Metrics for Falkner and Boettcher, Appendix B, 2

start0.0ms (0%)

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

analyze3.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample972.0ms (28.1%)

Memory

-17.7MiB live, 646.2MiB allocated; 280ms collecting garbage

Samples

582.0ms	8 256×	0	valid
1.0ms	8×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 368.0ms

ival-mult!: 225.0ms (61.1% of total)

ival-sqrt: 83.0ms (22.5% of total)

ival-sub!: 58.0ms (15.7% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

preprocess72.0ms (2.1%)

Memory

26.7MiB live, 26.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	58
1	97	54
2	312	54
3	1245	54

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))

Status

Accuracy

Program

▶

100.0%

(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))

Symmetry

(abs v)

Compiler

Compiled 38 to 28 computations (26.3% saved)

series143.0ms (4.1%)

Memory

-22.0MiB live, 24.4MiB allocated; 20ms collecting garbage

Counts

14 → 44

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
#s(literal 1 binary64)
(.f64 #s(literal 3 binary64) (.f64 v v))
#s(literal 3 binary64)
(*.f64 v v)
v
(-.f64 #s(literal 1 binary64) (*.f64 v v))

Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 3/32 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -9/64 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 3/32 binary64) (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (fma.f64 #s(literal -3/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -9/32 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -27/64 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -9/32 binary64) (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(literal 1 binary64))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (pow.f64 v #s(literal 2 binary64)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -9/8 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3/2 binary64)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 9/8 binary64))) #s(literal 3/2 binary64)))))
#s(approx (- 1 (* 3 (* v v))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))))
#s(approx (* 3 (* v v)) (*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64))))
#s(approx (* v v) (pow.f64 v #s(literal 2 binary64)))
#s(approx v v)
#s(approx (- 1 (* v v)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 2 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (pow.f64 v #s(literal 2 binary64)))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))))) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))))) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (pow.f64 v #s(literal 2 binary64)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal 1/4 binary64) (.f64 v (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 v (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 v (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 v (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (*.f64 v (sqrt.f64 #s(literal -3 binary64))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (.f64 v (+.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (.f64 v (-.f64 (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (.f64 v (-.f64 (+.f64 (sqrt.f64 #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))))))))
#s(approx (- 1 (* 3 (* v v))) (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64))))
#s(approx (- 1 (* 3 (* v v))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64))))
#s(approx (- 1 (* v v)) (*.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 2 binary64))))
#s(approx (- 1 (* v v)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))))) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (pow.f64 v #s(literal 2 binary64)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))))) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (pow.f64 v #s(literal 2 binary64))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal -1/4 binary64) (.f64 v (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal -1 binary64) (.f64 v (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal -1 binary64) (.f64 v (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal -1 binary64) (.f64 v (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (.f64 #s(literal -1 binary64) (.f64 v (sqrt.f64 #s(literal -3 binary64)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (.f64 #s(literal -1 binary64) (.f64 v (+.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (.f64 #s(literal -1 binary64) (.f64 v (-.f64 (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (.f64 #s(literal -1 binary64) (.f64 v (-.f64 (+.f64 (sqrt.f64 #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))))))))

Calls

3 calls:

Time	Variable	Point
4.0ms	v	inf
3.0ms	v	0
2.0ms	v	-inf

rewrite774.0ms (22.4%)

Memory

-84.5MiB live, 75.5MiB allocated; 1.3s collecting garbage

Counts

14 → 120

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
#s(literal 1 binary64)
(.f64 #s(literal 3 binary64) (.f64 v v))
#s(literal 3 binary64)
(*.f64 v v)
v
(-.f64 #s(literal 1 binary64) (*.f64 v v))

Outputs
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(+.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (neg.f64 (*.f64 v v))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (.f64 (neg.f64 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64))))
(/.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) #s(literal -4 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) #s(literal 4 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64))
(fma.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (neg.f64 (.f64 v v))))
(fma.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 (neg.f64 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64))))
(neg.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(neg.f64 (.f64 (fma.f64 v v #s(literal -1 binary64)) (.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))))
(.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 4 binary64)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -4 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal -2 binary64) #s(literal -1/4 binary64))
(+.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 4 binary64))
(/.f64 #s(literal -2 binary64) #s(literal -4 binary64))
(/.f64 (neg.f64 #s(literal -2 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1/4 binary64) #s(literal 1/4 binary64))
(neg.f64 #s(literal -1/2 binary64))
(neg.f64 (/.f64 #s(literal -2 binary64) #s(literal 4 binary64)))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64))) (cosh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64)))))
(fabs.f64 #s(literal 2 binary64))
(fabs.f64 #s(literal -2 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 #s(literal 4 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64))) (cosh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64)))))
(fabs.f64 #s(literal 2 binary64))
(fabs.f64 #s(literal -2 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(neg.f64 #s(literal -4 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))))
(pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
(sqrt.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))))
(+.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
(-.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 v v) #s(literal -3 binary64))))
(fma.f64 (*.f64 v #s(literal 3 binary64)) (neg.f64 v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 v v)) #s(literal 3 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -3 binary64) (fabs.f64 v)) (fabs.f64 v) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -3 binary64) (neg.f64 v)) (neg.f64 v) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 v #s(literal 3 binary64))) v #s(literal 1 binary64))
(fma.f64 #s(literal 3 binary64) (neg.f64 (*.f64 v v)) #s(literal 1 binary64))
(neg.f64 (fma.f64 (*.f64 v #s(literal 3 binary64)) v #s(literal -1 binary64)))
#s(literal 1 binary64)
(fabs.f64 #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(.f64 #s(literal 3 binary64) (.f64 v v))
(.f64 (.f64 v #s(literal 3 binary64)) v)
(.f64 (.f64 v v) #s(literal 3 binary64))
(.f64 v (.f64 v #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (fabs.f64 v)) (fabs.f64 v))
(.f64 (.f64 #s(literal 3 binary64) (neg.f64 v)) (neg.f64 v))
(.f64 (fabs.f64 v) (.f64 (fabs.f64 v) #s(literal 3 binary64)))
(.f64 (neg.f64 v) (.f64 (neg.f64 v) #s(literal 3 binary64)))
#s(literal 3 binary64)
(neg.f64 #s(literal -3 binary64))
(*.f64 v v)
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)))
(*.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)))
(*.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)))
(fabs.f64 (*.f64 v v))
(neg.f64 (neg.f64 (*.f64 v v)))
(pow.f64 v #s(literal 2 binary64))
(pow.f64 (neg.f64 v) #s(literal 2 binary64))
(pow.f64 (fabs.f64 v) #s(literal 2 binary64))
v
(+.f64 (neg.f64 (*.f64 v v)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 v v)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 v)) v))
(fma.f64 (neg.f64 v) v #s(literal 1 binary64))
(fma.f64 v (neg.f64 v) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 v)) (fabs.f64 v) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 v)) (neg.f64 v) #s(literal 1 binary64))
(fma.f64 (fabs.f64 v) (neg.f64 (fabs.f64 v)) #s(literal 1 binary64))
(fma.f64 (neg.f64 v) (neg.f64 (neg.f64 v)) #s(literal 1 binary64))
(neg.f64 (fma.f64 v v #s(literal -1 binary64)))

