Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3

Time bar (total: 5.9s)

start0.0ms (0.0%)

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

analyze2.0ms (0.0%)

Memory
3.6MiB live, 3.6MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%100.0%0.0%0.0%0.0%0.0%0
0.0%0.0%100.0%0.0%0.0%0.0%0.0%1
0.0%0.0%100.0%0.0%0.0%0.0%0.0%2
0.0%0.0%50.0%0.0%0.0%50.0%0.0%3
50.0%25.0%25.0%0.0%0.0%50.0%0.0%4
75.0%37.5%12.5%0.0%0.0%50.0%0.0%5
87.5%43.7%6.2%0.0%0.0%50.0%0.0%6
93.8%46.9%3.1%0.0%0.0%50.0%0.0%7
96.9%48.4%1.6%0.0%0.0%50.0%0.0%8
98.4%49.2%0.8%0.0%0.0%50.0%0.0%9
99.2%49.6%0.4%0.0%0.0%50.0%0.0%10
99.6%49.8%0.2%0.0%0.0%50.0%0.0%11
99.8%49.9%0.1%0.0%0.0%50.0%0.0%12
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample648.0ms (10.9%)

Memory
32.9MiB live, 824.8MiB allocated; 147ms collecting garbage
Samples
444.0ms8 256×0valid
0.0ms6×0invalid
Precisions
Click to see histograms. Total time spent on operations: 225.0ms
ival-sqrt: 116.0ms (51.5% of total)
ival-mult!: 61.0ms (27.1% of total)
ival-sub!: 34.0ms (15.1% of total)
adjust: 14.0ms (6.2% of total)
Bogosity

preprocess27.0ms (0.5%)

Memory
-19.4MiB live, 26.3MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
14710
215110
3102610
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
Symmetry

(abs x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

series14.0ms (0.2%)

Memory
25.3MiB live, 25.3MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082346
Stop Event
1×iter-limit
Counts
5 → 17
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x x)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
Outputs
#s(approx x x)
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- 1 (* x x)) #s(literal 1 binary64))
#s(approx (- 1 (* x x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (* x x)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (* x x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))))
Calls

3 calls:

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

rewrite341.0ms (5.7%)

