Main:bigenough3 from C

Time bar (total: 4.4s)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
66.7%50%25%0%0%25%0%3
80%50%12.5%0%0%37.5%0%4
88.9%50%6.2%0%0%43.7%0%5
94.1%50%3.1%0%0%46.9%0%6
97%50%1.6%0%0%48.4%0%7
98.5%50%0.8%0%0%49.2%0%8
99.2%50%0.4%0%0%49.6%0%9
99.6%50%0.2%0%0%49.8%0%10
99.8%50%0.1%0%0%49.9%0%11
99.9%50%0%0%0%49.9%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.0s (23.2%)

Memory
7.8MiB live, 1 167.7MiB allocated; 278ms collecting garbage
Samples
488.0ms4 136×1valid
215.0ms4 120×0valid
1.0ms14×0invalid
Precisions
Click to see histograms. Total time spent on operations: 496.0ms
ival-sqrt: 250.0ms (50.4% of total)
ival-add!: 132.0ms (26.6% of total)
adjust: 85.0ms (17.1% of total)
ival-sub!: 28.0ms (5.6% of total)
Bogosity

preprocess243.0ms (5.5%)

Memory
-7.4MiB live, 37.8MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01223
13822
27822
325421
494921
5616521
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.9%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Symmetry

(abs x)

Compiler

Compiled 12 to 12 computations (0% saved)

series10.0ms (0.2%)

Memory
27.9MiB live, 27.9MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) x 1 (sqrt x))
1.0ms
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))

rewrite231.0ms (5.2%)

Memory
16.1MiB live, 399.8MiB allocated; 87ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
01018
15718
214018
333218
4120718
0825818
11964618
Stop Event
saturated
node-limit
iter-limit
Counts
6 → 604
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
(neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 (exp.f64 (asinh.f64 (neg.f64 (sqrt.f64 x)))) (exp.f64 (neg.f64 (asinh.f64 (neg.f64 (sqrt.f64 x)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) (exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))))) #s(literal 2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(cosh.f64 (neg.f64 (asinh.f64 (neg.f64 (sqrt.f64 x)))))
(cosh.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))))
(cosh.f64 (asinh.f64 (neg.f64 (sqrt.f64 x))))
(cosh.f64 (asinh.f64 (sqrt.f64 x)))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fabs.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 8 binary64)) #s(literal 1/4 binary64))
(*.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 64 binary64)) #s(literal 16 binary64))
(*.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 32 binary64)) #s(literal 8 binary64))
(*.f64 (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal 8 binary64)) #s(literal -4 binary64))
(*.f64 (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal -2 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -16 binary64)) #s(literal -8 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal -4 binary64))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -4 binary64)) #s(literal -4 binary64))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (E.f64)) (E.f64))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 8 binary64))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 8 binary64)) #s(literal 8 binary64))
(*.f64 (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))
(*.f64 (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))) #s(literal 4 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal -2 binary64))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (+.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64)))
(*.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)))
(*.f64 (fabs.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))) #s(literal 4 binary64))
(*.f64 (fabs.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal 4 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(*.f64 #s(literal 4 binary64) (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
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(hypot.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x))))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(hypot.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))))
(hypot.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x))))
(hypot.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(hypot.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(hypot.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(hypot.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(hypot.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))))
(hypot.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x))))
(hypot.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)))
(hypot.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(hypot.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(hypot.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(hypot.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(hypot.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(hypot.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))))
(hypot.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x))))
(hypot.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)))
(hypot.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(hypot.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(hypot.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(hypot.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(hypot.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(+.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 (cosh.f64 #s(literal -1 binary64)) (cosh.f64 #s(literal -1 binary64)))) (*.f64 (sinh.f64 #s(literal 1 binary64)) (sinh.f64 #s(literal 1 binary64))))
(+.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(+.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -4 binary64)) #s(literal -4 binary64))
(+.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (sinh.f64 #s(literal 1 binary64)) (cosh.f64 #s(literal -1 binary64)))) (*.f64 (cosh.f64 #s(literal -1 binary64)) (sinh.f64 #s(literal 1 binary64))))
(+.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(+.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64))
(+.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(+.f64 (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))) (-.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 3/2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (-.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64))))
(+.f64 (*.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (-.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(+.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal -1 binary64) (-.f64 x #s(literal -2 binary64)))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/2 binary64) (-.f64 x #s(literal -1 binary64))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)))
(+.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(+.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/8 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(fabs.f64 (sqrt.f64 x))

eval82.0ms (1.9%)