eval29.0ms (0.8%)

Memory: -58.1MiB live, 32.4MiB allocated; 19ms collecting garbage
Compiler: Compiled 3 800 to 666 computations (82.5% saved)

prune6.0ms (0.2%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	139	5	144
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	140	5	145

Accuracy

100.0%

Counts

145 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	57.7%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #s(approx (- 1 (* v v)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)))))
▶	98.7%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶	99.3%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
▶	98.7%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 252 to 186 computations (26.2% saved)

series163.0ms (4.7%)

Memory

6.2MiB live, 99.6MiB allocated; 38ms collecting garbage

Counts

34 → 51

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(*.f64 v v)
v
#s(literal -3 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 ( 3 (* v v)))) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(literal 1 binary64))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(literal -5/8 binary64)
(*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 v #s(literal 2 binary64))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #s(approx (- 1 (* v v)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
(.f64 #s(literal 3 binary64) (.f64 v v))
#s(literal 3 binary64)
#s(approx (- 1 (* v v)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))

Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (+ (* (* v v) -3) 1))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (+ (* (* v v) -3) 1))) (- 1 (* v v))) (fma.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (+ (* (* v v) -3) 1))) (- 1 (* v v))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 3/32 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (+ (* (* v v) -3) 1))) (- 1 (* v v))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -9/64 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 3/32 binary64) (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (+ (* (* v v) -3) 1))) (fma.f64 #s(literal -3/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (+ (* (* v v) -3) 1))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -9/32 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (+ (* (* v v) -3) 1))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -27/64 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -9/32 binary64) (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* (* v v) -3) 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (pow.f64 v #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -9/8 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3/2 binary64)))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 9/8 binary64))) #s(literal 3/2 binary64)))))
#s(approx (+ (* (* v v) -3) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))))
#s(approx (* v v) (pow.f64 v #s(literal 2 binary64)))
#s(approx v v)
#s(approx (- 1 (* v v)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 2 binary64)))))
#s(approx (* (pow v 2) (sqrt 2)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* 3 (* v v)) (*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64))))
#s(approx (- (/ 1 (pow v 2)) 1) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
#s(approx (- (/ 1 (pow v 2)) 1) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 v #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (+ (* (* v v) -3) 1))) (- 1 (* v v))) (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (+ (* (* v v) -3) 1))) (- 1 (* v v))) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (pow.f64 v #s(literal 2 binary64)))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (+ (* (* v v) -3) 1))) (- 1 (* v v))) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))))) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (+ (* (* v v) -3) 1))) (- 1 (* v v))) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))))) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (pow.f64 v #s(literal 2 binary64)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (+ (* (* v v) -3) 1))) (.f64 #s(literal 1/4 binary64) (.f64 v (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (+ (* (* v v) -3) 1))) (.f64 v (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (+ (* (* v v) -3) 1))) (.f64 v (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (+ (* (* v v) -3) 1))) (.f64 v (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) (*.f64 v (sqrt.f64 #s(literal -3 binary64))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) (.f64 v (+.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) (.f64 v (-.f64 (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) (.f64 v (-.f64 (+.f64 (sqrt.f64 #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))))))))
#s(approx (+ (* (* v v) -3) 1) (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64))))
#s(approx (+ (* (* v v) -3) 1) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64))))
#s(approx (- 1 (* v v)) (*.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 2 binary64))))
#s(approx (- 1 (* v v)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64)))))))
#s(approx (- (/ 1 (pow v 2)) 1) #s(literal -1 binary64))
#s(approx (- (/ 1 (pow v 2)) 1) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (+ (* (* v v) -3) 1))) (- 1 (* v v))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (+ (* (* v v) -3) 1))) (- 1 (* v v))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (+ (* (* v v) -3) 1))) (- 1 (* v v))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))))) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (pow.f64 v #s(literal 2 binary64)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (+ (* (* v v) -3) 1))) (- 1 (* v v))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))))) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (pow.f64 v #s(literal 2 binary64))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (+ (* (* v v) -3) 1))) (.f64 #s(literal -1/4 binary64) (.f64 v (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (+ (* (* v v) -3) 1))) (.f64 #s(literal -1 binary64) (.f64 v (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (+ (* (* v v) -3) 1))) (.f64 #s(literal -1 binary64) (.f64 v (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (+ (* (* v v) -3) 1))) (.f64 #s(literal -1 binary64) (.f64 v (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) (.f64 #s(literal -1 binary64) (.f64 v (sqrt.f64 #s(literal -3 binary64)))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) (.f64 #s(literal -1 binary64) (.f64 v (+.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))))))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) (.f64 #s(literal -1 binary64) (.f64 v (-.f64 (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))))))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) (.f64 #s(literal -1 binary64) (.f64 v (-.f64 (+.f64 (sqrt.f64 #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))))))))