Memory
60.2MiB live, 438.0MiB allocated; 171ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0516
0813
14613
216613
398313
0445113
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
5 → 407
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x x)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
Outputs
#s(literal 1 binary64)
x
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 (-.f64 (fabs.f64 x) #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (-.f64 (neg.f64 x) #s(literal -1 binary64))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) (*.f64 (neg.f64 x) x))
(*.f64 (-.f64 (fabs.f64 x) #s(literal -1 binary64)) (neg.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64))))
(*.f64 (-.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (-.f64 (+.f64 (acos.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (-.f64 (+.f64 (acos.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (-.f64 (+.f64 (acos.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 (asin.f64 x)) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (acos.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 (asin.f64 x)) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (asin.f64 (fabs.f64 x)) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (acos.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (asin.f64 (fabs.f64 x)) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (asin.f64 (neg.f64 x)) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (acos.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (asin.f64 (neg.f64 x)) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (asin.f64 x) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (acos.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (asin.f64 x) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (-.f64 (+.f64 (acos.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (-.f64 (+.f64 (acos.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (-.f64 (+.f64 (acos.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 (asin.f64 x)) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (acos.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 (asin.f64 x)) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (asin.f64 (fabs.f64 x)) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (acos.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (asin.f64 (fabs.f64 x)) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (asin.f64 (neg.f64 x)) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (acos.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (asin.f64 (neg.f64 x)) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (asin.f64 x) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (acos.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (asin.f64 x) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (-.f64 (+.f64 (acos.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (-.f64 (+.f64 (acos.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (-.f64 (+.f64 (acos.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 (asin.f64 x)) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (acos.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 (asin.f64 x)) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (asin.f64 (fabs.f64 x)) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (acos.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (asin.f64 (fabs.f64 x)) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (asin.f64 (neg.f64 x)) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (acos.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (asin.f64 (neg.f64 x)) (PI.f64))))) #s(literal 2 binary64))
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(/.f64 (-.f64 (cos.f64 (-.f64 (acos.f64 (fabs.f64 x)) (acos.f64 (neg.f64 x)))) (cos.f64 (+.f64 (acos.f64 (fabs.f64 x)) (acos.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (acos.f64 (fabs.f64 x)) (acos.f64 x))) (cos.f64 (+.f64 (acos.f64 (fabs.f64 x)) (acos.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (acos.f64 (neg.f64 x)) (acos.f64 (fabs.f64 x)))) (cos.f64 (+.f64 (acos.f64 (neg.f64 x)) (acos.f64 (fabs.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (acos.f64 (neg.f64 x)) (acos.f64 (neg.f64 x)))) (cos.f64 (+.f64 (acos.f64 (neg.f64 x)) (acos.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (acos.f64 (neg.f64 x)) (acos.f64 x))) (cos.f64 (+.f64 (acos.f64 (neg.f64 x)) (acos.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (acos.f64 x) (acos.f64 (fabs.f64 x)))) (cos.f64 (+.f64 (acos.f64 x) (acos.f64 (fabs.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (acos.f64 x) (acos.f64 (neg.f64 x)))) (cos.f64 (+.f64 (acos.f64 x) (acos.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (acos.f64 x) (acos.f64 x))) (cos.f64 (+.f64 (acos.f64 x) (acos.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (acos.f64 (fabs.f64 x)) (fabs.f64 (asin.f64 x)))) (sin.f64 (+.f64 (acos.f64 (fabs.f64 x)) (fabs.f64 (asin.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (acos.f64 (fabs.f64 x)) (asin.f64 (fabs.f64 x)))) (sin.f64 (+.f64 (acos.f64 (fabs.f64 x)) (asin.f64 (fabs.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (acos.f64 (fabs.f64 x)) (asin.f64 (neg.f64 x)))) (sin.f64 (+.f64 (acos.f64 (fabs.f64 x)) (asin.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (acos.f64 (fabs.f64 x)) (asin.f64 x))) (sin.f64 (+.f64 (acos.f64 (fabs.f64 x)) (asin.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (acos.f64 (neg.f64 x)) (fabs.f64 (asin.f64 x)))) (sin.f64 (+.f64 (acos.f64 (neg.f64 x)) (fabs.f64 (asin.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (acos.f64 (neg.f64 x)) (asin.f64 (fabs.f64 x)))) (sin.f64 (+.f64 (acos.f64 (neg.f64 x)) (asin.f64 (fabs.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (acos.f64 (neg.f64 x)) (asin.f64 (neg.f64 x)))) (sin.f64 (+.f64 (acos.f64 (neg.f64 x)) (asin.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (acos.f64 (neg.f64 x)) (asin.f64 x))) (sin.f64 (+.f64 (acos.f64 (neg.f64 x)) (asin.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (acos.f64 x) (fabs.f64 (asin.f64 x)))) (sin.f64 (+.f64 (acos.f64 x) (fabs.f64 (asin.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (acos.f64 x) (asin.f64 (fabs.f64 x)))) (sin.f64 (+.f64 (acos.f64 x) (asin.f64 (fabs.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (acos.f64 x) (asin.f64 (neg.f64 x)))) (sin.f64 (+.f64 (acos.f64 x) (asin.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (acos.f64 x) (asin.f64 x))) (sin.f64 (+.f64 (acos.f64 x) (asin.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))))
(134-z0z1z2z3z4 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 (asin.f64 x)))
(neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(-.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (fabs.f64 x))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (neg.f64 x))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (acos.f64 x)))))
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (fabs.f64 (asin.f64 x))) (sin.f64 (fabs.f64 (asin.f64 x)))))
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (asin.f64 (fabs.f64 x))) (sin.f64 (asin.f64 (fabs.f64 x)))))
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (asin.f64 (neg.f64 x))) (sin.f64 (asin.f64 (neg.f64 x)))))
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (asin.f64 x)) (sin.f64 (asin.f64 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) (*.f64 x x))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(fabs.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 (asin.f64 x))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (fabs.f64 x))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (neg.f64 x))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (asin.f64 x)))))
(+.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(sin.f64 (acos.f64 (sin.f64 (fabs.f64 (asin.f64 x)))))
(sin.f64 (acos.f64 (sin.f64 (asin.f64 (fabs.f64 x)))))
(sin.f64 (acos.f64 (sin.f64 (asin.f64 (neg.f64 x)))))
(sin.f64 (acos.f64 (sin.f64 (asin.f64 x))))
(sin.f64 (acos.f64 (neg.f64 (neg.f64 (fabs.f64 x)))))
(sin.f64 (+.f64 (fabs.f64 (asin.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (asin.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (asin.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (acos.f64 (neg.f64 (fabs.f64 x))))
(sin.f64 (acos.f64 (fabs.f64 x)))
(sin.f64 (acos.f64 (neg.f64 x)))
(sin.f64 (acos.f64 x))
(-.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 (asin.f64 x))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(cos.f64 (asin.f64 (sin.f64 (fabs.f64 (asin.f64 x)))))
(cos.f64 (asin.f64 (sin.f64 (asin.f64 (fabs.f64 x)))))
(cos.f64 (asin.f64 (sin.f64 (asin.f64 (neg.f64 x)))))
(cos.f64 (asin.f64 (sin.f64 (asin.f64 x))))
(cos.f64 (asin.f64 (neg.f64 (neg.f64 (fabs.f64 x)))))
(cos.f64 (neg.f64 (fabs.f64 (asin.f64 x))))
(cos.f64 (asin.f64 (neg.f64 (fabs.f64 x))))
(cos.f64 (fabs.f64 (fabs.f64 (asin.f64 x))))
(cos.f64 (fabs.f64 (asin.f64 (fabs.f64 x))))
(cos.f64 (asin.f64 (neg.f64 x)))
(cos.f64 (fabs.f64 (asin.f64 x)))
(cos.f64 (asin.f64 (fabs.f64 x)))
(cos.f64 (asin.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (+.f64 (sin.f64 (-.f64 (asin.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 2 binary64)))
(+.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)) (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)))