Memory
-4.6MiB live, 146.0MiB allocated; 25ms collecting garbage
Compiler

Compiled 5 295 to 2 127 computations (59.8% saved)

prune77.0ms (1.8%)

Memory
-16.3MiB live, 29.3MiB allocated; 4ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New6217628
Fresh000
Picked101
Done000
Total6227629
Accuracy
99.7%
Counts
629 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.9%
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
49.3%
(-.f64 #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
47.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
13.2%
#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))
21.7%
#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))
36.7%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x))
54.4%
#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 284 to 260 computations (8.5% saved)

series54.0ms (1.2%)

Memory
-5.3MiB live, 46.0MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01721192
Stop Event
iter-limit
Counts
32 → 51
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
x
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
(sqrt.f64 x)
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#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 (- x -1) (+.f64 #s(literal 1 binary64) x))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
#s(approx (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))))
#s(approx (* 1/2 (/ 1 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))))
#s(approx (/ 1 (sqrt (/ 1 x))) (/.f64 x (sqrt.f64 x)))
#s(approx (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
#s(approx (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (/.f64 x (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (pow x 2) (pow (sqrt (/ 1 x)) 3)) (/.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) x))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (pow (sqrt (/ 1 x)) 3) (/.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x))
#s(approx (* x (sqrt (/ 1 x))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (/ 1 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (+ x 1)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (+ x 1)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (+ x 1)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (- x -1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* 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 (/ (- (* 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
36.0ms
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)) (- x -1) -1 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ 1 (* 1/2 x)) (* 1/2 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 (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
@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)) (- x -1) -1 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ 1 (* 1/2 x)) (* 1/2 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 (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)
5.0ms
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)) (- x -1) -1 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ 1 (* 1/2 x)) (* 1/2 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 (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)

rewrite293.0ms (6.7%)

Memory
-24.9MiB live, 235.5MiB allocated; 144ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036246
057217
1284217
2852187
34244149
08919145
114116145
Stop Event
saturated
node-limit
iter-limit
Counts
32 → 1 826
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
x
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
(sqrt.f64 x)
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#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 -1/2 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) x)
(/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(/.f64 (sqrt.f64 x) (neg.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 (sqrt.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64)))
(fabs.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
#s(literal 1/2 binary64)
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x)
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal -1 binary64))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) x))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 x (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
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(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (*.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) (*.f64 (/.f64 #s(literal -1/2 binary64) x) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) x) (*.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (*.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(fma.f64 x (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(fma.f64 x (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 0 binary64)))
(fma.f64 x (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 x (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 0 binary64)))
(+.f64 (sqrt.f64 x) (*.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x x))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 x x))
#s(literal 2 binary64)
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x))
(*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x x) x) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) (*.f64 (sqrt.f64 x) x))
(*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 3/8 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 3/4 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64))
(/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64))
(/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) #s(literal 8 binary64))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))
(/.f64 #s(literal -8 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))
(/.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x))
(/.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))
(/.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 3 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(/.f64 (*.f64 (sqrt.f64 x) x) (neg.f64 (*.f64 (*.f64 x x) x)))
(/.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 x x) x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x)
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x))))
(sqrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x)))
(sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)))
(sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)))
(sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x))
(fabs.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
#s(literal 3 binary64)

eval307.0ms (7%)

Memory
4.5MiB live, 416.0MiB allocated; 76ms collecting garbage
Compiler

Compiled 16 625 to 7 570 computations (54.5% saved)

prune40.0ms (0.9%)