Calls

3 calls:

Time	Variable	Point
38.0ms	v	-inf
2.0ms	v	inf
2.0ms	v	0

rewrite241.0ms (7%)

Memory

-1.0MiB live, 185.1MiB allocated; 41ms collecting garbage

Counts

34 → 292

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(*.f64 v v)
v
#s(literal -3 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 ( 3 (* v v)))) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(literal 1 binary64))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(literal -5/8 binary64)
(*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 v #s(literal 2 binary64))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #s(approx (- 1 (* v v)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
(.f64 #s(literal 3 binary64) (.f64 v v))
#s(literal 3 binary64)
#s(approx (- 1 (* v v)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))

Outputs
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
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(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
(-.f64 (.f64 (.f64 v #s(literal -3 binary64)) v) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 v) (.f64 v #s(literal -3 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 v #s(literal -3 binary64)) v)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 v v)) #s(literal -3 binary64)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 v #s(literal 3 binary64)) (neg.f64 v) #s(literal 1 binary64))
(fma.f64 (*.f64 v #s(literal -3 binary64)) v #s(literal 1 binary64))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -3 binary64) (neg.f64 v)) (neg.f64 v) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -3 binary64) (fabs.f64 v)) (fabs.f64 v) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 v v)) #s(literal 3 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal -3 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal -3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 3 binary64) (neg.f64 (*.f64 v v)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (.f64 (.f64 v #s(literal -3 binary64)) v))
(neg.f64 (fma.f64 (*.f64 v #s(literal 3 binary64)) v #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 v #s(literal -3 binary64)) v)))
(.f64 #s(literal 3 binary64) (.f64 v v))
(.f64 (.f64 v #s(literal 3 binary64)) v)
(.f64 (.f64 v v) #s(literal 3 binary64))
(.f64 v (.f64 v #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (fabs.f64 v)) (fabs.f64 v))
(.f64 (.f64 #s(literal 3 binary64) (neg.f64 v)) (neg.f64 v))
(.f64 (fabs.f64 v) (.f64 (fabs.f64 v) #s(literal 3 binary64)))
(.f64 (neg.f64 v) (.f64 (neg.f64 v) #s(literal 3 binary64)))
#s(literal 3 binary64)
(neg.f64 #s(literal -3 binary64))
#s(approx (- 1 (* v v)) (.f64 (.f64 v v) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(.f64 (.f64 v v) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64)) (*.f64 v v))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) (neg.f64 v)) (neg.f64 v))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) (fabs.f64 v)) (fabs.f64 v))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) v)
(.f64 (neg.f64 v) (.f64 (neg.f64 v) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(.f64 (fabs.f64 v) (.f64 (fabs.f64 v) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(.f64 v (.f64 v (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 v v)) (.f64 #s(literal -1 binary64) (*.f64 v v)))
(+.f64 (.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (.f64 v v))) (.f64 (*.f64 v v) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 v v) (.f64 #s(literal -1 binary64) (.f64 v v)))
(fma.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 v v) #s(literal -1 binary64)))
(neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 v v))) (*.f64 v v)))
(neg.f64 (.f64 (.f64 v v) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 v v))) #s(literal -1 binary64))
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 v v))))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(/.f64 (/.f64 #s(literal 1 binary64) v) v)
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 v)) (neg.f64 v))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 v)) (fabs.f64 v))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 v v)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 v v))))
(pow.f64 v #s(literal -2 binary64))
(pow.f64 (*.f64 v v) #s(literal -1 binary64))

eval79.0ms (2.3%)

Memory: -27.4MiB live, 70.6MiB allocated; 16ms collecting garbage
Compiler: Compiled 11 147 to 1 445 computations (87% saved)

prune13.0ms (0.4%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	395	4	399
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	397	7	404

Accuracy

100.0%

Counts

404 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	57.5%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #s(approx (- 1 (* v v)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) #s(literal 1 binary64)))))
▶	57.7%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #s(approx (- 1 (* v v)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64)) (*.f64 v v))))
✓	99.3%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
▶	98.8%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
✓	98.7%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
▶	20.0%	#s(approx (* 1/2 (* (sqrt (+ 1 (* -3 (* v v)))) (- 1 (* v v)))) #s(literal 1/2 binary64))

Compiler

Compiled 185 to 133 computations (28.1% saved)

series174.0ms (5%)