eval83.0ms (1.4%)

Memory
1.7MiB live, 143.5MiB allocated; 31ms collecting garbage
Samples
15.0ms256×0valid
Compiler

Compiled 9 068 to 2 530 computations (72.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult!: 4.0ms (80.9% of total)
ival-sub!: 1.0ms (20.2% of total)
adjust: 1.0ms (20.2% of total)

prune6.0ms (0.1%)

Memory
17.2MiB live, 17.2MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New4182420
Fresh000
Picked101
Done-110
Total4183421
Accuracy
100.0%
Counts
421 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
▶100.0%
(sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64)))))
▶99.0%
(sqrt.f64 #s(approx (- 1 (* x x)) #s(literal 1 binary64)))
Compiler

Compiled 23 to 20 computations (13.0% saved)

series13.0ms (0.2%)

Memory
-30.9MiB live, 15.0MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106437
Stop Event
1×iter-limit
Counts
10 → 26
Calls
Call 1
Inputs
x
#s(literal 1 binary64)
#s(approx (- 1 (* x x)) #s(literal 1 binary64))
(sqrt.f64 #s(approx (- 1 (* x x)) #s(literal 1 binary64)))
#s(literal -1 binary64)
(-.f64 x #s(literal -1 binary64))
(-.f64 x #s(literal 1 binary64))
(neg.f64 (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64)))))
Outputs
#s(approx x x)
#s(approx (- 1 (* x x)) #s(literal 1 binary64))
#s(approx (- 1 (* x x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x))
#s(approx (- x 1) #s(literal -1 binary64))
#s(approx (- x 1) (-.f64 x #s(literal 1 binary64)))
#s(approx (neg (- x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (- 1 (* x x)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (* x x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (- x -1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- x 1) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (neg (- x 1)) (*.f64 #s(literal -1 binary64) x))
#s(approx (neg (- x 1)) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))))
#s(approx (- x 1) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
#s(approx (neg (- x 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
Calls