Memory
3.0MiB live, 103.4MiB allocated; 12ms collecting garbage
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1 60981 617
Fresh022
Picked325
Done000
Total1 612121 624
Accuracy
99.9%
Counts
1 624 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.9%
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
47.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
48.6%
(+.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))
13.2%
#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))
52.1%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 x)))
21.7%
#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))
19.3%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (*.f64 (*.f64 (sqrt.f64 x) x) x)))
54.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))
37.4%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 x) x)))
54.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
24.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) x (*.f64 (sqrt.f64 x) #s(literal 1/8 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
54.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
Compiler

Compiled 386 to 358 computations (7.3% saved)

series46.0ms (1.1%)

Memory
10.7MiB live, 55.7MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02591679
Stop Event
iter-limit
Counts
28 → 74
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))
(sqrt.f64 x)
x
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))
#s(literal -1/2 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 x) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 x) x))
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/8 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
(*.f64 (sqrt.f64 x) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (*.f64 (*.f64 (sqrt.f64 x) x) x)))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (*.f64 (*.f64 (sqrt.f64 x) x) x))
(-.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
(*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) 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 (/ (sqrt x) (* x 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (* x 2) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (sqrt x) (sqrt (+ x 1))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (+ (sqrt x) (sqrt (+ x 1))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (+ (sqrt x) (sqrt (+ x 1))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))))
#s(approx (+ (sqrt x) (sqrt (+ x 1))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (/ -1 x) (/.f64 #s(literal -1 binary64) x))
#s(approx (* -1/2 (sqrt x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (neg (+ (* -1/2 x) -1/8)) (* (sqrt x) x)) (/.f64 #s(literal 1/8 binary64) (*.f64 x (sqrt.f64 x))))
#s(approx (/ (neg (+ (* -1/2 x) -1/8)) (* (sqrt x) x)) (/.f64 (fma.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 (neg (+ (* -1/2 x) -1/8)) #s(literal 1/8 binary64))
#s(approx (neg (+ (* -1/2 x) -1/8)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* -1/2 x) -1/8) #s(literal -1/8 binary64))
#s(approx (+ (* -1/2 x) -1/8) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/8 binary64)))
#s(approx (* (sqrt x) x) (*.f64 x (sqrt.f64 x)))
#s(approx (/ (- (* 1/8 x) (* (* (sqrt x) x) (* -1/2 (sqrt x)))) (* (* (sqrt x) x) x)) (/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 x))))
#s(approx (- (* 1/8 x) (* (* (sqrt x) x) (* -1/2 (sqrt x)))) (*.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))))
#s(approx (* 1/8 x) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (* (* (sqrt x) x) (* -1/2 (sqrt x))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))
#s(approx (* (* (sqrt x) x) x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (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) (* x 2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (sqrt x) (sqrt (+ x 1))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (sqrt x) (sqrt (+ x 1))) (*.f64 x (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (+ (sqrt x) (sqrt (+ x 1))) (*.f64 x (-.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (+ (sqrt x) (sqrt (+ x 1))) (*.f64 x (-.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (+ x 1)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (+ x 1)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (+ x 1)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (* -1/2 (sqrt x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (neg (+ (* -1/2 x) -1/8)) (* (sqrt x) 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 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))
#s(approx (neg (+ (* -1/2 x) -1/8)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (neg (+ (* -1/2 x) -1/8)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* -1/2 x) -1/8) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (+ (* -1/2 x) -1/8) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (* (sqrt x) x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* 1/8 x) (* (* (sqrt x) x) (* -1/2 (sqrt x)))) (* (* (sqrt x) x) x)) (fma.f64 #s(literal 1/2 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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (* 1/8 x) (* (* (sqrt x) x) (* -1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (- (* 1/8 x) (* (* (sqrt x) x) (* -1/2 (sqrt x)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
#s(approx (* (* (sqrt x) x) (* -1/2 (sqrt x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (* (* (sqrt x) x) x) (*.f64 (pow.f64 x #s(literal 3 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 (/ (sqrt x) (* x 2)) (*.f64 #s(literal -1/2 binary64) (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 (+ (sqrt x) (sqrt (+ x 1))) (*.f64 #s(literal -2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (sqrt x) (sqrt (+ x 1))) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (+ (sqrt x) (sqrt (+ x 1))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (+ (sqrt x) (sqrt (+ x 1))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (sqrt (+ x 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (+ x 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (+ x 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (* -1/2 (sqrt x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (neg (+ (* -1/2 x) -1/8)) (* (sqrt x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)))
#s(approx (* (sqrt x) x) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* 1/8 x) (* (* (sqrt x) x) (* -1/2 (sqrt x)))) (* (* (sqrt x) x) x)) (-.f64 (*.f64 #s(literal -1/2 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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (* 1/8 x) (* (* (sqrt x) x) (* -1/2 (sqrt x)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (* (sqrt x) x) x) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
Calls