Memory

3.8MiB live, 95.4MiB allocated; 38ms collecting garbage

Counts

32 → 65

Calls

Call 1

Inputs
#s(approx (* 1/2 (* (sqrt (+ 1 (* -3 (* v v)))) (- 1 (* v v)))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(literal -5/8 binary64)
(.f64 (.f64 v v) #s(literal 2 binary64))
(*.f64 v v)
v
#s(literal 2 binary64)
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(sqrt.f64 #s(literal 2 binary64))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #s(approx (- 1 (* v v)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64)) (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
#s(literal 4 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
#s(literal 1 binary64)
(.f64 #s(literal 3 binary64) (.f64 v v))
#s(literal 3 binary64)
#s(approx (- 1 (* v v)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64)) (*.f64 v v)))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64)) (*.f64 v v))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #s(approx (- 1 (* v v)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) #s(literal 1 binary64)))))
#s(approx (- 1 (* v v)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) #s(literal 1 binary64))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) #s(literal 1 binary64)))
(pow.f64 v #s(literal 2 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) v) v)
(/.f64 #s(literal 1 binary64) v)

Outputs
#s(approx (* 1/2 (* (sqrt (+ 1 (* -3 (* v v)))) (- 1 (* v v)))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (* (sqrt (+ 1 (* -3 (* v v)))) (- 1 (* v v)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -5/4 binary64) (pow.f64 v #s(literal 2 binary64)))))
#s(approx (* 1/2 (* (sqrt (+ 1 (* -3 (* v v)))) (- 1 (* v v)))) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/16 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 5/4 binary64)))))
#s(approx (* 1/2 (* (sqrt (+ 1 (* -3 (* v v)))) (- 1 (* v v)))) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 3/16 binary64) (*.f64 #s(literal -9/32 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 5/4 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 3/32 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -9/64 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 3/32 binary64) (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (+ (* -5/8 (* (* v v) 2)) (* 1/4 (sqrt 2))) (fma.f64 #s(literal -5/4 binary64) (pow.f64 v #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* v v) 2) (*.f64 #s(literal 2 binary64) (pow.f64 v #s(literal 2 binary64))))
#s(approx (* v v) (pow.f64 v #s(literal 2 binary64)))
#s(approx v v)
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (fma.f64 #s(literal -3/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -9/32 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -27/64 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -9/32 binary64) (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(literal 1 binary64))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (pow.f64 v #s(literal 2 binary64)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -9/8 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3/2 binary64)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 9/8 binary64))) #s(literal 3/2 binary64)))))
#s(approx (- 1 (* 3 (* v v))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))))
#s(approx (* 3 (* v v)) (*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64))))
#s(approx (- 1 (* v v)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 2 binary64)))))
#s(approx (- (/ 1 (* v v)) 1) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
#s(approx (- (/ 1 (* v v)) 1) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 v #s(literal 2 binary64))))
#s(approx (/ 1 v) (/.f64 #s(literal 1 binary64) v))
#s(approx (* 1/2 (* (sqrt (+ 1 (* -3 (* v v)))) (- 1 (* v v)))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -3 binary64)))))
#s(approx (* 1/2 (* (sqrt (+ 1 (* -3 (* v v)))) (- 1 (* v v)))) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))))) (pow.f64 v #s(literal 2 binary64)))))))
#s(approx (* 1/2 (* (sqrt (+ 1 (* -3 (* v v)))) (- 1 (* v v)))) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))))) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))))) (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (* 1/2 (* (sqrt (+ 1 (* -3 (* v v)))) (- 1 (* v v)))) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))))) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))))) (pow.f64 v #s(literal 2 binary64)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (pow.f64 v #s(literal 2 binary64)))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))))) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))))) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (pow.f64 v #s(literal 2 binary64)))))))))
#s(approx (+ (* -5/8 (* (* v v) 2)) (* 1/4 (sqrt 2))) (*.f64 #s(literal -5/4 binary64) (pow.f64 v #s(literal 2 binary64))))
#s(approx (+ (* -5/8 (* (* v v) 2)) (* 1/4 (sqrt 2))) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64)))) #s(literal 5/4 binary64))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal 1/4 binary64) (.f64 v (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 v (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 v (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 v (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (*.f64 v (sqrt.f64 #s(literal -3 binary64))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (.f64 v (+.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (.f64 v (-.f64 (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (.f64 v (-.f64 (+.f64 (sqrt.f64 #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))))))))
#s(approx (- 1 (* 3 (* v v))) (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64))))
#s(approx (- 1 (* 3 (* v v))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64))))
#s(approx (- 1 (* v v)) (*.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 2 binary64))))
#s(approx (- 1 (* v v)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (- (/ 1 (* v v)) 1) #s(literal -1 binary64))
#s(approx (- (/ 1 (* v v)) 1) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (* 1/2 (* (sqrt (+ 1 (* -3 (* v v)))) (- 1 (* v v)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -3 binary64)))))
#s(approx (* 1/2 (* (sqrt (+ 1 (* -3 (* v v)))) (- 1 (* v v)))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))))) (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (* 1/2 (* (sqrt (+ 1 (* -3 (* v v)))) (- 1 (* v v)))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))))) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))))) (pow.f64 v #s(literal 2 binary64)))))))))
#s(approx (* 1/2 (* (sqrt (+ 1 (* -3 (* v v)))) (- 1 (* v v)))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))))) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))))) (pow.f64 v #s(literal 2 binary64))))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))))) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (pow.f64 v #s(literal 2 binary64)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))))) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (pow.f64 v #s(literal 2 binary64))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal -1/4 binary64) (.f64 v (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal -1 binary64) (.f64 v (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal -1 binary64) (.f64 v (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal -1 binary64) (.f64 v (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (.f64 #s(literal -1 binary64) (.f64 v (sqrt.f64 #s(literal -3 binary64)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (.f64 #s(literal -1 binary64) (.f64 v (+.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (.f64 #s(literal -1 binary64) (.f64 v (-.f64 (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (.f64 #s(literal -1 binary64) (.f64 v (-.f64 (+.f64 (sqrt.f64 #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))))))))