3 calls:

TimeVariablePoint
5.0ms
x
inf
1.0ms
x
-inf
1.0ms
x
0

rewrite167.0ms (2.8%)

Memory
34.5MiB live, 266.9MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01245
01842
19538
227535
389535
0404135
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
10 → 699
Calls
Call 1
Inputs
x
#s(literal 1 binary64)
#s(approx (- 1 (* x x)) #s(literal 1 binary64))
(sqrt.f64 #s(approx (- 1 (* x x)) #s(literal 1 binary64)))
#s(literal -1 binary64)
(-.f64 x #s(literal -1 binary64))
(-.f64 x #s(literal 1 binary64))
(neg.f64 (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64)))))
Outputs
x
#s(literal 1 binary64)
(*.f64 (pow.f64 (*.f64 #s(approx (- 1 (* x x)) #s(literal 1 binary64)) #s(approx (- 1 (* x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(approx (- 1 (* x x)) #s(literal 1 binary64)) #s(approx (- 1 (* x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
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(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(cos.f64 (neg.f64 (asin.f64 (neg.f64 (fabs.f64 x)))))
(cos.f64 (fabs.f64 (asin.f64 (neg.f64 (fabs.f64 x)))))
(cos.f64 (fabs.f64 (asin.f64 (fabs.f64 x))))
(cos.f64 (fabs.f64 (asin.f64 (neg.f64 x))))
(cos.f64 (fabs.f64 (asin.f64 x)))
(cos.f64 (asin.f64 (neg.f64 (neg.f64 (fabs.f64 x)))))
(cos.f64 (asin.f64 (neg.f64 (fabs.f64 x))))
(cos.f64 (asin.f64 (fabs.f64 x)))
(cos.f64 (asin.f64 (neg.f64 x)))
(cos.f64 (asin.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))

eval1.9s (31.1%)

Memory
14.7MiB live, 2 529.3MiB allocated; 850ms collecting garbage
Samples
1.4s21 504×0valid
Compiler

Compiled 11 798 to 2 759 computations (76.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 410.0ms
ival-mult!: 304.0ms (74.1% of total)
ival-sub!: 59.0ms (14.4% of total)
adjust: 48.0ms (11.7% of total)

prune9.0ms (0.2%)

Memory
22.4MiB live, 22.4MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New7151716
Fresh000
Picked202
Done-121
Total7163719
Accuracy
100.0%
Counts
719 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
▶100.0%
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))
✓99.0%
(sqrt.f64 #s(approx (- 1 (* x x)) #s(literal 1 binary64)))
Compiler

Compiled 22 to 19 computations (13.6% saved)

series19.0ms (0.3%)

Memory
-58.9MiB live, 12.7MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100434
Stop Event
1×iter-limit
Counts
7 → 23
Calls
Call 1
Inputs
x
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))
Outputs
#s(approx x x)
#s(approx (- x 1) #s(literal -1 binary64))
#s(approx (- x 1) (-.f64 x #s(literal 1 binary64)))
#s(approx (- -1 x) (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
#s(approx (* (- x 1) (- -1 x)) #s(literal 1 binary64))
#s(approx (* (- x 1) (- -1 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (* (- x 1) (- -1 x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (* (- x 1) (- -1 x))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (sqrt (* (- x 1) (- -1 x))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- x 1) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- -1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- -1 x) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* (- x 1) (- -1 x)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (- x 1) (- -1 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (sqrt (* (- x 1) (- -1 x))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (* (- x 1) (- -1 x))) (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (sqrt (* (- x 1) (- -1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
#s(approx (sqrt (* (- x 1) (- -1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (- x 1) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
#s(approx (sqrt (* (- x 1) (- -1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (* (- x 1) (- -1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (* (- x 1) (- -1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (sqrt (* (- x 1) (- -1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))))
Calls