3 calls:

TimeVariablePointExpression
25.0ms
x
@-inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (sqrt x) (* x 2)) (sqrt x) x (* x 2) 2 (+ (sqrt x) (sqrt (+ x 1))) (sqrt (+ x 1)) 1 (- (sqrt (+ x 1)) (sqrt x)) (* (/ -1 x) (* -1/2 (sqrt x))) (/ -1 x) -1 (* -1/2 (sqrt x)) -1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ (neg (+ (* -1/2 x) -1/8)) (* (sqrt x) x)) (neg (+ (* -1/2 x) -1/8)) (+ (* -1/2 x) -1/8) -1/8 (* (sqrt x) x) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/8 x) (* (* (sqrt x) x) (* -1/2 (sqrt x)))) (* (* (sqrt x) x) x)) (- (* 1/8 x) (* (* (sqrt x) x) (* -1/2 (sqrt x)))) (* 1/8 x) 1/8 (* (* (sqrt x) x) (* -1/2 (sqrt x))) (* (* (sqrt x) x) x))
7.0ms
x
@0
((- (sqrt (+ x 1)) (sqrt x)) (/ (sqrt x) (* x 2)) (sqrt x) x (* x 2) 2 (+ (sqrt x) (sqrt (+ x 1))) (sqrt (+ x 1)) 1 (- (sqrt (+ x 1)) (sqrt x)) (* (/ -1 x) (* -1/2 (sqrt x))) (/ -1 x) -1 (* -1/2 (sqrt x)) -1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ (neg (+ (* -1/2 x) -1/8)) (* (sqrt x) x)) (neg (+ (* -1/2 x) -1/8)) (+ (* -1/2 x) -1/8) -1/8 (* (sqrt x) x) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/8 x) (* (* (sqrt x) x) (* -1/2 (sqrt x)))) (* (* (sqrt x) x) x)) (- (* 1/8 x) (* (* (sqrt x) x) (* -1/2 (sqrt x)))) (* 1/8 x) 1/8 (* (* (sqrt x) x) (* -1/2 (sqrt x))) (* (* (sqrt x) x) x))
4.0ms
x
@inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (sqrt x) (* x 2)) (sqrt x) x (* x 2) 2 (+ (sqrt x) (sqrt (+ x 1))) (sqrt (+ x 1)) 1 (- (sqrt (+ x 1)) (sqrt x)) (* (/ -1 x) (* -1/2 (sqrt x))) (/ -1 x) -1 (* -1/2 (sqrt x)) -1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ (neg (+ (* -1/2 x) -1/8)) (* (sqrt x) x)) (neg (+ (* -1/2 x) -1/8)) (+ (* -1/2 x) -1/8) -1/8 (* (sqrt x) x) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/8 x) (* (* (sqrt x) x) (* -1/2 (sqrt x)))) (* (* (sqrt x) x) x)) (- (* 1/8 x) (* (* (sqrt x) x) (* -1/2 (sqrt x)))) (* 1/8 x) 1/8 (* (* (sqrt x) x) (* -1/2 (sqrt x))) (* (* (sqrt x) x) x))

rewrite426.0ms (9.7%)