Calls

3 calls:

Time	Variable	Point
5.0ms	v	0
4.0ms	v	inf
4.0ms	v	-inf

rewrite242.0ms (7%)

Memory

-9.1MiB live, 177.7MiB allocated; 63ms collecting garbage

Counts

32 → 314

Calls

Call 1

Inputs
#s(approx (* 1/2 (* (sqrt (+ 1 (* -3 (* v v)))) (- 1 (* v v)))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(literal -5/8 binary64)
(.f64 (.f64 v v) #s(literal 2 binary64))
(*.f64 v v)
v
#s(literal 2 binary64)
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(sqrt.f64 #s(literal 2 binary64))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #s(approx (- 1 (* v v)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64)) (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
#s(literal 4 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
#s(literal 1 binary64)
(.f64 #s(literal 3 binary64) (.f64 v v))
#s(literal 3 binary64)
#s(approx (- 1 (* v v)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64)) (*.f64 v v)))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64)) (*.f64 v v))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #s(approx (- 1 (* v v)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) #s(literal 1 binary64)))))
#s(approx (- 1 (* v v)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) #s(literal 1 binary64))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) #s(literal 1 binary64)))
(pow.f64 v #s(literal 2 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) v) v)
(/.f64 #s(literal 1 binary64) v)

Outputs
#s(approx (* 1/2 (* (sqrt (+ 1 (* -3 (* v v)))) (- 1 (* v v)))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal -2 binary64) #s(literal -1/4 binary64))
(+.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 4 binary64))
(/.f64 #s(literal -2 binary64) #s(literal -4 binary64))
(/.f64 (neg.f64 #s(literal -2 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 1/4 binary64) #s(literal 1 binary64) #s(literal 1/4 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1/4 binary64) #s(literal 1/4 binary64))
(neg.f64 #s(literal -1/2 binary64))
#s(approx (* 1/2 (* (sqrt (+ 1 (* -3 (* v v)))) (- 1 (* v v)))) (fma.f64 (*.f64 v v) #s(literal -5/4 binary64) #s(literal 1/2 binary64)))
(.f64 #s(literal 2 binary64) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(.f64 #s(literal 2 binary64) (-.f64 (.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal -1/4 binary64)))
(+.f64 (.f64 (.f64 v v) #s(literal -5/4 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 v v) #s(literal -5/4 binary64)))
(-.f64 (.f64 (.f64 v v) #s(literal -5/4 binary64)) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 (.f64 v v) #s(literal -5/4 binary64))))
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(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 v v) (.f64 #s(literal -1 binary64) (.f64 v v)))
(fma.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 v v) #s(literal -1 binary64)))
(neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 v v))) (*.f64 v v)))
(neg.f64 (.f64 (.f64 v v) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v)))))
(*.f64 v v)
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)))
(*.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)))
(*.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)))
(fabs.f64 (*.f64 v v))
(neg.f64 (neg.f64 (*.f64 v v)))
(pow.f64 v #s(literal 2 binary64))
(pow.f64 (neg.f64 v) #s(literal 2 binary64))
(pow.f64 (fabs.f64 v) #s(literal 2 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal -1 binary64) v) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
(fma.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) v)) (fabs.f64 (/.f64 #s(literal 1 binary64) v)) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 v v))) #s(literal -1 binary64))
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal -1 binary64) v))
(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) v))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 v v)))
(*.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) v)) (fabs.f64 (/.f64 #s(literal 1 binary64) v)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 v v))))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(/.f64 (/.f64 #s(literal 1 binary64) v) v)
(/.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 v))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 v)) (fabs.f64 v))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (neg.f64 v))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 v v)))
(/.f64 (/.f64 #s(literal 1 binary64) v) (neg.f64 (neg.f64 v)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) v) v))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) (neg.f64 v)))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 v v))))
(pow.f64 v #s(literal -2 binary64))
(pow.f64 (*.f64 v v) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) v))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v))
(/.f64 #s(literal 1 binary64) v)
(/.f64 #s(literal -1 binary64) (neg.f64 v))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 v)))
(neg.f64 (/.f64 #s(literal -1 binary64) v))
(pow.f64 v #s(literal -1 binary64))

eval77.0ms (2.2%)

Memory: 1.0MiB live, 51.1MiB allocated; 23ms collecting garbage
Compiler: Compiled 14 429 to 1 610 computations (88.8% saved)

prune8.0ms (0.2%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	398	2	400
Fresh	0	0	0
Picked	2	2	4
Done	0	3	3
Total	400	7	407

Accuracy

100.0%

Counts

407 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	57.7%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) #s(approx (- 1 ( v v)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64)) (*.f64 v v))))
▶	57.5%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #s(approx (- 1 (* v v)) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) #s(literal 1 binary64)) (.f64 v v))))
✓	99.3%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
✓	98.8%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
✓	98.7%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓	20.0%	#s(approx (* 1/2 (* (sqrt (+ 1 (* -3 (* v v)))) (- 1 (* v v)))) #s(literal 1/2 binary64))

Compiler

Compiled 184 to 131 computations (28.8% saved)

series144.0ms (4.2%)

