) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 x)) x)))
#s(approx (/ (- (/ 1/2 (sqrt (/ 1 x))) (/ 1/8 (* (* x 1) (sqrt (/ 1 x))))) x) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 x)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (neg.f64 x)) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 x) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 x)) x)
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) (neg.f64 x))
(neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 x) x)))
(neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (/.f64 (sqrt.f64 x) (neg.f64 x))))
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) x) (sqrt.f64 x)) (*.f64 (neg.f64 #s(literal 1/2 binary64)) (sqrt.f64 x)))
(+.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/8 binary64) x)) (*.f64 (sqrt.f64 x) (neg.f64 #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1/8 binary64) x) (*.f64 (sqrt.f64 x) (neg.f64 #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) x) (sqrt.f64 x) (*.f64 (neg.f64 #s(literal 1/2 binary64)) (sqrt.f64 x)))
(neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal 1/8 binary64) x) (neg.f64 #s(literal 1/2 binary64)))
(+.f64 (neg.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))
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(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 #s(literal 5/128 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 #s(literal 5/128 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))
(fma.f64 (neg.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 1 binary64))))) (neg.f64 (/.f64 #s(literal 5/128 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 5/128 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 #s(literal 5/128 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/8 binary64) (neg.f64 (/.f64 #s(literal 5/128 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))
(neg.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/8 binary64) (/.f64 #s(literal 5/128 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/8 binary64))
(*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 1 binary64)))))
(*.f64 (neg.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 1 binary64))))))
(/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 #s(literal 1/8 binary64)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 1/8 binary64)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 1/8 binary64) (neg.f64 #s(literal 1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 #s(literal 1/8 binary64))) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 1 binary64))))))
(neg.f64 (/.f64 (neg.f64 #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 1 binary64)))))
(*.f64 (*.f64 x x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) x) x)
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(fabs.f64 (*.f64 x x))
(neg.f64 (neg.f64 (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 #s(literal 5/128 binary64) (/.f64 (pow.f64 x (neg.f64 #s(literal 6 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))
(*.f64 (/.f64 (pow.f64 x (neg.f64 #s(literal 6 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))) #s(literal 5/128 binary64))
(*.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))) (pow.f64 x (neg.f64 #s(literal 6 binary64))))
(*.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 5/128 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))))
(/.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))
(/.f64 (*.f64 (pow.f64 x (neg.f64 #s(literal 6 binary64))) #s(literal 5/128 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))
(/.f64 (*.f64 #s(literal 5/128 binary64) (pow.f64 x (neg.f64 #s(literal 6 binary64)))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))
(/.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (neg.f64 #s(literal 5/128 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))
(/.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 5/128 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))
(/.f64 (*.f64 #s(literal 5/128 binary64) (neg.f64 #s(literal 1 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))
(/.f64 #s(literal 5/128 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))
#s(literal 5/128 binary64)
(*.f64 #s(literal 5/128 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 5/128 binary64))
(*.f64 (/.f64 (pow.f64 x (neg.f64 #s(literal 6 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x (neg.f64 #s(literal 6 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 (pow.f64 x (neg.f64 #s(literal 6 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))
(*.f64 (pow.f64 x (neg.f64 #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))
(*.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))))
(/.f64 (pow.f64 x (neg.f64 #s(literal 6 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 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))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (neg.f64 (pow.f64 x (neg.f64 #s(literal 6 binary64)))) (neg.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))
(/.f64 (neg.f64 #s(literal 1 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) #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))))
(/.f64 (neg.f64 (neg.f64 #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))))
(neg.f64 (/.f64 (neg.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)))))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))) #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)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)) (pow.f64 x #s(literal 6 binary64)))
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 7 binary64) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))
#s(literal 7 binary64)

eval60.0ms (0.4%)

Memory
16.4MiB live, 108.5MiB allocated; 7ms collecting garbage
Compiler

Compiled 9 004 to 3 696 computations (59% saved)

prune21.0ms (0.1%)

Memory
-13.9MiB live, 33.4MiB allocated; 2ms collecting garbage
Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New5815586
Fresh000
Picked235
Done033
Total58311594
Accuracy
99.9%
Counts
594 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓5.9%
(-.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))
33.3%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.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 5/128 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 1 binary64))))) x))
33.3%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 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))
98.9%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) (*.f64 x (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 7 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))))) x))
✓98.1%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
98.7%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (/ 1/2 (sqrt (/ 1 x))) (/ 1/8 (* (* x 1) (sqrt (/ 1 x))))) x) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 x)) x)))
99.0%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 7 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))))))
✓98.7%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 x))))
✓98.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x))))
✓98.3%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 751 to 537 computations (28.5% saved)

regimes35.0ms (0.2%)

Memory
17.3MiB live, 17.3MiB allocated; 0ms collecting garbage
Counts
27 → 1
Calls
Call 1
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)) #s(approx (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) 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)) #s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 x x) 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 #s(literal 1/2 binary64) 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))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (/ 1/2 (sqrt (/ 1 x))) (/ 1/8 (* (* x 1) (sqrt (/ 1 x))))) x) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 x)) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (neg.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 x x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))))
#s(approx (- (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)) #s(approx (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 7 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) (*.f64 x (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 7 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.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 5/128 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 1 binary64))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 7 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))))))
Calls

2 calls:

7.0ms
x
5.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
99.0%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
99.0%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes17.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated; 0ms collecting garbage
Counts
22 → 1
Calls
Call 1
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)) #s(approx (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) 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)) #s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 x x) 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 #s(literal 1/2 binary64) 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))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (/ 1/2 (sqrt (/ 1 x))) (/ 1/8 (* (* x 1) (sqrt (/ 1 x))))) x) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 x)) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (neg.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 x x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))))
#s(approx (- (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
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (/ 1/2 (sqrt (/ 1 x))) (/ 1/8 (* (* x 1) (sqrt (/ 1 x))))) x) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 x)) x)))
Calls

2 calls:

9.0ms
x
6.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
98.7%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
98.7%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes8.0ms (0%)

Memory
5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Counts
11 → 1
Calls
Call 1
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)) #s(approx (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) 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)) #s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 x x) 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 #s(literal 1/2 binary64) 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)) #s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 x))))
Calls

2 calls:

4.0ms
x
3.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
98.7%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
98.7%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
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)) #s(approx (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) 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))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (* (sqrt (/ 1 (/ (* x x) x))) 1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
Calls

2 calls:

3.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
98.3%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
98.3%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
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))))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
Calls

2 calls:

2.0ms
x
1.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
98.1%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
98.1%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes8.0ms (0%)

Memory
-47.0MiB live, 3.3MiB allocated; 10ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 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))
Calls

2 calls:

6.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
1.0ms
x
Results
AccuracySegmentsBranch
1.6%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
1.6%1x
Compiler

Compiled 7 to 7 computations (0% saved)

derivations2.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 136 to 96 computations (29.4% saved)

preprocess65.0ms (0.4%)

Memory
25.8MiB live, 71.9MiB allocated; 5ms collecting garbage
Remove

(abs x)

Compiler

Compiled 493 to 426 computations (13.6% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...