Memory
29.2MiB live, 505.3MiB allocated; 79ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032198
049174
1209166
2808148
34188148
08682146
122144146
Stop Event
saturated
node-limit
iter-limit
Counts
28 → 2 384
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))
(sqrt.f64 x)
x
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))
#s(literal -1/2 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 x) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 x) x))
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/8 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
(*.f64 (sqrt.f64 x) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (*.f64 (*.f64 (sqrt.f64 x) x) x)))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (*.f64 (*.f64 (sqrt.f64 x) x) x))
(-.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
(*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) x) x)
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
(*.f64 (*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(*.f64 (copysign.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (neg.f64 x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) x) (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) x))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x)) x)
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) x))
(*.f64 (/.f64 (*.f64 (sqrt.f64 x) x) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) (*.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 x) x))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) x) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (neg.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 (sqrt.f64 x) x) (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (neg.f64 (sqrt.f64 x)))
(*.f64 (copysign.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) x)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)) (/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) x) x)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) (*.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (copysign.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (copysign.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) x))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) x)))
(*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) x) x)))
(*.f64 (*.f64 (sqrt.f64 x) x) (neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) x) x)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) x)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 x) (*.f64 (sqrt.f64 x) x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (*.f64 x x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) (*.f64 (*.f64 (sqrt.f64 x) x) x)))
(*.f64 (sqrt.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) x)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
(*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 x (neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) x)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x)))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)) (*.f64 (neg.f64 x) (sqrt.f64 x)))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) (+.f64 x x))
(/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) (sqrt.f64 x))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(/.f64 (/.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (sqrt.f64 x) #s(literal -2 binary64)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 x)) x) #s(literal -2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 x) x))
(/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(/.f64 (/.f64 (sqrt.f64 x) x) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 x) x))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) x))
(/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (neg.f64 x) (sqrt.f64 x)))
(/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (neg.f64 x))
(/.f64 (sqrt.f64 x) (+.f64 x x))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(fma.f64 (*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 0 binary64)) (neg.f64 x)))
(fma.f64 (*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (neg.f64 x)))
(fma.f64 (*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 0 binary64)) (+.f64 x x)))
(fma.f64 (*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) (+.f64 x x)))
(fma.f64 (copysign.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))
(fma.f64 (copysign.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 0 binary64)) (neg.f64 x)))
(fma.f64 (copysign.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (neg.f64 x)))
(fma.f64 (copysign.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 0 binary64)) (+.f64 x x)))
(fma.f64 (copysign.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) (+.f64 x x)))
(fma.f64 (/.f64 (neg.f64 x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))
(fma.f64 (/.f64 (neg.f64 x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 0 binary64)) (neg.f64 x)))
(fma.f64 (/.f64 (neg.f64 x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (neg.f64 x)))
(fma.f64 (/.f64 (neg.f64 x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 0 binary64)) (+.f64 x x)))
(fma.f64 (/.f64 (neg.f64 x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) (+.f64 x x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 0 binary64)) (neg.f64 x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (neg.f64 x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 0 binary64)) (+.f64 x x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) (+.f64 x x)))
(fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))
(fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 0 binary64)) (neg.f64 x)))
(fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (neg.f64 x)))
(fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 0 binary64)) (+.f64 x x)))
(fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) (+.f64 x x)))
(fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))
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(+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(+.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/8 binary64))) (*.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/8 binary64))) #s(literal 0 binary64)))
(+.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/8 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/8 binary64)))))
(+.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 x x)) (sqrt.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 (sqrt.f64 x) x)) x)
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x)) x) (*.f64 (sqrt.f64 x) x))
(*.f64 (/.f64 #s(literal 1/8 binary64) x) (*.f64 x x))
(*.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) x))
(*.f64 (/.f64 (sqrt.f64 x) x) (*.f64 (/.f64 #s(literal 1/8 binary64) x) (*.f64 (*.f64 (sqrt.f64 x) x) x)))
(*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 (*.f64 (sqrt.f64 x) x) x))
(*.f64 (neg.f64 x) #s(literal -1/8 binary64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal -1/8 binary64) (neg.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 (*.f64 (sqrt.f64 x) x) x)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 x (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) x)) (*.f64 (*.f64 (sqrt.f64 x) x) x)))
(*.f64 x #s(literal 1/8 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) x) x))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) x))) (*.f64 (neg.f64 x) (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) x) x))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) x) (*.f64 (sqrt.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 x)))
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) x) x)) (*.f64 x x))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) x)) (*.f64 (sqrt.f64 x) x))
(/.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) x) x)) x)
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 (*.f64 (sqrt.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 x)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) x) (*.f64 (sqrt.f64 x) x)) (*.f64 (*.f64 (sqrt.f64 x) x) x))
(neg.f64 (*.f64 #s(literal -1/8 binary64) x))
#s(literal 1/8 binary64)
(*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)) (sqrt.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) (neg.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 x) (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
(*.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) x)
(*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)))
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 x (*.f64 #s(literal -1/2 binary64) x))
(neg.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) (sqrt.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) x) x)
(*.f64 (sqrt.f64 x) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) x))
(*.f64 x (*.f64 (sqrt.f64 x) x))
(pow.f64 (*.f64 x x) #s(literal 5/4 binary64))
(pow.f64 x #s(literal 5/2 binary64))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 x)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)))
(fabs.f64 (*.f64 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 x x)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 x)))
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 x) x) x))