Memory

-6.2MiB live, 85.9MiB allocated; 11ms collecting garbage

Counts

27 → 49

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #s(approx (- 1 (* v v)) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) #s(literal 1 binary64)) (.f64 v v))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
#s(literal 1 binary64)
(.f64 #s(literal 3 binary64) (.f64 v v))
#s(literal 3 binary64)
(*.f64 v v)
v
#s(approx (- 1 (* v v)) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) #s(literal 1 binary64)) (.f64 v v)))
(.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) #s(literal 1 binary64)) (.f64 v v))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) v) v)
(/.f64 #s(literal 1 binary64) v)
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) #s(approx (- 1 ( v v)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64)) (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
#s(literal -3 binary64)
#s(approx (- 1 (* v v)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64)) (*.f64 v v)))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64)) (*.f64 v v))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 v v))

Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 3/32 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -9/64 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 3/32 binary64) (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (fma.f64 #s(literal -3/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -9/32 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -27/64 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -9/32 binary64) (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(literal 1 binary64))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (pow.f64 v #s(literal 2 binary64)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -9/8 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3/2 binary64)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 9/8 binary64))) #s(literal 3/2 binary64)))))
#s(approx (- 1 (* 3 (* v v))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))))
#s(approx (* 3 (* v v)) (*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64))))
#s(approx (* v v) (pow.f64 v #s(literal 2 binary64)))
#s(approx v v)
#s(approx (- 1 (* v v)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 2 binary64)))))
#s(approx (- (/ (/ 1 v) v) 1) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
#s(approx (- (/ (/ 1 v) v) 1) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 v #s(literal 2 binary64))))
#s(approx (/ 1 v) (/.f64 #s(literal 1 binary64) v))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (pow.f64 v #s(literal 2 binary64)))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))))) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))))) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (pow.f64 v #s(literal 2 binary64)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal 1/4 binary64) (.f64 v (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 v (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 v (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 v (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (*.f64 v (sqrt.f64 #s(literal -3 binary64))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (.f64 v (+.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (.f64 v (-.f64 (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (.f64 v (-.f64 (+.f64 (sqrt.f64 #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))))))))
#s(approx (- 1 (* 3 (* v v))) (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64))))
#s(approx (- 1 (* 3 (* v v))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64))))
#s(approx (- 1 (* v v)) (*.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 2 binary64))))
#s(approx (- 1 (* v v)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (- (/ (/ 1 v) v) 1) #s(literal -1 binary64))
#s(approx (- (/ (/ 1 v) v) 1) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))))) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (pow.f64 v #s(literal 2 binary64)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))))) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (pow.f64 v #s(literal 2 binary64))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal -1/4 binary64) (.f64 v (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal -1 binary64) (.f64 v (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal -1 binary64) (.f64 v (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal -1 binary64) (.f64 v (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (.f64 #s(literal -1 binary64) (.f64 v (sqrt.f64 #s(literal -3 binary64)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (.f64 #s(literal -1 binary64) (.f64 v (+.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (.f64 #s(literal -1 binary64) (.f64 v (-.f64 (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (.f64 #s(literal -1 binary64) (.f64 v (-.f64 (+.f64 (sqrt.f64 #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))))))))

Calls

3 calls:

Time	Variable	Point
1.0ms	v	0
1.0ms	v	-inf
1.0ms	v	inf

rewrite228.0ms (6.6%)

Memory

7.2MiB live, 150.1MiB allocated; 103ms collecting garbage

Counts

27 → 261

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #s(approx (- 1 (* v v)) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) #s(literal 1 binary64)) (.f64 v v))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
#s(literal 1 binary64)
(.f64 #s(literal 3 binary64) (.f64 v v))
#s(literal 3 binary64)
(*.f64 v v)
v
#s(approx (- 1 (* v v)) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) #s(literal 1 binary64)) (.f64 v v)))
(.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) #s(literal 1 binary64)) (.f64 v v))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) v) v)
(/.f64 #s(literal 1 binary64) v)
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) #s(approx (- 1 ( v v)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64)) (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
#s(literal -3 binary64)
#s(approx (- 1 (* v v)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64)) (*.f64 v v)))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64)) (*.f64 v v))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 v v))