3 calls:

TimeVariablePoint
1.0ms
x
inf
1.0ms
x
-inf
0.0ms
x
0

rewrite155.0ms (2.6%)

Memory
-0.4MiB live, 234.5MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0724
01124
15824
215420
352717
4291317
0408617
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
7 → 522
Calls
Call 1
Inputs
x
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))
Outputs
x
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (+.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 (-.f64 x #s(literal 0 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (neg.f64 x))
(-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 x #s(literal 1 binary64))
(+.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 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 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) (-.f64 x #s(literal 1 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 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(+.f64 (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal -1 binary64) (-.f64 x #s(literal 0 binary64)))
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) x)
(+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)))
(+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(+.f64 (-.f64 x #s(literal 1 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 #s(literal 1 binary64) x)))
(+.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (neg.f64 x))) (neg.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 (neg.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64)))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64)))) #s(literal -4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) (neg.f64 x)))))
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(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (pow.f64 (neg.f64 (sqrt.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) (*.f64 x x)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal -1 binary64) x)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1/8 binary64))
(pow.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(sin.f64 (+.f64 (asin.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (acos.f64 (fabs.f64 x)))
(sin.f64 (acos.f64 (neg.f64 x)))
(sin.f64 (acos.f64 x))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(cos.f64 (neg.f64 (asin.f64 x)))
(cos.f64 (fabs.f64 (asin.f64 x)))
(cos.f64 (asin.f64 (fabs.f64 x)))
(cos.f64 (asin.f64 (neg.f64 x)))
(cos.f64 (asin.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))

eval2.6s (43.3%)

Memory
113.9MiB live, 3 453.4MiB allocated; 766ms collecting garbage
Samples
1.9s32 256×0valid
Compiler

Compiled 7 710 to 1 665 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 671.0ms
ival-mult!: 519.0ms (77.3% of total)
ival-sub!: 111.0ms (16.5% of total)
adjust: 42.0ms (6.3% of total)

prune10.0ms (0.2%)

Memory
-25.6MiB live, 20.8MiB allocated; 5ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New5390539
Fresh000
Picked101
Done-132
Total5393542
Accuracy
100.0%
Counts
542 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓100.0%
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))
✓99.0%
(sqrt.f64 #s(approx (- 1 (* x x)) #s(literal 1 binary64)))
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes12.0ms (0.2%)

Memory
31.0MiB live, 31.0MiB allocated; 0ms collecting garbage
Counts
1 → 1
4 → 1
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (- 1 (* x x)) #s(literal 1 binary64)))
Outputs
(sqrt.f64 #s(approx (- 1 (* x x)) #s(literal 1 binary64)))
Call 2
Inputs
(sqrt.f64 #s(approx (- 1 (* x x)) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))
(sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64)))))
Outputs
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
Calls

8 calls:

2.0ms
x
2.0ms
(*.f64 x x)
1.0ms
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms
x
Results
AccuracySegmentsBranch
99.0%1(*.f64 x x)
99.0%1(-.f64 #s(literal 1 binary64) (*.f64 x x))
99.0%1(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
99.0%1x
100.0%1(*.f64 x x)
100.0%1(-.f64 #s(literal 1 binary64) (*.f64 x x))
100.0%1(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
100.0%1x
Compiler

Compiled 61 to 43 computations (29.5% saved)

derivations1.0ms (0.0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Stop Event
1×done
Compiler

Compiled 14 to 10 computations (28.6% saved)

preprocess12.0ms (0.2%)

Memory
-20.0MiB live, 26.9MiB allocated; 3ms collecting garbage
Compiler

Compiled 48 to 39 computations (18.8% saved)

end0.0ms (0.0%)

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

Profiling

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