eval334.0ms (7.6%)

Memory
-36.9MiB live, 396.1MiB allocated; 72ms collecting garbage
Compiler

Compiled 19 495 to 5 639 computations (71.1% saved)

prune40.0ms (0.9%)

Memory
28.4MiB live, 120.9MiB allocated; 5ms collecting garbage
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1 89221 894
Fresh145
Picked415
Done022
Total1 89791 906
Accuracy
100.0%
Counts
1 906 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.9%
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
47.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
48.6%
(+.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))
13.2%
#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))
52.1%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 x)))
21.7%
#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))
54.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (sqrt.f64 x) (+.f64 x x)))
54.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
54.6%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (sqrt x) (* x 2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 280 to 258 computations (7.9% saved)

series58.0ms (1.3%)

Memory
10.6MiB live, 57.6MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01891420
Stop Event
iter-limit
Counts
40 → 58
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (sqrt x) (* x 2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (sqrt x) (* x 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)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (sqrt.f64 x) (+.f64 x x)))
(/.f64 (sqrt.f64 x) (+.f64 x x))
(+.f64 x x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.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)
#s(literal -1/2 binary64)
#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))
(/.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)
(-.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)))))
(+.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 1/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))
#s(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)))
(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 #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 (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 (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 (/ (sqrt x) (* x 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)))
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (/ 1/2 (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (/ (- (/ -1/8 x) -1/2) (sqrt x)) (/.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 x))))
#s(approx (/ (- (/ -1/8 x) -1/2) (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 (- (/ -1/8 x) -1/2) (/.f64 #s(literal -1/8 binary64) x))
#s(approx (- (/ -1/8 x) -1/2) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x))
#s(approx (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) 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)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
#s(approx (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (*.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)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))))
#s(approx (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (*.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 (/ 1/16 (* (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 (* (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 (* 1/2 (/ 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 (* (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 (- (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) (* x 2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (/ 1 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (/ -1/8 x) -1/2) (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 (- (/ -1/8 x) -1/2) #s(literal 1/2 binary64))
#s(approx (- (/ -1/8 x) -1/2) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (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 (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (-.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 (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (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 (/ 1/16 (* (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 (* (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 (sqrt (/ 1 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ 1/8 (* (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 (* (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) (* x 2)) (*.f64 #s(literal -1/2 binary64) (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 x) -1/2) (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 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (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 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) 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)))
Calls

3 calls:

TimeVariablePointExpression
37.0ms
x
@inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (sqrt x) (* x 2)) (* 1/2 (sqrt (/ 1 x))) 1/2 (sqrt (/ 1 x)) (/ 1 x) 1 x (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (/ (sqrt x) (+ x x)) (+ x x) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (/ -1/8 x) -1/2) (sqrt x)) (- (/ -1/8 x) -1/2) (/ -1/8 x) -1/8 -1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x) (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)) (pow x 4) 4 (pow (sqrt (/ 1 x)) 5) 5 (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/ 1 (sqrt (/ 1 x))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) 1/8 (* (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)) (/ (sqrt x) (* x 2)) (* 1/2 (sqrt (/ 1 x))) 1/2 (sqrt (/ 1 x)) (/ 1 x) 1 x (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (/ (sqrt x) (+ x x)) (+ x x) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (/ -1/8 x) -1/2) (sqrt x)) (- (/ -1/8 x) -1/2) (/ -1/8 x) -1/8 -1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x) (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)) (pow x 4) 4 (pow (sqrt (/ 1 x)) 5) 5 (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/ 1 (sqrt (/ 1 x))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) 1/8 (* (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)) (/ (sqrt x) (* x 2)) (* 1/2 (sqrt (/ 1 x))) 1/2 (sqrt (/ 1 x)) (/ 1 x) 1 x (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (/ (sqrt x) (+ x x)) (+ x x) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (/ -1/8 x) -1/2) (sqrt x)) (- (/ -1/8 x) -1/2) (/ -1/8 x) -1/8 -1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x) (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)) (pow x 4) 4 (pow (sqrt (/ 1 x)) 5) 5 (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/ 1 (sqrt (/ 1 x))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)) (pow x 2) 2 (pow (sqrt (/ 1 x)) 3) 3)

rewrite359.0ms (8.2%)

Memory
1.4MiB live, 626.4MiB allocated; 120ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046342
070315
1306314
21141295
08107291
122492291
Stop Event
saturated
node-limit
iter-limit
Counts
40 → 1 570
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (sqrt x) (* x 2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (sqrt x) (* x 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)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (sqrt.f64 x) (+.f64 x x)))
(/.f64 (sqrt.f64 x) (+.f64 x x))
(+.f64 x x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.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)
#s(literal -1/2 binary64)
#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))
(/.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)
(-.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)))))
(+.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 1/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))
#s(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)))
(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 #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 (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 (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)) #s(approx (/ (sqrt x) (* x 2)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (/ (sqrt x) (* x 2)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
#s(literal 1/2 binary64)
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fabs.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 x x))
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 x))))
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 x))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x))
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(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 x))))
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(*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(*.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
(*.f64 (/.f64 #s(literal -1/8 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64)) (*.f64 x (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) 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 (/.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 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) 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)) x)))
(/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
(/.f64 #s(literal 1/8 binary64) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
(/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
(/.f64 #s(literal -1/8 binary64) (neg.f64 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))
(/.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(neg.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
#s(literal 1/8 binary64)
(*.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)) x) x) x)
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))
(*.f64 x (*.f64 x (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (*.f64 x x))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (neg.f64 x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(fabs.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
#s(literal 3 binary64)

eval157.0ms (3.6%)

Memory
-7.8MiB live, 265.2MiB allocated; 35ms collecting garbage
Compiler

Compiled 36 655 to 8 096 computations (77.9% saved)

prune35.0ms (0.8%)

Memory
-26.2MiB live, 77.2MiB allocated; 8ms collecting garbage
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New1 65321 655
Fresh011
Picked145
Done033
Total1 654101 664
Accuracy
100.0%
Counts
1 664 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.9%
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
47.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
48.6%
(+.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))
13.2%
#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))
52.1%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 x)))
18.6%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -5/2 binary64))) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))) x))
54.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (sqrt.f64 x) (+.f64 x x)))
54.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
53.3%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) 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)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))))
54.6%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (sqrt x) (* x 2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 431 to 333 computations (22.7% saved)

regimes11.0ms (0.2%)