Outputs
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(approx (- 1 ( v v)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64)) (*.f64 v v))))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))))
(.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 4 binary64)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -4 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal -2 binary64) #s(literal -1/4 binary64))
(+.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 4 binary64))
(/.f64 #s(literal -2 binary64) #s(literal -4 binary64))
(/.f64 (neg.f64 #s(literal -2 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1/4 binary64) #s(literal 1/4 binary64))
(neg.f64 #s(literal -1/2 binary64))
(neg.f64 (/.f64 #s(literal -2 binary64) #s(literal 4 binary64)))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64))) (cosh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64)))))
(fabs.f64 #s(literal 2 binary64))
(fabs.f64 #s(literal -2 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 1 binary64))
(hypot.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(hypot.f64 #s(literal -1 binary64) #s(literal 1 binary64))
(hypot.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(hypot.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 #s(literal 4 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64))) (cosh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64)))))
(fabs.f64 #s(literal 2 binary64))
(fabs.f64 #s(literal -2 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 1 binary64))
(hypot.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(hypot.f64 #s(literal -1 binary64) #s(literal 1 binary64))
(hypot.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(hypot.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(neg.f64 #s(literal -4 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))))
(pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
(sqrt.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))))
(+.f64 (.f64 (.f64 v #s(literal -3 binary64)) v) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 v #s(literal -3 binary64)) v))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
(-.f64 (.f64 (.f64 v #s(literal -3 binary64)) v) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 v) (.f64 v #s(literal -3 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 v #s(literal -3 binary64)) v)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 v v)) #s(literal -3 binary64)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 v #s(literal -3 binary64)) v #s(literal 1 binary64))
(fma.f64 (*.f64 v #s(literal 3 binary64)) (neg.f64 v) #s(literal 1 binary64))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -3 binary64) (neg.f64 v)) (neg.f64 v) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -3 binary64) (fabs.f64 v)) (fabs.f64 v) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 v v)) #s(literal 3 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal -3 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal -3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 3 binary64) (neg.f64 (*.f64 v v)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (.f64 (.f64 v #s(literal -3 binary64)) v))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (.f64 (.f64 v #s(literal -3 binary64)) v))
(neg.f64 (fma.f64 (*.f64 v #s(literal 3 binary64)) v #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 v #s(literal -3 binary64)) v)))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(fabs.f64 #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 0 binary64))
(neg.f64 #s(literal -1 binary64))
(.f64 #s(literal 3 binary64) (.f64 v v))
(.f64 (.f64 v #s(literal 3 binary64)) v)
(.f64 (.f64 v v) #s(literal 3 binary64))
(.f64 v (.f64 v #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (neg.f64 v)) (neg.f64 v))
(.f64 (.f64 #s(literal 3 binary64) (fabs.f64 v)) (fabs.f64 v))
(.f64 (fabs.f64 v) (.f64 (fabs.f64 v) #s(literal 3 binary64)))
(.f64 (neg.f64 v) (.f64 (neg.f64 v) #s(literal 3 binary64)))
#s(literal 3 binary64)
(neg.f64 #s(literal -3 binary64))
(*.f64 v v)
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)))
(*.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)))
(*.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)))
(fabs.f64 (*.f64 v v))
(neg.f64 (neg.f64 (*.f64 v v)))
(pow.f64 v #s(literal 2 binary64))
(pow.f64 (neg.f64 v) #s(literal 2 binary64))
(pow.f64 (fabs.f64 v) #s(literal 2 binary64))
v
#s(approx (- 1 (* v v)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64)) (*.f64 v v)))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64)) (*.f64 v v))
(.f64 (.f64 v v) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) v)
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) (neg.f64 v)) (neg.f64 v))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) (fabs.f64 v)) (fabs.f64 v))
(.f64 v (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) v))
(.f64 (neg.f64 v) (.f64 (neg.f64 v) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(.f64 (fabs.f64 v) (.f64 (fabs.f64 v) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 v v)) (.f64 #s(literal -1 binary64) (*.f64 v v)))
(+.f64 (.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (.f64 v v))) (.f64 (*.f64 v v) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 v v) (.f64 #s(literal -1 binary64) (.f64 v v)))
(fma.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 v v) #s(literal -1 binary64)))
(neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 v v))) (*.f64 v v)))
(neg.f64 (.f64 (.f64 v v) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v)))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal -1 binary64) v) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
(fma.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) v)) (fabs.f64 (/.f64 #s(literal 1 binary64) v)) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 v v))) #s(literal -1 binary64))
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal -1 binary64) v))
(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) v))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 v v)))
(*.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) v)) (fabs.f64 (/.f64 #s(literal 1 binary64) v)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 v v))))
(/.f64 (/.f64 #s(literal 1 binary64) v) v)
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(/.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 v))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 v)) (fabs.f64 v))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (neg.f64 v))
(/.f64 (/.f64 #s(literal 1 binary64) v) (neg.f64 (neg.f64 v)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 v v)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) v) v))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) (neg.f64 v)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 v v))))
(pow.f64 v #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) v))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v))
(/.f64 #s(literal 1 binary64) v)
(/.f64 #s(literal -1 binary64) (neg.f64 v))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 v)))
(neg.f64 (/.f64 #s(literal -1 binary64) v))
(pow.f64 v #s(literal -1 binary64))
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(approx (- 1 ( v v)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64)) (*.f64 v v))))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))))
(.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 4 binary64)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -4 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))))
(pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
(sqrt.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))))
(+.f64 (.f64 (.f64 v #s(literal -3 binary64)) v) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 v #s(literal -3 binary64)) v))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
(-.f64 (.f64 (.f64 v #s(literal -3 binary64)) v) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 v) (.f64 v #s(literal -3 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 v #s(literal -3 binary64)) v)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 v v)) #s(literal -3 binary64)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 v #s(literal -3 binary64)) v #s(literal 1 binary64))
(fma.f64 (*.f64 v #s(literal 3 binary64)) (neg.f64 v) #s(literal 1 binary64))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -3 binary64) (neg.f64 v)) (neg.f64 v) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -3 binary64) (fabs.f64 v)) (fabs.f64 v) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 v v)) #s(literal 3 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal -3 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal -3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 3 binary64) (neg.f64 (*.f64 v v)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (.f64 (.f64 v #s(literal -3 binary64)) v))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (.f64 (.f64 v #s(literal -3 binary64)) v))
(neg.f64 (fma.f64 (*.f64 v #s(literal 3 binary64)) v #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 v #s(literal -3 binary64)) v)))
#s(literal -3 binary64)
(neg.f64 #s(literal 3 binary64))
#s(approx (- 1 (* v v)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64)) (*.f64 v v)))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64)) (*.f64 v v))
(.f64 (.f64 v v) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) v)
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) (neg.f64 v)) (neg.f64 v))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) (fabs.f64 v)) (fabs.f64 v))
(.f64 v (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) v))
(.f64 (neg.f64 v) (.f64 (neg.f64 v) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(.f64 (fabs.f64 v) (.f64 (fabs.f64 v) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 v v)) (.f64 #s(literal -1 binary64) (*.f64 v v)))
(+.f64 (.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (.f64 v v))) (.f64 (*.f64 v v) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 v v) (.f64 #s(literal -1 binary64) (.f64 v v)))
(fma.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 v v) #s(literal -1 binary64)))
(neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 v v))) (*.f64 v v)))
(neg.f64 (.f64 (.f64 v v) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v)))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal -1 binary64) v) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
(fma.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) v)) (fabs.f64 (/.f64 #s(literal 1 binary64) v)) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 v v))) #s(literal -1 binary64))
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal -1 binary64) v))
(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) v))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 v v)))
(*.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) v)) (fabs.f64 (/.f64 #s(literal 1 binary64) v)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 v v))))
(/.f64 (/.f64 #s(literal 1 binary64) v) v)
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(/.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 v))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 v)) (fabs.f64 v))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (neg.f64 v))
(/.f64 (/.f64 #s(literal 1 binary64) v) (neg.f64 (neg.f64 v)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 v v)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) v) v))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) (neg.f64 v)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 v v))))
(pow.f64 v #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal -1 binary64))