Memory
21.7MiB live, 21.7MiB allocated; 0ms collecting garbage
Counts
20 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (sqrt.f64 x) (+.f64 x x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (sqrt x) (* x 2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (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 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 x) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) x (*.f64 (sqrt.f64 x) #s(literal 1/8 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (*.f64 (*.f64 (sqrt.f64 x) x) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) 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)))) (*.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)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -5/2 binary64))) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))) 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))
Outputs
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) 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)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))))
Calls

2 calls:

5.0ms
x
4.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
99.7%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
99.7%2x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes10.0ms (0.2%)

Memory
-19.2MiB live, 25.9MiB allocated; 3ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (sqrt.f64 x) (+.f64 x x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (sqrt x) (* x 2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (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 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 x) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) x (*.f64 (sqrt.f64 x) #s(literal 1/8 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (*.f64 (*.f64 (sqrt.f64 x) x) x)))
Outputs
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 x)))
Calls

2 calls:

5.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
4.0ms
x
Results
AccuracySegmentsBranch
99.6%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
99.6%2x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes6.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated; 0ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (sqrt.f64 x) (+.f64 x x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (sqrt x) (* x 2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
Outputs
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (sqrt x) (* x 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
99.5%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
99.5%2x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (sqrt.f64 x) (+.f64 x x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (sqrt x) (* x 2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))
Outputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (sqrt x) (* x 2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
Calls

2 calls:

2.0ms
x
1.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
98.2%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
98.2%2x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (sqrt.f64 x) (+.f64 x x)))
Outputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (sqrt.f64 x) (+.f64 x 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%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
98.1%2x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
Outputs
(-.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) (sqrt.f64 x)))
Calls

2 calls:

1.0ms
x
1.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
98.1%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
98.1%2x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))
Outputs
(+.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))
Calls

2 calls:

1.0ms
x
1.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
48.6%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
48.6%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated; 0ms 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:

1.0ms
x
1.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
47.6%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
47.6%1x
Compiler

Compiled 7 to 7 computations (0% saved)

bsearch10.0ms (0.2%)

Memory
9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
229.00162981781517
16187.337773418076
Samples
3.0ms96×0valid
1.0ms16×1valid
Compiler

Compiled 416 to 388 computations (6.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sqrt: 2.0ms (81.7% of total)
adjust: 0.0ms (0% of total)
ival-sub!: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch12.0ms (0.3%)

Memory
-22.8MiB live, 23.7MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
16187.337773418076
144158.1363613572
Samples
5.0ms80×1valid
1.0ms16×0valid
Compiler

Compiled 124 to 136 computations (-9.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sqrt: 2.0ms (53.2% of total)
adjust: 1.0ms (26.6% of total)
ival-sub!: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch16.0ms (0.4%)

Memory
15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
144158.1363613572
26439187367.721096
Samples
9.0ms144×1valid
Compiler

Compiled 217 to 226 computations (-4.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sqrt: 4.0ms (64.5% of total)
adjust: 2.0ms (32.3% of total)
ival-sub!: 1.0ms (16.1% of total)
ival-add!: 0.0ms (0% of total)

bsearch10.0ms (0.2%)

Memory
9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
0.1161962080922763
229.00162981781517
Samples
4.0ms128×0valid
Compiler

Compiled 210 to 218 computations (-3.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sqrt: 2.0ms (88.2% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch3.0ms (0.1%)

Memory
-44.5MiB live, 1.0MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
3.0ms
0.1161962080922763
229.00162981781517
Compiler

Compiled 154 to 170 computations (-10.4% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.1161962080922763
229.00162981781517
Compiler

Compiled 154 to 170 computations (-10.4% saved)

derivations389.0ms (8.8%)

Memory
8.7MiB live, 200.5MiB allocated; 13ms collecting garbage
Stop Event
fuel
Compiler

Compiled 115 to 85 computations (26.1% saved)

preprocess107.0ms (2.4%)

Memory
-9.6MiB live, 191.0MiB allocated; 80ms collecting garbage
Remove

(abs x)

Compiler

Compiled 491 to 425 computations (13.4% saved)

end0.0ms (0%)

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

Profiling

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