eval22.0ms (0.6%)

Memory: 27.4MiB live, 27.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 8 787 to 1 267 computations (85.6% saved)

prune8.0ms (0.2%)

Memory

-38.9MiB live, 7.4MiB allocated; 3ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	245	1	246
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	246	7	253

Accuracy

100.0%

Counts

253 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	57.7%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) #s(approx (- 1 ( v v)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64)) (*.f64 v v))))
	56.3%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) #s(literal 1 binary64))) #s(approx (- 1 (* v v)) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) #s(literal 1 binary64)) (.f64 v v))))
✓	99.3%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
✓	98.8%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
✓	98.7%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓	20.0%	#s(approx (* 1/2 (* (sqrt (+ 1 (* -3 (* v v)))) (- 1 (* v v)))) #s(literal 1/2 binary64))

Compiler

Compiled 186 to 132 computations (29% saved)

regimes23.0ms (0.7%)

Memory

35.6MiB live, 35.6MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

2 → 1

5 → 1

13 → 1

Calls

Call 1

Inputs
#s(approx (* 1/2 (* (sqrt (+ 1 (* -3 (* v v)))) (- 1 (* v v)))) #s(literal 1/2 binary64))

Outputs
#s(approx (* 1/2 (* (sqrt (+ 1 (* -3 (* v v)))) (- 1 (* v v)))) #s(literal 1/2 binary64))

Call 2

Inputs

#s(approx (* 1/2 (* (sqrt (+ 1 (* -3 (* v v)))) (- 1 (* v v)))) #s(literal 1/2 binary64))

#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))

Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))

Call 3

Inputs
#s(approx (* 1/2 (* (sqrt (+ 1 (* -3 (* v v)))) (- 1 (* v v)))) #s(literal 1/2 binary64))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) #s(literal 1 binary64))) #s(approx (- 1 (* v v)) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) #s(literal 1 binary64)) (.f64 v v))))

Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))

Outputs

#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))

Call 4

Inputs
#s(approx (* 1/2 (* (sqrt (+ 1 (* -3 (* v v)))) (- 1 (* v v)))) #s(literal 1/2 binary64))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) #s(literal 1 binary64))) #s(approx (- 1 (* v v)) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) #s(literal 1 binary64)) (.f64 v v))))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) #s(approx (- 1 ( v v)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64)) (*.f64 v v))))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #s(approx (- 1 (* v v)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64)) (*.f64 v v))))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #s(approx (- 1 (* v v)) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) #s(literal 1 binary64)) (.f64 v v))))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #s(approx (- 1 (* v v)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) #s(literal 1 binary64)))))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #s(approx (- 1 (* v v)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)))))

Outputs

(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))

Calls

12 calls:

3.0ms	v
3.0ms	(*.f64 v v)
3.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
2.0ms	v
1.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
20.0%	1	`(*.f64 v v)`
20.0%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
20.0%	1	`v`
98.7%	1	`(*.f64 v v)`
98.7%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
98.7%	1	`v`
98.8%	1	`(*.f64 v v)`
98.8%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
98.8%	1	`v`
100.0%	1	`(*.f64 v v)`
100.0%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
100.0%	1	`v`

Compiler

Compiled 442 to 144 computations (67.4% saved)

derivations1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 91 to 42 computations (53.8% saved)

preprocess34.0ms (1%)

Memory: -32.5MiB live, 64.9MiB allocated; 11ms collecting garbage
Remove: (abs v)
Compiler: Compiled 292 to 192 computations (34.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0.1%)

sample972.0ms (28.1%)

preprocess72.0ms (2.1%)

series143.0ms (4.1%)

rewrite774.0ms (22.4%)

eval29.0ms (0.8%)

prune6.0ms (0.2%)

series163.0ms (4.7%)

rewrite241.0ms (7%)

eval79.0ms (2.3%)

prune13.0ms (0.4%)

series174.0ms (5%)

rewrite242.0ms (7%)

eval77.0ms (2.2%)

prune8.0ms (0.2%)

series144.0ms (4.2%)

rewrite228.0ms (6.6%)

eval22.0ms (0.6%)

prune8.0ms (0.2%)

regimes23.0ms (0.7%)

derivations1.0ms (0%)

preprocess34.0ms (1%)

end0.0ms (0%)

Profiling